Nonlinear stability and vibration of pre/post-buckled multilayer FG-GPLRPC rectangular plates

Sahoo, 2010, Polymer nanocomposites based on functionalized carbon nanotubes, Progr. Polym. Sci., 35, 837, 10.1016/j.progpolymsci.2010.03.002 Xie, 2005, Dispersion and alignment of carbon nanotubes in polymer matrix: a review, Mater. Sci. Eng. R Rep., 49, 89, 10.1016/j.mser.2005.04.002 Liu, 2014, Synthesis and characterization of graphene and carbon nanotubes: a review on the past and recent developments, J. Ind. Eng. Chem., 20, 1171, 10.1016/j.jiec.2013.08.028 Lim, 2014, Carbon-based drug delivery carriers for cancer therapy, Arch. Pharm. Res., 37, 43, 10.1007/s12272-013-0277-1 Jang, 2008, Processing of nanographene platelets (NGPs) and NGP nanocomposites: a review, J. Mater. Sci., 43, 5092, 10.1007/s10853-008-2755-2 Yang, 2011, Synergetic effects of graphene platelets and carbon nanotubes on the mechanical and thermal properties of epoxy composites, Carbon, 49, 793, 10.1016/j.carbon.2010.10.014 Potts, 2011, Graphene-based polymer nanocomposites, Polymer, 52, 5, 10.1016/j.polymer.2010.11.042 Mittal, 2015, A review on carbon nanotubes and graphene as fillers in reinforced polymer nanocomposites, J. Ind. Eng. Chem., 21, 11, 10.1016/j.jiec.2014.03.022 Tan, 2016, A review of the water barrier properties of polymer/clay and polymer/graphene nanocomposites, J. Memb. Sci., 514, 595, 10.1016/j.memsci.2016.05.026 Duc, 2017, Thermal and mechanical stability of functionally graded carbon nanotubes (FG CNT)-reinforced composite truncated conical shells surrounded by the elastic foundations, Thin Walled Struct., 115, 300, 10.1016/j.tws.2017.02.016 Guo, 2016, Nonlinear vibrations of a reinforced composite plate with carbon nanotubes, Compos. Struct., 135, 96, 10.1016/j.compstruct.2015.08.063 Thang, 2017, A new approach for nonlinear buckling analysis of imperfect functionally graded carbon nanotube-reinforced composite plates, Compos. Part B Eng., 127, 166, 10.1016/j.compositesb.2016.12.002 Mirzaei, 2016, Nonlinear free vibration of temperature-dependent sandwich beams with carbon nanotube-reinforced face sheets, Acta Mech., 227, 1869, 10.1007/s00707-016-1593-6 Ansari, 2016, Analytical solution for nonlinear postbuckling of functionally graded carbon nanotube-reinforced composite shells with piezoelectric layers, Compos. Part B Eng., 90, 267, 10.1016/j.compositesb.2015.12.012 Mehri, 2016, On dynamic instability of a pressurized functionally graded carbon nanotube reinforced truncated conical shell subjected to yawed supersonic airflow, Compos. Struct., 153, 938, 10.1016/j.compstruct.2016.07.009 Nejati, 2017, Thermal buckling of nanocomposite stiffened cylindrical shells reinforced by functionally graded wavy carbon nanotubes with temperature-dependent properties, Appl. Sci., 7, 1223, 10.3390/app7121223 Banić, 2017, Influence of winkler-pasternak foundation on the vibrational behavior of plates and shells reinforced by agglomerated carbon nanotubes, Appl. Sci., 7, 1228, 10.3390/app7121228 Wu, 2017, Imperfection sensitivity of thermal post-buckling behaviour of functionally graded carbon nanotube-reinforced composite beams, Appl. Math. Modell., 42, 735, 10.1016/j.apm.2016.10.045 Lin, 2014, Numerical analysis on nonlinear free vibration of carbon nanotube reinforced composite beams, Int. J. Struct. Stab. Dyn., 14, 10.1142/S0219455413500569 Formica, 2010, Vibrations of carbon nanotube-reinforced composites, J. Sound Vib., 329, 1875, 10.1016/j.jsv.2009.11.020 Shen, 2011, Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells, Compos. Struct., 93, 2096, 10.1016/j.compstruct.2011.02.011 Shen, 2015, Nonlinear response of nanotube-reinforced composite cylindrical panels subjected to combined loadings and resting on elastic foundations, Compos. Struct., 131, 939, 10.1016/j.compstruct.2015.06.042 Shen, 2015, Thermal postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations, Compos. Struct., 123, 383, 10.1016/j.compstruct.2014.12.059 Shen, 2017, Vibration of thermally postbuckled sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations, Int. J. Mech. Sci., 124, 253, 10.1016/j.ijmecsci.2017.03.015 Lei, 2013, Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment, Compos. Struct., 106, 128, 10.1016/j.compstruct.2013.06.003 Wu, 2016, Three-dimensional free vibration analysis of functionally graded carbon nanotube-reinforced composite plates with various boundary conditions, J. Vib. Control, 22, 89, 10.1177/1077546314528367 Kiani, 2018, Free vibration study of composite conical panels reinforced with FG-CNTs, Eng. Struct., 172, 472, 10.1016/j.engstruct.2018.06.006 Tornabene, 2017, Multiscale approach for three‐phase CNT/polymer/fiber laminated nanocomposite structures, Polymer Compos. Thanh, 2017, Nonlinear dynamic response and vibration of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) shear deformable plates with temperature-dependent material properties and surrounded on elastic foundations, J. Therm. Stresses, 40, 1254, 10.1080/01495739.2017.1338928 Setoodeh, 2016, Application of TW-DQ method to nonlinear free vibration analysis of FG carbon nanotube-reinforced composite quadrilateral plates, Thin-Walled Struct., 108, 1, 10.1016/j.tws.2016.07.019 Gholami, 2017, Nonlinear resonant dynamics of geometrically imperfect higher-order shear deformable functionally graded carbon-nanotube reinforced composite beams, Compos. Struct., 174, 45, 10.1016/j.compstruct.2017.04.042 Ansari, 2016, Nonlinear primary resonance of third-order shear deformable functionally graded nanocomposite rectangular plates reinforced by carbon nanotubes, Compos. Struct., 154, 707, 10.1016/j.compstruct.2016.07.023 Fu, 2016, Analysis of nonlinear dynamic stability for carbon nanotube-reinforced composite plates resting on elastic foundations, Mech. Adv. Mater. Struct., 23, 1284, 10.1080/15376494.2015.1068404 Shen, 2017, Nonlinear vibration of compressed and thermally postbuckled nanotube-reinforced composite plates resting on elastic foundations, Aerosp. Sci. Technol., 64, 63, 10.1016/j.ast.2017.01.017 Wang, 2018, Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout, Compos. Struct., 197, 72, 10.1016/j.compstruct.2018.05.056 Wu, 2017, Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment, Compos. Struct., 162, 244, 10.1016/j.compstruct.2016.12.001 Feng, 2017, Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs), Eng. Struct., 140, 110, 10.1016/j.engstruct.2017.02.052 Feng, 2017, Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs), Compos. Part B Eng., 110, 132, 10.1016/j.compositesb.2016.11.024 Song, 2017, Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Compos. Struct., 159, 579, 10.1016/j.compstruct.2016.09.070 Zhao, 2017, Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs), Compos. Struct., 180, 799, 10.1016/j.compstruct.2017.08.044 Yang, 2017, Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity, Meccanica, 52, 2275, 10.1007/s11012-016-0579-8 Shen, 2018, Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical panels under axial compression in thermal environments, Int. J. Mech. Sci., 135, 398, 10.1016/j.ijmecsci.2017.11.031 Shen, 2018, Nonlinear vibration of functionally graded graphene-reinforced composite laminated cylindrical panels resting on elastic foundations in thermal environments, Compos. Part B Eng., 136, 177, 10.1016/j.compositesb.2017.10.032 Yang, 2017, 3D thermo-mechanical bending solution of functionally graded graphene reinforced circular and annular plates, Appl. Math. Modell., 49, 69, 10.1016/j.apm.2017.04.044 Yang, 2018, 3D thermo-mechanical solution of transversely isotropic and functionally graded graphene reinforced elliptical plates, Compos. Struct., 184, 1040, 10.1016/j.compstruct.2017.09.086 Song, 2017, Buckling and postbuckling of biaxially compressed functionally graded multilayer graphene nanoplatelet-reinforced polymer composite plates, Int. J. Mech. Sci., 131, 345, 10.1016/j.ijmecsci.2017.07.017 Wu, 2017, Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates, Mater. Des., 132, 430, 10.1016/j.matdes.2017.07.025 Gholami, 2018, Nonlinear harmonically excited vibration of third-order shear deformable functionally graded graphene platelet-reinforced composite rectangular plates, Eng. Struct., 156, 197, 10.1016/j.engstruct.2017.11.019 Faghih Shojaei, 2017, Variational differential quadrature: A technique to simplify numerical analysis of structures, Appl. Math. Model., 49, 705, 10.1016/j.apm.2017.02.052 Affdl, 1976, The Halpin‐Tsai equations: a review, Polym. Eng. Sci., 16, 344, 10.1002/pen.760160512 Hull, 1996 Panc, 1975, 2 Reissner, 1975, On transverse bending of plates, including the effect of transverse shear deformation, Int. J.Solids Struct., 11, 569, 10.1016/0020-7683(75)90030-X Shimpi, 2006, A two variable refined plate theory for orthotropic plate analysis, Int. J. Solids Struct., 43, 6783, 10.1016/j.ijsolstr.2006.02.007 Ansari, 2016, Surface effect on the large amplitude periodic forced vibration of first-order shear deformable rectangular nanoplates with various edge supports, Acta Astronautica, 118, 72, 10.1016/j.actaastro.2015.09.020 Ansari, 2015, Three-dimensional bending and vibration analysis of functionally graded nanoplates by a novel differential quadrature-based approach, Compos. Struct., 131, 753, 10.1016/j.compstruct.2015.06.027 Rao, 2011, 4 Keller, 1977, Numerical solution of bifurcation and nonlinear eigenvalue problems, Appl. Bifurc. Theory, 359 Li, 2004, Free vibration of heated Euler–Bernoulli beams with thermal postbuckling deformations, J. Thermal Stresses, 27, 843, 10.1080/01495730490486352 Li, 2007, Vibration of thermally post-buckled orthotropic circular plates, J. Thermal Stresses, 30, 43, 10.1080/01495730600897161 Ansari, 2016, Size-dependent modeling of the free vibration characteristics of postbuckled third-order shear deformable rectangular nanoplates based on the surface stress elasticity theory, Compos. Part B Eng., 95, 301, 10.1016/j.compositesb.2016.04.002 Yasmin, 2004, Mechanical and thermal properties of graphite platelet/epoxy composites, Polymer, 45, 8211, 10.1016/j.polymer.2004.09.054 Rafiee, 2009, Enhanced mechanical properties of nanocomposites at low graphene content, ACS Nano, 3, 3884, 10.1021/nn9010472 Liu, 2007, Ab initio calculation of ideal strength and phonon instability of graphene under tension, Phys. Rev. B, 76, 10.1103/PhysRevB.76.064120 Wu, 2018, Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates, Int. J. Mech. Sci., 135, 431, 10.1016/j.ijmecsci.2017.11.039 Bert, 1996, Differential quadrature method in computational mechanics: a review, Appl. Mech. Rev., 49, 1, 10.1115/1.3101882