A 3D full layer-wise method for yield achievement in Functionally Graded Sandwich Plates with general boundary conditions

Akis, 2009, Elastoplastic analysis of functionally graded spherical pressure vessels, Comput. Mater. Sci., 46, 545, 10.1016/j.commatsci.2009.04.017 Alibeigloo, 2014, Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity, Eur. J. Mech. A Solid., 44, 104, 10.1016/j.euromechsol.2013.10.002 Alibeigloo, 2015, Static and free vibration analyses of functionally graded sandwich plates using state space differential quadrature method, Eur. J. Mech. A Solid., 54, 252, 10.1016/j.euromechsol.2015.06.011 Alipour, 2012, An elasticity-equilibrium-based zigzag theory for axisymmetric bending and stress analysis of the functionally graded circular sandwich plates, using a Maclaurin-type series solution, Eur. J. Mech. A Solid., 34, 78, 10.1016/j.euromechsol.2011.12.004 Alipour, 2016, A novel economical analytical method for bending and stress analysis of functionally graded sandwich circular plates with general elastic edge conditions, subjected to various loads, Compos. B Eng., 95, 48, 10.1016/j.compositesb.2016.03.090 Atai, 2016, Analytic investigation of effect of electric field on elasto-plastic response of a functionally graded piezoelectric hollow sphere, J. Mech. Sci. Technol., 30, 113, 10.1007/s12206-015-1213-8 Atai, 2017, Analytic solution of effect of electric field on elasto-plastic response of a functionally graded piezoelectric hollow cylinder, Int. J. Press. Vessel. Pip., 155, 1, 10.1016/j.ijpvp.2017.06.007 Bessaim, 2013, A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets, J. Sandw. Struct. Mater., 15, 671, 10.1177/1099636213498888 Bhattacharyya, 2007, On the stress to strain transfer ratio and elastic deflection behavior for Al/SiC functionally graded material, Mech. Adv. Mater. Struct., 14, 295, 10.1080/15376490600817917 Brischetto, 2018, A 3D layer-wise model for the correct imposition of transverse shear/normal load conditions in FGM shells, Int. J. Mech. Sci., 136, 50, 10.1016/j.ijmecsci.2017.12.013 Dehnavi, 2017, Investigation of thermo-elasto-plastic behavior of thick-walled spherical vessels with inner functionally graded coatings, Meccanica, 52, 2421, 10.1007/s11012-016-0596-7 Demirhan, 2017, Levy solution for bending analysis of functionally graded sandwich plates based on four variable plate theory, Compos. Struct., 177, 80, 10.1016/j.compstruct.2017.06.048 Gunes, 2011, The elasto-plastic impact analysis of functionally graded circular plates under low-velocities, Compos. Struct., 93, 860, 10.1016/j.compstruct.2010.07.008 Houari, 2013, Thermoelastic bending analysis of functionally graded sandwich plates using a new higher order shear and normal deformation theory, Int. J. Mech. Sci., 76, 102, 10.1016/j.ijmecsci.2013.09.004 Iurlaro, 2014, Bending and free vibration analysis of functionally graded sandwich plates using the refined zigzag theory, J. Sandw. Struct. Mater., 16, 669, 10.1177/1099636214548618 Jahromi, 2012, Elasto-plastic stresses in a functionally graded rotating disk, J. Eng. Mater. Technol., 134, 10.1115/1.4006023 Jin, 2003, Cohesive fracture modeling of elastic–plastic crack growth in functionally graded materials, Eng. Fract. Mech., 70, 1885, 10.1016/S0013-7944(03)00130-9 Jin, 2004, Crack growth resistance behavior of a functionally graded material: computational studies, Eng. Fract. Mech., 71, 1651, 10.1016/j.engfracmech.2003.08.002 Kahya, 2018, Vibration and stability analysis of functionally graded sandwich beams by a multi-layer finite element, Compos. B Eng., 146, 198, 10.1016/j.compositesb.2018.04.011 Khalili, 2012, Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: a new approach, Eur. J. Mech. A Solid., 35, 61, 10.1016/j.euromechsol.2012.01.003 Kim, 2018, Nonlinear analysis of thin-walled Al/Al 2 O 3 FG sandwich I-beams with mono-symmetric cross-section, Eur. J. Mech. A Solid., 69, 55, 10.1016/j.euromechsol.2017.11.010 Li, 2018, Bending analysis of sandwich plates with different face sheet materials and functionally graded soft core, J. Thin-Walled Struct., 122, 8, 10.1016/j.tws.2017.09.033 Liu, 2017, Isogeometric analysis of laminated composite and functionally graded sandwich plates based on a layerwise displacement theory, Compos. Struct., 176, 143, 10.1016/j.compstruct.2017.05.037 Mehar, 2017, Thermoelastic nonlinear frequency analysis of CNT reinforced functionally graded sandwich structure, Eur. J. Mech. A Solid., 65, 384, 10.1016/j.euromechsol.2017.05.005 Mahi, 2015, A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates, Appl. Math. Model., 39, 2489, 10.1016/j.apm.2014.10.045 Mahmoudi, 2017, A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations, J. Sandw. Struct. Mater., 1 Mantari, 2016, Buckling, free vibration and bending analysis of functionally graded sandwich plates based on an optimized hyperbolic unified formulation, Int. J. Mech. Sci., 119, 170, 10.1016/j.ijmecsci.2016.10.015 Mazarei, 2016, Thermo-elasto-plastic analysis of thick-walled spherical pressure vessels made of functionally graded materials, Int. J. Appl. Mech., 8, 10.1142/S175882511650054X Merdaci, 2011, Two new refined shear displacement models for functionally graded sandwich plates, Arch. Appl. Mech., 81, 1507, 10.1007/s00419-010-0497-5 Neves, 2012, Static analysis of functionally graded sandwich plates according to a hyperbolic theory considering Zig-Zag and warping effects, Adv. Eng. Software, 52, 30, 10.1016/j.advengsoft.2012.05.005 Nguyen, 2014, A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates, Compos. B Eng., 66, 233, 10.1016/j.compositesb.2014.05.012 Nguyen, 2016, Static and vibration analysis of isotropic and functionally graded sandwich plates using an edge-based MITC3 finite elements, Compos. B Eng., 107, 162, 10.1016/j.compositesb.2016.09.058 Nguyen, 2016, A novel computational approach for functionally graded isotropic and sandwich plate structures based on a rotation-free meshfree method, J. Thin-Walled Struct., 107, 473, 10.1016/j.tws.2016.06.011 Nikbakht, 2017, Three dimensional analysis of functionally graded plates up to yielding, using full layer-wise finite element method, Compos. Struct., 182, 99, 10.1016/j.compstruct.2017.09.022 Ozturk, 2011, Elastic–plastic stress analysis in a long functionally graded solid cylinder with fixed ends subjected to uniform heat generation, Int. J. Eng. Sci., 49, 1047, 10.1016/j.ijengsci.2011.06.001 Pandey, 2015, Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory, Eur. J. Mech. A Solid., 51, 55, 10.1016/j.euromechsol.2014.12.001 Parvizi, 2011, Analysis of Al A359/SiCp functionally graded cylinder subjected to internal pressure and temperature gradient with elastic-plastic deformation, J. Therm. Stresses, 34, 1054, 10.1080/01495739.2011.605934 Reddy, 2004 Sadrabadi, 2017, Analytical solutions for yield onset achievement in FGM thick walled cylindrical tubes undergoing thermomechanical loads, Compos. B Eng., 116, 211, 10.1016/j.compositesb.2017.02.023 Shen, 2015, Nonlinear bending of FGM cylindrical panels resting on elastic foundations in thermal environments, Eur. J. Mech. A Solid., 49, 49, 10.1016/j.euromechsol.2014.06.007 1997 Shokrollahi, 2017, Elastic-plastic analysis of functionally graded spherical pressure vessels using strain gradient plasticity, Int. J. Appl. Mech., 9, 10.1142/S1758825117501186 Tamura, 1973, Strength and ductility of Fe–Ni–C alloys composed of austenite and martensite with various strength, vol. 1, 611 Taibi, 2015, A simple shear deformation theory for thermo-mechanical behaviour of functionally graded sandwich plates on elastic foundations, J. Sandw. Struct. Mater., 17, 99, 10.1177/1099636214554904 Thai, 2014, Analysis of functionally graded sandwich plates using a new first-order shear deformation theory, Eur. J. Mech. A Solid., 45, 211, 10.1016/j.euromechsol.2013.12.008 Thai, 2014, Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach, Comput. Struct., 141, 94, 10.1016/j.compstruc.2014.04.003 Thai, 2016, A simple four-unknown shear and normal deformations theory for functionally graded isotropic and sandwich plates based on isogeometric analysis, Compos. Struct., 139, 77, 10.1016/j.compstruct.2015.11.066 Thai, 2016, An improved Moving Kriging-based meshfree method for static, dynamic and buckling analyses of functionally graded isotropic and sandwich plates, Eng. Anal. Bound. Elem., 64, 122, 10.1016/j.enganabound.2015.12.003 Tounsi, 2013, A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates, Aero. Sci. Technol., 24, 209, 10.1016/j.ast.2011.11.009 Tsiatas, 2017, Elastic-plastic analysis of functionally graded bars under torsional loading, Compos. Struct., 176, 254, 10.1016/j.compstruct.2017.05.044 Van Do, 2017, A modified Kirchhoff plate theory for analyzing thermo-mechanical static and buckling responses of functionally graded material plates, J. Thin-Walled Struct., 117, 113, 10.1016/j.tws.2017.04.005 Woodward, 2011, 3D elasticity analysis of sandwich panels with graded core under distributed and concentrated loadings, Int. J. Mech. Sci., 53, 872, 10.1016/j.ijmecsci.2011.07.011 Xiang, 2016, An n th-order shear deformation theory for static analysis of functionally graded sandwich plates, J. Sandw. Struct. Mater., 18, 579, 10.1177/1099636216647928 Yang, 2016, A modified Fourier–Ritz solution for vibration and damping analysis of sandwich plates with viscoelastic and functionally graded materials, Int. J. Mech. Sci., 106, 1, 10.1016/j.ijmecsci.2015.11.031 Zenkour, 2010, Bending analysis of functionally graded sandwich plates under the effect of mechanical and thermal loads, Mech. Adv. Mater. Struct., 17, 419, 10.1080/15376494.2010.483323 Zenkour, 2010, Thermomechanical bending response of functionally graded nonsymmetric sandwich plates, J. Sandw. Struct. Mater., 12, 7, 10.1177/1099636209102264 Zenkour, 2013, Bending analysis of functionally graded sandwich plates using a simple four-unknown shear and normal deformations theory, J. Sandw. Struct. Mater., 15, 629, 10.1177/1099636213498886 Zenkour, 2012, Elastic foundation analysis of uniformly loaded functionally graded viscoelastic sandwich plates, J. Mech., 28, 439, 10.1017/jmech.2012.53 Zhang, 2013, The elastic-plastic analysis of functionally Graded Plate, Appl. Mech. Mater., 275, 1040