2020
6
3
0
340
1

An Efficient Implementation of Phase Field Method with Explicit Time Integration
https://jacm.scu.ac.ir/article_14725.html
10.22055/jacm.2019.30242.1699
1
The phase field method integrates the Griffith theory and damage mechanics approach to predict crack initiation, propagation, and branching within one framework. No crack tracking topology is needed, and complex crack shapes can be captures without user intervention. In this paper, a detailed description of how the phase field method is implemented with explicit dynamics into LSDYNA is provided. The displacement field and the damage field are solved in a staggered approach and the phase field equation is solved every Nth time step (N is refered to as calculation cycle) to save computational time. An N value smaller than 1/400 of the total time step numbers is suggested. Several simulations are presented to demonstrate the feasibility of this solving scheme.
0

373
382


Wenlong
Zhang
Department of Civil Engineering, University of Cincinnati, Cincinnati, OH, 45220, USA
Iran
zhang2wl@mail.uc.edu


Ala
Tabiei
Department of Civil Engineering, University of Cincinnati, Cincinnati, OH, 45220, USA
Iran
tabieia@ucmail.uc.edu
Phase field method
Calculation cycle
LSDYNA
Explicit time integration
[[1] T. Rabczuk, T. Belytschko, Cracking particles: A simplified meshfree method for arbitrary evolving cracks, International Journal for Numerical Methods in Engineering, 61(13), 2004, 23162343.##[2] T. Rabczuk, G. Zi, S. Bordas, N.X. Hung, A simple and robust threedimensional crackingparticle method without enrichment, Computer Methods in Applied Mechanics and Engineering, 199(37–40), 2010, 24372455.##[3] H.L. Ren, X.Y. Zhuang, C. Anitescu, T. Rabczuk. An explicit phase field method for brittle dynamic fracture, Computers and Structures, 217, 2019, 4556.##[4] H. Ren, X. Zhuang, T. Rabczuk, Dualhorizon peridynamics: A stable solution to varying horizons, Computer Methods in Applied Mechanics and Engineering, 318, 2017, 762782.##[5] W. J. Boettinger, J. A. Warren, C. Beckermann, A. Karma, PhaseField Simulation of Solidification, Annual Review of Materials Research, 32(1), 2002, 163–194.##[6] G. A. Francfort, J.J. Marigo, Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, 46(8), 1998, 13191342.##[7] B. Bourdin, G. A. Francfort, J.J. Marigo, The Variational Approach to Fracture, Journal of Elasticity, 91(1–3), 2008, 5–148.##[8] B. Bourdin, G. Francfort, J.J. Marigo, Numerical experiments in revisited brittle fracture, Journal of the Mechanics and Physics of Solids, 48(4), 2000, 797826.##[9] C. Miehe, F. Welschinger, M. Hofacker, Thermodynamically consistent phasefield models of fracture: Variational principles and multifield FE implementations, International Journal for Numerical Methods in Engineering, 83(10), 2010, 1273–1311.##[10] A. Tabiei, W. Zhang, Cohesive element approach for dynamic crack propagation: Artificial compliance and mesh dependency, Engineering Fracture Mechanics, 180, 2017, 2342.##[11] A. Tabiei, J. Wu, Development of the DYNA3D simulation code with automated fracture procedure for brick elements, International Journal for Numerical Methods in Engineering, 57(14), 2003, 1979–2006.##[12] X. F. Hu, B. Y. Chen, M. Tirvaudey, V. B. C. Tana, T. E.Tay, Integrated XFEMCE analysis of delamination migration in multidirectional composite laminates, Composites Part A: Applied Science and Manufacturing, 90, 2016, 161173.##[13] H. Ulmer, M. Hofacker, C. Miehe, Phase Field Modeling of Brittle and Ductile Fracture, Gesellschaft fur Angewandte Mathematik und Mechanik, 13(1), 2013, 533536.##[14] M. Hofacker, C. Miehe, A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns, International Journal for Numerical Methods in Engineering, 93(3), 2013, 276–301.##[15] M. J. Borden, T. J. R. Hugh, C. M. Landis, C. V. Verhoosel, A higherorder phasefield model for brittle fracture: Formulation and analysis within the isogeometric analysis framework, Computer Methods in Applied Mechanics and Engineering, 273, 2014, 100118.##[16] C. Hesch, K. Weinberg, Thermodynamically consistent algorithms for a finitedeformation phasefield approach to fracture, International Journal for Numerical Methods in Engineering, 99(12), 2014, 906924.##[17] C. V. Verhoosel, R. de Borst, A phasefield model for cohesive fracture, International Journal for Numerical Methods in Engineering, 96(1), 2013, 4362.##[18] S. Zhou, X. Zhuang, T. Rabczuk, A phasefield modeling approach of fracture propagation in poroelastic media, Engineering Geology, 240, 2018, 189203.##[19] M. A. Msekh, N. H. Cuong, G. Zi, P. Areias, X. Zhuang, T. Rabczuk, Fracture properties prediction of clay/epoxy nanocomposites with interphase zones using a phase field model, Engineering Fracture Mechanics, 188, 2018, 287299.##[20] G. Molnár and A. Gravouil, 2D and 3D Abaqus implementation of a robust staggered phasefield solution for modeling brittle fracture, Finite Elements in Analysis and Design, 130, 2017, 2738.##[21] G. Liu, Q. Li, M. A. Msekh, Z. Zuo, Abaqus implementation of monolithic and staggered schemes for quasistatic and dynamic fracture phasefield model, Computational Materials Science, 121, 2016, 35–47.##[22] E. G. Kakouris, S. P. Triantafyllou, Phasefield material point method for brittle fracture, International Journal for Numerical Methods in Engineering, 112(12), 2017, 17501776.##[23] C. Miehe, M. Hofacker, F. Welschinger, A phase field model for rateindependent crack propagation: Robust algorithmic implementation based on operator splits, Computer Methods in Applied Mechanics and Engineering, 199(45–48), 2010, 27652778.##[24] C. Miehe, F. Welschinger, M. Hofacker, Thermodynamically consistent phase‐field models of fracture: Variational principles and multifield FE implementations, International Journal for Numerical Methods in Engineering, 83(10), 2010, 12731311.##[25] W. Zhang, A. Tabiei, D. French, Comparison Between Discontinuous Galerkin Method and Cohesive Element Method: On the Convergence and Dynamic Wave Propagation Issue, International Journal of Computational Methods in Engineering Science and Mechanics, 19(5), 2018, 363373.##]
1

Finite Element Analysis of Low Velocity Impact on Carbon Fibers/Carbon Nanotubes Reinforced Polymer Composites
https://jacm.scu.ac.ir/article_14510.html
10.22055/jacm.2019.29072.1554
1
An effort is made to gain insight on the effect of carbon nanotubes (CNTs) on the impact response of carbon fiber reinforced composites (CFRs) under low velocity impact. Certain amount of CNTs could lead improvements in mechanical properties of composites. In the present investigation, ABAQUS/Explicit finite element code (FEM) is employed to investigate various damages modes of nano composites including matrix cracking, fiber damage and delamination by employing Hashin’s criterion and cohesive zone modeling. The obtained results for 0, 0.5, 1, 2 and 4% CNTs demonstrate that by including CNTs in composite plates, damage could be reduced. However, adding further CNTs causes sudden reduction of impact tolerance capability of the composite plates, particularly, damage due to delamination.
0

383
393


Farzad
Pashmforoush
Department of Mechanical Engineering, Faculty of Engineering, University of Maragheh, Maragheh, Iran.
Iran
f.pashmforoush@maragheh.ac.ir
Nanocomposites
Impact behavior
Finite element analysis
Damage mechanisms
Carbon nanotubes
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Composite Structures, 217(3), 2019, 100121.##[10] Tuo, H., Lu, Z., Ma, X., Zhang, C., Chen, S., An experimental and numerical investigation on lowvelocity impact damage and compressionafterimpact behavior of composite laminates, Composites Part B: Engineering, 167, 2019, 329341.##[11] Tuo, H., Lu, Z., Ma, X., Xing, J., Zhang C., Damage and failure mechanism of thin composite laminates under lowvelocity impact and compressionafterimpact loading conditions, Composites Part B: Engineering, 163, 2019, 642654.##[12] Ren, R., Zhong, J., Le, G., Ma, D., Research on intralaminar load reversal damage modeling for predicting composite laminates’ low velocity impact responses. Composite Structures, 220, 2019, 481493.##[13] Wang, J., Fang, Z., Gu, A., Xu, L., Liu, F., Effect of aminofunctionalization of multiwalled carbon nanotubes on the dispersion with epoxy resin matrix, Journal of Applied Polymer Science, 100(1), 2006, 97–104.##[14] Singh, H., Mahajan, P., Modeling damage induced plasticity for low velocity impact simulation of three dimensional fiber reinforced composite, Composite Structures, 131, 2015, 290–303.##[15] Riccio, A., De Luca, A., Di Felice, G., Caputo, F., Modelling the simulation of impact induced damage onset and evolution in composites, Composites Part B, 66, 2014, 340–347.##[16] Donadon, M.V., Iannucci, L., Falzon, B.G., Hodgkinson, J.M., Almeida, S.F.M., A progressive failure model for composite laminates subjected to low velocity impact damage, Composite Structures, 86, 2008, 1232–52.##[17] Faggiani, A., Falzon, B.G., Predicting lowvelocity impact damage on a stiffened composite panel, Composites Part A, 41, 2010, 737–49.##[18] Iannucci L, Ankersen J., An energy based damage model for thin laminated composites, Composite Science and Technology, 66, 2006, 934–51.##[19] Yokoyama, N.O., Donadon, M.V., Almeida, S.F.M., A numerical study on the impact resistance of composite shells using an energy based failure model, Composite Structures, 93, 2010, 142–52.##[20] Shi, Y., Swait, T., Soutis, C., Modelling damage evolution in composite laminates subjected to low velocity impact, Composite Structures, 94, 2012, 2902–2913.##[21] Wan, Y., Diao, C., Yang, B., Zhang, L., Chen, S., GF/epoxy laminates embedded with wire nets: A way to improve the lowvelocity impact resistance and energy absorption ability, Composite Structures, 202, 2018, 818835.##[22] Qian, Q., Xie, D., Analysis of mixedmode dynamic crack propagation by interface element based on virtual crack closure technique, Engineering Fracture Mechanics, 74, 2007, 807814.##[23] He, W., Liu, J., Tao, B., Xie, D., Liu, J., Zhang, M., Experimental and numerical research on the low velocity impact behavior of hybrid corrugated core sandwich structures, Composite Structures, 158, 2016, 3043.##[24] Tarfaoui, M., Moumen, A., Lafdi, K., Progressive damage modeling in carbon fibers/carbon nanotubes reinforced polymer composites, Composites Part B: Engineering, 112, 2017, 185195.##[25] Matzenmiller, A., Lubliner, J., Taylor, R.L., A constitutive model for anisotropic damage in fibercomposites, Mechanics of Materials, 20, 1995, 12552.##[26] Song, Y.S., Youn, J.R. Influence of dispersion states of carbon nanotubes on physical properties of epoxy nanocomposites, Carbon, 43, 2005, 13781385.##[27] Schadler L.S., Giannaris S.C., Ajayan P.M., Load transfer in carbon nanotube epoxy composites, Applied Physics Letters, 73, 1998, 3842e4.##[28] Allaoui, A., Bai, S., Cheng, H.M., Bai, J.B., Mechanical and electrical properties of a MWNT/epoxy composite, Composite Science and Technology, 62, 2002, 19931998.##[29] Thostenson, E.T., Ren, Z., Chou, T.W., Advances in the science and technology of carbon nanotubes and their composites: a review, Composite Science and Technology, 61, 2001, 18991912.##[30] Qian, D., Wagner, G.J., Liu, W.K., Yu, M.F., Ruoff, RS., Mechanics of carbon nanotubes, Applied Physics Letters, 55, 2002, 495533.##[31] Schadler, L.S., Giannaris, S.C., Ajayan, P.M., Load transfer in carbon nanotube epoxy composites, Applied Physics Letters 73, 1998, 38423844.##[32] Zhu, J., Peng, H., RodriguezMacias, F., Margrave, J.L., Khabashesku, V.N., Imam, A.M., Lozano, K., Barrera, E.V., Reinforcing epoxy polymer composites through covalent integration of functionalized nanotubes, Advanced Functional Materials, 14, 2004, 643648.##[33] Sun, L., Gibson, R.F., Gordaninejad, F., Suhr, J., Energy absorption capability of nanocomposites: A review, Composites Science and Technology, 69, 2009, 2392–2409.##[34] Wang, W., Wan, X., Zhou, J., Zhao, M., Damage and Failure of Laminated CarbonFiberReinforced Composite under LowVelocity Impact, Journal of Aerospace Engineering, 27(2), 2014.##[35] Cooper, C.A., Ravich, D., Lips, D., Mayer, J., Wagner, H.D., Distribution and alignment of carbon nanotubes and nanofibrils in a polymer matrix, Composites Science and Technology, 62(7–8), 2002, 1105–12.##[36] Kireitseu, M., Hui, D., Tomlinson, G., Advanced shockresistant and vibration damping of nanoparticlereinforced composite material, Composites Part B: Engineering, 39(1), 2008, 128–38.##[37] Krueger, R., The virtual crack closure technique: history, approach and applications. NASA/CR2002e211628. 2002.##[38] Dugdale, D., Yielding of steel sheets containing slits, Journal of Mechanics and Physics of Solids, 8(2), 1960, 100104.##[39] Barenblatt, G. The mathematical theory of equilibrium cracks in brittle fracture, Advanced Applied Mechanics, 7, 1962, 55129.##[40] Bedon, C., Fragiacomo, M., ThreeDimensional Modelling of Notched Connections for Timber–Concrete Composite Beams, Journal of Structural Engineering International, 27, 2017, 184196.##[41] Bedon, C., Machalická, K., Eliášová, M., Vokáč, M., Numerical modeling of adhesive connections including cohesive damage, Challenging Glass 6 , Conference on Architectural and Structural Applications of Glass, 6, 2018, 112.##[42] Baretta, R., Feo, L., Luciano, R., Marotti De Sciarra, F., A gradient Eringen model for functionally graded nanorods, Composite Structurrs, 131, 2015, 11241131.##[43] Baretta, R., Feo, L., Luciano, R., Marotti De Sciarra, F., Application of an enhanced version of the Eringen differential model to nanotechnology, Composites Part B: Engineering, 96, 2016, 274280.##[44] Baretta, R., Feo, L., Luciano, R., Marotti De Sciarra, F., An Eringenlike model for Timoshenko nanobeams, Composite Structures, 139, 2016, 104110.##[45] Baretta, R., Feo, L., Luciano, R., Marotti, D.S.F., Functionally graded Timoshenko nanobeams: A novel nonlocal gradient formulation, Composites Part B: Engineering, 100, 2016, 208219.##[46] Hashin, Z., Failure Criteria for Unidirectional Fiber Composites, Journal of Applied Mechanics 47(2), 1980, 329334.##[47] Hamitouche, L., Tarfaoui, M., Vautrin, A., An interface debonding law subject to viscous regularization for avoiding instability: Application to the delamination problems, Engineering Fracture Mechanics, 75, 2008, 3084–3100.##[48] Jiang, W.G., Hallett, S.R., Green, B.G., Wisnom, M.R., A concise interface constitutive law for analysis of delamination and splitting in composite materials and its application to scaled notched tensile specimens, International Journal of Numerical Methods in Engineering, 69, 2007, 1982–1995.##[49] Mollenhauer, D., Iarve, E.V., Kim, R., Langley, B., Examination of ply cracking in composite laminates with open holes: a moire interferometric and numerical study, Composites Part A, 37, 2006, 282–294.##[50] Hallett, S.R., Green, B.G., Jiang, W.G., Wisnom. M.R., An experimental and numerical investigation into the damage mechanisms in notched composites, Composites Part A, 40, 2009, 613–624.##[51] Prathap, G., The Finite Element Method in Structural Mechanics, Solid Mechanics and Its Applications series, Springer, 10.1007/9789401733199.##[52] Tarfaoui, M., Lafdi, K., Moumen, A.E., Mechanical properties of carbon nanotubes based polymer composites, Composites Part B, 103, 2016, 113121.##]
1

Simple Two Variable Refined Theory for Shear Deformable Isotropic Rectangular Beams
https://jacm.scu.ac.ir/article_14620.html
10.22055/jacm.2019.29555.1615
1
In this paper, a displacementbased, variationally consistent, two variable refined theory for shear deformable beams is presented. The beam is assumed to be of linearly elastic, homogeneous, isotropic material and has a uniform rectangular crosssection. In this theory, the beam axial displacement and beam transverse displacement consist of bending components and shearing components. The assumed displacement field of this theory is such that, bending components do not take part in the crosssectional shearing force, and shearing components do not take part in the crosssectional bending moment. This theory utilizes linear straindisplacement relations. The displacement functions give rise to the beam transverse shear strain (and hence to the beam transverse shear stress) which varies quadratically through the beam thickness and maintains transverse shear stressfree beam surface conditions. Hence the shear correction factor is not required. Hamilton’s principle is utilized to derive governing differential equations and variationally consistent boundary conditions. This theory involves only two governing differential equations of fourthorder. These governing equations are only inertially coupled for the case of dynamics and are decoupled for the case of statics. This theory is simple and has a strong resemblance with the BernoulliEuler beam theory. To demonstrate the efficacy of the present theory, illustrative examples pertain to the static bending and free vibrations of shear deformable isotropic rectangular beams are presented.
0

394
415


R.P.
Shimpi
Department of Aerospace Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India
Iran
rpshimpi@aero.iitb.ac.in


P.J.
Guruprasad
Department of Aerospace Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India
Iran
pjguru@aero.iitb.ac.in


K.S.
Pakhare
Department of Aerospace Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India
Iran
kedar188200@gmail.com
Refined beam theory
Two variable
Shear deformation theory
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C.J., Elastic Buckling Load of Multistory Frames Consisting of Timoshenko Members, Journal of Constructional Steel Research, 71, 2012, 231244.##[14] Gantes, C.J., Kalochairetis, K.E., Axially and Transversely Loaded Timoshenko and Laced Builtup Columns with Arbitrary Supports, Journal of Constructional Steel Research, 77, 2012, 95106.##[15] Chan, K.T., Lai, K.F., Stephen, N.G., Young, K., A New Method to Determine the Shear Coefficient of Timoshenko Beam Theory, Journal of Sound and Vibration, 330(14), 2011, 34883497.##[16] Cowper, G.R., The Shear Coefficient in Timoshenko’s Beam Theory, ASME Journal of Applied Mechanics, 33(2), 1966, 335340.##[17] Jensen, J.J., On the Shear Coefficient in Timoshenko's Beam Theory, Journal of Sound and Vibration, 87(4), 1983, 621635.##[18] Hutchinson, J.R., Shear Coefficients for Timoshenko Beam Theory, ASME Journal of Applied Mechanics, 68(1), 2001, 8792.##[19] Stephen, N.G., Levinson, M., A Second Order Beam Theory, Journal of Sound and Vibration, 67(3), 1979, 293305.##[20] Levinson, M., A New Rectangular Beam Theory, Journal of Sound and Vibration, 74(1), 1981, 8187.##[21] Levinson, M., Further Results of a New Beam Theory, Journal of Sound and Vibration, 77, 1981, 440444.##[22] Rehfield, L.W., Murthy, P.L.N., Toward a New Engineering Theory of BendingFundamentals, AIAA Journal, 20(5), 1982, 693699.##[23] Levinson, M., On Bickford's consistent higher order beam theory, Mechanics Research Communications, 12(1), 1985, 0109.##[24] Heyliger, P.R., Reddy, J.N., A Higher Order Beam Finite Element for Bending and Vibration Problems, Journal of Sound and Vibration, 126(2), 1988, 309326.##[25] Kant, T., Gupta, A., A Finite Element Model for a Higherorder Sheardeformable Beam Theory, Journal of Sound and Vibration, 125(2), 1988, 193202.##[26] Kant, T., Manjunath, B.S., Refined Theories for Composite and Sandwich Beams with C0 Finite Elements, Computers & Structures, 33(3), 1989, 755764.##[27] Soldatos, K.P., Elishakoff, I., A Transverse Shear and Normal Deformable Orthotropic Beam Theory, Journal of Sound and Vibration, 155, 1992, 528533.##[28] Karama, M., Afaq, K.S., Mistou, S., Mechanical Behaviour of Laminated Composite Beam by the New Multilayered Laminated Composite Structures Model with Transverse Shear Stress Continuity, International Journal of Solids and Structures, 40(6), 2003, 15251546.##[29] Benatta, M.A., Mechab, I., Tounsi, A., Adda Bedia, E.A., Static Analysis of Functionally Graded Short Beams Including Warping and Shear Deformation Effects, Computational Materials Science, 44(2), 2008, 765773.##[30] Benatta, M.A., Tounsi, A., Mechab, I., Bachir Bouiadjra, M., Mathematical Solution for Bending of Short Hybrid Composite Beams with Variable Fibers Spacing, Applied Mathematics and Computation, 212(2), 2009, 337348.##[31] Mahi, A., Adda Bedia,, E.A., Tounsi, A., Mechab, I., An Analytical Method for Temperaturedependent Free Vibration Analysis of Functionally Graded Beams with General Boundary Conditions, Composite Structures, 92(8), 2010, 18771887.##[32] Shi, G., Voyiadjis, G.Z., A Sixthorder Theory of Shear Deformable Beams with Variational Consistent Boundary Conditions, ASME Journal of Applied Mechanics, 78(2), 2011, 021019.##[33] Karttunen, A.T., von Hertzen, R., Variational Formulation of the Static Levinson Beam Theory, Mechanics Research Communications, 66, 2015, 1519.##[34] Mantari, J.L., Canales, F.G., A Unified Quasi3D HSDT for the Bending Analysis of Laminated Beams, Aerospace Science and Technology, 54, 2016, 267275.##[35] Canales, F.G., Mantari, J.L., Buckling and Free Vibration of Laminated Beams with Arbitrary Boundary Conditions using a Refined HSDT, Composites Part B: Engineering, 100, 2016, 136145.##[36] Wang, C.M., Reddy, J.N., Lee, K.H., Shear Deformable Beams and Plates: Relationships with Classical Solutions, Elsevier Science Ltd, New York, 2000, 17.##[37] Shimpi, R.P., Refined Plate Theory and Its Variants, AIAA Journal, 40(1), 2002, 137146.##[38] Shimpi, R.P., Patel, H.G., Arya, H., New Firstorder Shear Deformation Plate Theories, ASME Journal of Applied Mechanics, 74(3), 2007, 523533.##[39] Murty, A.V.K., Vibrations of Short Beams, AIAA Journal, 8(1), 1970, 3438.##[40] Murty, A.V.K., Analysis of Short Beams, AIAA Journal, 8, 1970, 20982100.##[41] Murty, A.V.K., Toward a Consistent Beam Theory, AIAA Journal, 22(6), 1984, 811816.##[42] Murty, A.V.K., On the Shear Deformation Theory for Dynamic Analysis of Beams, Journal of Sound and Vibration, 101(1), 1985, 112.##[43] Shimpi, R.P., Patel, H.G., Free Vibrations of Plate using Two Variable Refined Plate Theory, Journal of Sound and Vibration, 296(45), 2006, 979999.##[44] Shimpi, R.P., Patel, H.G., A Two Variable Refined Plate Theory for Orthotropic Plate Analysis, International Journal of Solids and Structures, 43(2223), 2006, 67836799.##[45] El Meiche, N., Tounsi, A., Ziane, N., Mechab, I., Adda Bedia, E.A., A New Hyperbolic Shear Deformation Theory for Buckling and Vibration of Functionally Graded Sandwich Plate, International Journal of Mechanical Sciences, 53(4), 2011, 237247.##[46] Daouadji, T.H., Henni, A.H., Tounsi, A., Adda Bedia, E.A., A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates, Modelling and Simulation in Engineering, 2012, 2012, 29.##[47] Daouadji, T.H., Tounsi, A., Adda Bedia, E.A., A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates, Advances in Applied Mathematics and Mechanics, 5(3), 2013, 351364.##[48] Sayyad, A.S., Ghugal, Y.M., Naik, N.S., Bending Analysis of Laminated Composite and Sandwich Beams According to Refined Trigonometric Beam Theory, Curved and Layered Structures, 2(1), 2015, 279289.##[49] Sayyad, A.S., Ghugal, Y.M., Shinde, P.N., Stress Analysis of Laminated Composite and Soft Core Sandwich Beams using a Simple Higher Order Shear Deformation Theory, Journal of Serbian Society for Computational Mechanics, 9(1), 2015, 1535.##[50] Shimpi, R.P., Guruprasad, P.J., Pakhare, K.S., Single Variable New Firstorder Shear Deformation Theory for Isotropic Plates, Latin American Journal of Solids and Structures, 15(10), 2018, 125.##[51] Bathe, K.J., Finite Element Procedures, Prentice Hall, New Jersey, 1996, 116120, 338484.##[52] Kabir, H.R.H., A Shearlocking Free Robust Isoparametric Threenode Triangular Finite Element for Moderatelythick and Thin Arbitrarily Laminated Plates, Computers & Structures, 57(4), 1995, 589597.##[53] Reddy, J.N., On Lockingfree Shear Deformable Beam Finite Elements, Computer Methods in Applied Mechanics and Engineering, 149(14), 1997, 113132.##[54] Ainsworth, M., Pinchedez, K., The hpMITC Finite Element Method for the Reissner–Mindlin Plate Problem, Journal of Computational and Applied Mathematics, 148(2), 2002, 429462.##[55] Reddy, J.N., Energy Principles and Variational Methods in Applied Mechanics, John Wiley & Sons Inc, New York, 2002, 112114, 177203.##[56] Haojiang, D., Dejin, H., Huiming, W., Analytical Solution for Fixedend Beam Subjected to Uniform Load, Journal of Zhejiang UniversitySCIENCE, 6(8), 2005, 779783.##[57] Venkatraman, B., Patel, S.A., Structural Mechanics with Introductions to Elasticity and Plasticity, McGrawHill Book Company, New York, 1970, 158165.##[58] Srinivas, S., Rao, A.K., Rao, C.J., Flexure of Simply Supported Thick Homogeneous and Laminated Rectangular Plates, Zeitschrift für Angewandte Mathematik und Mechanik, 49(8), 1969, 449458.##[59] Pagano, N.J., Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates, Journal of Composite Materials, 4(1), 1970, 2034.##[60] Touratier, M., An Efficient Standard Plate Theory, International Journal of Engineering Science, 29(8), 1991, 901916.##[61] Sayyad, A.S., Comparison of Various Refined Beam Theories for the Bending and Free Vibration Analysis of Thick Beams, Applied and Computational Mechanics, 5, 2011, 217230.##]
1

Vibration Analysis of Different Types of Porous FG Conical Sandwich Shells in Various Thermal Surroundings
https://jacm.scu.ac.ir/article_14572.html
10.22055/jacm.2019.29442.1598
1
Vibration behavior of different types of porous functionally graded (FG) conical sandwich shells are investigated based on a modified high order sandwich shells theory for the first time. Sandwich shell includes FG face sheets covering a homogeneous core and the second one includes homogeneous face sheets and a FG core. Power law rule modified by considering two types of porosity distributions is used to model the functionally graded materials. All materials are temperature dependent and uniform, linear and nonlinear temperature distributions are used to model the effect of the temperature variation in the sandwiches. Governing equations are obtained by the Hamilton's energy principle and solved with Galerkin method. To verify the results, they are compared with ones achieved by finite element method obtained by Abaqus software for special cases with the results in literatures.
0

416
432


Mohsen
Rahmani
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin,, Iran
Iran
mohsen_rahmani@ymail.com


Younes
Mohammadi
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
Iran
u.mohammadi@gmail.com


Farshad
Kakavand
Department of Mechanical Engineering, Takestan Branch, Islamic Azad University, Takestan, Iran
Iran
f.kakavand@gmail.com


Hamed
Raeisifard
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
Iran
h.raeisifard@gmail.com
Conical sandwich shell
Porosity
FG core
Temperature Dependent
Vibration
[[1] Vinson, J., The behavior of sandwich structures of isotropic and composite materials, TECHNOMIC, Pennsylvania, 2018.##[2] Mahamood, R.M., Akinlabi, E.T., Functionally graded materials. Springer, New York, 2017.##[3] Chen C.S., Liu F.H, Chen W.R., Vibration and stability of initially stressed sandwich plates with FGM face sheets in thermal environments. Steel & Composite Structures, 23(3), 2017, 251261.##[4] Benlahcen F., Belakhdar K. Sellami, M. Tounsi A., Thermal buckling resistance of simply supported FGM plates with parabolicconcave thickness variation. Steel & Composite Structures, 29(5), 2018, 591602.##[5] Khayat M., Dehghan S.M., Najafgholipour M.A., Baghlani A., Free vibration analysis of functionally graded cylindrical shells with different shell theories using semianalytical method. Steel & Composite Structures, 28(6), 2018, 735748.##[6] Arefi M., Kiani M., Zamani M.H., Nonlocal strain gradient theory for the magnetoelectroelastic vibration response of a porous FGcore sandwich nanoplate with piezomagnetic face sheets resting on an elastic foundation. Journal of Sandwich Structures & Materials, 2018; 1099636218795378.##[7] Akbas S.D. Postbuckling responses of functionally graded beams with porosities. Steel & Composite Structures, 24(5), 2017, 579589.##[8] Benferhat R., Hassaine D., Hadji L., Said M., Static analysis of the FGM plate with porosities. Steel & Composite Structures, 21(1), 2016, 123136.##[9] Reddy J.N., Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering. 47(1‐3), 2000, 663684.##[10] Frostig Y., Baruch M., Vilnay O., Sheinman, I., Highorder theory for sandwichbeam behavior with transversely flexible core. Journal of Engineering Mechanics. 118(5), 1992, 10261043##[11] Jedari Salami S., Free vibration analysis of sandwich beams with carbon nanotube reinforced face sheets based on extended highorder sandwich panel theory. Journal of Sandwich Structures & Materials, 20(2), 2018, 219248.##[12] Frostig Y., Kardomateas G., Geometrical nonlinear thermal response of sandwich panels with temperature dependent mechanical properties—Extended highorder approach. Journal of Sandwich Structures & Materials, 2019, 1099636218820703.##[13] Mohammadi, Y., Khalili, S.M.R., Malekzadeh Fard, K., Low velocity impact analysis of sandwich plates with functionally graded face sheets. Mechanics of Advanced Materials and Structures, 23(4), 2016, 363374.##[14] Mohammadi, Y., Khalili, S.R., Effect of geometrical and mechanical properties on behaviour of sandwich beams with functionally graded face sheets under indentation loading. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 225(4), 2011, 231244.##[15] Van Tung, H., Thermal and thermo mechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties. Composite Structures, 131, 2015, 10281039.##[16] Khalili, S.M.R., Mohammadi, Y., Free vibration analysis of sandwich plates with functionally graded face sheets and temperaturedependent material properties: A new approach. European Journal of MechanicsA/Solids, 35, 2012, 6174.##[17] Duc N.D., Tuan N.D., Tran P., Quan T.Q., Van Thanh N., Nonlinear dynamic response and vibration of imperfect eccentrically stiffened sandwich thirdorder shear deformable FGM cylindrical panels in thermal environments. Journal of Sandwich Structures & Materials, 21(8), 2019, 28162845.##[18] Fazzolari, F.A., Natural frequencies and critical temperatures of functionally graded sandwich plates subjected to uniform and nonuniform temperature distributions. Composite Structures. 121, 2015, 197210.##[19] Talebitooti, M., Thermal effect on free vibration of ringstiffened rotating functionally graded conical shell with clamped ends. Mechanics of Advanced Materials and Structures. 25(2), 2018, 15565.##[20] Sofiyev A.H., Parametric vibration of FGM conical shells under periodic lateral pressure within the shear deformation theory. Composites Part B: Engineering, 89, 2016, 282294.##[21] Jin G., Ye T., Su Z., Conical Shells. In: Structural Vibration. Springer, Berlin, Heidelberg, 2015.##[22] Sofiyev A.H., Buckling analysis of freelysupported functionally graded truncated conical shells under external pressures. Composite Structures, 132, 2015, 746758.##[23] Van Dung D., Chan D.Q., Analytical investigation on mechanical buckling of FGM truncated conical shells reinforced by orthogonal stiffeners based on FSDT. Composite Structures, 159, 2017, 827841.##[24] Sofiyev A.H., Kuruoglu N., On a problem of the vibration of functionally graded conical shells with mixed boundary conditions. Composites Part B: Engineering, 70, 2015, 122130##[25] Sofiyev A.H., Schnack E., The vibration analysis of FGM truncated conical shells resting on twoparameter elastic foundations. Mechanics of Advanced Materials and Structures, 19(4), 2012, 241249.##[26] Bardell N.S., Langley R.S., Dunsdon J.M., Aglietti G.S., An hp finite element vibration analysis of open conical sandwich panels and conical sandwich frusta. Journal of Sound and Vibration, 226(2), 1999, 345377.##[27] Liu R.H., Li J., Nonlinear vibration of shallow conical sandwich shells. International Journal of NonLinear Mechanics, 30(2), 1995, 97109.##[28] Shu C., An efficient approach for free vibration analysis of conical shells. International Journal of Mechanical Sciences, 38(89), 1996, 935949.##[29] Tornabene F., Viola E., Inman D.J., 2D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures. Journal of Sound and Vibration, 328(3), 2009, 259290.##[30] Sofiyev A.H., 2012. The nonlinear vibration of FGM truncated conical shells. Composite Structures, 94(7), 22372245.##[31] Najafov A.M., Sofiyev A.H., Kuruoglu N., On the solution of nonlinear vibration of truncated conical shells covered by functionally graded coatings. Acta Mechanica, 225(2), 2014, 563580.##[32] Heydarpour Y., Aghdam M.M., Malekzadeh P., Free vibration analysis of rotating functionally graded carbon nanotubereinforced composite truncated conical shells. Composite Structures, 117, 2014, 187200.##[33] Sofiyev A.H., Osmancelebioglu E., The free vibration of sandwich truncated conical shells containing functionally graded layers within the shear deformation theory. Composites Part B: Engineering, 120, 2017, 197211.##[34] Mouli B.C., Kar V.R., Ramji K., Rajesh M., Free vibration of functionally graded conical shell. Materials Today: Proceedings, 5(6), 2018, 1430214308.##[35] Kiani Y., Dimitri R., Tornabene F., Free vibration study of composite conical panels reinforced with FGCNTs. Engineering Structures, 172, 2018, 472482.##[36] Sofiyev A.H., Application of the first order shear deformation theory to the solution of free vibration problem for laminated conical shells. Composite Structures, 188, 2018, 340346.##[37] Shakouri M., Free vibration analysis of functionally graded rotating conical shells in thermal environment. Composites Part B: Engineering, 163, 2019, 574584.##[38] Sofiyev, A. H., Review of research on the vibration and buckling of the FGM conical shells. Composite Structures, 211, 2019, 301317.##[39] Shen, H.S., Functionally Graded Materials Nonlinear Analysis of Plates and Shells. CRC Press, New York, 2009.##[40] Boutahar, L., Benamar, R., A homogenization procedure for geometrically nonlinear free vibration analysis of functionally graded annular plates with porosities, resting on elastic foundations, Ain Shams Engineering Journal, 7(1), 2016, 313313.##[41] Reddy, J.N., Mechanics of Laminated Composite Plates and Shells, Theory and Application. CRC Press, New York, 2003.##[42] Lam K.Y., Li H., Influence of boundary conditions on the frequency characteristics of a rotating truncated circular conical shell. Journal of Sound and Vibration, 223, 1999, 171–195.##[43] Li F.M., Kishimoto K., Huang. W.H., The calculations of natural frequencies and forced vibration responses of conical shell using the Rayleigh–Ritz method. Mechanics Research Communications, 36(5), 2009, 595602.##[44] Reddy, J.N., Thermomechanical behavior of functionally graded materials. Texas A&M Univ. College Station, Dept. of Mechanical Engineering, 1998.##]
1

Heat Transfer Analysis of Nanofluid Flow with Porous Medium through Jeffery Hamel Diverging/Converging Channel
https://jacm.scu.ac.ir/article_14616.html
10.22055/jacm.2019.29467.1601
1
In this paper, flow and heat transfer of nanofluid through a converging or diverging channel with porous medium is investigated. The fluid constantly flows under the effect of magnetic field through the channel. The diverging/converging fluid motion is modeled using the momentum and energy equations. The influence of some parameters such as opening channel angle, Reynolds number and Darcy’s number when the nanofluid flows through the nonparallel plates are studied. It is seen that high Reynolds number enhances the fluid viscosity while decreases velocity. Similarly, heat transfer reduces at high Darcy’s number owing to decreased flow consequently internal friction reduces. The obtained results in comparison with the similar studies in the literatures show satisfactory agreement.
0

433
444


Akinbowale T.
Akinshilo
Department of Mechanical Engineering, University of Lagos, Akoka Yaba, Lagos, Nigeria
Iran
ta.akinshilo@gmail.com


Adeleke
Ilegbusi
Department of Mechanical Engineering, Yaba College of Technology, Yaba, Lagos, Nigeria
Iran
wilkyj4uall@yahoo.co.uk


Hafiz M.
Ali
Department of Mechanical Engineering, University of Engineering and Technology, Taxila, Pakistan
Iran
h.m.ali@qmul.ac.uk


AbdulJalil
Surajo
Department of Chemical Engineering, Ahmadu Bello University, Zaria, Kaduna, Nigeria
Iran
abbasurajo@gmail.com
Jeffery Hamel
Nanofluid
Diverging/Converging plates
Porous medium
HPM
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D., Viscoelastic flow and species transfer in a Darcian high permeability channel, Journal of Petrol Science Engineering, 76, 2011, 9399.##[4] Ziabaksh, Z., Domairry, G., Solution of laminar viscous flow in semi porous channel in the presence of a uniform magnetic field by using homotopy analysis method, Communications in Nonlinear Science and Numerical Simulations, 14(4), 2009, 12841294.##[5] Raftari, B., Yildirim, A., The application of homotopy perturbation method for MHD flows above porous stretching sheets, Computers & Mathematics with Application, 59, 2010, 740744.##[6] Sheikholeslami, M., Hatami, M.M., Ganji, D.D., Analytical investigation of MHD nanofluid flow in a semiporous channel, Powder Technology, 246, 2013, 327336.##[7] Hassan, A.R., Fenuga, O.J., Flow of Maxwell fluid through a porous medium induced by a constantly accelerating plate, Journal of Nigeria Association of Mathematical Physics, 19, 2005, 249254.##[8] Jha, B.K., Free convection flow through an annular porous medium, Heat and Mass Transfer, 41, 2005, 675679.##[9] Makinde, O.D., Thermal ignition in a reactive viscous flow through a channel filled with porous medium, Journal of Heat Transfer, 128, 2006, 601604.##[10] Darcy, H., The public fountains of the town of Dijon, Dalmont, Paris, 1856.##[11] Fand, R.M., Steinberg, T.E. P. Cheng, P, Natural convection heat transfer from a horizontal cylinder embedded in a porous medium, International Journal of Heat and Mass Transfer, 29, 1986, 119133.##[12] Sobamowo, M.G., Akinshilo, A.T., Yinusa, A.A., ThermoMagnetoSolutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions, Modeling and Simulation in Engineering, 2018, ID: 7364634.##[13] Russell, A.J.B., 75th anniversary of existence of electromagnetic hydrodynamic waves, School of Science and Engineering, University of Dundee, Scotland, UK, 2018.##[14] Selimefendigil, F., Oztop, H.F., Corrugated conductive partition effects on MHD free convection of CNTwater nanofluid in a cavity, International Journal of Heat and Mass Transfer, 129, 2019, 265277.##[15] Selimefendigil, F., Oztop, H.F., Modelling and optimization of MHD convection in a lid driven trapezoidal cavity filled with aluminawater nanofluid: Effects of electrical conductivity models, International Journal of Mechanical Sciences, 136, 2018, 264278.##[16] Selimefendigil, F., Oztop, H.F., Mixed convection of nanofluid filled cavity with oscillating lid under the influence of an inclined magnetic field, Journal of the Taiwan Institute of Chemical Engineers, 63, 2016, 202215.##[17] Selimefendigil, F., Oztop, H.F., Magnetic field effects on the forced convection of CuOwater nanofluid flow in a channel with circular cylinders and thermal predictions using ANFIS, International Journal of Mechanical Sciences, 146, 2018, 924.##[18] Selimefendigil, F., Coban, S.O., Ozttop, H.F., Electrical conductivity effect on MHD mixed convection of nanofluid flow over a backwardfacing step, Journal of Central South University, 26(5), 2019, 11331145.##[19] Selimefendigil, F., Oztop, H.F., Fluidsolid interaction of elasticstep type corrugation effects on mixed convection of nanofluid in a vertical cavity with magnetic field, International Journal of Mechanical Sciences, 152, 2019, 185197.##[20] Raftari, B., Vajrevulu, K., Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall, Communications Nonlinear Science and Numerical Simulations, 17(11), 2012, 41494162.##[21] Hatami, M., Nouri, R., Ganji, D.D., Forced convection analysis for MHD Al2O3water nanofluid flow over a horizontal plate, Journal of Molecular Liquids, 187, 2013, 294301.##[22] Hatami, M., Sheikholeslami, M., Hosseini, M., Ganji, D.D., Analytical investigation of MHD nanofluid flow in nonparallel walls, Journal of Molecular Liquids, 194, 2014, 251259.##[23] Sheikholeslami, M., GorjiBandpy, M., Ganji, D.D., Numerical investigation of MHD effects on Al2O3water nanofluid flow and heat transfer in a semiannulus using LBM, Energy, 60, 2013, 501510.##[24] Sheikholeslami, M., GorjiBandpy, M., Ganji, D.D., Lattice Boltzman method for MHD natural convection heat transfer using nanofluid, Powder Technology, 254, 2014, 8293.##[25] Sheikholeslami, M., Hatami, M., Ganji, D.D., Nano fluid flow and heat transfer in a rotating system in the presence of a magnetic field, Journal of Molecular Liquids, 190, 2014, 112120.##[26] Sheikholeslami, M., Ganji, D.D., Entropy generation of nanofluid in presence of magnetic field using lattice boltzmann method, Physica A, 417, 2015, 273286.##[27] Hussein, A.K., Mustafa. A., Natural convection in fully open parallelogrammic cavity filled with Cuwater nanofluid and heated locally from its bottom wall, Thermal Science and Engineering Progress, 1, 2017, 6677.##[28] Prabhakar, B., Ul Haq, R., Bandari, S., AlMdallal, Q.M., Thermal radiation and slip effects on MHD stagnation point flow of nonNewtonian nanofluid over a convective stretching surface, Neural Computing and Applications, 31(1), 2019, 207217.##[29] Qasim, M., Khan, Z.H., Khan, I., AlMdallal, Q.M., Analysis of entropy generation in flow of methanolbased nanofluid in a sinusoidal wavy channel, Entropy, 19(10), 2017, 490497.##[30] Ganesh, N.V., ALMdallal, Q.M., Chamkha, A.J., A numerical investigation of Newtonian fluid flow with buoyancy, thermal slip of order two and entropy generation, Case Studies in Thermal Engineering, 13, 2019, 100376.##[31] Aman, S., AlMdallal Q., Khan I., Heat transfer and second order slip effect on MHD flow of fractional Maxwell fluid in a porous medium, Journal of King Saud University Science, 2018, https://doi.org/10.1016/j.jksus.2018.07.007.##[32] Ganesh, N.V., Kameswaran, P.K., AlMdallal, Q.M., Abdul, H.A.K., Ganga, B., Nonlinear thermal radiative Maragoni boundary layer flow of gamma Al2O3 nanofluid past a stretching sheet, Journal of Nanofluid, 7(5), 2018, 944950.##[33] Ramachandran, P.S., Mathur, M.N., Ohja, S.K., Heat transfer in boundary layer flow of a micropolar fluid past a curved surface with suction and injection, International Journal of Engineering Science, 17, 1979, 625639.##[34] Berman, A.S., Laminar flow in a channel with porous wall, Journal of Applied Physics, 27, 1953, 12321235.##[35] Domairry, G., Fazeli, M., Homotopy analysis method to determine the fin efficiency of convective straight fin with temperature dependent thermal conductivity, Communication in Nonlinear Science and Numerical Simulation, 14, 2009, 489499.##[36] Cosun, S.B., Atay, M.T., Fin efficiency analysis of convective straight fin with temperature dependent thermal conductivity using variational iteration method, Applied Thermal Engineering, 28, 2008, 23452352.##[37] Languri, E.M., Ganji, D.D., Jamshidi, N., Variational iteration and homotopy perturbation methods for fin efficiency of convective straight fins with temperature dependent thermal conductivity, 5th WSEAS International Conference on Fluid Mechanics, Acapulco, Mexico, 2008.##[38] Oguntala, G., Sobamowo, M.G., Garlerkin method of weighted residuals for convective straight fins with temperature dependent conductivity and internal heat generation, International Journal of Engineering and Technology, 6, 2008, 432442.##[39] FilobelloNiño, U., VazquezLeal, H., Boubaker, K., Khan, Y., PerezSesma, A., Sarmiento Reyes, A., JimenezFernandez, V.M., DiazSanchez, A., HerreraMay, A., SanchezOrea, J., PereyraCastro, K., Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation, Asian Journal of Mathematics and Statistics, 6(2), 2013, 7682.##[40] Lim, C.W., Wu, B.S., A modified Mickens procedure for certain nonlinear oscillators, Journal of Sound and Vibration, 257, 2002, 202206.##[41] Cheung, Y.K., Chen, S.H., Lau, S.L., A modified LindsteadtPoincare method for certain strongly nonlinear oscillators, International Journal of NonLinear Mechanics, 26, 1991, 367378.##[42] Lewis, R.W., Nithiarasu, P., Seatharamu, K.N., Fundamentals of the finite element method for heat and fluid flow, Antony Rowe Ltd, Wiltshire, Great Britain, 2004.##[43] Sobamowo, M.G., Jaiyesimi, L.O., Waheed, M.A., Magneto hydrodynamic squeezing flow analysis of nanofluid under the effect of slip boundary conditions using the variation of parameters method, Karbala International Journal of Modern Science, 4(1), 2018, 107118.##[44] Kargar, A., Akbarzade, M., Analytical solution of Natural convection Flow of a nonNewtonian between two vertical parallel plates using the Homotopy Perturbation Method, World Applied Sciences Journal, 20, 2012, 14591465.##[45] Ganesh, N.V., Chamkha, A.J., AlMdallal, Q.M., Kameswaran, P.K., MagnetoMaragoni boundary layer flow of water and ethylene glycol based γ Al2O3 nanofluids with non linear thermal radiation effects, Case Studies in Thermal Engineering, 12, 2018, 340348.##[46] Ganesh, N.V., AlMdallal, Q.M., Kameswaran, P.K., Numerical study of MHD effective Prandtl number boundary layer flow of γ Al2O3 nanofluids past a melting surface, Case Studies in Thermal Engineering, 13, 2019, 100413.##[47] Rehman, K.U., Al Mdallal, Q.M., Malik, M.Y., Symmetry analysis on thermally magnetized fluid flow regime with heat source/sink, Case Studies in Thermal Engineering, 13, 2019, 100452.##[48] Joneidi, A.A., Ganji, D.D., Babaelahi, M., Micropolar flow in a porous channel with high mass transfer, International Communication in Heat and Mass Transfer, 36, 2009, 10821088.##[49] Pour, M.S., Nassab, S.A.G., Numerical investigation of forced laminar convection flow of nanofluid over a backward step under bleeding condition, 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magnetic field, Journal of the Taiwan Institute of Chemical Engineers, 67, 2017, 467475.##[60] RahimiGorji, M., Pourmehran, O., Hatami,M., Ganji, D.D., Statistical optimization of microchannel heat sink (MCHS) geometry cooled by different nanofluids using RSM analysis, European Physical Journal Plus, 130(2), 2015, 22p.##[61] Biglarian, M., Gorji, M.R., Pourmehran, O., Domairry, G., H2O based different nanofluids with unsteady condition and an external magnetic field on permeable channel heat transfer, International Journal of Hydrogen Energy, 42(34), 2017, 2200522014.##[62] Mosayebidorcheh, S., RahimiGorji, M., Ganji, D.D., Moayebidorcheh, T., Transient thermal behavior of radial fins of rectangular, triangular and hyperbolic profiles with temperaturedependent properties using DTMFDM,##Journal of Central South University, 24(3), 2017, 675682.##]
1

On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and PhaseLags
https://jacm.scu.ac.ir/article_14668.html
10.22055/jacm.2019.29960.1649
1
In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction and depict microscopic responses more precisely. The constructed model is applied to study thermoelastic waves in a homogeneous and isotropic perfect conducting unbounded solid body containing a spherical cavity. We use the Laplace transform method to analyze the problem. The solutions for the field functions are obtained numerically using the numerical Laplace inversion technique. The results are analyzed in different tables and graphs and compared with those obtained earlier in the contexts of some other theories of thermoelasticity.
0

445
456


Ahmed
Abouelregal
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Iran
ahabogal@gmail.com
Thermoelasticity
GreenNaghdi model II
Phaselags
Higherorder
Spherical cavity
[[1] Biot, M., Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., 27, 1956, 240–253.##[2] Hetnarski, R.B., Ignaczak, J., Generalized Thermoelasticity, J. Thermal Stresses, 22, 1999, 451–470.##[3] Hetnarski, R.B. and Ignaczak, J., Nonclassical Dynamical Thermoelasticity, Inter. J. Solids Struct., 37, 2000, 215–224.##[4] Chandrasekharaiah, D.S., Hyperbolic Thermoelasticity, A Review of Recent Literature, Appl. Mech. Rev., 51, 1998, 705–729.##[5] Lord, H., Shulman, Y., A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solids, 15, 1967, 299.##[6] Green, A.E., Lindsay, K.A., Thermoelasticity, J. Elasticity, 2, 1972, 1–7.##[7] Ignaczak, J., Generalized Thermoelasticity and its Applications, in R. B. Hetnarski (ed.), Mechanical and Mathematical Methods, Thermal Stresses III, North Holland, 1989.##[8] Tzou, D.Y., A Unified Field Approach for Heat Conduction from Macro to MicroScales, ASME J. Heat Transfer, 117, 1995, 8–16.##[9] Tzou, D.Y., The Generalized Lagging Response in SmallScale and HighRate Heating, Int. J. Heat Mass Transfer, 38, 1995, 3231–3240.##[10] Tzou, D.Y., Experimental Support for the Lagging Behavior in Heat Propagation, AIAA J. Thermophys. Heat Transfer, 9, 1995, 686–693.##[11] Chandrasekharaiah, D.S., Hyperbolic Thermoelasticity: A Review of Recent Literature, Appl. Mech. Rev., 51, 1998, 705–729.##[12] Quintanilla, R., Racke, R., A Note on Stability of Dual PhaseLag Heat Conduction, Int. J. Heat. Mass Transf., 49, 2006, 1209–1213.##[13] Quintanilla, R., Racke, R., Qualitative Aspects in Dual PhaseLag Heat Conduction, Proc. Royal Soc. A., 463, 659–674, 2007.##[14] Zenkour, A.M., Abouelregal, A.E., Effects of PhaseLags in a Thermoviscoelastic Orthotropic Continuum with a Cylindrical Hole and Variable Thermal Conductivity, Arch. Mech., 67, 2015, 457–475.##[15] Zenkour, A.M., Mashat, D.S., Abouelregal, A.E., The Effect of DualPhaseLag Model on Reflection of Thermoelastic Waves in a Solid Half Space with Variable Material Properties, Acta Mech. Solida Sinica, 26, 2013, 659–670.##[16] Prasad, R., Kumar, R., Mukhopadhyay, S., Propagation of Harmonic Plane Waves under Thermoelasticity with DualPhaseLags, Int. J. Eng. Sci., 48(12), 2010, 2028–2043.##[17] Borgmeyer, K., Quintanilla, R., Racke, R., PhaseLag Heat Condition: Decay Rates for Limit Problems and WellPosedness, J. Evol. Equ., 14, 2014, 863884.##[18] Liu, Z., Quintanilla, R., Time Decay in DualPhaseLag Thermoelasticity: Critical Case, Comm. Pure Appl. Analy., 17(1), 2018, 177190.##[19] Guo, F.L., Wang, G.Q., Rogerson, G.A., Analysis of Thermoelastic Damping in Micro and Nanomechanical Resonators based on DualPhaseLag Generalized Thermoelasticity Theory, Int. J. Eng. Sci., 60, 2012, 5965.##[20] Abbas, I.A., A Dual Phase Lag Model on Thermoelastic Interaction in an Infinite FiberReinforced Anisotropic Medium with a Circular Hole, Mech. Based Des. Struct. Machines, 43, 2015, 501–513.##[21] Green, A.E., Naghdi, P.M., A Reexamination of the Basic Postulates of Thermomechanics, Proc. Roy. Soc. Lond. A, 432, 1991, 171–194.##[22] Green, A.E., Naghdi, P.M., On Undamped Heat Waves in an Elastic Solid, J. Therm. Stress., 15, 1992, 253–264.##[23] Green, A.E., Naghdi, P.M., Thermoelasticity without Energy Dissipation, J. Elasticity, 31, 1993, 189–208.##[24] Chandrasekharaiah, D.S., A Note on the Uniqueness of Solution in the Linear Theory of Thermoelasticity without Energy Dissipation, J. Elasticity, 43(3), 1996, 279–283.##[25] Chandrasekharaiah, D.S., A Uniqueness Theorem in the Theory of Thermoelasticity without Energy Dissipation, J. Therm. Stresses, 19(3), 1996, 267–272.##[26] Choudhuri, S.R., On a Thermoelastic ThreePhaseLag Model, J. Therm. Stresses, 30(3), 2007, 231–238.##[27] ElKaramany, A.S., Ezzat, M.A., On the PhaseLag GreenNaghdi Thermoelasticity Theories, Appl. Math. Model., 40, 2016, 5643–5659.##[28] Ciarletta, M.A., Theory of Micropolar Thermoelasticity without Energy Dissipation, J. Therm. Stresses, 22, 2009, 581–594.##[29] Chiriţă, S., Ciarletta, M., Reciprocal and Variational Principles in Linear Thermoelasticity without Energy Dissipation, Mech. Res. Commun., 37, 2010, 271–275.##[30] Ieşan, D., On a Theory of Thermoelasticity without Energy Dissipation for Solids with Microtemperatures, Z. Angew. Math. Mech., 98(6), 2018, 870885.##[31] Quintanilla, R., On Existence in Thermoelasticity without Energy Dissipation, J. Therm. Stresses, 25, 2002, 195202.##[32] Allam, M.N., Elsibai K.A., Abouelregal, A.E., ElectromagnetoThermoelastic Problem in a Thick Plate using Green and Naghdi Theory, Int. J. Eng. Sci., 47, 2009, 680690.##[33] Allam, M.N., Elsibai K.A., Abouelregal, A.E., ElectromagnetoThermoelastic Plane Waves without Energy Dissipation for an Infinitely Long Annular Cylinder in a Harmonic Field, J. Therm. Stresses, 30, 2007,195–210.##[34] Marin, M., Baleanu, D., On Vibrations in Thermoelasticity without Energy Dissipation for Micropolar Bodies, Bound. Val. Prob., 2016, 2016, 111.##[35] Khedr M.El., Khader, S.A., A Problem in Thermoelasticity with and without Energy Dissipation, J. Phys. Math., 8(3), 2017, 1000243.##[36] Marin, M., Cesaro means in thermoelasticity of dipolar bodies, Acta Mech., 122(14), 1997, 155168.##[37] Hassan, M., Marin, M., Ellahi, R., Alamri, S.Z., Exploration of Convective Heat Transfer and Flow Characteristics Synthesis by Cu–Ag/Water HybridNanofluids, Heat Transfer Research, 49(18), 2018, 18371848.##[38] Chiriţă, S., Ciarletta, M., Tibullo, V., On the Wave Propagation in the Time Differential DualPhaseLag Thermoelastic Model, Proc. Royal Soc. A, 471, 2015, 20150400.##[39] Chiriţă, S., HighOrder Effects of Thermal Lagging in Deformable Conductors, Int. J. Heat Mass Trans., 127, 2018, 965–974.##[40] Cattaneo, C., A Form of Heat Conduction Equation which Eliminates the Paradox of Instantaneous Propagation, Comp. Rend., 247, 1958, 431433.##[41] Vernotte, P., Les paradoxes de la Theorie Continue de l’Equation de la Chaleur, Comp. Rend., 246, 1958, 31543155.##[42] Chiriţă, S., On the Time Differential DualPhaseLag Thermoelastic Model, Meccanica, 52, 2017, 349–361.##[43] Zenkour, A.M., Abouelregal, A.E., Alnefaie, K.A., AbuHamdeh, N.H., Seebeck Effect on a MagnetoThermoelastic Long Solid Cylinder with TemperatureDependent Thermal Conductivity, European J. Pure Appl. Math., 10(4), 2017, 786808.##[44] Chandrasekharaiah, D.S., Srinath, K.S., Thermoelastic Interactions without Energy Dissipation due to a Point Heat Source, J. Elasticity, 50, 1998, 97–108.##[45] Morse, P., Feshbach, H., Methods of Theoretical Physics, 1st ed., McGrawHill, New York, 1953.##[46] Honig, G., Hirdes, U., A Method for the Numerical Inversion of the Laplace Transform, J. Comput. Appl. Math., 10, 1984, 113–132.##[47] Mashat, D.S., Zenkour, A.M., Abouelregal, A.E., Fractional Order Thermoelasticity Theory for a HalfSpace Subjected to an Axisymmetric Heat Distribution, Mech. Adv. Mater. Struct., 22(11), 2015, 925–932.##[48] Zenkour, A.M. and Abouelregal, A.E., StateSpace Approach for an Infinite Medium with a Spherical Cavity Based Upon TwoTemperature Generalized Thermoelasticity Theory and Fractional Heat Conduction, Zeitsch. Angewandte Math. Phys., 65(1), 2014, 149–164.##[49] Quintanilla, R., Exponential Stability in the DualPhaseLag Heat Conduction Theory, J. NonEquil. Thermod., 27, 2002, 217–227.##[50] ElKaramany, A.S., Ezzat, M.A., On the PhaseLag GreenNaghdi Thermoelasticity Theories, Appl Math. Model., 40, 2016, 5643–5659.##[51] Ezzat, M.A., ElKaramany, A.S., Fractional Order Heat conduction Law in MagnetoThermoelasticity Involving Two Temperatures, Zeitsch. Angewandte Math. Phys., 62, 2011, 937–952.##[52] Ezzat, M.A., ElKaramany, A.S., Theory of Fractional Order in Electrothermoelasticity, Eur. J. Mech. A/Solid, 30, 2011, 491–500.##[53] Ezzat, M.A., Fayik, M., Fractional Order Theory of Thermoelastic Diffusion, J. Therm. Stresses, 34, 2013, 851–872.##[54] Xu, H.Y., Jiang, X.Y., Time Fractional DualPhaseLag Heat Conduction Equation, Chin. Phys. B, 24(3), 2015, 034401.##]
1

Thermal Buckling Analysis of Functionally Graded EulerBernoulli Beams with Temperaturedependent Properties
https://jacm.scu.ac.ir/article_14742.html
10.22055/jacm.2019.30449.1734
1
Thermal buckling behavior of functionally graded EulerBernoulli beams in thermal conditions is investigated analytically. The beam with material and thermal properties dependent on the temperature and position is considered. Based on the transformedsection method, the functionally graded beam is considered as an equivalent homogeneous EulerBernoulli beam with an effective bending rigidity under an eccentric thermal load. Then, the thermal elastic buckling equation associated with the bending deflection about the neutral axis is established. The easily usable closedform solutions for the critical thermal buckling temperature of functionally graded beams under uniform and nonlinear temperature rise are obtained and used to calculate the thermal buckling temperature. Some results are evaluated and compared with those by other investigators to validate the accuracy of the presented method. The effects of material compositions, temperaturedependent material properties, slenderness ratios and restraint conditions on thermal buckling behaviors are discussed. It is believed that the proposed model provides engineers and designers an easy and useful method to investigate the effects of various parameters affecting the thermal buckling characteristics of functionally graded beams.
0

457
470


WeiRen
Chen
Department of Mechanical Engineering, Faculty, Chinese Culture University, Taipei, Taiwan
Iran
wrchen@faculty.pccu.edu.tw


ChunSheng
Chen
Department of Mechanical Engineering, Faculty, Lunghwa University of Science and Technology, Guishan Shiang 33306, Taiwan
Iran
cschen@mail.lhu.edu.tw


Heng
Chang
Department of Mechanical Engineering, Faculty, Chinese Culture University, Taipei, Taiwan
Iran
hchang@faculty.pccu.edu.tw
Thermal buckling
EulerBernoulli beam
Transformedsection method
Functionally graded beam
Buckling temperature
[[1] Yang, J., Chen, Y, Free vibration and buckling analyses of functionally graded beams with edge cracks, Composite Structures, 83, 2008, 4860.##[2] Nguyen, T.K., Vo, T.P., Thai, H.T., Static and free vibration of axially loaded functionally graded beams based on the firstorder shear deformation theory, Composites: Part B, 55, 2013, 147–157.##[3] Li, S.R., Batra, R.C., Relations between buckling loads of functionally graded Timoshenko and homogeneous EulerBernoulli beams, Composite Structures, 95, 2013, 59.##[4] Li, S.R., Wang, X., Wan, Z., Classical and homogenized expressions for buckling solutions of functionally graded material Levinson beams, Acta Mechanica Solida Sinica, 28, 2015, 592604.##[5] Aydogdu, M., Semiinverse method for vibration and buckling of axially functionally graded beams, Journal of Reinforced Plastics and Composites, 27, 2008, 683691.##[6] Shahba, A., Attarnejad, R., Marvi, M.T., Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classic and nonclassical boundary conditions, Composites: Part B, 42, 2011, 801808.##[7] Shahba, A., Rajasekaran, S., Free vibration and stability of tapered EulerBernoulli beams made of axially functionally graded materials, Applied Mathematical Modelling, 36, 2012, 30943111.##[8] Rychlewska, J., Buckling analysis of axially functionally graded beams, Journal of Applied Mathematics and Computational Mechanics, 13, 2014, 103108.##[9] Torki, M.E., Reddy, J.N., Buckling of functionallygraded beams with partially delaminated piezoelectric layers, International Journal of Structural Stability and Dynamics, 16, 2016, 1450104 (25 pages).##[10] Shvartsman, B., Majak, J., Numerical method for stability analysis of functionally graded beams on elastic foundation, Applied Mathematical Modelling, 40, 2016, 3713–3719.##[11] Huang, Y., Zhang, M., Rong, H.W., Buckling analysis of axially functionally graded and nonuniform beams based on Timoshenko theory, Acta Mechanica Solida Sinica, 29, 2016, 200207.##[12] Nguyen, T.K., Vo, T.P., Nguyen, B.D., Lee, J., An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi3D shear deformation theory, Composite Structures, 156, 2016, 238252.##[13] Thai, C.H., Ferreira, A.J.M., Abdel Wahab, M., NguyenXuan, H., A moving Kriging meshfree method with naturally stabilized nodal integration for analysis of functionally graded material sandwich plates, Acta Mechanica, 229, 2018, 29973023.##[14] Kiani, Y., Eslami, M.R., Thermal buckling analysis of functionally graded materials beams, International Journal of Mechanics and Materials in Design, 6, 2010, 229238.##[15] Wattanasakulpong, N., Gangadhara Prusty, B., Kelly, D.W., Thermal buckling and elastic vibration of thirdorder shear deformable functionally graded beams, International Journal of Mechanical Sciences, 53, 2011, 734743.##[16] Kiani, Y., Taheri, S., Eslami, M.R., Thermal buckling of piezoelectric functionally graded material beams, Journal of Thermal Stresses, 34, 2011, 835850.##[17] Kiani, Y., Rezaei, M., Taheri, S., Eslami, M.R., Thermoelectrical buckling of piezoelectric functionally graded material Timoshenko beams, International Journal of Mechanics and Materials in Design, 7, 2011, 185197.##[18] Fallah, A., Aghdam, M.M., Thermomechanical buckling and nonlinear free vibration analysis of functionally graded beams on nonlinear elastic foundation, Composites: Part B, 43, 2012, 1523–1530.##[19] Fu, Y., Chen, Y., Zhang, P., Thermal buckling analysis of functionally graded beam with longitudinal crack, Meccanica, 48, 2013, 1227–1237.##[20] Anandrao, K.S., Gupta, R.K., Ramchandran, P., Rao, G.V., Thermal buckling and free vibration analysis of heated functionally graded material beams, Defense Science Journal, 63, 2013, 315322.##[21] Kiani, Y., Eslami, M.R., Thermalmechanical buckling of temperaturedependent FGM beams, Latin American Journal of Solids and Structures, 10, 2013, 223245.##[22] Esfahani, S.E., Kiani, Y., Eslami, M.R., Nonlinear thermal stability analysis of temperature dependent FGM beams supported on nonlinear hardening elastic foundations, International Journal of Mechanical Sciences, 69, 2013, 1020.##[23] Ghiasian, S.E., Kiani, Y., Eslami, M.R., Nonlinear thermal dynamic buckling of FGM beams, European Journal of Mechanics A/Solids, 54, 2015, 232242.##[24] Sun, Y., Li, S.R., Batra, R.C., Thermal buckling and postbuckling of FGM Timoshenko beams on nonlinear elastic foundation, Journal of Thermal Stresses, 39, 2016, 1126.##[25] Trinh, L.C., Vo, T.P., Thai, H.T., Nguyen, T.K., An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads, Composites: Part B, 100, 2016, 152163.##[26] Shenas, A.G., Malekzadeh, P., Ziaee, S., Thermoelastic buckling analysis of pretwisted functionally graded beams with temperaturedependent material properties, Acta Astronautica, 133, 2017, 113.##[27] Nguyen, T.K., Nguyen, B.D., Vo, T.P., Thai, H.T., Hygrothermal effects on vibration and thermal buckling behaviours of functionally graded beams, Composite Structures, 176, 2017, 10501060.##[28] Hosseini, M., Farhatnia, F., Oveissi, S. Functionally graded Timoshenko beams with elasticallyrestrained edge supports: thermal buckling analysis via Stokes’ transformation technique, Research on Engineering Structures & Materials, 4, 2018, 103125.##[29] Majumdar, A., Das, D., A study on thermal buckling load of clamped functionally graded beams under linear and nonlinear thermal gradient across thickness, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 232, 2018, 769784.##[30] Liu, Y., Su, S., Huang, H., Liang, Y., Thermalmechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane, Composites: Part B, 168, 2019, 236242.##[31] Thanh, C.L., Tran, L.V., Bui, T.Q., Nguyen, H.X., AbdelWahab, M., Isogeometric analysis for sizedependent nonlinear thermal stability of porous FG microplates, Composite Structures, 221, 2019, 110838.##[32] Zhang, J., Chen, L., Lv, Y., Elastoplastic thermal buckling of functionally graded material beams, Composite Structures, 224, 2019, 111014.##[33] Ugural, A.C., Mechanical Design: An Integrated Approach, McGrowHill Company, Singapore, 2004.##[34] Chen, W.R., Chang, H., Closedform solutions for free vibration frequencies of functionally graded EulerBernoulli beams, Mechanics of Composite Materials, 53, 2017, 7998.##[35] Chen, W.R., Chang, H., Vibration analysis of functionally graded Timoshenko beams, International Journal of Structural Stability and Dynamics, 18, 2018, 1850007 (24 pages).##[36] Touloukian, Y.S., Thermophysical properties of high temperature solids materials, MacMillan, New York, 1967.##[37] Reddy, J.N., Chin, C.D., Thermomechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses, 21, 1998, 593–626.##[38] Shen, H., Functionally graded materials, Nonlinear analysis of plates and shells, CRC press, New York, 2009.##]
1

Stability Assessment of the Flexible System using Redundancy
https://jacm.scu.ac.ir/article_14741.html
10.22055/jacm.2019.30781.1781
1
In this study, dynamic behavior of a mooring line in a floating system is analyzed by probability approaches. In dynamics, most researches have shown the system model and environments by mathematical expression. We called this process as the forward dynamics. However, there is a limit to define the exact environments because of uncertainty. To consider uncertainty, we introduce the redundancy in flexible system, mooring line. For verifying the effectiveness and stability of the mooring line, criterion of axial breaking load of the mooring line is applied to joint reaction forces according to the various path of the mooring line. To cover the limits for defining the nonlinearity of the environments, various responses of the mooring line along the redundancy that is used in Robotics, are derived by probability distribution. By using the NewtonEuler formulation, the inverse kinematics and the linear acceleration theorem to get joint displacements, velocities and accelerations, the joint reaction forces and moments are calculated and probability distribution of the mooring about stability and compatibility is investigated. Lastly, we simulate the flexible systems in various null motions, calculated each joint torque and force, and evaluated failure probabilities using the MonteCarlo method.
0

471
479


Yonghui
Park
Department of Mechanical Engineering, Pohang University of Science and Technology, 77, Cheongamro, Namgu, Pohangsi, Gyeonsangbukdo, Republic of Korea
Iran
yhpark@yuhan.ac.kr
Structural Analysis
Mooring line
Dynamics
NewtonEuler formulation
Redundancy
[[1] Y.C. Lim, K.S. Kim, J.M. Choung, J.W. Kim, J.T. Kim, S.H. Yeo, Study on Optimum Design of FPSO Spread Mooring System, Journal of Ocean Engineering and Technology, 23(6), 2009, 6166.##[2] D.H. Jung, J.H. Song, S.H. Shin, Preliminary Design of mooring line in floating wave energy farm, Journal of Ocean Engineering and Technology, 27(6), 2013, 1621.##[3] D.H. Jung, B.W. Nam, S.H., Shin, H.J. Kim, H.S. Lee, D.S. Moon, J.H. Song, Investigation of Safety and Design of Mooring Lines for Floating Wave Energy Conversion, Journal of Ocean Engineering and Technology, 26(4), 2012, 7785.##[4] D.H. Jung, S.H. Shin, B.W. Nam, H.J. Kim, H.S. Lee, D.S. Moon, Design for mooring line with using commercial software, in Proceedings of Annual conference of the Korean Society for Marine Environment & Energy, Daegu, 2012, 16881691.##[5] Y.J. Son, Y.H. Kim, J.S. Han, J.B. Noh, H.S. Choi, Dynamic analysis of a mooring line including the elasticity and bending effects, in Proceedings of Annual conference of the Society of Naval Architects of korea, Mokpo, 2011, 456462.##[6] H.K. Shin, D.S. Kim, A Study on the Static Analysis of MultiLeg Spread Mooring Systems, Journal of Ocean Engineering and Technology, 9(2), 1995, 5360.##[7] S.M. Lee, Y.C. Kim, Y.W. Kim, S.W. Hong, H.C. Kim, A Study on Nonlinear Analysis of Mooring Lines, Journal of the Society of Naval Architects of Korea, 23(1), 1986, 312.##[8] J.H. Lee, J.Y. Kim, J.H. Lee, D.H. Kim, H.K. Lim, S.H. Ryu, Inverse Kinematics Solution and Optimal Motion Planning for Industrial Robots with Redundancy, The Journal of Korea Robotics Society, 7(1), 2012, 3544.##[9] J.S. Kim, Position Control of a Redundant Flexible Manipulator, Transactions of the Korean Society of Machine Tool Engineers, 10(3), 2001, 8389.##[10] K.T. Shin, C.T. Choi, K.H. Lee, H.S. Ahn, The Inverse Kinematics and Redundancy of Reclaimers, Journal of Control, Automation and Systems Engineering, 3(5), 1997, 469475.##[11] E.J. Jung, B.J. Yi, W.K. Kim, Study of an Omnidirectional Mobile Robot with Kinematic Redundancy, The Journal of Korea Robotics Society, 3(4), 2008, 338344.##[12] J.H. Jin, C.S. Yoo, H. Ryu, M.J. Tahk, Redundant Controls Allocation by a Modified Pseudo inverse Redistribution Method, Journal of the Korean Society for Aeronautical & Space Sciences, 32(9), 2004, 6571.##[13] H.C. Lee, Y.K. Ji, J.H. Park, Geometric Analysis of inverse Kinematics and Control for 7DOF Robot Arm, in Proceedings of Annual conference of the Korean Society of Mechanical Engineers, Yongpyeong, Pyeongchang, 2009, 10721077.##[14] Y.W. Sung, M.J. Chung, A Study on the General Characteristics of Pseudoinversebased Methods for the Trajectory Planning of a Redundant Manipulator, Journal of the Korean Institute of Electrical Engineers, 47(1), 1998, 111116.##[15] S.R., Singiresu, Mechanical Vibrations 4th Edition, Prentice Hall, Upper Saddle River, New Jersey, 2004##[16] R.R. Craig, A.J. Kurdila, Fundamentals of structural dynamics, John Wiley & Sons, New York, 2006##[17] K.J. Bathe, Finite element procedures, Prentice Hall, Upper Saddle River, New Jersey, 1996##[18] B. Dasgupta, T.S. Mruthyunjaya, A NewtonEuler formulation for the inverse dynamics of the Stewart platform manipulator, Mechanism and Machine Theory, 33(8), 1998, 11351152.##[19] V. Aslanov, G. Kruglov, V. Yudintsev, NewtonEuler equations of multibody systems with changing structures for space applications, Acta Astronautica, 68(11), 2011, 20802087.##[20] E. Abdalla, H.J. Pu, M. Muller, A.A. Tantawy, L. Abdelatif, H. Nour Eldin, A novel parallel recursive NewtonEuler algorithm for modeling and computation of robot dynamics, Mathematics and Computers in Simulation, 37(2), 1994, 227240.##[21] B. Dasgupta, P. Choudhury, A general strategy based on the NewtonEuler approach for the dynamic formulation of parallel manipulator, Mechanism and Machine Theory, 34(6), 1999, 801824.##[22] A. Shabana, Computational Dynamics, John Wiley & Sons, New York, 2010##[23] A.K. Chopra, Dynamics of structures, Upper Saddle River, New Jersey, 1980.##[24] S. Jiang, S.Z. Duan, A Fourrigidbody Element Model and Computer Simulation for Flexible Components of Wind Turbines, in Proceedings of the ASME 2011 International Mechanical Engineering Congress & Exposition, Denver, 7, 2011, 935942.##[25] H.W. Kim, W.S. Yoo, Selection of damping model in vibration of flexible beams, in Proceedings of Annual conference of the Korean Society of Mechanical Engineers, Pyeongchang, 2007, 35383543.##[26] I. Ćatipović, V. Čorić, J. Radanović, An improved stiffness model for polyester mooring lines, Brodogradnja: Teorija i praksa brodogradnje i pomorske tehnike, 62(3), 2011, 235248.##[27] M. Van, H.J. Kang, Y.S. Suh, A novel Neural SecondOrder Sliding Mode Observer for Robust Fault Diagnosis in Robot Manipulators, International Journal of Precision Engineering and Manufacturing, 14(3), 2013, 397406.##[28] K.I. Lee, S.H. Yang, Robust Measurement Method and Uncertainty Analysis for PositionIndependent Geometric Errors of a Rotary Axis using a Double BallBar, International Journal of Precision Engineering and Manufacturing, 14(2), 2013, 231239.##[29] C.B. Lee, G.H. Kim, S.K. Lee, Uncertainty Investigation of Grating Interferometry in Six Degreeoffreedom Motion Error Measurements, International Journal of Precision Engineering and Manufacturing, 13(9), 2012, 15091515.##]
1

Emotional Learning Based Intelligent Controller for MIMO Peripheral Milling Process
https://jacm.scu.ac.ir/article_14664.html
10.22055/jacm.2019.30188.1696
1
During the milling process, one of the most important factors in reducing tool life expectancy and quality of workpiece is the chattering phenomenon due to selfexcitation. The milling process is considered as a MIMO strongly coupled nonlinear plant with time delay terms in cutting forces. We stabilize the plant using two independent Emotional Learningbased Intelligent Controller (ELIC) in parallel. Control inputs are considered as forces Ux and Uy in two directions x and y, which are applied by the piezoelectrics. The ELIC consists of three elements; Critic, TSK controller and the learning element. The results of the ELIC have been compared with a Sliding Mode Controller (SMC). The simulation for the nominal plant shows better performance of the ELIC in IAE and ITSE values at least 86% in the xdirection and 79% in the ydirection. Similar simulation for an uncertain plant also shows an improvement of at least 89% in the xdirection and 97% in the ydirection.
0

480
492


Arash
Bahari Kordabad
Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
Iran
abahari@mech.sharif.ir


Mehrdad
Boroushaki
Department of Energy Engineering, Sharif University of Technology, Tehran, Iran
Iran
boroushaki@sharif.edu
Emotional learning
Intelligent control
Peripheral milling
nonlinear MIMO
Timedelay
Sliding mode
[[1] Kalpakjian, S., Schmid, S., Manufacturing Processes for Engineering Materials, 5th Edition, Agenda, 2014.##[2] Tobias, S., Fishwick, W., Theory of regenerative machine tool chatter. The Engineer, 205(7), 1958, 199203.##[3] Tlusty, J., The stability of machine tools against selfexcited vibrations in machining. International Research in Production Engineering, 1963, 465474.##[4] Altintas, Y., Budak, E., Analytical Prediction of Stability Lobes in Milling. CIRP Annals, 44(1), 1995, 357362.##[5] Moradi, H., Movahhedy, M.R., Vossoughi, G., Dynamics of regenerative chatter and internal resonance in milling process with structural and cutting force nonlinearities. Journal of Sound and Vibration, 331(16), 2012, 38443865.##[6] Moradi, H., Vossoughi, G., Movahhedy, M.R., Bifurcation analysis of nonlinear milling process with tool wear and process damping: subharmonic resonance under regenerative chatter. International Journal of Mechanical Sciences, 85, 2014, 119.##[7] Liu, K., Rouch, K., Optimal passive vibration control of cutting process stability in milling. Journal of Materials Processing Technology, 28(12), 1991, 285294.##[8] Moradi, H., BakhtiariNejad, F., Movahhedy, M., Tuneable vibration absorber design to suppress vibrations: an application in boring manufacturing process. Journal of Sound and Vibration, 318(12), 2008, 93108.##[9] Rashid, A., Nicolescu, C.M., Design and implementation of tuned viscoelastic dampers for vibration control in milling. International Journal of Machine Tools and Manufacture, 48(9), 2008, 10361053.##[10] Hajikolaei, K.H., et al., Spindle speed variation and adaptive force regulation to suppress regenerative chatter in the turning process. Journal of Manufacturing Processes, 12(2), 2010, 106115.##[11] Tsai, N.C., Chen, D.C., Lee, R.M., Chatter prevention for milling process by acoustic signal feedback. 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International Journal of Computer Integrated Manufacturing, 12(5), 1999, 453460.##[17] JanabiSharifi, F., A neurofuzzy system for looper tension control in rolling mills. Control Engineering Practice, 13(1), 2005, 113.##[18] Zuperl, U., Cus, F., Milfelner, M., Fuzzy control strategy for an adaptive force control in endmilling. Journal of Materials Processing Technology, 164, 2005, 14721478.##[19] Thellaputta, G.R., et al., Adaptive neuro fuzzy model development for prediction of cutting forces in milling with rotary tools. Materials Today: Proceedings, 5(2), 2018, 74297436.##[20] Sallese, L., et al., Intelligent fixtures for active chatter control in milling. Procedia CIRP, 55, 2016, 176181.##[21] Ge, S.S., Tee, K.P., Approximationbased control of nonlinear MIMO timedelay systems. Automatica, 43(1), 2007, 3143.##[22] Moradi, H., Movahhedy, M.R., Vossoughi, G.R., Robust control strategy for suppression of regenerative chatter in turning. Journal of Manufacturing Processes, 11(2), 2009, 5565.##[23] Faassen, R., et al., Prediction of regenerative chatter by modelling and analysis of highspeed milling. International Journal of Machine Tools and Manufacture, 43(14), 2003, 14371446.##[24] Faassen, R., Chatter prediction and control for highspeed milling. Eindhoven: Eindhoven University of Technology, 2007.##[25] Farhangi, R., Boroushaki, M., Hosseini, S.H., Load–frequency control of interconnected power system using emotional learningbased intelligent controller. International Journal of Electrical Power & Energy Systems, 36(1), 2012, 7683.##[26] Fakhrazari, A., Boroushaki, M., Adaptive criticbased neurofuzzy controller for the steam generator water level. IEEE Transactions on Nuclear Science, 55(3), 2008, 16781685.##[27] Khadem, S., et al., Design and implementation of an emotional learning controller for force control of a robotic laparoscopic instrument. Frontiers in Biomedical Technologies, 1(3), 2015, 168181.##[28] Fatourechi, M., Lucas, C., Khakisedigh, A., Control effort reduction using emotional learning. in Proceedings of the Ninth Iranian Conference on Electrical Engineering, 2001.##[29] Barto, A.G., Sutton, R.S., Anderson, C.W., Neuronlike adaptive elements that can solve difficult learning control problems. IEEE Transactions on Systems, Man, and Cybernetics, 1983(5), 834846.##[30] Berenji, H.R., Khedkar, P., Learning and tuning fuzzy logic controllers through reinforcements. IEEE Transactions on Neural Networks, 3(5), 1992, 724740.##[31] Sugeno, M., Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 1985(1), 116132.##[32] Slotine, J.J.E., Li, W., Applied nonlinear control. Vol. 199, Prentice hall Englewood Cliffs, NJ, 1991.##[33] Gao, W., Hung, J.C., Variable structure control of nonlinear systems: A new approach. 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1

A FEM Multiscale Homogenization Procedure using Nanoindentation for High Performance Concrete
https://jacm.scu.ac.ir/article_14634.html
10.22055/jacm.2019.29832.1640
1
This paper aims to develop a numerical multiscale homogenization method for prediction of elastoviscoplastic properties of a high performance concrete (HPC). The homogenization procedure is separated into twolevels according to the microstructure of the HPC: the mortar or matrix level and the concrete level. The elastoviscoplastic behavior of individual microstructural phases of the matrix are identified from nanoindentation data using an inverse identification method. The micromechanical results are then used as input parameters for numerical elastoviscoplastic homogenization at microscale. The mortar level is analyzed with numerical homogenization by using the finite element simulation to predict the overall elastoviscoplastic properties of HPC. The results are compared with macroscopic experimental and analytical results from the literature showing a good agreement.
0

493
504


Fazilay
Abbès
GRESPI, University of Reims ChampagneArdenne, UFR SEN, Campus Moulin de la Housse, Reims, 51687, France
Iran
fazilay.abbes@univreims.fr


Boussad
Abbès
GRESPI, University of Reims ChampagneArdenne, UFR SEN, Campus Moulin de la Housse, Reims, 51687, France
Iran
boussad.abbes@univreims.fr


Rim
Benkabou
LGC, Department of Civil Engineering, Djillali Liabès University, Rue Kadi Benkadi, SidiBelAbbès, 22000, Algeria
Iran
ra.benkabou@univsba.dz


Aïssa
Asroun
LGC, Department of Civil Engineering, Djillali Liabès University, Rue Kadi Benkadi, SidiBelAbbès, 22000, Algeria
Iran
as.asroun@univsba.dz
Homogenization
Nanoindentation
Finite element simulation
Elastoviscoplastic model
Multiscale modeling
High performance concrete
[[1] Kanouté, P., Boso, D., Chaboche, J., Schrefler, B., Multiscale methods for composites: A review, Archives of Computational Methods in Engineering, 16, 2009, 31–75.##[2] Eshelby, J.D., The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London, A241(1226), 1957, 376–396.##[3] Hill, R., The elastic behavior of a crystalline aggregate, Proceedings of the Royal Society of London, A65, 1952, 349–354.##[4] Hashin, Z., and Shtrikman, S., A variational approach to the elastic behavior of multiphase minerals, Journal of the Mechanics and Physics of Solids, 11(2), 1963, 127–140.##[5] Hershey, A., The elasticity of an isotropic aggregate of anisotropic cubic crystals, Journal of Applied Mechanics – Transactions of the ASME, 21(3), 1954, 236–240.##[6] Zohdi, T. I., Oden, J., Rodin, G. J., Hierarchical modeling of heterogeneous bodies, Computer Methods in Applied Mechanics and Engineering, 138(14), 1996, 273 – 298.##[7] Fish, J., Shek, K., Pandheeradi, M., Shephard, M. S., Computational plasticity for composite structures based on mathematical homogenization: Theory and practice, Computer Methods in Applied Mechanics and Engineering, 148(12), 1997, 53–73.##[8] Feyel, F., Multiscale FE2 elastoviscoplastic analysis of composite structures, Computational Materials Science, 16(14), 1999, 344–354.##[9] Levy, A. and Papazian, J., Elastoplastic finite element analysis of shortfiberreinforced SiC/Al composites: effects of thermal treatment, Acta Metallurgica Materialia, 39(10), 1991, 2255 – 2266.##[10] Ghosh, S., Lee, K. and Moorthy, S., Two scale analysis of heterogeneous elasticplastic materials with asymptotic homogenization and voronoi cell finite element model, Computer Methods in Applied Mechanics and Engineering, 132(12), 1996, 63–116.##[11] Feyel, F. and Chaboche, J.L., FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials, Computer Methods in Applied Mechanics and Engineering, 183(34), 2000, 309–330.##[12] Sun, L. and Ju, J., Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part II: Applications, International Journal of Solids and Structures, 38(2), 2001, 203–225.##[13] Borges, D.C. and Pituba J.J.C., Analysis of quasibrittle materials at mesoscopic level using homogenization model, Advances in Concrete Construction, 5(3), 2017, 221240.##[14] Constantinides, G. and Ulm, F.J., The effect of two types of C–S–H on the elasticity of cementbased materials: results from nanoindentation and micromechanical modeling, Cement and Concrete Research, 34(1), 2004, 67–80.##[15] Sorelli, L., Constantinides, G., Ulm, F.J. and Toutlemonde, F., The nanomechanical signature of ultrahigh performance concrete by statistical nanoindentation techniques, Cement Concrete Research, 38(12), 2008, 1447–1456.##[16] Němeček, J., Králík, V. and Vondrejc, J., Micromechanical analysis of heterogeneous structural materials, Cement and Concrete Composites, 36, 2013, 85–92.##[17] Da Silva, W.R.L., Němeček, J. and Štemberk, P., Application of multiscale elastic homogenization based on nanoindentation for high performance concrete, Advances in Engineering Software, 62–63, 2013, 109–118.##[18] Fakhari Tehrani, F., Absi, J., Allou, F. and Petit, Ch., Heterogeneous numerical modeling of asphalt concrete through use of a biphasic approach: Porous matrix/inclusions, Computational Materials Science, 69, 2013, 186–196.##[19] Zhou, C., Li, K. and Ma, F., Numerical and statistical analysis of elastic modulus of concrete as a threephase heterogeneous composite, Computers and Structures, 139, 2014, 33–42.##[20] Caballero, A., Lopez, C.M. and Carol, I., 3D mesostructural analysis of concrete specimens, Computer Methods in Applied Mechanics and Engineering, 195, 2006, 7182–7195.##[21] Shahbeyk, S., Hosseini, M. and Yaghoobi, M., Mesoscale finite element prediction of concrete failure, Computational Materials Science, 50, 2011, 1973–1990.##Shim, S., Oliver, W.C. and Pharr, G.M., A critical examination of the Berkovich vs. conical indentation based on 3D finite element calculation, MRS Proceedings, 841, 2004, R9.5.##[22] Sun, B. and Li, Z., Adaptive concurrent multiscale FEM for transscale damage evolution in heterogeneous concrete, Computational Materials Science, 99, 2015, 262–273.##[23] Tedesco, J.W., Hughes, M.L. and Ross, C.A., Numerical simulation of high strain rate concrete compression tests, Computers & Structures, 51(1), 1994, 65–77.##[24] Tedesco, J.W., Powell, J.C., Ross, C.A. and Hughes, M.L., A strainratedependent concrete material model for ADINA, Computers & Structures, 64(56), 1997, 1053–1067.##[25] Beshara, F. and Virdi, K., Prediction of dynamic response of blastloaded reinforced concrete structures, Computers & Structures, 44(12), 1992, 297–313.##[26] Cela, J.J.L., Analysis of reinforced concrete structures subjected to dynamic loads with a viscoplastic Drucker–Prager model, Applied Mathematical Modelling, 22(7), 1998, 495–515.##[27] Shirai, K., Ito, C. and Onuma, H., Numerical studies of impact on reinforced concrete beam of hard missile, Nuclear Engineering and Design, 150, 1994, 483–489.##[28] Park, S.W., Xia, Q. and Zhou, M., Dynamic behavior of concrete at high strain rates and pressures: II. Numerical simulation, International Journal of Impact Engineering, 25, 2001, 887–910.##[29] Buck, J. J., McDowell, D.L. and Zhou, M., Effect of microstructure on loadcarrying and energydissipation capacities of UHPC, Cement and Concrete Research, 43, 2013, 3450.##[30] Häfner, S., Eckardt, S., Luther, T. and Könke, C., Mesoscale modeling of concrete: Geometry and numerics, Computers & Structures, 84(7), 2006, 450–461.##[31] Dupray, F., Malecot, Y., Daudeville and L., Buzaud, E., A mesoscopic model for the behaviour of concrete under high confinement, International Journal for Numerical and Analytical Methods in Geomechanics, 33(11), 2009, 1407–1423.##[32] CombyPeyrot, I., Bernard, F., Bouchard, P., Bay, F. and GarciaDiaz, E., Development and validation of a 3D computational tool to describe concrete behaviour at mesoscale. Application to the alkalisilica reaction, Computational Materials Science, 46, 2009, 1163–1177.##[33] Aydin, A.C., Arslan, A. and Gül, R., Mesoscale simulation of cement based materials’ timedependent behavior, Computational Materials Science, 41, 2007, 20–26.##[34] Setiawan, Y., Gan, B.S. and Han, A.L., Modeling of the ITZ zone in concrete: Experiment and numerical simulation, Computers and Concrete, 19(6), 2017, 647655.##[35] Xu, W., Wu, F., Jiao, Y., Liu, M., A general micromechanical framework of effective moduli for the design of nonspherical nano and microparticle reinforced composites with interface properties, Materials & Design, 127, 2017, 162–172.##[36] Xu, W., Jia, M., Zhu, Z., Liu, M., Lei, D., Gou, X., nPhase micromechanical framework for the conductivity and elastic modulus of particulate composites: Design to microencapsulated phase change materials (MPCMs)cementitious composites, Materials & Design, 145, 2018, 108–115.##[37] Xu, W., Wu, Y., Gou, X., Effective elastic moduli of nonspherical particlereinforced composites with inhomogeneous interphase considering graded evolutions of elastic modulus and porosity, Computer Methods in Applied Mechanics and Engineering, 350, 2019, 535–553.##[38] Xu, W., Zhang, D., Lan, P., Jiao, Y., Multipleinclusion model for the transport properties of porous composites considering coupled effects of pores and interphase around spheroidal particles, International Journal of Mechanical Sciences, 150, 2019, 610–616.##[39] Xu, W., Xu, B., Guo, F., Elastic properties of particlereinforced composites containing nonspherical particles of high packing density and interphase: DEM–FEM simulation and micromechanical theory, Computer Methods in Applied Mechanics and Engineering, 326, 2017, 122–143.##[40] Xu, W., Sun, H., Chen, W., Chen, H., Transport properties of concretelike granular materials interacted by their microstructures and particle components, International Journal of Modern Physics B, 32(18), 2018, 1840011.##[41] Perzyna, P., Fundamental problems in viscoplasticity, Advances in Applied Mechanics, 9, 1966, 243–377.##[42] Oliver, W.C and Pharr, G.M., An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments, Journal of Material Research, 7(6), 1992, 1564–1583.##[43] Guessasma, S., Sehaki, M., Lourdin, D. and Bourmaud, A., Viscoelasticity properties of biopolymer composite materials determined using finite element calculation and nanoindentation, Computational Materials Science, 44, 2008, 371–377.##[44] Chen, Z., Diebels, S., Peter, N.J. and Schneider, A.S., Identification of finite viscoelasticity and adhesion effects in nanoindentation of a soft polymer by inverse method, Computational Materials Science, 72, 2013, 127–139.##[45] Benkabou, R., Abbès, B., Abbès, F., Asroun, A. and Li, Y. (), Contribution of 3D numerical simulation of instrumented indentation testing in the identification of elasticviscoplastic behaviour law of a highperformance concrete, Matériaux & Techniques, 105, 2017, 102.##[46] Abaqus Version 6.13, Dassault Systèmes Simulia Corp., Providence, RI, USA, 2013.##[47] Wang, X.F., Wang, X.W., Zhou, G.M. and Zhou, C.Z., Multiscale analysis of 3D woven composite based on periodicity boundary conditions, Journal of Composite Materials, 41(14), 2007, 17731788.##[48] Melro, A.R., Camanho, P.P., Andrade Pires, F.M. and Pinho, S.T., Micromechanical analysis of polymer composites reinforced by unidirectional fibres: Part II – Micromechanical analyses, International Journal of Solids and Structures, 50(1112), 2013, 1906–1915.##[49] Bocciarelli, M., Bolzon, G. and Maier, G., Parameter identification in anisotropic elastoplasticity by indentation and imprint mapping, Mechanics of Materials, 37, 2005, 855–868.##[50] Nakamura, T. and Gu, Y., Identification of elasticplastic anisotropic parameters using instrumented indentation and inverse analysis, Mechanics of Materials, 39, 2007, 340–356.##[51] Deb, K., Pratap, A., Agarwal, S. and Meyarivan, T., A fast and elitist multiobjective genetic algorithm: NSGAII, IEEE Transactions on Evolutionary Computation, 6(2), 2002, 182–197.##[52] Trofimov, A., Abaimov, S. G., Akhatov, I., Sevostianov, I., On the bounds of applicability of twostep homogenization technique for porous materials, International Journal of Engineering Science, 123, 2018, 117–126.##[53] Trofimov, A., Markov, A., Abaimov, S. G., Akhatov, I., Sevostianov, I., Overall elastic properties of a material containing inhomogeneities of concave shape, International Journal of Engineering Science, 132, 2018, 30–44.##[54] Xu, W., Jia, M., Gong, Z., Thermal conductivity and tortuosity of porous composites considering percolation of porous network: From spherical to polyhedral pores, Composites Science and Technology, 167, 2018, 134–140.##[55] Xu, W., Jiao, Y., Theoretical framework for percolation threshold, tortuosity and transport properties of porous materials containing 3D nonspherical pores, International Journal of Engineering Science, 134, 2019, 31–46.##]
1

Using the Finite Element Analysis Method to Study the 3point Bending Test for the Characterization of the Adherence
https://jacm.scu.ac.ir/article_14755.html
10.22055/jacm.2019.30337.1718
1
An elastic finite element analysis was conducted to evaluate the stress distribution in the initiation zone of the adhesive rupture during the 3point bending test. This test is used to measure the adherence between a polyepoxy adhesive and aluminum alloy with different surface treatments. The purpose is to compare, in the high stress concentration areas, the stress fields calculated using finite element method with the experimental data obtained in different configurations. Focusing on the load level at crack initiation, on the localization and the size of adhesive failure initiation, a local criterion for adhesive fracture is proposed based on the value of the stress normal to the interface.
0

505
516


JeanBaptiste
Sauvage
CIRIMAT, Université de Toulouse, CNRS, INPENSIACET, 4 allée Émile Monso 31 030, Toulouse, France
Iran
jbaptistesauvage@gmail.com


Pierre
Chalandon
CETIM, 7 rue de la Presse, 42 952 SaintÉtienne, France
Iran
pierre.chalandon@cetim.fr


Dominique
Poquillon
CIRIMAT, Université de Toulouse, CNRS, INPENSIACET, 4 allée Émile Monso 31 030, Toulouse, France
Iran
dominique.poquillon@ensiacet.fr


Michel
Nardin
IS2M, Université de Haute Alsace, 15 rue Jean Starcky 68 057, Mulhouse, France
Iran
michel.nardin@uha.fr


Maëlenn
AUFRAY
CIRIMAT, Université de Toulouse, CNRS, INPENSIACET, 4 allée Émile Monso 31 030, Toulouse, France
Iran
maelenn.aufray@ensiacet.fr
3point bending
Adhesive failure
Initiation test
FEM
Stress and strain distribution
[[1] da Silva, L.F.M., Öchsner, A., Adams, R.D. (Eds), Handbook of Adhesion Technology, Springer Berlin Heidelberg, 2011.##[2] He, X., A review of finite element analysis of adhesively bonded joints. Int. J. Adhes. Adhes. 31(4), 2011, 248264.##[3] da Silva, L.F.M., Campilho RDSG. (Eds) Advances in Numerical Modeling of Adhesive Joints, New York, Springer, 2012.##[4] Cognard, J.Y., Créac’hcadec, R., Sohier, L., Davies, P., Analysis of the nonlinear behavior of adhesives in bonded assembliesComparison of TAST and Arcan tests. Int. J. Adhes. Adhes. 28(8), 2008, 393404.##[5] Garcia, J.A., Chiminelli, A., Garcia, B., Lizaranzu, M., Jiminez, M.A., Characterization and material model definition of toughened adhesives for finite element analysis. Int. J. Adhes. Adhes. 31(4), 2011, 182192.##[6] Leffle, K., Alfredsson, K.S., Stigh, U., Shear behavior of adhesive layers. Int. J. Solids Struct. 44(2), 2007, 530545.##[7] Fessel, G., Broughton, J.G., Fellows, N.A., Durodola, J.F., Hutchinson, A.R., Evaluation of different lapshear joint geometries for automotive applications. Int. J. Adhes. Adhes. 27(7), 2007, 574583.##[8] Mackerle, J., Finite element analysis and simulation of adhesive bonding, soldering and brazing an addendum: a bibliography (1996 2002). Model. Simul. Mater. Sci. Eng. 10(6), 2002, 637671.##[9] Tvergaard, V., Hutchinson, J.W., The relation between crack growth resistance and fracture process parameters in elasticplastic solids. J. Mech. Phys. Solids. 40(6), 1992, 13771397.##[10] Needleman, A., An analysis of tensile decohesion along an interface. J. Mech. Phys. Solids. 38(3), 1990, 289324.##[11] Mohammed, I.K., Charalambides, M.N., Kinloch AJ. Modeling the interfacial peeling of pressuresensitive adhesives. J. Nonnewton. Fluid Mech. 222, 2014, 141150.##[12] Jousset, P., Rachik, M., Implementation, identification and validation of an elastoplasticdamage model for the finite element simulation of structural bonded joints. Int. J. Adhes. Adhes. 50, 2014, 107118.##[13] Neumayer, J., Koerber, H., Hinterhölzl, R., An explicit cohesive element combining cohesive failure of the adhesive and delamination failure in composite bonded joints. Compos. Struct. 146, 2016, 7583.##[14] Campilho, R.D.S.G., de Moura, M.F.S.F., Domingues, J.J.M.S., Using a cohesive damage model to predict the tensile behavior of CFRP singlestrap repairs. Int. J. Solids Struct. 45(5), 2008, 14971512.##[15] de Moura MFSF. Numerical simulation of the ENF test for the modeII fracture characterization of bonded joints. J. Adhes. Sci. Technol. 20(1), 2006, 3752.##[16] Bedon, C., Machalická, K., Eliášová, M., Vokáč, M., Numerical Modelling of Adhesive Connections Including Cohesive Damage. Challenging Glass Conference Proceedings, 6, 2018, 309320.##[17] Roche, A.A., Dole, P., Bouzziri, M., Measurement of the pratical adhesion of paint coatings to metallic sheets by the pulloff and threepoint flexure tests. J. Adhes. Sci. Technol. 8(6), 1994, 587609.##[18] Roche, A.A., Behme, A.K., Solomon, J.S., A threepoint flexure test configuration for improved sensitivity to metal/ adhesive interfacial phenomena. Int. J. Adhes. Adhes. 2(4), 1982, 249254.##[19] Bouchet, J., Roche, A.A., Jacquelin, E., The role of the polymer / metal interphase and its residual stresses in the critical strain energy release rate ( Gc ) determined using a threepoint flexure test. J. Adhes. Sci. Technol. 15(3), 2001, 345369.##[20] Golaz, B., Michaud, V., Lavanchy, S., Månson, J.A.E., Design and durability of titanium adhesive joints for marine applications. Int. J. Adhes. Adhes. 45, 2013, 150157.##[21] Sauvage, J.B., Aufray, M., Jeandrau, J.P., Chalandon, P., Poquillon, D., Nardin, M., Using the 3point bending method to study failure initiation in epoxidealuminum joints. Int. J. Adhes. Adhes. 75, 2017, 181189.##[22] Bentadjine, S., Petiaud, R., Roche, A.A., Massardier, V., Organometallic complex characterization formed when liquid epoxydiamine mixtures are applied onto metallic substrates. Polymer. 42(14), 2001, 62716282.##[23] Aufray, M., Roche, A.A., Residual stresses and practical adhesion: effect of organometallic complex formation and crystallization. J. Adhes. Sci. Technol. 20(16), 2006, 18891903##[24] ISO. 14679  Adhesives  Measurement of adhesion characteristics by a threepoint bending method. 1997.##[25] CEA – Saclay, Cast3m finite element code, Gif sur Yvette, France, 2003, http://wwwcast3m.cea.fr.##[26] Bresson, G., Jumel, J., Shanahan, M., Serin, P., Strength of adhesively bonded joints under mixed axial and shear loading. Int. J. Adhes. Adhes. 35, 2012, 2735.##]
1

Modelling of Love Waves in Fluid Saturated Porous Viscoelastic Medium resting over an Exponentially Graded Inhomogeneous Halfspace Influenced by Gravity
https://jacm.scu.ac.ir/article_14702.html
10.22055/jacm.2019.29246.1575
1
The present article is devoted to a theoretical study on Love wave vibration in a prestressed fluidsaturated anisotropic porous viscoelastic medium embedded over an inhomogeneous isotropic halfspace influenced by gravity. The expression of dispersion has been achieved with the help of mathematical tools such as variable separable method and Whittaker’s function’s expansion under certain boundary conditions. After that, the obtained result has been coincided with the preestablished classical equation of Love wave, as shown in the section of particular case and validation. The substantial influence of various affecting factors like gravity, initial stress, porosity, viscosity and inhomogeneity on dispersion curves of Love wave has been investigated extensively by means of graphical depictions and discussions accomplished by numerical results.
0

517
530


Raju
Kumhar
Department of Mathematics and Computing, IIT (ISM) Dhanbad, India
Iran
raju.ism92@gmail.com


Santimoy
Kundu
Department of Mathematics and Computing, IIT (ISM) Dhanbad, India
Iran
santimoykundu@iitism.ac.in


Shishir
Gupta
Department of Mathematics and Computing, IIT (ISM) Dhanbad, India
Iran
shishir_ism@yahoo.com
Love waves
porous
Viscoelastic
Gravity
Whittaker’s function
[[1] Ke, L.L., Wang, Y.S., Zhang, Z.M., Propagation of Love waves in an inhomogeneous fluid saturated porous layered halfspace with properties varying exponentially, Journal of Engineering Mechanics, 131(12), 2005, 13221328.##[2] Ke, L.L., Wang, Y.S., Zhang, Z.M., Love waves in an inhomogeneous fluid saturated porous layered halfspace with linearly varying properties, Soil Dynamics and Earthquake Engineering, 26(67), 2006, 574581.##[3] Dey, S., Mukherjee, S.P., Love waves in granular medium over a half‐space under gravity, The Journal of the Acoustical Society of America, 72(5), 1982, 16261630.##[4] Achenbach, J.D., Wave propagation in elastic solids, North Holland Publishing Company, Amsterdam, 1973.##[5] Love, A.E.H., Mathematical theory of elasticity, Cambridge University Press, Cambridge, 1920.##[6] Ewing, W.M., Jardetzky, W.S., Press, F., Elastic wave in layered media, McGrawHill, New York, 1957.##[7] Pujol, J., Elastic wave propagation and generation in seismology, Cambridge University Press, Cambridge, 2003.##[8] Chattopadhyay, A., Wave reflection in triclinic crystalline medium, Archive of Applied Mechanics, 76(12), 2006, 6574.##[9] Biot, M.A., Generalized theory of acoustic propagation in porous dissipative media, The Journal of the Acoustical Society of America, 34(9A), 1962a, 12541264.##[10] Biot, M.A., Mechanics of deformation and acoustic propagation in porous media, Journal of Applied Physics, 33(4), 1962b, 14821498.##[11] Biot, M.A., Theory of elasticity and consolidation for a porous anisotropic solid, Journal of Applied Physics, 26(2), 1955, 182185.##[12] Kończak, Z., The propagation of Love waves in a fluidsaturated porous anisotropic layer, Acta Mechanica, 79(34), 1989, 155168.##[13] Wang, Y.S., Zhang, Z.M., Propagation of Love waves in a transversely isotropic fluidsaturated porous layered halfspace, The Journal of the Acoustical Society of America, 103(2), 1998, 695701.##[14] Son, M.S., Kang, Y.J., Shear wave propagation in a layered poroelastic structure, Wave Motion, 49(4), 2012, 490500.##[15] Dey, S., Sarkar, M.G., Torsional surface waves in an initially stressed anisotropic porous medium, Journal of Engineering Mechanics, 128(2), 2002, 184189.##[16] Saha, A., Kundu, S., Gupta, S., Vaishnav, P.K., Effect of irregularity on torsional surface waves in an initially stressed anisotropic porous layer sandwiched between homogeneous and nonhomogeneous halfspace, Journal of Earth System Science, 125(4), 2016, 885895.##[17] Pandit, D.K., Kundu, S., Gupta, S., Propagation of Love waves in a prestressed Voigttype viscoelastic orthotropic functionally graded layer over a porous halfspace, Acta Mechanica, 228(3), 2017, 871880.##[18] Carcione, J.M., Wave propagation in anisotropic linear viscoelastic media: theory and simulated wavefields, Geophysical Journal International, 101(3), 1990, 739750.##[19] Borcherdt, R.D., Rayleigh‐type surface wave on a linear viscoelastic half‐space, The Journal of the Acoustical Society of America, 54(6), 1973, 16511653.##[20] Kakar, R., Kakar, S., Love wave in a Voigttype viscoelastic heterogeneous layer overlying heterogeneous viscoelastic halfspace, International Journal of Geomechanics, 17(1), 2016, 06016009.##[21] Chattopadhyay, A., Gupta, S., Kumari, P., Sharma, V.K., Effect of point source and heterogeneity on the propagation of SHwaves in a viscoelastic layer over a viscoelastic half space, Acta Geophysica, 60(1), 2012, 119139.##[22] Wilson, J.T., Surface waves in a heterogeneous medium, Bulletin of the Seismological Society of America, 32(4), 1942, 297304.##[23] Sato, Y., Love waves propagated upon heterogeneous medium, Bull. Earthq. Res. Inst. Univ. Tokyo, 30, 1952, 112.##[24] Tomar, S.K., Kaur, J., Reflection and transmission of SHwaves at a corrugated interface between two laterally and vertically heterogeneous anisotropic elastic solid halfspaces, Earth, Planets and Space, 55(9), 2003, 531547.##[25] Vardoulakis, I., Torsional surface waves in inhomogeneous elastic media, International Journal for Numerical and Analytical Methods in Geomechanics, 8(3), 1984, 287296.##[26] Chattopadhyay, A., Gupta, S., Kumari, P., Sharma, V.K., Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous halfspace, Meccanica, 46(4), 2011, 671680.##[27] Biot, M.A., Mechanics of Incremental Deformations, John Wiley and Sons Inc, New York, 1965.##[28] Maity, M., Kundu, S., Pandit, D.K., Gupta, S., Characteristics of Torsional Wave Profiles in a Viscous FiberReinforced Layer Resting over a Sandy HalfSpace under Gravity, International Journal of Geomechanics, 18(7), 2018, 06018015.##[29] Sethi, M., Gupta, K.C., Gupta, D., Surface waves in fibrereinforced anisotropic solid elastic media under the influence of gravity, International Journal of Applied Mechanics and Engineering, 18(1), 2013, 177188.##[30] Dey, S., Mukherjee, S.P., Rayleigh waves in an initially stressed layer over a halfspace under gravity, Acta Geophysica Polonica, 32(1), 1984, 8190.##[31] Pal, J., Ghorai, A.P., Propagation of Love wave in sandy layer under initial stress above anisotropic porous halfspace under gravity, Transport in Porous Media, 109(2), 2015, 297316.##[32] Khan, A., AboDahab, S.M., AbdAlla, A.M., Gravitational effect on surface waves in a homogeneous fibrereinforced anisotropic general viscoelastic media of higher and fractional order with voids, International Journal of Physical Sciences, 10(24), 2015, 604613.##[33] Whittaker, E.T., Watson. G.N., A course of modern analysis, Cambridge University Press, Cambridge, 1991.##[34] Qian, Z.H., Jin, F., Lu, T., Kishimoto, K., Hirose, S., Effect of initial stress on Love waves in a piezoelectric structure carrying a functionally graded material layer, Ultrasonics, 50(1), 2010, 8490.##[35] Kumari, P., Sharma, V.K., Modi, C., Modeling of magnetoelastic shear waves due to point source in a viscoelastic crustal layer over an inhomogeneous viscoelastic half space, Waves in Random and Complex Media, 26(2), 2016, 101120.##[36] Kakar, R., Kakar, S., LoveType Surface Wave in an Isotropic Layer Bounded between Orthotropic and Heterogeneous HalfSpaces under Initial Stresses, International Journal of Geomechanics, 17(3), 2016, 04016083.##[37] Gubbins, D., Seismology and plate tectonics, Cambridge University Press, Cambridge, 1990.##]
1

Numerical Scrutinization of Three Dimensional CassonCarreau Nano Fluid Flow
https://jacm.scu.ac.ir/article_14411.html
10.22055/jacm.2019.29377.1593
1
This study presents the computational analysis of three dimensional Casson and Carreau nanofluid flow concerning the convective conditions. To do so, the flow equations are modified to nonlinear system of ODEs after using appropriate selfsimilarity functions. The solution for the modified system is evaluated by numerical techniques. The results show the impacts of involving variables on flow characteristics and the outcomes of the friction factors are evaluated as well. In this study, the outcomes to local Nusselt number and Sherwood numbers are evaluated. Favourable comparison is performed with previously available outcomes. The achieved results are similar to solutions obtained by other researchers. The results are presented for flow characteristics in the case of Casson and Carreau fluids. Velocities are reduced for the growing values of permeability and velocity slip parameters in case of Casson and Carreau nanofluids. Temperature field enhances with the hike in the estimations of thermophoresis parameter and the thermal Biot number in case of Casson and Carreau nanofluids. Enhancing values of velocity slip parameter results in decrease in the skin friction coefficients and the rate of heat transfer, and rise in the rate of mass transfer in case of Casson and Carreau nanofluids.
0

531
542


P.
Naga Santoshi
Research Scholar in Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, A.P, India
Iran
pnagasantoshi@gmail.com


G.V.
Ramana Reddy
Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, A.P, India
Iran
gvrr1976@gmail.com


P.
Padma
Department of Mathematics, Govt. Degree College, Yellandu, Bhadradri Kothagudem, Telangana, India
Iran
padmapolarapu@gmail.com
Steady flow
Three dimensional flow
Casson Fluid
Carreau Fluid
Nano fluid
stretching Sheet
Convective condition
[[1] Sakiadis, B.C., Boundary layer behaviour on continuous solid surfaces, AICHE Journal, 7(1), 1961, 26–28.##[2] Chamka, A.J., Aly, A.M., MHD free convection flow of a nanofluid past a vertical plate in the presence of heat generation or absorption effects, Chemical Engineering Communications, 198(3), 2010, 425–441.##[3] Hayat, T., Khan, M., Khan, M.I., Alsaedi, A., Ayub, M., Electromagnetic squeezing rotational flow of Carbon (C) Water (H2O) Kerosene oil nanofluid past a Riga plate: A numerical study, PLOS ONE, 12(8), 2017, 180976.##[4] Hsiao, K.L., To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using CarreauNanofluid with parameters control method, Energy, 130, 2017, 486499.##[5] Nadeem, S., Haq, R.U.I., Akbar, N.S., Khan, Z.H., MHD three dimensional Casson fluid flow past a porous linearly stretching sheet, Alexandria Engineering Journal, 52, 2013, 577–582.##[6] Shehzad, S.A. , Hayat, T., Alsaedi, A., Threedimensional MHD flow of Casson fluid in porous medium with heat generation, Journal of Applied Fluid Mechanics, 9, 2016, 215–223.##[7] Raju, C.S.K., Sandeep, N., Jayachandrababu, M., Sugunamma, V., Dual solutions for threedimensional MHD flow of a nanofluid over a nonlinearly permeable stretching sheet, Alexandria Engineering Journal, 55(1), 2016, 151–162.##[8] Akbar, N.S., Nadeem, S., Khan, Z.H., Numerical simulation of peristaltic flow of a Carreau nanofluid in an asymmetric channel, Alexandria Engineering Journal, 53, 2014, 191–197.##[9] Akbar, N.S., Nadeem, S., Haq, R.U.I., Ye, S., MHD stagnation point flow of Carreau fluid toward a permeable shrinking sheet: dual solutions, Ain Shams Engineering Journal, 5, 2014, 1233–1239.##[10] Hayat, T., Bilal Ashraf, M., Shehzad, S.A., Alsaedi, A., Mixed convection flow of Casson nanofluid over a stretching sheet with convectively heated chemical reaction and heat source/sink, Journal of Applied Fluid Mechanics, 8, 2015, 803–813.##[11] Nagasantoshi, P., Ramana Reddy, G.V., Gnaneswara Reddy, M., Padma, P., Influence of NonUniform heat source on Casson and Carreau fluid flows over a stretching sheet with slip and convective conditions, International Journal of Pure and Applied Mathematics, 117(13), 2017, 363371.##[12] Hsiao, K.L., Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet, Applied Thermal Engineering, 98, 2016, 850861.##[13] Olanrewaju, P.O., Olanrewaju, M.A., Adesanya, A.O., Boundary layer flow of nanofluids over a moving surface in a flowing fluid in the presence of radiation, International Journal of Applied Science and Technology, 2(1), 2012, 274285.##[14] Hsiao, K.L., Combined Electrical MHD Heat Transfer Thermal Extrusion System Using Maxwell Fluid with Radiative and Viscous Dissipation Effects, Applied Thermal Engineering, 112, 2016, 12811288.##[15] Hsiao, K.L., Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature, International Journal of Heat and Mass Transfer, 112, 2017, 983990.##[16] Sandeep, N., Sugunamma, V., Mohan Krishna, P., Effects of radiation on an unsteady natural convection flow of an E G Nimonic 80a nanofluid past an infinite vertical plate, Journal of Theoretical and Applied Physics, 23, 2013, 36–43.##[17] Raju, C.S.K., Jayachandrababu, M., Sandeep, N., Chemically reacting radiative MHD Jefferey nanofluid flow over a cone in porous medium, International Journal of Engineering Research in Africa, 19, 2016, 75–90.##[18] Saleem, N., Hayat, T., Alsaedi, A., Effectsof induced magnetic field and slip condition on peristaltic transport with heat and mass transfer in a nonuniform channel, International Journal of Physical Sciences, 7(2), 2012, 191204.##[19] Sandeep, N., Sulochana, C., Dual solutions for unsteady mixed convection flow of MHD micropolar fluid over a stretching/ shrinking sheet with nonuniform heat source/sink, Engineering Science and Technology, an International Journal, 18, 2015, 738–745.##[20] Raju, C.S.K., Sandeep, N., Sulochana, C., Sugunamma, V., Effects of aligned magnetic field and radiation on the flow of ferro fluids over a flat plate with nonuniform heat source/sink, International Journal of Science and Engineering, 8(2), 2015, 151–158.##[21] As, A., Zhou, Z., Hassan, M., Bhatti, M.M., Computational study of magnetized blood flow in the presence of Gyrotactic microorganisms propelled through a permeable capillary in a stretching motion, International Journal for Multiscale Computational Engineering, 16, 2018, 303320.##[22] Bhatti, M.M., Lu, D.Q., Headon collision between two hydro elastic solitary waves in shallow water, Qualitative Theory of Dynamical Systems, 17, 2018, 103122##[23] Bhatti, M.M., Lu, D.Q., Analytical Study of the HeadOn Collision Process between Hydroelastic Solitary Waves in the Presence of a Uniform Current, Symmetry, 11, 2019, 333.##[24] Bhatti, M.M., Rashidi, M.M., Effects of thermodiffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet, Journal of Molecular Liquids, 221, 2016, 567573##[25] Nagasantoshi, P., Ramana Reddy, G.V., Gnaneswara Reddy, M., Padma, P., Heat and mass transfer of NonNewtonian Nanofluid flow over a stretching sheet with nonuniform heat source and Variable viscosity, Journal of Nanofluids, 7, 2018, 821832.##[26] Hayat, T., Khan, M.I., Farooq, M., Alsaedi, A., Waqas, M., Yasmeen, T., Impact of Cattaneo–Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface, International Journal of Heat and Mass Transfer, 99, 2016, 702–710.##[27] Hayat, T., Khan, M.I., Farooq, M., Yasmeen, T., Alsaedi, A., Stagnation point flow with CattaneoChristov heat flux and homogeneousheterogeneous reactions, Journal of Molecular Liquids, 220, 2016, 4955.##[28] Khan, M.I., Waqas, M., Hayat, T., Alsaedi, A., A comparative study of casson fluid with homogeneousheterogeneous reactions, Journal of Colloid and Interface Science, 298(15), 2017, 85.##[29] Khan, M.I., Waqas, M., Hayat, T., Imran Khan, M., Alsaedi, A., Numerical simulation of nonlinear thermal radiation and homogeneousheterogeneous reactions in convective flow by a variable thicked surface, Journal of Molecular Liquids, 246, 2017, 259267.##[30] Annimasun, I.L., Raju, C.S.K., Sandeep, N., Unequal diffusivities case of homogeneous–heterogeneous reactions within viscoelastic fluid flow in the presence of induced magneticfield and nonlinear thermal radiation, Alexgrandia Engineering Journal, 55(2), 2016, 1595–1606.##[31] Khan, M.I., Hayat, T., Imran Khan, M., Alsaedi, A., Activation energy impact in nonlinear radiative stagnation point flow of Cross nanofluid, International Communications in Heat and Mass Transfer, 91, 2018, 216224.##[32] Bhatti, M.M., Abbas, T., Rashidi, M.M., Sayed Ali, M.E.I., Yang, Z., Entropy generation on MHD Eyring–Powell nanofluid through a permeable stretching surface, Entropy, 18, 2016, 224.##[33] Hayat, T., Khan, M.I., Quayyam, S., Alsaedi, A., Entropy generation in flow with silver and copper nanoparticles, Colloids and surfaces A, Physicochemecal and Engineering Aspects, 539, 2018, 335346.##[34] Hayat, T., Quayyam, S., Khan, M.I., Alsaedi, A.,Entropy generation in magnetohydrodynamic radiative flow due to rotating disk in presence of viscous dissipation and Joule heating, Physics of Fluids, 30, 2018, 017101.##[35] Waleed, M., Khan, A., Khan, M.I., Hayat, T., Entropy generation minimization (EGM) of nanofluid flow by a thin moving needle with nonlinear thermal radiation, Physica B: Condensed Matters, 534, 2018, 113119.##[36] Hayat, T., Khan, M.I., Quayyam, S., Alsaedi, A., Imran Khan, M., New thermodynamics of entropy generate on minimization with nonlinear thermal radiation and nano materials, Physics Letters A, 532(11), 2018, 749760.##[37] Khan, M.I., Ullah, S., Hayat, T., Imran Khan, M., Alsaedi, A., Entropy generation minimization (EGM) for convection nanomaterial flow with nonlinear radiative heat flux, Journal of Molecular Liquids, 260, 2018, 279291.##[38] Khan, M.I., Qayyum, S., Hayat, T., Imran Khan, M., Alsaedi, A., Ahmad Khan, T., Entropy generation in radiative motion of tangent hyperbolic nanofluid in presence of activation energy and nonlinear mixed convection, Physics Letters A, 382(31), 2018, 20172026.##[39] Khan, N.B., Ibrahim, Z., Khan, M.I., Hayat, T., Javeed, M.F., VIV study of an elastically mounted cylinder having low massdamping ratio using RANS model, International Journal of Heat and Mass Transfer, 121, 2018, 309314.##[40] Hayat, T., Khan, M.I., Quayyam, S., Alsaedi, A., Modern developments about statistical declaration and probable error for skin friction and Nusselt number with copper and silver nanoparticles, Chinese Journal of Physics, 55(6), 2017, 25012513.##[41] Raju, C.S.K., Sandeep, N., Sugunamma, V., Jayachandrababu, M., Ramanareddy, J.V., Heat and mass transfer in magnetohydrodynamic Casson fluid over an exponentially permeable stretching surface, Engineering Science and Technology, an International Journal, 19, 2016, 4552.##[42] Hayat, T., Shezad, S. A., Alsaedi, A., Soret and Dufour effects in magnetohydrodynamic (MHD) flow of Casson fluid, Applied Mathematics and Mechanics, 33, 2012, 13011312.##[43] Ali, M.E., Sandeep, N., CattaneoChristov model for radiative heat transfer of magnetohydrodynamic Cassonferrofluid: a numerical study, Results in Physics, 7, 2017, 21–30.##[44] Hayat, T., Asad, S., Mustafa, M., Alsaedi, A., Boundary layer flow of Carreau fluid over a convectively heated stretching sheet, Applied Mathematics and Computation, 246, 2014, 12–22.##[45] Raju, C.S.K., Sandeep, N., Unsteady threedimensional flow of Casson–Carreau fluids past a stretching surface, Alexandria Engineering Journal, 55, 2016, 1115–1126.##]
1

Sealing Performance of the End Fitting of a Marine Unbonded Flexible Pipe under Pressure Penetration
https://jacm.scu.ac.ir/article_14570.html
10.22055/jacm.2019.29216.1573
1
The sealing performance of end fittings is very important for offshore oil and gas pipelines. To investigate the sealing behavior of a ringshaped wedge seal, global and local numerical models of the ring–pipe interaction have been developed based on the finiteelement method. First, the sealing process of the ring under pressure is simulated. Second, a criterion for the penetration of fluid pressure is applied in these models to assess how the sealing capacity changes along the contact surface. Finally, the contact magnitude of interference and the shape of the sawtooth heaves on the sealing ring are predicted and compared. The results show an interesting concentration of von Mises stress in the sealing ring and also that the peak contact pressure appears in the sealing zone. However, the penetration of fluid pressure has obvious effects on the distributions of von Mises stress and contact pressure. The best sealing performance is when the axial displacement of the sealing ring is 1.4 mm and the contact magnitude of interference is 0.3 mm. Given the sawtooth heave of sealing ring, semicircular heave gives the better sealing capacity compared with trapezoidal heave.
0

543
553


Liping
Tang
School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, 610500, China
Iran
lipingtang@swpu.edu.cn


Wei
He
School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, 610500, China
Iran
hewei@stu.swpu.edu.cn


Xiaohua
Zhu
School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, 610500, China
Iran
zhuxh@swpu.edu.cn


Yunlai
Zhou
Department of Civil and Environmental Engineering, National University of Singapore, Singapore, 117576, Singapore
Iran
yunlai.zhou@alumnos.upm.es
Marine unbonded flexible pipe
Sealing performance
Finiteelement method
Pressure penetration
Contact pressure
[[1] Vandyck, T., Kitous, A., Saveyn, B., Keramidas, K., Los Santos, L.R. and Wojtowicz, K., Economic exposure to oil price shocks and the fragility of oilexporting countries, Energies, 11(4), 2018, 827.##[2] Lia, X.T., Vaza, M.A. and Custodiob, A.B., Analytical prediction for lateral buckling of tensile wires in flexible pipes, Marine Structures, 61, 2018, 268281.##[3] Drumond, G.P., Geovana, P., Pasqualino, I.P., Pinheiro, B.C. and Estefen, S.F., Pipelines, risers and umbilicals failures: a literature review, Ocean Engineering, 148, 2017, 412425.##[4] Gadala, I.M., Wahab, M.A. and Alfantazi, A., Electrochemical corrosion finite element analysis and burst pressure prediction of externally corroded underground gas transmission pipelines, Journal of Pressure Vessel Technology, 140, 2018, 011701.##[5] Pham, S.C., Sridhar, N., Qian, X., Sobey, A.J. and Achintha, M., A review on design, manufacture and mechanics of composite risers, Ocean Engineering, 112, 2016, 8296.##[6] Li, X., Jiang, X.L. and Hopman. H., A review on predicting critical collapse pressure of flexible risers for ultradeep oil and gas production, Applied Ocean Research, 80, 2018, 110.##[7] Saevik, S. and Thorsen, M.J., An analytical treatment of buckling and instability of tensile armors in flexible pipes, Journal of Offshore Mechanics and Arctic Engineering, 139, 2017, 041701.##[8] Dahl, C.S., Andersen, B. and Groenne, M., Developments in managing flexible risers and pipelines, a supplier’s perspective, Offshore Technology Conference, Houston, Texas, USA, 2011.##[9] Ebrahimi, A., Kenny, S. and Hussein, A., Radial buckling of tensile armor wires in subsea flexible pipe—numerical assessment of key factors, Journal of Offshore Mechanics and Arctic Engineering, 138, 2016, 031701.##[10] Hu, G., Wang, G.R., Dai, L.M., Zhang, P., Li, M. and Fu, Y.K., Sealing failure analysis on Vshaped sealing rings of an inserted sealing tool used for multistage fracturing processes, Energies, 11, 2018, 1432.##[11] Zhou, C.L., Zheng, J.Y., Gu, C.H., Zhao, Y.Z. and Liu, P.F., Sealing performance analysis of rubber Oring in highpressure gaseous hydrogen based on finite element method, International Journal of Hydrogen Energy, 42, 2017, 1199612004.##[12] Wu, D., Wang, S.P. and Wang, X.J., A novel stress distribution analytical model of Oring seals under different properties of materials, Journal of Mechanical Science Technology, 31, 2017, 289296.##[13] Wang, L.Q., Wei, Z.L., Yao, S.M., Guan, Y. and Li, S.K., Sealing performance and optimization of a subsea pipeline mechanical connector, Chinese Journal of Mechanical Engineering, 31, 2018, 18.##[14] Fernando, U.S., Nott, P., Graham, G., Roberts, A.E. and Sheldrake, T., Experimental evaluation of the metaltometal seal design for highpressure flexible pipes, Offshore Technology Conference, Houston, Texas, USA, 2012.##[15] Fernando, U.S. and Karabelas, G., Analysis of end fitting barrier seal performance in high pressure unbonded flexible pipes, 33rd ASME International Conference on Ocean, Offshore and Arctic Engineering, San Francisco, Canada, 2014.##[16] Li, X.Y., Du, X.Y., Wan, J. and Xiao, H., Structure analysis of flexible pipe end fitting seal system, Proceedings of the ASME 34th International Conference on Ocean, Offshore and Arctic Engineering, St. John’s, Newfoundland, Canada, 2015.##[17] Zhang, L., Yang, Z.X., Lu, Q.Z., Yan, J., Chen, J.L. and Yue, Q.J., Numerical simulation on the sealing performance of serrated teeth inside the wedgy sealing ring of end ftting of marine fexible pipeline, Oil & Gas Storage and Transportation, 37, 2017, 108115 (in Chinese).##[18] API 17J. Specification for Unbonded Flexible Pipe. 4th ed. Washington: American Petroleum Institute, 2014.##[19] API 17B. Recommended Practice for Flexible Pipe. 5th ed. Washington: American Petroleum Institute, 2014.##[20] Yan, H., Zhao, Y.L., Liu, J.G. and Jiang, H.Y., Analyses toward factors influencing sealing clearance of a metal rubber seal and derivation of a calculation formula, Chinese Journal of Aeronautics, 29, 2016, 292296.##[21] Yu, R.H. and Yuan, P.B., Structure and research focus of marine unbonded flexible pipes, Oil & Gas Storage and Transportation, 35, 2016, 12551260 (in Chinese).##[22] Malta, E.R. and Martins, C.D., Finite element analysis of flexible pipes under axial compression: influence of the sample length, Journal of Offshore Mechanics and Arctic Engineering, 139, 2017, 011701.##[23] CuamatziMelendez, R., CastilloHernandez, O., VazquezHernandez, A.O. and Vaz, M.A., Finite element and theoretical analyses of bisymmetric collapses in flexible risers for deepwaters developments, Ocean Engineering, 140, 2017, 195208.##[24] Hu, G., Wang, G.R., Li, M., He, X. and Wu, W., Study on sealing capacity of packing element in compression packer, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40, 2018, 438.##[25] Zhao, B., Zhao, Y.J., Wu, X.Y. and Xiong, H.C., Sealing performance analysis of P –shape seal with fluid pressure penetration loading method, IOP Conference Series: Materials Science and Engineering, 397, 2018, 012126.##[26] Slee, A.J., Stobbart, J., Gethin, D.T. and Hardy, S.J., Case study on a complex seal design for a high pressure vessel application, ASME Pressure Vessels and Piping Conference, Anaheim, California, USA, 2014.##[27] Gorash, Y., Dempster, W., Nicholls, W.D. and Hamilton, R., Fluid pressure penetration for advanced FEA of metaltometal seals, Proceedings in Applied Mathematics and Mechanics, 15, 2015, 197198.##[28] Liao, J.J., Smith, D.W., Miramini, S., Thibbotuwawa, N., Gardiner, B.S. and Zhang, L.H., The investigation of fluid flow in cartilage contact gap, Journal of the Mechanical Behavior of Biomedical Materials, 95, 2019, 153164.##[29] ABAQUS Theory Guide, Version 2016.##]
1

Effect of Tool Shoulder and Pin Cone Angles in Friction Stir Welding using Noncircular Tool Pin
https://jacm.scu.ac.ir/article_14534.html
10.22055/jacm.2019.29340.1585
1
In friction stir welding frictional heat is generated by the rotating tool, sliding over the stationary plate along the weld centre. Tool being the only source of heat producing member, its geometrical design influences the heat generation rate. In this present work, effects of variation in tool shoulder and tool pin taper angles on thermal history during joining are analysed. Tools with triangular and hexagonal tool pins are used to understand the influence of tool pin shape on process temperature. An analytical heat input model is developed for tools with noncircular tool pins and a comparative study is carried out between the hexagonal and triangular tool pins on temperature distribution using a three dimensional Matlab model. Proposed model is validated through experimental analysis. Apart from this, regression model based comparative study is carried out on the variation in temperature response to the change in tool pin shape, tool shoulder and tool pin taper angle.
0

554
563


J.
Stephen Leon
Department of Mechanical Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai, India
Iran
stephenleonj@gmail.com


V.
Jayakumar
Department of Mechanical Engineering, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai, Tamil Nadu, India
Iran
jkmails2k2@yahoo.com
Tool design
Thermal analysis
Friction stir welding
Noncircular tool pin
[[1] Langari, J., Kolahan, F., Aliakbari, K., Effect of tool speed on axial force, mechanical properties and weld morphology of friction stir welded joints of a7075t651, International Journal of Engineering, 29, 2016, 403–410.##[2] Mehta, K.P., Badheka, V.J., Effects of tilt angle on properties of dissimilar friction stir welding copper to aluminium, Materials and Manufacturing Processes, 31, 2016, 255–263.##[3] Chien, C.H., Lin, W.B., Chen, T., Optimal FSW process parameters for aluminum alloys AA5083, Journal of the Chinese Institute of Engineers, 34, 2011, 99–105.##[4] Colligan, K.J., Pickens, J.R., Friction stir welding of aluminium using a tapered shoulder tool, Proceedings of the Conference: Friction stir Welding and Processing III, 161170, San Francisco, CA, 2005.##[5] Gratecap, F., Girard, M., Marya, S., Racineux, G., Exploring material flow in friction stir welding : tool eccentricity and formation of banded structures, International Journal of Material Forming, 5(2), 2012, 99107.##[6] Zhang, Y.N., Cao, X., Larose, S., Wanjara, P., Review of tools for friction stir welding and processing, Science and Technology of Welding and Joining, 51(3), 2012, 250 – 60.##[7] Mijajlovic, M., Milcic, D., Andjelkovic, B., Vukicevil, M., Bjelic, M., Mathematical Model for Analytical Estimation of Generated Heat During Friction Stir Welding. Part 1, Journal of the Balkan Tribological Association, 17(2), 2011, 179191.##[8] Durdanovic, M.B., Mijajlovic, M.M., Milcic, D.S., Stamenkovic, D.S., Heat Generation During Friction Stir Welding Process, Tribology in industry, 31, 2009, 18.##[9] Kumar, R.R., Kumar, A., Kumar, S., Effect on Tool Design and Heat Input of Some Welding Parameters in Friction Stir Welded Interstitial Free Steels, International Journal of Engineering and Technology Innovation, 8(1), 2018, 64  75.##[10] Periyasamy, Y.K., Perumal, A.V., Periyasamy, B.K., Influence of Tool Shoulder Concave Angle and Pin Profile on Mechanical Properties and Microstructural Behaviour of Friction Stir Welded AA7075T651 and AA6061 Dissimilar Joint, Transactions of the Indian Institute of Metals, 72, 2019, 10871109.##[11] Mugada, K.K., Adepu, K., Role of Tool Shoulder End Features on Friction Stir Weld Characteristics of 6082 Aluminum Alloy, Journal of The Institution of Engineers (India): Series C, 100(2), 2019, 343–350.##[12] Liu, X.C., Sun, Y.F., Nagira, T., Ushioda, K., Fujii, H., Experimental evaluation of strain and strain rate during rapid cooling friction stir welding of pure copper, Journal of Science and Technology of Welding and Joining, 24(4), 2019, 352359.##[13] Hattingh, D.G., Blignaul, C., Niekerk, van T.I., James, M.N., Characterization of the influences of FSW tool geometry on welding forces and weld tensile strength using an instrumented tool, Journal of Materials Processing Technology, 203, 2008, 46–57.##[14] Buffa, G., Hua, J., Shivpuri, R., Fratini, L., Design of the friction stir welding tool using the continuum based FEM model, Materials Science and Engineering A, 419, 2006, 381–388.##[15] Waheed, M.A., Jaiyesimi, L.O., Ismail, S.O., Dairo, O.U., Analytical investigation of the effects of tool pin profile and process parameters on the peak temperature in friction stir welding, Journal of Applied and Computational Mechanics, 3(2), 2017, 114124.##[16] Su, H., Wu, C.S., Bachmann, M., Rethmeier, M., Numerical modeling for the effect of pin profiles on thermal and material flow characteristics in friction stir welding, Materials & Design, 77, 2015, 114125.##[17] Waheed, M.A., Jayesimi, L.O., Ismail, S.O., Dairo, O.U., Modeling of Heat Generations for Different Tool Profiles in Friction Stir Welding: Study of Tool Geometry and Contact Conditions, Journal of Applied and Computational Mechanics, 3(1), 2017, 3759.##[18] Gadakh, V.S., Kumar, A., Friction stir welding window for AA6061T6 aluminium alloy. Proceedings of the Institution of Mechanical Engineers, Part B, Journal of Engineering Manufacture, 228(9), 2014, 1172–1181.##[19] Hamilton, C., Dymek, S., Sommers, A., A thermal model of friction stir welding in aluminium alloys, International Journal of Machine tools and Manufacture, 48(10), 2008, 1120–1130.##[20] Stephen Leon, J., Jayakumar, V., Numerical modelling of thermal field during friction stir welding using noncircular pin, Caribbean Journal of Science, 53(1), 2019, 2128.##[21] Liu, X.C., Sun, Y.F., Morisada, Y., Fujii, H., Dynamics of rotational flow in friction stir welding of aluminium alloys, Journal of Materials Processing Technology, 252, 2018, 643651.##[22] Ramanjaneulu, K., Madhusudhan Reddy, G., Venugopal Rao, A., Markandeya, R., Structureproperty correlation of AA2014 Friction sir welds: Roles of Tool pin profile, Journal of Materials Engineering and Performance, 22(8), 2013, 22242240.##[23] Illangovan, M., Rajendra Boopathy, S., Balasubramanian, V., Effect of tool pin profile on microstructure and tensile properties of friction stir welded dissimilar AA6061AA5086 aluminium joints, Defence Technology, 11, 2015, 174184.##]
1

Impact of Blood Vessel Wall Flexibility on the Temperature and Concentration Dispersion
https://jacm.scu.ac.ir/article_14536.html
10.22055/jacm.2019.29023.1542
1
The analysis of solute and thermal dispersion in pulsatile flow through the stenotic tapered blood vessel is presented. The present problem is an extension of the work done by Ramana et al. who considered the timeinvariant arterial wall. In the present model, the flexible nature of the arterial wall through the obstruction (called stenosis) is considered and it is achieved with the help of period trigonometric function. In the present study, the impact of the timedependent arterial wall on the blood flow dynamics is discussed in details. The rheology of the blood is modeled as a couple stress fluid. The proposed fluid model is the isothermal inclusion of temperaturesensitive drug coated Titanium dioxide Nanoparticles in the couple stress fluid for examining the concentration and temperature dispersion. The effects of the catheter and permeability of the stenosis are considered in the model. Care has been taken to model the thermophysical properties of the fluid with the immersed nanoparticle, e.g., TiO2, Ag and Cu. The modeled nonlinear and coupled equations are solved by using the Homotopy Perturbation Method. The temperature and concentration dispersion effects are in the flexible stenotic arterial vessel under the pulsatile physiological pressure gradient are studied and reported in details. The alterations in the axial velocity, resistance to the flow, and wall shear stress are studied and found out that the high intense vortex regions are identified in the stenotic region. The model has direct applications in the pharmaceutical industry in design and developing the drug to treat stenotic conditions.
0

564
581


J.V.
Ramana Reddy
Department of Mathematics, Indian Institute of Technology Madras, Chennai – 600036, India
Iran
ramana.sjgc@gmail.com


D.
Srikanth
Department of Applied Mathematics, Defence Institute of Advanced Technology (DU), Pune  411025, India
Iran
sri_dasari1977@yahoo.co.in
Flexible arterial wall
Couple stress nano fluid
Homotopy perturbation method
Temperature dispersion
Drug delivery
Impedance
Wall shear stress
[[1] Cardiovascular diseases (CVDs), World Health Organization, January, 2015.##[2] Krishnan, M. N., Coronary heart disease and risk factors in India  On the brink of an epidemic?, Indian Heart Journal, 64(4), 2012, 364367.##[3] Rajeev Gupta, Mohan, I., Narula J., Trends in coronary heart disease epidemiology in India, Annals of Global Health, 82(2),2016, 307315.##[4] Dejam, M., Dispersion in nonNewtonian fluid flows in a conduit with porous walls, Chemical Engineering Science, 189(11), 2018, 296310.##[5] Ramana Reddy, J. V., Srikanth, D., Samir K. Das, Modelling and simulation of temperature and concentration dispersion in a couple stress nanofluid flow through stenotic tapered arteries, The European Physical Journal Plus, 132(8), 2017, 365.##[6] Reddy, J. V. R., Srikanth, D., Murthy, S.K., Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocityeffects of catheter, Applied Mathematics and Mechanics, 35(8), 2014, 947958.##[7] Reddy, J.V., Srikanth, D., The polar fluid model for blood flow through a tapered artery with overlapping stenosis: Effects of catheter and velocity slip, Applied Bionics and Biomechanics, 2015, 2015, 112.##[8] Gerhard, A. H., and Ray, W. O., Constitutive modelling of arteries, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 466, 2010, 15511597.##[9] Ramana Reddy, J. V., Srikanth, D., Modelling and simulation of micropolar fluid flow with variable viscosity through unhealthy artery, World Journal of Modelling and Simulation, 14(3), 2018, 225240.##[10] Jyotirmoy Rana, Murthy P. V. S. N., Unsteady solute dispersion in nonNewtonian fluid flow in a tube with wall absorption, Royal Society of London A: Mathematical, Physical and Engineering Sciences, 472(2193), 2016, 20160294.##[11] Elnaqeeb T., Mekheimer, K. S., Alghamdi, F., Cublood flow model through a catheterized mild stenotic artery with a thrombosis, Mathematical Biosciences, 282, 2016, 135146.##[12] Goldsmith, H. L., Skalak, R., Hemodynamics, Annual Review of Fluid Mechanics, 7(1), 1975, 213–247.##[13] Bugliarello, G., Sevilla, J., Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes, Biorheology, 7(2), 1970, 85107.##[14] Valanis, K. C., Sun, C. T., Poiseuille flow of a fluid with couple stress with applications to blood flow, Biorheology, 6(2), 1969, 8597.##[15] Popel, A.S., Regirer, S.A., Usick, P.I., A continuum model of blood flow, Biorheology, 11(6), 1974, 427437.##[16] Srinivasacharya, D., Srikanth, D., Effect of couple stresses on the pulsatile flow through a constricted annulus, Comptes Rendus Mecanique, 336(11), 2008, 820827.##[17] Srinivasacharya, D., Srikanth, D., Effect of couple stresses on the flow in a constricted annulus, Archive of Applied Mechanics, 78(4), 2008, 251–257##[18] Ramana Reddy, J.V., Srikanth, D., Krishna Murthy, S.V.S.S.N.V.G., Mathematical modelling of pulsatile flow of blood through catheterized unsymmetric stenosed artery  effects of tapering angle and slip velocity, European Journal of Mechanics  B/Fluids, 48(11), 2014, 236–244##[19] Fan, J., Wang, L., Review of heat conduction in nanofluids, Journal of Heat Transfer, 133(4), 2011, 040801##[20] Yu, W., France, D. M., Routbort, J. L., Choi, S. U. S., Review and comparison of nanofluid thermal conductivity and heat transfer enhancements, Heat Transfer Engineering, 29(5), 2008, 432–460.##[21] Wang, P., Li, Z., Wu, X., An, Y., Taylor dispersion in a packed pipe with wall reaction: based on the method of Gill’s series solution, International Journal of Heat and Mass Transfer, 91(12), 2015, 8997.##[22] Woods, B. A., Perturbation methods in fluid mechanics, The Aeronautical Journal, 80(785), 1968, 229229.##[23] Aziz, A., Na. T.Y., Perturbation methods in heat transfer, Hemisphere Publishing Corp., Washington DC, 1984.##[24] Johnson, R. S., Singular perturbation theory: mathematical and analytical techniques with applications to engineering, Springer, New York, 2006.##[25] Liu, G. L., New research directions in singular perturbation theory: artificial parameter approach and inverseperturbation technique. In Conference of 7th modern mathematics and mechanics, Shanghai, 1997, 4753.##[26] Liao, S., Beyond perturbation: Introduction to the homotopy analysis method, Chapman and Hall/CRC, New York, 2003.##[27] He, J. H., Variational iteration method for autonomous ordinary differential systems, Applied Mathematics and Computation, 114(2), 2000, 115123.##[28] He, J. H., Comparison of homotopy perturbation method and homotopy analysis method, Applied Mathematics and Computation, 156(2), 2004, 527539.##[29] Rahbari, A., Fakour, M., Hamzehnezhad, A., Vakilabadi, M.A., Ganji, D. D., Heat transfer and fluid flow of blood with nanoparticles through porous vessels in a magnetic field: A quasionedimensional analytical approach, Mathematical Biosciences, 283, 2017, 3847.##[30] Fåhraeus, R., The suspension stability of the blood, Physiological Reviews, 9(2), 1929, 241274.##[31] Einstein, A., Eine neue Bestimmung der Moleküldimensionen, Annalen der Physik, 324(2), 1906, 289306.##[32] Batchelor, G. K., The effect of Brownian motion on the bulk stress in a suspension of spherical particles, Journal of Fluid Mechanics, 83(1), 1977, 97117.##[33] Hatami, M., Hatami, J., Ganji, D. D., Computer simulation of MHD blood conveying gold nanoparticles as a third grade nonNewtonian nanofluid in a hollow porous vessel, Computer Methods and Programs in Biomedicine, 113(2), 2014, 632641.##[34] Pak, B. C., Cho, Y. I., Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles, Experimental Heat Transfer, 11(2), 1998, 151170.##[35] Brinkman, H. C., The viscosity of concentrated suspensions and solutions, The Journal of Chemical Physics, 20(4), 1952, 571571.##[36] Godson, L., Raja, B., Mohan Lal, D., Wongwises, S., Experimental investigation on the thermal conductivity and viscosity of silverdeionized water nanofluid, Experimental Heat Transfer, 23(4), 2010, 317332.##[37] Hamilton, R. L., Crosser, O. K., Thermal conductivity of heterogeneous twocomponent systems, Industrial & Engineering Chemistry Fundamentals, 1(3), 1962, 187191.##[38] Ramana Reddy, J. V., Srikanth, D., Mandal, P. K., Computational hemodynamic analysis of flow through flexible permeable stenotic tapered artery, International Journal of Applied and Computational Mathematics, 3(1), 2017, 12611287.##[39] Beavers, G. S., Joseph, G. D., Boundary conditions at a naturally permeable wall, Journal of Fluid Mechanics, 30(1), 1967, 197207.##[40] Nadeem, S., Ijaz, S., Nanoparticles analysis on the blood flow through a tapered catheterized elastic artery with overlapping stenosis, The European Physical Journal Plus, 129(11), 2014, 249.##[41] HerediaCervera, B. E., GonzálezAzcorra, S. A., RodríguezGattorno, G., López, T., OrtizIslas, E., Oskam, G., Controlled release of phenytoin from nanostructured reservoirs, Science of Advanced Materials, 1(1), 2009, 6368.##[42] Uddin, M.J., Mondal, D., Morris, C.A., Lopez, T., Diebold, U., Gonzalez, R.D., An in vitro controlled release study of valproic acid encapsulated in a titania ceramic matrix, Applied Surface Science, 257(18), 2011, 79207927.##[43] Lopez, T., Sotelo, J., Navarrete, J., Ascencio, J. A., Synthesis of nanostructured reservoir with temozolomide: Structural evolution of the occluded drug, Optical Materials, 29(1), 2006, 8894.##[44] Li, Q., Wang, X., Lu, X., Tian, H., Jiang, H., Lv, G., Guo, D., Wu, C., Chen, B., The incorporation of daunorubicin in cancer cells through the use of titanium dioxide whiskers, Biomaterials, 30(27), 2009, 47084715.##]
1

Prediction of Entrance Length for Magnetohydrodynamics Channels Flow using Numerical simulation and Artificial Neural Network
https://jacm.scu.ac.ir/article_14420.html
10.22055/jacm.2019.29201.1571
1
This paper focuses on using the numerical finite volume method (FVM) and artificial neural network (ANN) in order to propose a correlation for computing the entrance length of laminar magnetohydrodynamics (MHD) channels flow. In the first step, for different values of the Reynolds (Re) and Hartmann (Ha) numbers (600<ReL increases.
0

582
592


Mohammad Hasan
Taheri
Department of Mechanical Engineering, Faculty of Imam Khomeini, Behshahr Branch, Technical and Vocational University (TVU), Mazandaran, Iran
Iran
hasan.taheri@gmail.com


Nematollah
Askari
Department of Mechanical Engineering, Faculty of Imam Khomeini, Behshahr Branch, Technical and Vocational University (TVU), Mazandaran, Iran
Iran
naskari@tvu.ac.ir


Mohammad Hadi
Mahdavi
Department of Mechanical Engineering, Faculty of Imam Khomeini, Behshahr Branch, Technical and Vocational University (TVU), Mazandaran, Iran
Iran
mahdavimohammadhadi@yahoo.com
Artificial neural network
Channel
Magnetohydrodynamics
MHD entrance length
Numerical simulation
[[1] M. Javanmard, M.H. Taheri, S.M. Ebrahimi, Heat transfer of thirdgrade fluid flow in a pipe under an externally applied magnetic field with convection on wall, Applied Rheology, 28, 2018, 56023.##[2] M. Javanmard, M.H. Taheri, M. Abbasi, S.M. Ebrahimi, Heat transfer analysis of hydromagnetic water–graphene oxide nanofluid flow in the channel with asymmetric forced convection on walls, Chemical Engineering Research and Design, 136, 2018, 816824.##[3] K. Hosseinzadeh, M. Alizadeh, D. Ganji, Hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates by analytical method, International Journal of Mechanical and Materials Engineering, 13, 2018, 4.##[4] K. Hosseinzadeh, F. Afsharpanah, S. Zamani, M. Gholinia, D. Ganji, A numerical investigation on ethylene glycoltitanium dioxide nanofluid convective flow over a stretching sheet in presence of heat generation/absorption, Case Studies in Thermal Engineering, 12, 2018, 228236.##[5] S.S. Ardahaie, A.J. Amiri, A. Amouei, K. Hosseinzadeh, D. Ganji, Investigating the effect of adding nanoparticles to the blood flow in presence of magnetic field in a porous blood arterial, Informatics in Medicine Unlocked, 10, 2018, 7181.##[6] K. Hosseinzadeh, A.J. Amiri, S.S. Ardahaie, D. Ganji, Effect of variable lorentz forces on nanofluid flow in movable parallel plates utilizing analytical method, Case Studies in Thermal Engineering, 10, 2017, 595610.##[7] A.S. Dogonchi, M. Alizadeh, D.D. Ganji, Investigation of MHD Gowater nanofluid flow and heat transfer in a porous channel in the presence of thermal radiation effect, Advanced Powder Technology, 28, 2017, 18151825.##[8] M. RahimiGorji, O. Pourmehran, M. GorjiBandpy, D. Ganji, Unsteady squeezing nanofluid simulation and investigation of its effect on important heat transfer parameters in presence of magnetic field, Journal of the Taiwan Institute of Chemical Engineers, 67, 2016, 467475.##[9] O. Pourmehran, M. RahimiGorji, D. Ganji, Heat transfer and flow analysis of nanofluid flow induced by a stretching sheet in the presence of an external magnetic field, Journal of the Taiwan Institute of Chemical Engineers, 65, 2016, 162171.##[10] P.G. Moakher, M. Abbasi, M. Khaki, Fully developed flow of fourth grade fluid through the channel with slip condition in the presence of a magnetic field, Journal of Applied Fluid Mechanics, 9, 2016, 22392245.##[11] O. Pourmehran, M. RahimiGorji, M. GorjiBandpy, T. Gorji, Simulation of magnetic drug targeting through tracheobronchial airways in the presence of an external nonuniform magnetic field using Lagrangian magnetic particle tracking, Journal of Magnetism and Magnetic Materials, 393, 2015, 380393.##[12] M.H. Taheri, M. Abbasi, M. Khaki Jamei, An integral method for the boundary layer of MHD nonNewtonian powerlaw fluid in the entrance region of channels, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39, 2017, 41774189.##[13] K.A. Helmy, H.F. Idriss, S.A. Kassem, An Integral Method For The Solution of The Boundary Layer Equation For PowerLaw MHD Fluid, Indian Journal of Pure and Applied Mathematics, 32, 2001, 859870.##[14] J.A. Lima, L.M. Pereira, E.N. Macêdo, C.L. Chaves, J.N.N. Quaresma, Hybrid solution for the laminar flow of powerlaw fluids inside rectangular ducts, Computational Mechanics, 26, 2000, 490496.##[15] R.C. Gupta, Laminar twodimensional entrance region flow of powerlaw fluids II, Acta Mechanica, 84, 1990, 209215.##[16] R.E. Schwirian, A New Momentum Integral Method for MHD Channel Entrance Flows, AIAA Journal, 8, 1970, 565567.##[17] A. Maciulatis, A.L.L. JR., A Theoretical Investigation of MHD Channel Entrance Flows, AIAA Journal, 2, 1964, 21002103.##[18] J.A. Lima, M.G.O. Rego, On the integral transform solution of lowmagnetic MHD flow and heat transfer in the entrance region of a channel, International Journal of NonLinear Mechanics, 50, 2013, 2539.##[19] C.L. Hwang, K.C. Li, L.T. Fan, Magnetohydrodynamic Channel Entrance Flow with Parabolic Velocity at the Entry, The Physics of Fluids, 9, 1966, 11341140.##[20] F. Flores, A. Recuero, Magnetohydrodynamic entrance flow in a channel, Applied Scientific Research, 25, 1972, 403412.##[21] P.J. Bhuyan, K.S. Goswami, Effect of Magnetic Field on MHD Pressure Drop Inside a Rectangular Conducting Duct, IEEE Transactions on Plasma Science, 36, 2008, 19551959.##[22] M. Sahu, P. Singh, S.S. Mahapatra, K.K. Khatua, Prediction of entrance length for low Reynolds number flow in pipe using neurofuzzy inference system, Expert Systems with Applications, 39, 2012, 45454557.##[23] Y. Li, O. Zikanov, Laminar pipe flow at the entrance into transverse magnetic field, Fusion Engineering and Design, 88, 2013, 195201.##[24] A. Patel, R. Bhattacharyay, P.K. Swain, P. Satyamurthy, S. Sahu, E. Rajendrakumar, S. Ivanov, A. Shishko, E. Platacis, A. Ziks, Liquid metal MHD studies with nonmagnetic and ferromagnetic structural material, Fusion Engineering and Design, 89, 2014, 13561361.##[25] C.N. Kim, Magnetohydrodynamic flows entering the region of a flow channel insert in a duct, Fusion Engineering and Design, 89, 2014, 5668.##[26] P. Satyamurthy, P.K. Swain, V. Tiwari, I.R. Kirillov, D.M. Obukhov, D.A. Pertsev, Experiments and numerical MHD analysis of LLCB TBM Testsection with NaK at 1 T magnetic field, Fusion Engineering and Design, 91, 2015, 4451.##[27] D. Chatterjee, S.K. Gupta, MHD flow and heat transfer behind a square cylinder in a duct under strong axial magnetic field, International Journal of Heat and Mass Transfer, 88, 2015, 113.##[28] D. Jasikova, M. Kotek, V. Kopecky, An effect of entrance length on development of velocity profile in channel of millimeter dimensions, AIP Conference Proceedings, 1745, 2016, 020018.##[29] Z. Kountouriotis, M. Philippou, G.C. Georgiou, Development lengths in Newtonian Poiseuille flows with wall slip, Applied Mathematics and Computation, 291, 2016, 98114.##[30] K. Jambunathan, S.L. Hartle, S. AshforthFrost, V.N. Fontama, Evaluating convective heat transfer coefficients using neural networks, International Journal of Heat and Mass Transfer, 39, 1996, 23292332.##[31] N. Sözbir, İ. Ekmekçi, Experimental study and artificial neural network modeling of unsteady laminar forced convection in a rectangular duct, Heat and Mass Transfer, 43, 2007, 749758.##[32] G. Díaz, M. Sen, K.T. Yang, R.L. McClain, Simulation of Heat Exchanger Performance by Artificial Neural Networks, HVAC&R Research, 5, 1999, 195208.##[33] M. Carrillo, J.A. Gónzalez, U. Que, Estimation of the Reynolds number in a Poiseuille flow using artificial neural networks, Journal of Physics: Conference Series, 792, 2017, 012071.##[34] P.A. Davidson, An Introduction to Magnetohydrodynamics, Cambridge University Press, Cambridge, 2001.##[35] S. M. Ebrahimi, M. Javanmard, M. H. Taheri, M. Barimani, Heat transfer of fourthgrade fluid flow in the plane duct under an externally applied magnetic field with convection on walls, International Journal of Mechanical Sciences, 128–129, 2017, 564571.##[36] H. Schlichting, BoundaryLayer Theory, 8th rev. and enl. ed., Springer, Berlin, 2000.##[37] I.E. Lyublinski, A.V. Vetkov, V.A. Evtikhin, Application of lithium in systems of fusion reactors. 1. Physical and chemical properties of lithium, Plasma Devices and Operations, 17, 2009, 4272.##[38] Z. Duan, Y.S. Muzychka, Slip Flow in the Hydrodynamic Entrance Region of Circular and Noncircular Microchannels, Journal of Fluids Engineering, 132, 2009, 011201011201011213.##[39] R.E. Nygren, T.D. Rognlien, M.E. Rensink, S.S. Smolentsev, M.Z. Youssef, M.E. Sawan, B.J. Merrill, C. Eberle, P.J. Fogarty, B.E. Nelson, D.K. Sze, R. Majeski, A fusion reactor design with a liquid first wall and divertor, Fusion Engineering and Design, 72, 2004, 181221.##]
1

A Hybrid Particle Swarm Optimization and Genetic Algorithm for Truss Structures with Discrete Variables
https://jacm.scu.ac.ir/article_14429.html
10.22055/jacm.2019.28992.1531
1
A new hybrid algorithm of Particle Swarm Optimization and Genetic Algorithm (PSOGA) is presented to get the optimum design of truss structures with discrete design variables. The objective function chosen in this paper is the total weight of the truss structure, which depends on upper and lower bounds in the form of stress and displacement limits. The Particle Swarm Optimization basically modeled the social behavior of birds on the basis of the fact that Individual birds exchange information about their position, velocity, fitness, and on the basis that the behavior of the flock is then influenced to increase the probability of migration to other regions with high fitness. One of the problems of PSO is that it is easily trapped at the local point due to its nonuniform movement. The present study uses the mutation, random selection, and reproduction to reach the best genetic algorithm with the operators of natural genetics. Therefore, only identical chromosomes or particles can be converged. In other words, PSO and GA algorithm goes from one point in the search space to another point, interacting with each other. In this way, this helps them to find the optimum design by means of deterministic and probabilistic rules. The present study merged the two algorithms together in order to design several benchmark truss structures, and then the results of the new algorithm compared to those of other evolutionary optimization methods.
0

593
604


Fereydoon
Omidinasab
Department of Civil Engineering, Lorestan University, Lorestan, Khorramabad, Iran
Iran
omidinasab.f@lu.ac.ir


Vahid
Goodarzimehr
Department of Civil Engineering, University of Tabriz, Tabriz, Iran
Iran
v.goodarzi1995@ms.tabrizu.ac.ir
Particle Swarm Optimization
Genetic Algorithm
Size optimization
Structural optimization
Discrete variables
[[1] Rajeev, S., Krishnamoorthy, C.S., Discrete optimization of structures suing Genetic Algorithm. Journal of Structural Engineering, 118, 1992, 12331250.##[2] Cao, G., Optimized design of framed structures using a genetic algorithm. PhD thesis, The University of Memphis, TN, 1996.##[3] Kennedy, J., Eberhart, R., Particle swarm optimization. Proceedings of IEEE international conference on neural networks. 1995. p. 1942–48.##[4] Lee, K.S., Geem, Z.W., A new structural optimization method based on the harmony search algorithm. Computers & Structures, 82(9–10), 2004, 781–98. ##[5] Dorigo, M., Optimization, learning and natural algorithms. PhD thesis, Dip. Elettronica e Informazione, Politecnico di Milano, Italy; 1992.##[6] Kaveh, A., Talatahari, S., A novel heuristic optimization method: charged system search. Acta Mechanica, 213, 2010, 267–289.##[7] Erol, O.K., Eksin, I., A new optimization method: big bang–big crunch. Advances in Engineering Software, 37, 2006, 106–11.##[8] Kaveh, A., Talatahari, S., Size optimization of space trusses using big bang–big crunch algorithm. Computers & Structures, 87(17–18), 2009, 1129–40.##[9] Sonmez, M., Artificial bee colony algorithm for optimization of truss structures. Applied Soft Computing, 11(2), 2011, 2406–18.##[10] Li, L.J., Huang, Z.B., Liu, F., Wu, Q.H., A heuristic particle swarm optimizer for optimization of pin connected structures. Computers & Structures, 85(7–8), 2007, 340–9.##[11] Kaveh, A., Talatahari, S., Hybrid Algorithm of Harmony Search, Particle Swarm and Ant Colony for Structural Design Optimization. Computers & Structures, 3, 2009, 64203450.##[12] Hasancebi, O., Erbatur, F., Layout optimization of trusses using improved GA methodologies. Acta Mechanica, 146, 2001, 87–107.##[13] Camp, C.V., Bichon, B.J., Design of space trusses using ant colony optimization. Journal of Structural Engineering, 130(5), 2004, 741–51.##[14] Camp, C.V., Design of space trusses using big bang–big crunch optimization. Journal of Structural Engineering, 133(7), 2007, 999–1008.##[15] Camp, C.V., Farshchin, M., Design of space trusses using modified teaching–learning based optimization. Engineering Structures, 62–63, 2014, 87–97.##[16] Mahfouz, S.Y., Design optimization of structural steelwork. Ph.D. thesis, Department of Civil and Environmental Engineering, University of Bradford, United Kingdom, 1999.##[17] Barbosa, H.J.C., Lemonge A.C.C., Borges, C.C.H., A genetic algorithm encoding for cardinality constraints and automatic variable linking in structural optimization. Engineering Structures, 30(12), 2008, 3708–23.##[18] Wu, S.J., Chow, P.T., Steadystate genetic algorithms for discrete optimization of trusses. Computers & Structures, 56(6), 1995, 97991.##[19] Lee, K.S., Geem, Z.W., Lee, S.H., Bae, K.W., The harmony search heuristic algorithm for discrete structural optimization. Engineering Optimization, 37(7), 2005, 663:84.##[20] Li, L.J., Huang, Z.B., Liu, F., A heuristic particle swarm optimization method for truss structures with discrete variables. Computers and Structures, 87(78), 2009, 435:43.##[21] Kaveh, A., Talatahari, S., A particle swarm ant colony optimization for truss structures with discrete variables. Journal of Constructional Steel Research, 65, 2009, 15581568##[22] Kaveh, A. Talatahari, S., Hybrid Algorithm of Harmony Search, Particle Swarm and Ant Colony for Structural Design Optimization. Studies in Computational Intelligence, 2009, 159198.##[23] Meshki, H., Joghataie, A., Structural optimization by spherical interpolation of objective function and constraints. Scintia Iranica, 23(2), 2016, 548557.##[24] Kaveh, A., Ilchi, M., Computer codes for colloding bodies optimization and its enhanced version. International Journal of Optimization in Civil Engineering, 4(3), 2014, 321339.##[25] Kaveh, A., Ilchi, M., A new metaheuristic algorithm: Vibrating particles system. Scientia Iranica, 24, 2017, 551566.##[26] Gandomi, A.H., Alavi, A.H., Krill herd: A new bioinspired optimization algorithm. Communications in Nonlinear Science and Numerical Simulation, 17, 2012, 4831–4845.##[27] Mirjalili, S., Lewis, A., The whale optimization algorithm. Advance Engineering Software, 95, 2016, 5167.##[28] Cheng, M.Y., Prayogo, D., Wu, Y.W., Marcellinus Lukito, M., A Hybrid Harmony Search algorithm for discrete sizing optimization of truss structure. Automation in Construction, 69, 2016, 2133.##[29] Tuo, S., Yong, L., Deng, F., Li, Y., Lin, Y., Lu, Q., A hybrid algorithm based on Harmony Search and TeachingLearningBased Optimization for complex highdimensional optimization problems. Plos One, 12(4), 2017, 101371.##[30] Ouyang, H.B., Gao, L.Q., Kong, X.Y., Zou, D.X., Li, S., Teachinglearning based optimization with global crossover for global optimization problems. Applied Mathematics and Computation, 265, 2015, 533–556.##[31] Kaveh, A., Rahami, H., Analysis, design and optimization of structures using force method and genetic algorithm. International Journal for Numerical Methods in Engineering, 65, 2016, 15701584.##[32] Sadollah, A., Eskandar, H., Bahreininejad, A., Kim, J.H., Water cycle, mine blast and improved mine blast algorithms for discrete sizing optimization of truss structures. Computers & Structures, 149, 2015, 116.##[33] Mortazavi, A., Toğan, V., Nuhoğlu, A., An integrated particle swarm optimizer for optimization of truss structures with discrete variables. Structural Engineering and Mechanics, 61, 2017, 359370.##]
1

Multivariate Jeffrey Fluid Flow past a Vertical Plate through Porous Medium
https://jacm.scu.ac.ir/article_14579.html
10.22055/jacm.2019.28988.1534
1
An analysis is suggested to study the impact of Hall currents in Jeffrey fluid which is chemically reactive through a porous medium limited by a semiinfinite vertical permeable plate within the existence of heat generation. An evenly distributed magnetic field turns vertically on the porous surface which absorbs the Jeffrey fluid with a changed suction velocity with time. The analytical expressions are solved by means of three terms harmonic and nonharmonic functions. Statistical calculations are carried out for the point of resultant outcomes which are shown graphically and the impacts of the parameters velocity, temperature and concentration are listed. In addition, the results of skinfriction coefficient (τ), Nusselt number (Nu) and Sherwood number (Sh) are taken in to consideration. It is revealed that the impact of the Hall parameter on the channel velocities and skin friction coefficient is subjected to the estimation of the wall suction parameter.
0

605
616


D. Dastagiri
Babu
Research Scholar, JNTUA, Anantapuramu, A.P., 515002, India
Iran
dastagiri478@gmail.com


S.
Venkateswarlu
Department of Mathematics, RGM College of Engineering and Technology, Nandyal, Kurnool, A.P, 518501 India
Iran
venkat.6939@gmail.com


E.
Keshava Reddy
Department of Mathematics, JNTUA College of Engineering Anantapuramu, A.P., 515002, India
Iran
keshava.maths@jntua.ac.in
MHD flows
Jeffrey fluid flow
Porous medium
Unsteady flows
[[1] T. Hayat, G. Bashir, M. Waqas, A. Alsaedi, MHD flow of Jeffrey liquid due to a nonlinear radially stretched sheet in presence of Newtonian heating, Results in Physics (2016) 6, 817–823.##[2] M. Eswara Rao, S. Sreenadh, MHD Boundary Layer Flow of Jeffrey Fluid over a Stretching/Shrinking Sheet through Porous Medium, Global Journal of Pure and Applied Mathematics (2017) 13(8), 39854001.##[3] T. Hayat, R. Sajjad Saif, R. Ellahi, T. Muhammad, A. Alsaedi, Simultaneous effects of melting heat and internal heat generation instagnation point flow of Jeffrey fluid towards a nonlinear stretching surface with variable thickness, International Journal of Thermal Sciences (2018) 132, 344–354.##[4] M.A. Rana, Y. Ali, M. Shoaib, Threedimensional Couette flow of a Jeffrey fluid along periodic injection/suction, Arabian Journal of Mathematical Sciences (2018) 7, 229–247.##[5] M.A. Imran, F. Miraj, I. Khan, I. Tlili, MHD fractional Jeffrey’s fluid flow in the presence of thermo diffusion, thermal radiation effects with first order chemical reaction and uniform heat flux, Results in Physics (2018) 10, 10–17.##[6] T. Hayat, S. Asad, A. Alsaedi, F.E. Alsaad, Radiative Flow of Jeffrey Fluid Through a Convectively Heated Stretching Cylinder, Journal of Mechanics (2015) 31(1), 6978.##[7] K. Das, N. Acharya, P. Kumar Kundu, Radiative flow of MHD Jeffrey fluid past a stretching sheet with surface slip and melting heat Transfer, Alexandria Engineering Journal (2015) 54(4), 815–821.##[8] M.M. Bhatti, M. Ali Abbas, Simultaneous effects of slip and MHD on peristaltic blood flow of Jeffrey fluid model through a porous Medium, Alexandria Engineering Journal (2016) 55(2), 1017–1023.##[9] S. Sreenadh, K. Komala, A.N.S. Srinivas, Peristaltic pumping of a power – Law fluid in contact with a Jeffrey fluid in an inclined channel with permeable walls, Ain Shams Engineering Journal (2017) 8(4), 605–611.##[10] S. Farooq, M. Awais, M. Naseem, T. Hayat, B. Ahmad, Magneto hydrodynamic peristalsis of variable viscosity Jeffrey liquid with heat and mass transfer, Nuclear Engineering and Technology (2017) 49(7), 13961404.##[11] R. Muhammad, M. Bilal, Time dependent MHD nanosecond grade fluid flow induced by permeable vertical sheet with mixed convection and thermal radiation, PloS One (2015) 10(5), e0124929.##[12] D.C. Lu, et al. Upshot of chemical species and nonlinear thermal radiation on OldroydB nanofluid flow past a bidirectional stretched surface with heat generation/absorption in a porous media, Communications in Theoretical Physics (2018) 70(1), 71.##[13] S. Muhammad, et al. Entropy analysis of 3D nonNewtonian MHD nanofluid flow with nonlinear thermal radiation past over exponential stretched surface, Entropy (2018) 20(12), 930.##[14] K. Venkateswara Raju, A. Parandhama, M.C. Raju, K. Ramesh Babu, Unsteady MHD Mixed Convection Flow of Jeffrey Fluid Past a Radiating Inclined Permeable Moving Plate in the Presence of thermophoresis Heat Generation and Chemical Reaction, Journal of Ultra Scientist of Physical Sciences (2018) 30(1), 5165.##[15] Y. Cui, Y. Wang, Q. Huang, S. Wei, Effect of radiation and convection heat transfer on cooling performance of radiative panel, Renewable Energy (2016) 99, 1017.##[16] B.K. Jha, B.Y. Isah , I.J. Uwanta, Unsteady MHD free convective Couette flow between vertical porous plates with thermal Radiation, Journal of King Saud University – Science (2015) 27(4), 338–348.##[17] D. Pal, B. Talukdar, Combined Effects of Joule Heating and Chemical Reaction on Unsteady Magneto hydrodynamic Mixed Convection of a Viscous Dissipating Fluid over a Vertical Plate in Porous Media with Thermal Radiation, Mathematical and Computer Modeling (2011) 54(1112), 30163036.##[18] M. Mokaddes Alia, A.A. Mamunb , Md. Abdul Malequec , N.H. Md. Ariful Azimd, Radiation effects on MHD free convection flow along vertical flat plate in presence of Joule heating and heat generation, Procedia Engineering (2013) 56, 503 – 509.##[19] M.A. Hossain, M.A. Alim, Natural convectionradiation interaction on boundary layer flow along a thin vertical cylinder, Journal of Heat and Mass Transfer (1997) 32(6), 515520.##[20] K. Hsiao, Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects, Applied Thermal Engineering (2017) 112, 12811288.##[21] A. Raptis, Radiation and free convection flow through a porous medium, International Communications in Heat and Mass Transfer (1998) 25(2), 289295.##[22] O.D. Makinde, Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate, International Communications in Heat and Mass Transfer (2005) 32(10), 14111419.##[23] F.S. Ibrahim, A.M. Elaiw, A.A. Bakr, Influence of viscous dissipation and radiation on unsteady MHD mixed convection flow of micropolar fluids, Applied Mathematics & Information Sciences (2008) 2, 143–162.##[24] A.M. Rashad, Impact of thermal radiation on MHD slip flow of a Ferro fluid over a nonisothermal wedge, Journal of Magnetism and Magnetic Materials (2017) 422, 2531.##[25] D. Srinivasacharya, G. Swamy Reddy, Chemical reaction and radiation effects on mixed convection heat and mass transfer over a vertical plate in powerlaw fluid saturated porous medium, Journal of the Egyptian Mathematical Society (2016) 24(1), 108–115.##[26] J. Rani Pattnaik, G. Charan Dash, S. Singh, Radiation and mass transfer effects on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature, Ain Shams Engineering Journal (2017) 8(1), 67–75.##[27] X.H. Luo, B.W. Li, Z.M. Hu, Effects of thermal radiation on MHD flow and heat transfer in a cubic cavity, International Journal of Heat and Mass Transfer (2016) 92, 449–466.##[28] S.M. Arifuzzaman, M.S. Khan, M.F.U. Mehedi, B.M.J. Rana, S.F. Ahmmed, Chemically reactive and naturally convective high speed MHD fluid flow through an oscillatory vertical porous plate with heat and radiation absorption effect, Engineering Science and Technology, an International Journal (2018) 21(2), 215–228.##[29] M.V. Ramana Murthy, R. Srinivasa Raju, J. Anand Rao, Heat and Mass Transfer Effects on MHD Natural Convective Flow Past an Infinite Vertical Porous Plate with Thermal Radiation and Hall Current, Procedia Engineering (2015) 127, 1330 – 1337.##[30] J. Cheng, S. Liao, I. Pop, Analytical series solution for unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous media, Transport in Porous Media (2005) 61(3), 365–379.##[31] D. Dastagiri Babu, S. Venkateswarlu, E. Keashava Reddy, Heat and mass transfer on MHD flow of NonNewtonian fluid over an infinite vertical porous plate with Hall effects, International Journal of Pure and Applied Mathematics (2018) 119(15), 87103.##[32] R.S. Tripathy, G.C. Dash, S.R. Mishra, S. Baag, Chemical reaction effect on MHD free convective surface over a moving vertical plate through porous medium, Alexandria Engineering Journal (2015) 54(3), 673–679.##[33] R. Ul Haq, F. Ahmed Soomro , T. Mekkaoui, Q.M. AlMdallal, MHD natural convection flow enclosure in a corrugated cavity filled with a porous medium, International Journal of Heat and Mass Transfer (2018) 121, 11681178.##[34] D.S. Chauhan, P. Rastog, Radiation Effects on Natural Convection MHD Flow in a Rotating Vertical Porous Channel Partially Filled with a Porous Medium, Applied Mathematical Sciences (2010) 4(13), 643655.##[35] W.T. Cheng, C.H. Lin, Transient mixed convection heat transfer with melting effect from the vertical plate in a liquid saturated porous medium, International Journal of Engineering Science (2006) 44(1516), 1023–1036.##[36] S.Y. Ibrahim, O.D. Makinde, Radiation Effect on Chemically Reacting MHD Boundary Layer Flow of Heat and Mass Transfer through a Porous Vertical Flat Plate, International Journal of Physical Sciences (2011) 6(6), 15081516.##[37] J.R. Pattnaik, G.C. Dash, S. Singh, Diffusionthermo effect with hall current on unsteady hydro magnetic flow past an infinite vertical porous plate, Alexandria Engineering Journal (2017) 56(1), 13–25.##[38] A.J. Chamkha, S.E. Ahmed, Similarity solution for unsteady MHD flow near a stagnation point of a three dimensional porous body with heat and mass transfer, heat generation/ absorption and chemical reaction, Journal of Applied Fluid Mechanics (2011) 4 (2), 8794.##[39] M. Mubashir Bhatti, D.Q. Lu, Analytical Study of the HeadOn Collision Process between hydro elastic Solitary Waves in the Presence of a Uniform Current, Symmetry (2019) 11(3), 333.##[40] A. Zeeshan, N. Ijaz, M. Mubashir Bhatti, Flow analysis of particulate suspension on an asymmetric peristaltic motion in a curved configuration with heat and mass transfer, Mechanics & Industry (2018) 19(4), 401.##]
1

On the Six Node Hexagon Elements for Continuum Topology Optimization of Plates Carrying in Plane Loading and Shell Structures Carrying out of Plane Loading
https://jacm.scu.ac.ir/article_14535.html
10.22055/jacm.2019.28993.1532
1
The need of polygonal elements to represent the domain is gaining interest among structural engineers. The objective is to perform static analysis and topology optimization of a given continuum domain using the rational fraction type shape functions of six node hexagonal elements. In this paper, the main focus is to perform the topology optimization of twodimensional plate structures using Evolutionary Swarm Intelligence Firefly Algorithms (ESIFA) and threedimensional shell structures using optimality criteria. The optimization of plates carrying in plane loading is performed with minimum weight as objective. Two different types of shell structures are optimized using maximum strain energy as criteria. The optimal distribution of the material in the design domain obtained using six node hexagon elements is compared with the optimal distribution of material obtained using quadrilateral elements. A few problems from the literature have been solved and this study has proved that hexagon element gives better results over traditional quadrilateral elements.
0

617
639


K.N.V.
Chandrasekhar
CVR College of Engineering, Hyderabad, Telangana, India
Iran
biml.koralla1@gmail.com


V.
Bhikshma
Civil Engineering Department, Osmania University, Hyderabad, Telangana, India
Iran


S. Abdul
Mohi
CVR College of Engineering, Hyderabad, Telangana, India
Iran
Six node hexagon
Topology
Shells
Firelfy algorithms
Strain energy optimization
Weight optimization
[[1] S. Singh, Optimal Integration Schemes for Polygonal Finite Element Method with SchwarzChristoffel Conformal Mapping, Master’s Thesis, Indian Institute of Science, Bangalore, 2010.##[2] M. Ishiguro, K. Higuchi, Application of hexagonal Element Scheme in Finite Element Method to ThreeDimensional Diffusion Problem of Fast Reactors, Journal of Nuclear Science and Technology, 20(11), 1983, 951960.##[3] M. Mehrenberger, L.S. Mendoza, C. Prouveur, E. Sonnendrucker, Solving the GuidingCenter model on a regular hexagonal mesh, ESAIM: Proc., 53, 2016, 149176.##[4] C. Talischi, G.H. Papulino, C.H. Le, Wachspress Elements for Topology optimization, Department of Civil and Environmental Engineering, University of Illinois at UrbanaChampaign, Proceedings of the 6th International Conference on Computation of Shell and Spatial Structures, IASSIACM, Cornell University, Ithaca, NY, USA, 2008.##[5] O. Verners, Shape optimization of a Superelement of hexagonal Lattice Structure, Riga Technical University, Modris Dobelis, Riga Technical University, 2010.##[6] T. Huang, Y. Gong, S. Zhao, Effective InPlane Elastic Modulus of a Periodic Regular hexagonal Honeycomb Core with Thick Walls, Journal of Engineering Mechanics, 2018, 144(2), 06017019.##[7] R. Levy, W.R. Spillers, Optimal design for axisymmetric cylindrical shell buckling, Journal of Engineering Mechanics, 115(8), 1989, 1683.##[8] S.A. Falco, S.M.B. Alfonso, L.E. Vaz, Analysis and Optimal design of plates and shells under dynamic loads  II: optimization, Structural and Multidisciplinary Optimization, 27, 2004, 197209.##[9] D. Khoza, Topology optimization of platelike structures, Master of Engineering Thesis, University of Pretoria, 2005.##[10] I. Mekjavić, Buckling analysis of concrete spherical shells,Tehnički Vjesnik, 18(4), 2011, 633639.##[11] T. Yin, H.F. Lam, Dynamic Analysis of Finite Length Circular Cylinder shells with a circumferential surface crack, Journal of Engineering Mechanics, 139(10), 2013, 14191434.##[12] A.I. Harb, K.C. Fu, Analysis and optimal design of spherical shells under axisymmetric loads, Journal of Engineering Mechanics, 116(2), 1990, 324342.##[13] A. Aswini, G. Ramakrishna, Computer aided analysis of cylindrical shell roof structure using Matlab, International Journal for Trends in Engineering & Technology, 23(1), 2017, 610.##[14] S. Ahmad, B.M. Irons, O.C. Zienkiewicz, Analysis of Thick and Thin Shell Structures by Curved Finite Elements, International Journal for Numerical Methods in Engineering, 2, 1970, 419451.##[15] K. Kant, R. Singh, Shell Dynamics with three dimensional degenerate finite elements, Computers & Structures, 50(1), 1994, 135144.##[16] M.L. Bucalem, K.J. Bathe, Finite Element Analysis of Shell Structures, Archives of Computational Methods in Engineering, 4(1), 1997, 361.##[17] D. Visy, S. Adany, Local Elastic and Geometric Stiffness Matrix for the Shell element Applied in cFEM, Periodica Polytechnica Civil Engineering, 61(3), 2017, 569580.##[18] V. den Boom, Topology optimization Including Buckling Analysis, Master of Science Thesis, Delft University of Technology, 2014.##[19] B. Archana, K.N.V. Chandrasekhar, T.M. Rao, A study on parameters of Firefly algorithm to perform Topology optimization of Continuum structures  II, imanager’s Journal on Structural Engineering, 6(1), 2017, 1627.##[20] X.S. Yang, Firefly algorithms for multimodal optimization, Lecture Notes in Computer Sciences, 5792, 2009, 169178.##[21] X.S. Yang, Firefly algorithm, Levy flights and global optimization, in Research and Development in Intelligent Systems XXVI (Eds M. Bramer, R. Ellis, M. Petridis), Springer London, 2010, 209218.##[22] A. Baghlani, M.H. Makiabadi, M. Sarcheshmehpour, Discrete Optimum Design of Truss Structures by an Improved Firefly Algorithm, Advances in Structural Engineering, 17(10), 2014, 15171530.##[23] Y.W. Siu, B.S.L. Lai, F.W. Wang, Z.H. Zhou, S.L. Chan, Optimization of Structures by the Optimality Criteria Method, HKIE Transactions, 10(3), 2003, 4853.##[24] K.J. Bathe, E.N. Dvorkin, A formulation of General Shell Elements  The Use of Mixed Interpolation of Tensorial Components, International Journal for Numerical Methods in Engineering, 22, 1986, 697722.##[25] W. Altman, F. Iguti, A Thin Cylindrical Shell Finite Element Based on a Mixed Formulation, Computers & Structures, 6, 1976, 149155.##[26] G. Yi, Y. Sui, TIMP method for topology optimization of plate structures with displacement constraints under multiple loading cases, Structural and Multidisciplinary Optimization, 53(6), 2016, 11851196.##[27] H.C. Gea, Y. Fu, 3D Topology optimization using a Design Domain Method, SAE Transactions: Journal of Passenger Cars, 104(6):1995, 19831989.##]
1

Effects of Nonuniform Suction, Heat Generation/Absorption and Chemical Reaction with Activation Energy on MHD FalknerSkan Flow of Tangent Hyperbolic Nanofluid over a Stretching/Shrinking Eedge
https://jacm.scu.ac.ir/article_14765.html
10.22055/jacm.2019.30309.1714
1
In the present investigation, the magnetohydrodynamic FalknerSkan flow of tangent hyperbolic nanofluids over a stretching/shrinking wedge with variable suction, internal heat generation/absorption and chemical reaction with activation energy have been scrutinized. Nanofluid model is composed of “Brownian motion’’ and “Thermophoresis’’. Transformed nondimensional coupled nonlinear equations are solved by adopting the fourthorder RK method along with the shooting technique. A comprehensive analysis of nanofluid velocity, the relative temperature, and its concentration profiles has been addressed. The major outcomes of the current study include that augmentation in the Weissenberg parameter, Hartmann number along with suction impede fluid flow and the shrinkage of the related boundary layer while internal heating develops an ascending thermal boundary layer for static and moving (stretching/shrinking) wedge. An increment in reaction rate undermines the nanoparticle concentration while that of activation energy exhibits a reverse trend.
0

640
652


A.
Patra
Department of Mathematics, Govt. Autonomous College, Rourkela, Odisha, India
Iran
arunpatra58@gmail.com


M.K.
Nayak
Department of Physics, Radhakrishna Institute of Technology and Engineering, Bhubaneswar752057, Odisha, India
Iran
mkn2122@gmail.com


Ashok
Misra
Department of Mathematics, Centurion University of Technology and Management, Paralakhemundi, Gajapati761211, Odisha, India
Iran
amisra1972@gmail.com
FalknerSkan MHD Flow
Tangent Hyperbolic Nanofluid
Stretching/shrinking wedge
Variable Suction
Chemical Reaction with activation energy
Heat generation/absorption
[[1] Choi S.U.S., Enhancing thermal conductivity of fluids with nanoparticles, ASME Fluids Eng. Division, 231, 1995, 99105.##[2] Buongiorno, J., Convective transport in nanofluids, J. Heat Transf., 128(3), 2006, 240–250.##[3] Oztop H.F., Nada E.A., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29(5), 2008, 1326–1336.##[4] Khan W., Pop I., Boundarylayer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transf., 53, 2010, 2477–2483.##[5] Makinde O.D., Aziz A., Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int. J. Therm. Sci., 50, 2012, 1326–1332.##[6] Khan Hashim M., A revised model to analyze the heat and mass transfer mechanisms in the flow of Carreau nanofluids, Int. J. Heat Mass Transf., 103, 2016, 291–297.##[7] Sheikholeslami M., Vajravelu K., Rashidi M.M., Forced convection heat transfer in a semi annulus under the influence of a variable magnetic field, Int. J. Heat Mass Transf., 92, 2016, 339–348.##[8] Dogonchi A.S., Divsalar K., Ganji D.D., Flow and heat transfer of MHD nanofluid between parallel plates in the presence of thermal radiation, Comp. Math. Appl. Mech. Eng., 310, 2016, 58–76.##[9] Nayak M.K., Akbar N.S., Pandey V.S., Khan Z.H., Tripathi D., 3D free convective MHD flow of nanofluid over permeable linear stretching sheet with thermal radiation, Powd. Technol., 315, 2017, 205215.##[10] Nayak M.K., Chemical reaction effect on MHD viscoelastic fluid over a stretching sheet through porous medium, Meccanica, 51, 2016, 16991711.##[11] Aman S., Khan I., Ismail Z., Salleh M.Z., AlMdallal Q. M., Heat transfer enhancement in free convection flow of CNTs Maxwell nanofluids with four different types of molecular liquids, Scientific Reports, 7(1), 2017, 24452455.##[12] Nayak M.K., Akbar N.S., Pandey V.S., Khan Z.H., Tripathi D., MHD 3D free convective flow of nanofluid over an exponentially stretching sheet with chemical reaction, Adv. Powder Technol., 28(9), 2017, 21592166.##[13] Nayak M.K., Shaw S., Chamkha A.J., MHD free convective stretched flow of a radiative nanofluid inspired by variable magnetic field, Arab. J. Sci. Eng., 44(2), 2019, 12691282.##[14] Besthapu P., Haq R.U., Bandari S., AlMdallal Q.M., Thermal radiation and slip effects on MHD stagnation point flow of nonNewtonian nanofluid over a convective stretching surface, Neural Compt. Appl., 31(1), 2019, 207217.##[15] Khan Z.H., Qasim M., Haq R. U., AlMdalla Q.M., Closedform dual nature solutions of fluid flow and heat transfer over a stretching/shrinking sheet in a porous medium, Chinese J. Physics, 55(4), 2017, 12841293.##[16] Nayak M.K., MHD 3D flow and heat transfer analysis of nanofluid by shrinking surface inspired by thermal radiation and viscous dissipation, Int. J. Mech. Sci., 125, 2017, 185193.##[17] Nayak M.K., Mehmood R., Makinde O.D., Mahian O., Chamkha A.J., Magnetohydrodynamic flow and heat transfer impact on ZnOSAE50 nano lubricant flow due to an inclined rotating disk, J Central South University, 26, 2019, 11461160.##[18] Schlichting H., Gersten K., Boundary layer theory, 8th ed. SpringerVerlag, Berlin, 2000.##[19] Leal L.G., Advanced transport phenomena: Fluid mechanics and convective transport processes, Cambridge Univ. Press, New York, 2007.##[20] Falkner V.M., Skan S.W., Some approximate solutions of the boundarylayer equations, Philos. Mag., 12, 1931, 865–896.##[21] Allan, Q.M., Al Mdallal, Q.M., Series solutions of the modified FalknerSkan equation, Int. J. Open Probl. Compt. Math., 4(2), 2011, 189198.##[22] Watanabe T., Thermal boundary layers over a wedge with uniform suction or injection in forced flow, Acta Mech., 83(3), 1990, 119–126.##[23] Ishak A., Nazar R., Pop I., MHD boundarylayer flow past a moving wedge, Magnetohydrodynamics, 1, 2009, 103–110.##[24] Ganesh N.V., AlMdallal Q.M., Kameswaran P.K., Numerical study of MHD effective Prandtl number boundary layer flow of γ Al2O3 nanofluids past a melting surface, Case Studies Thermal Eng., 13, 2019, 100413.##[25] Akbar N.S., Nadeem S., Haq R.U., Khan Z.H., Numerical solutions of Magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet, Indian J. Phys., 87, 2013, 1121–1124.##[26] Prabhakar B., Bandari S., Haq R.U., Impact of inclined Lorentz forces on tangent hyperbolic nanofluid flow with zero normal flux of nanoparticles at the stretching sheet, Neural Comput. Appl., DOI 10.1007/s0052101626014.##[27] Su X., Zheng L., Approximate solutions to MHD FalknerSkan flow over permeable wall, Appl. Math. Mech., 32(4), 2011, 401–408.##[28] Ganesh N.V., Ganga B., Abdul Hakeem A.K., Saranya S., Kalaivanan V.R., Hydromagnetic axissymmetric slip flow along a vertical stretching cylinder with convective boundary condition, St. Petersburg Polyt. University J: Phys. and Math., 2, 2016, 273–280.##[29] Khan M., Azam M., Alshomrani A.S., On unsteady heat and mass transfer in Carreau nanofluid flow over expanding or contracting cylinder with convective surface conditions, J. Mol. Liq., 231, 2017, 474484.##[30] Ganga B., Ansari S.M.Y., Ganesh N.V., Hakeem A.K.A., MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption, Propul. Power Research, 5(3), 2016, 211222.##[31] Mabood F., Shateye S., Rashidi M.M., Momoniat E., Freidoonimehr N., MHD stagnation point flow heat and mass transfer of nanofluids in porous medium with radiation, viscous dissipation, and chemical reaction, Adv. Powder Technol., 27, 2016, 742749.##[32] Khan M., Azam M., Munir A., On unsteady FalknerSkan flow of MHD Carreau nanofluid past a static/moving wedge with convective surface condition, J. Mol. Liq., 230, 2017, 4858.##[33] Ariel P.D., Hiemenz flow in hydromagnetics, Acta Mech., 103, 1994, 31–43.##[34] Srinivasacharya D., Mendu U., Venumadhav K., MHD boundary layer flow of a nanofluid past a Wedge, Procedia Eng., 127, 2015, 1064–1070.##[35] Sadri R., Ahmadi G., Togun H., Dahari M., Kazi S.N., Sadeghinezhad E., Zubir N., An experimental study on thermal conductivity and viscosity of nanofluids containing carbon nanotubes. Nano. Res. Lett., 9(1), 2014, 151.##]
1

Effect of Chemical Reaction on Bioconvective Flow in Oxytactic Microorganisms Suspended Porous Cavity
https://jacm.scu.ac.ir/article_14811.html
10.22055/jacm.2019.14811
1
In this paper, the bioconvective flow in a porous square cavity containing oxytactic microorganism in the presence of chemical reaction is investigated. The bioconvection flow and heat transfer in porous media are formulated based on the Darcy model of Boussinesq approximation. The governing partial differential equations are solved using the Galerkin finite element method. The computational numerical results are exhibited by the streamlines, isotherms, isoconcentrations of oxygen, isoconcentrations of microorganisms, average Nusselt number, average Sherwood numbers of oxygen concentration and microorganisms. The effects of key parameters such as bioconvection Rayleigh number (Rb), chemical reaction parameter (Kr) and thermal Rayleigh number (Ra) are presented and analyzed. It can be deduced that the chemical reaction reduces the strength of isoconcentrations of both oxygen and microorganisms. It has been revealed that the chemical reaction has a greater effect on the swimming of the microorganisms, average Nusselt number, and average density number.
0

653
664


Chandra Shekar
Balla
Department of Mathematics, Koneru Lakshmaiah Education Foundation, Hyderabad, Telangana, 500075, India
Iran
shekar.balla@gmail.com


Ramesh
Alluguvelli
Department of Mathematics, Geethanjali College of Engineering & Technology, Cheeryal (V), Keesara (M), Medchal, Telangana, 501301, India
Iran
alluramesh1@gmail.com


Kishan
Naikoti
Department of Mathematics, Osmania University, Hyderabad, Telangana, 500007, India
Iran
kishan.naikoti@gmail.com


Oluwole Daniel
Makinde
Faculty of Military Science, Stellenbosch University, Stellenbosch, Western Cape, 7602, South Africa
Iran
makinded@gmail.com
thermobioconvection
oxytactic microorganisms
porous square cavity
Chemical reaction
Finite element method
[[1] Nield, D. A., Bejan, A., Convection in Porous Media, 4th edn., Springer, New York, 2013.##[2] Ingham, D.B., Pop, I., Transport Phenomena in Porous Media, Vol. III., Elsevier, Oxford, 2005.##[3] Vafai, K., Handbook of Porous Media, 2nd edition, Taylor and Francis, New York, 2005.##[4] Pop, I., Ingham, D.B., Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media, Pergamon, Oxford, 2001.##[5] Rahman, M.M., Pop, I., Saghir, M.Z., Steady free convection flow within a titled nanofluid saturated porous cavity in the presence of a sloping magnetic field energized by an exothermic chemical reaction administered by Arrhenius kinetics, International Journal of Heat and Mass Transfer, 129, 2019, 198–211##[6] Balla C.S., Haritha, C., Kishan, N., Magnetohydrodynamic convection in a porous square cavity filled by a nanofluid with viscous dissipation effects, Proceedings of the Institution of Mechanical Engineers, Part E: J Process Mechanical Engineering, 233(3), 2019, 474488.##[7] Balla, C.S., Kishan, N., Chamkha, A.J., Soret and Dufour effects on MHD natural convective heat and solute transfer in fluidsaturated porous cavity, Journal of Porous Media, 19(8), 2016, 669686.##[8] Balla C.S., Kishan, N., Haritha, C., Convection in NanofluidFilled Porous Cavity with Heat Absorption/Generation and Radiation, Journal of Thermophysics and Heat Transfer, 31(3), 2016, 549562.##[9] S. Childress, S., Levandowsky, M., Spiegel, E.A., Pattern formation in a suspension of swimming microorganismsequations and stability theory, Journal of Fluid Mechanic, 69, 1975, 591–61.##[10] Pedley, T.J., Hill, N.A., Kessler, J.O., The growth of bioconvection patterns in a uniform suspension of gyrotactic microorganisms, Journal of Fluid Mechanic, 195, 1988, 223–237.##[11] Hill, N.A., Pedley, T.J., Kessler, J.O., Growth of bioconvection patterns in a suspension of gyrotactic microorganisms in a layer of finite depth, Journal of Fluid Mechanic, 208, 1989, 509–543.##[12] Hillesdon, A.J., Pedley, T.J., Kessler, J.O., The development of concentration gradients in a suspension of chemotactic bacteria Bull, Mathematical Biology, 57, 1995, 299–344.##[13] Hillesdon, A.J., Pedley, T.J., Bioconvection in suspensions of oxytactic bacteria: linear theory, Journal of Fluid Mechanic, 324, 1996, 223–259.##[14] Makinde, O.D., Animasaun, I.L., Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution, International Journal of Thermal Sciences, 109, 2016, 159171.##[15] Makinde, O.D., Animasaun, I.L., Thermophoresis and Brownian motion effects on MHD bioconvection of nanofluid with nonlinear thermal radiation and quartic chemical reaction past an upper horizontal surface of a paraboloid of revolution, Journal of Molecular Liquids, 221, 2016, 733743.##[16] Mutuku, W.N., Makinde, O.D., Hydromagnetic bioconvection of nanofluid over a permeable vertical plate due to gyrotactic microorganisms, Computers and Fluids, 95, 2014, 88–97.##[17] Sheremet, M.A., Pop, I., Thermo bioconvection in a square porous cavity filled by oxytactic microorganisms, Transport Porous Media, 103, 2014, 191205.##[18] Kuznetsov, A.V., The onset of thermobioconvection in a shallow fluidsaturated porous layer heated from below in a suspension of oxytactic microorganisms, European Journal of Mechanics B/Fluids, 25, 2006, 223–233##[19] Ahmed, S.E., Oztop, H.F., Mansour, M.A., AbuHamdeh, N., MHD Mixed ThermoBioconvection in Porous Cavity Filled by Oxytactic Microorganisms, Thermal Science, 22(6B), 2018, 27112721##[20] Anwar Beg, O., Prasad, V.R., Vasu, B., Numerical Study Of Mixed Bioconvection in Porous Media Saturated with Nanofluid Containing Oxytactic Microorganisms, Journal of Mechanics in Medicine and Biology, 13(4), 2013, 1350067.##[21] Tham, L., Nazar, R., Pop, I., Mixed convection flow over a solid sphere embedded in a porous medium filled by a nanofluid containing gyrotactic microorganisms, International Journal of Heat and Mass Transfer, 62, 2013, 647660.##[22] Khan, W.A., Makinde, O.D., Khan, Z.H., MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip, International Journal of Heat and Mass Transfer, 74, 2014, 285–291.##[23] Khan, W.A., Makinde, O.D., MHD nanofluid bioconvection due to gyrotactic microorganisms over a convectively heat stretching sheet, International Journal of Thermal Sciences, 81, 2014, 118124.##[24] Saranya, S., Radha, K.V., Review of nano biopolymers for controlled drug delivery, PolymerPlastics Technology and Materials, 53, 2014, 16361646.##[25] Balla, C.S., Haritha, C., Kishan, N., Rashad, A.M., Bioconvection in nanofluidsaturated porous square cavity containing oxytactic microorganisms, International Journal of Numerical Methods for Heat & Fluid Flow, 29(4), 2019, 14481465.##[26] Kumar, P.B.S., Gireesha, B.J., Mahanthesh, B., Chamkha, A.J., Thermal analysis of nanofluid flow containing gyrotactic microorganisms in bioconvection and secondorder slip with convective condition, Journal of Thermal Analysis and Calorimetry, 136(5), 2019, 19471957.##[27] Tlili, I., Khan, W.A., Ramadan, K., Entropy Generation Due to MHD Stagnation Point Flow of a Nanofluid on a Stretching Surface in the Presence of Radiation, Journal of Nanofluids, 7(5), 2018, 879890.##[28] Tlili, I., Khan, W.A., Ramadan, K., MHD Flow of Nanofluid Flow Across Horizontal Circular Cylinder: Steady Forced Convection, Journal of Nanofluids, 8(1), 2019, 179186.##[29] Tawfeeq A.A., Sheikholeslami, M., Usman, M., Haq, R.U., Shafee, Saad AlAhmadi, A., Tlili, I., Thermal management of MHD nanofluid within the porous medium enclosed in a wavy shaped cavity with square obstacle in the presence of radiation heat source, International Journal of Heat and Mass Transfer, 139, 2019, 8794.##[30] Anjalidevi, S.P., Kandasamy, R., Effect of chemical reaction, heat and mass transfer on laminar flow along a semiinfinite horizontal plate, Heat and Mass Transfer, 35, 1999, 465–472##[31] Patil, P.M., Kulkarni, P.S., Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation, International Journal of Thermal Sciences, 47, 2008, 10431054.##[32] Das, K., Influence of chemical reaction and viscous dissipation on MHD mixed convection flow, Journal of Mechanical Science and Technology, 28, 2014, 18811885.##[33] Seddeek, M.A., Darwish, A.A., Abdelmeguid, M.S., Effects of chemical reaction and variable viscosity on hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media with radiation, Communications in Nonlinear Science and Numerical Simulation, 12, 2007, 195–213##[34] Postelnicu, A., Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects, Heat Mass Transfer, 43, 2007, 595–602##[35] Balla, C.S., Kishan, N., Radiation effects on unsteady MHD convective heat and mass transfer past a vertical plate with chemical reaction and viscous dissipation, Alexandria Engineering Journal, 2015, 54: 661671.##[36] Reddy, C.S., Kishan, N., Balla, C.S., MHD boundary layer flow and heat transfer of a nanofluid over a shrinking sheet with mass suction and chemical reaction, Journal of Nanofluids, 4, 2015, 518527.##[37] Balla, C.S., Haritha, C., Kishan, N., MHD doublediffusive convection in fluidsaturated inclined porous cavity with thermal radiation and chemical reaction, Journal of Chemical Technology and Metallurgy, 53(3), 2018, 518536.##[38] Zhang, C., Zheng, L., Zhang, X., Chen, G., MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction, Applied Mathematical Modelling, 39, 2015, 165–181.##[39] Manoj, K.N., Shaw, S., Makinde, O.D., Chemically reacting and radiating nanofluid flow past an exponentially stretching sheet in a porous medium, Indian Journal of Pure & Applied Physics, 56(10), 2018, 773786.##[40] Makinde, O.D., Eegunjobi, A.S., Shuungula, O., NeossiNguetchue, S.N., Hydromagnetic chemically reacting and radiating unsteady mixed convection Blasius flow past surface flat in a porous medium, International Journal of Computing Science and Mathematics, 9(6), 2018, 525538.##[41] Mahanthesh, B., Mabood, F., Gireesha, B.J., Gorla, R.S.R., Effects of chemical reaction and partial slip on the threedimensional flow of a nanofluid impinging on an exponentially stretching surface, The European Physical Journal Plus, 2017, 132(3), 113.##[42] Hayat, T., Waqas, M., Khan, M.I., Alsaedi, A., Impacts of constructive and destructive chemical reactions in magnetohydrodynamic (MHD) flow of Jeffrey liquid due to nonlinear radially stretched surface, Journal of Molecular Liquids, 2017, 225, 302310.##[43] Hayat, T., Qayyum, S., Waqa, M., Ahmed, B., Influence of thermal radiation and chemical reaction in mixed convection stagnation point flow of Carreau fluid, Results in Physics, 2017, 7, 40584064.##[44] Farooq, S., Khan, M.I., Hayat, T., Waqas, M., Alsaedi, A., Theoretical investigation of peristalsis transport in flow of hyperbolic tangent fluid with slip effects and chemical reaction, Journal of Molecular Liquids, 2019, 285, 314322.##[45] Balla, C.S., Kishan, N., Finite element analysis of magnetohydrodynamic transient free convection flow of nanofluid over a vertical cone with thermal radiation, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering, and Nanosystems, 230(3), 2016, 161173.##[46] Balla, C.S., Kishan, N., Finite element analysis of fully developed unsteady MHD convection flow in a vertical rectangular duct with viscous dissipation and heat source/sink, Journal of Applied Science and Engineering, 18(2), 2015, 143152.##[47] Balla, C.S., Kishan, N., Finite element analysis of natural convective heat transfer in a porous square cavity filled with nanofluids in the presence of thermal radiation, Journal of Physics: Conference Series, 662, 2015, 012017.##[48] Manole, D.M., Lage, J.M., Numerical benchmark results for natural convection in a porous medium cavity, Heat and Mass Transfer Porous Media, ASME Conference, 105, 1992, 4459.##[49] Baytas, A.C., Pop, I., Free convection in oblique enclosures filled with a porous medium, International Journal of Heat and Mass Transfer, 42, 1999, 10471057.##[50] Revnic, C., Grosan, T., Pop, I., Ingham, D.B., Free convection in a square cavity filled with a bidisperse porous medium, International Journal of Thermal Sciences, 48, 2009, 18761883.##[51] Sheremet, M.A., Pop, I., Thermo bioconvection in a square porous cavity filled by oxytactic microorganisms, Transport Porous Media, 103, 2014, 191205.##]
1

Nonlinear Buckling and Postbuckling of Shape Memory Alloy Shallow Arches
https://jacm.scu.ac.ir/article_15083.html
10.22055/jacm.2019.31795.1918
1
In this work, the nonlinear buckling and postbuckling behavior of shallow arches made of Shape Memory Alloy (SMA) is investigated. Arches are susceptible to large deflections, due to their slenderness, especially when the external load exceeds the serviceability limit point. Beyond this, loss of stability may occur, the famous snapthrough buckling. For this reason, curved beams can be used in passive vibration control devices for seismic response mitigation, and the geometrically nonlinear analysis is needed for the accurate prediction of their response. Thus, in this research effort, the assumptions of the EulerBernoulli beam theory are considered, and the Von Karman strain field is employed to account for large deflections. The formulation of the problem is displacementbased regarding the axial (tangential) and transverse (normal) displacements, while the two governing equations are coupled and nonlinear. In order to introduce the SMA constitutive law, the stressstrain experimental curves described in the literature are employed together with a fiber approach at specific control crosssections along the beam. The numerical solution of the longitudinal problem is achieved using the Analog Equation Method (AEM), a Boundary Element Method (BEM) based technique, and the iterative procedure is based on a NewtonRaphson scheme by using a displacement control algorithm to trace the fully nonlinear equilibrium path and overcome the limit points. Several representative examples are studied, not only to validate the proposed model but also to investigate the nonlinear buckling and postbuckling of SMA shallow arches.
0

665
683


George C.
Tsiatas
Department of Mathematics, University of Patras, University Campus, Rio, GR26504, Greece
Iran
gtsiatas@upatras.gr


Ioannis N.
Tsiptsis
Department of Civil, Geo and Environmental Engineering, Technische Universität München, Arcisstr. 21, Munich, D80333, Germany
Iran
ioannis.tsiptsis@tum.de


Antonis G.
Siokas
School of Civil Engineering, National Technical University of Athens, Zografou Campus, Athens, GR15773, Greece
Iran
antonissiokas@gmail.com
Shallow arches
Shape Memory Alloys
Buckling
Nonlinear Analysis
Fiber Approach
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1

Laplace Variational Iteration Method for Modified Fractional Derivatives with Nonsingular Kernel
https://jacm.scu.ac.ir/article_15045.html
10.22055/jacm.2019.31099.1827
1
A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the CaputoFabrizio fractional derivative and the AtanganaBaleanu fractional derivative with the nonsingular kernel is considered. The analysis elaborated for both nonsingular kernel derivatives is shown the necessity of considering the modified CaputoFabrizio fractional derivative and the analogous modifications for the AtanganaBaleanu fractional derivative with nonsingular MittagLeffler kernel in order to satisfy the initial conditions for some fractional differential equations.
0

684
698


Huitzilín
YépezMartínez
Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, C.P. 09790 México D.F., México
Iran
hyemaras@gmail.com


José Francisco
GómezAguilar
Departamento de Ingeniería Electrónica, CONACyTTecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca Morelos, México
Iran
jgomez@cenidet.edu.mx
Variational iteration method
Fractional calculus
Laplace transform
Modified CaputoFabrizio fractional derivative
Modified AtanganaBaleanu fractional derivative
[[1] A. Kilbas, H.M. Srivastava, J.J. Trujillo. Theory and Applications of Fractional Differential Equations, Elsevier Science, Amsterdam 2006.##[2] R. Hilfer. Applications of Fractional Calculus in Physics, World Scientific Publishing, River Edge, NJ, 2000.##[3] B.J. West, M. Bologna, P. Grigolini. Physics of Fractal Operators, Springer, New York, 2003.##[4] K.B. Oldham, J. Spanier. The Fractional Calculus, Academic Press, New York, 1974.##[5] I. Podlubny. Fractional Differential Equations, Academic Press, New York, 1999.##[6] D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo. Fractional calculus models and numerical methods, Series on Complexity, Nonlinearity, and Chaos, World Scientific, 2012.##[7] GC. Wu, D. Baleanu. Variational iteration method for fractional calculus  A universal approach by Laplace transform, Advances in Difference Equations, 2013(1), (2013), 118.##[8] T.A. Biala, Y.O. Afolabi, O.O. Asim. 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A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials, Journal of Computational and Applied Mathematics, 207(1), (2007), 5963.##[14] M.A. Noor, S.T. MohyudDin. Variational iteration technique for solving higher order boundary value problems, Applied Mathematics and Computation, 189(2), (2007), 19291942.##[15] M.A. Noor, S.T. MohyudDin. Variational iteration method for solving higherorder nonlinear boundary value problems using He's polynomials, International Journal of Nonlinear Sciences and Numerical Simulation, 9(2), (2008), 141156.##[16] E. Yusufoglu. The variational iteration method for studying the KleinGordon equation, Applied Mathematics Letters, 21(7), (2008), 669674.##[17] A. Yildirim, T. Özis. Solutions of singular IVPs of LaneEmden type by the variational iteration method, Nonlinear Analysis, Theory, Methods & Applications, 70(6), (2009), 24802484.##[18] G.C. Wu. New trends in variational iteration method, Fractional Calculus and Applied Analysis, 2(2), (2011), 5975.##[19] G.C. Wu, K.T. Wu. Variational approach for fractional diffusionwave equations on Cantor sets, Chinese Physics Letters, 29(6), (2012), 19.##[20] G.C. Wu. Variational iteration method for qdifference equations of second order, Journal of Applied Mathematics, 1, (2012), 15.##[21] T. Allahviranloo, S. Abbasbandy, H. Rouhparvar. The exact solutions of fuzzy wavelike equations with variable coefficients by a variational iteration method, Applied Soft Computing, 11(2), (2011), 21862192.##[22] H. Jafari, C.M. Khalique. Homotopy perturbation and variational iteration methods for solving fuzzy differential equations, Commun. Fract. Calc., 3(1), (2012), 3848.##[23] H. Jafari, M. Saeidy, D. Baleanu. The variational iteration method for solving nth order fuzzy differential equations, Central European Journal of Physics, 10(1), (2012), 7685.##[24] M. Caputo, M. Fabrizio. A new definition of fractional derivative without singular kernel, Progress in Fractional Differentiation and Applications, 1(2), (2015), 113.##[25] J. Lozada, J.J. Nieto. Properties of a new fractional derivative without singular kernel, Progress in Fractional Differentiation and Applications, 1(2), (2015), 8792.##[26] H. YépezMartínez, J.F. GómezAguilar. A new modified definition of CaputoFabrizio fractionalorder derivative and their applications to the multistep homotopy analysis method (MHAM), Journal of Computational and Applied Mathematics, 346, (2019), 247260.##[27] A. Atangana, D. Baleanu. New Fractional Derivatives with Nonlocal and Nonsingular Kernel: Theory and Application to Heat Transfer Model, Thermal Science, 20(2), (2016), 763769.##[28] X. Yu, Y. Zhang, H. Guang Sun, C. Zheng. Time fractional derivative model with MittagLeffler function kernel for describing anomalous diffusion: Analytical solution in boundeddomain and model comparison, Chaos, Solitons and Fractals, 115, (2018), 306 312.##[29] M. Alquran, I. Jaradat. A novel scheme for solving Caputo timefractional nonlinear equations: theory and application, Nonlinear Dynamics, 91(4), (2018), 23892395.##[30] H.M. Jaradat, I. Jaradat, M. Alquran, M.M.M. Jaradat, Z. Mustafa, K.M. Abohassan, R. Abdelkarim. Approximate solutions to the Generalized TimeFractional Ito system, Italian Journal of Pure and Applied Mathematics, 37, (2017), 699710.##[31] M. Alquran, H.M. Jaradat, M.I. Syam. Analytical solution of the timefractional Phi4 equation by using modified residual power series method, Nonlinear Dynamics, 90(4), (2017), 25252529.##[32] M. Alquran, K. AlKhaled, S. Sivasundaram, H.M Jaradat. Mathematical and numerical study of existence of bifurcations of the generalized fractional BurgersHuxley equation, Nonlinear Studies, 24(1), (2017), 235244.##[33] I. Jaradat, M. AlDolat, K. AlZoubi, M. Alquran. Theory and applications of a more general form for fractional power series expansion, Chaos, Solitons and Fractals, 108, (2018), 107110.##[34] M. Senol, M. Alquran, H. Daei Kasmaei. On the comparison of perturbationiteration algorithm and residual power series method to solve fractional ZakharovKuznetsov equation, Results in Physics, 9, (2018), 321327.##[35] I. Jaradat, M. Alquran, R. AbdelMuhsen. An analytical framework of 2D diffusion, wavelike, telegraph, and Burgers' models with twofold Caputo derivatives ordering, Nonlinear Dynamics, 93(4), (2018), 19111922.##[36] I. Jaradata, M. Alquranb, K. AlKhaled. An analytical study of physical models with inherited temporal and spatial memory, The European Physical Journal Plus, 133, (2018), 111.##]
1

The DensityDriven Nanofluid Convection in an Anisotropic Porous Medium Layer with Rotation and Variable Gravity Field: A Numerical Investigation
https://jacm.scu.ac.ir/article_15222.html
10.22055/jacm.2019.31137.1833
1
In this study, a numerical examination of the significance of rotation and changeable gravitational field on the start of nanofluid convective movement in an anisotropic porous medium layer is shown. A model that accounts for the impact of Brownian diffusion and thermophoresis is used for nanofluid, while Darcy’s law is taken for the porous medium. The porous layer is subjected to uniform rotation and changeable downward gravitational field which fluctuates with the height from the layer by linearly or parabolic. The higherorder Galerkin technique is applied to obtain the numerical solutions. The outcomes demonstrate that the rotation parameter TD, the thermal anisotropy parameterh and the gravity variation parameter λ slow the beginning of convective motion, whereas the mechanical anisotropy parameter ξ, the nanoparticle RayleighDarcy number Rnp, the modified diffusivity ratio NAnf and the modified nanofluid Lewis number Lenf quick the start of convective motion. For instance, by rising the gravity variation parameterfrom zero to 1.4, the critical nanofluid thermal RayleighDarcy number Rnf,c and the critical wave numberboost maximum around 133% and 7%, respectively for linear variation of the gravity field, while it were 47% and 2.8% for parabolic variation of the gravity field. It is also observed that the system is more unstable for the parabolic variation of the gravity field.
0

699
712


Dhananjay
Yadav
Department of Mathematical & Physical Sciences, University of Nizwa, Nizwa, P.O. Box 33, PC 616, Sultanate of Oman
Iran
dhananjayadav@gmail.com
Nanofluids
Convective instability
Rotation
Variable gravity
Anisotropic porous medium
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