Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates

Lau, 2004, Stretching process of single- and multi-walled carbon nanotubes for nanocomposite applications, Carbon, 42, 426, 10.1016/j.carbon.2003.10.040 Esawi, 2007, Carbon nanotube reinforced composites: potential and current challenges, Mater Des, 28, 2394, 10.1016/j.matdes.2006.09.022 Thostenson, 2001, Advances in the science and technology of carbon nanotubes and their composites: a review, Compos Sci Technol, 61, 1899, 10.1016/S0266-3538(01)00094-X Griebel, 2004, Molecular dynamics simulations of the elastic moduli of polymer–carbon nanotube composites, Comput Methods Appl Mech Eng, 193, 1773, 10.1016/j.cma.2003.12.025 Fidelus, 2005, Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites, Composites: Part A, 36, 1555, 10.1016/j.compositesa.2005.02.006 Han, 2007, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Comput Mater Sci, 39, 315, 10.1016/j.commatsci.2006.06.011 Biercuk, 2002, Carbon nanotube composites for thermal management, Appl Phys Lett, 80, 2767, 10.1063/1.1469696 Bonnet, 2007, Thermal properties and percolation in carbon nanotube-polymer composites, J Appl Phys, 91, 201910 Zhu, 2007, Molecular dynamics study of the stress–strain behavior of carbon-nanotube reinforced Epon 862 composites, Mater Sci Eng A, 447, 51, 10.1016/j.msea.2006.10.054 Lourie, 1998, Buckling and collapse of embedded carbon nanotubes, Phys Rev Lett, 81, 1638, 10.1103/PhysRevLett.81.1638 Thostenson, 2004, Nanotube buckling in aligned multi-wall carbon nanotube composites, Carbon, 42, 3003, 10.1016/j.carbon.2004.06.012 Zhang, 2006, Observation of high buckling stability in carbon nanotube polymer composites, Adv Mater, 18, 452, 10.1002/adma.200501777 Hadjiev, 2006, Buckling instabilities of octadecylamine functionalized carbon nanotubes embedded in epoxy, Compos Sci Technol, 66, 128, 10.1016/j.compscitech.2005.01.004 Vodenitcharova, 2006, Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube, Int J Solids Struct, 43, 3006, 10.1016/j.ijsolstr.2005.05.014 Birman, 1995, Stability of functionally graded hybrid composite plates, Compos Eng, 5, 913, 10.1016/0961-9526(95)00036-M Feldman, 1997, Buckling analysis of functionally graded plates subjected to uniaxial loading, Compos Struct, 38, 29, 10.1016/S0263-8223(97)00038-X Na, 2004, Three-dimensional thermal buckling analysis of functionally graded materials, Composites: Part B, 35, 429, 10.1016/j.compositesb.2003.11.013 Na, 2006, Thermal postbuckling investigations of functionally graded plates using 3-D finite element method, Finite Elem Anal Des, 42, 749, 10.1016/j.finel.2005.11.005 Liew, 2004, Thermal post-buckling of laminated plates comprising functionally graded materials with temperature-dependent properties, J Appl Mech ASME, 71, 839, 10.1115/1.1795220 Park, 2006, Thermal postbuckling and vibration analyses of functionally graded plates, J Sound Vib, 289, 77, 10.1016/j.jsv.2005.01.031 Shen, 2007, Thermal postbuckling behavior of shear deformable FGM plates with temperature-dependent properties, Int J Mech Sci, 49, 466, 10.1016/j.ijmecsci.2006.09.011 Navazi, 2008, Nonlinear cylindrical bending analysis of shear deformable functionally graded plates under different loadings using analytical methods, Int J Mech Sci, 50, 1650, 10.1016/j.ijmecsci.2008.08.010 Shen, 2009, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Compos Struct, 91, 9, 10.1016/j.compstruct.2009.04.026 Ke, 2010, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Compos Struct, 92, 676, 10.1016/j.compstruct.2009.09.024 Seidel, 2006, Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites, Mech Mater, 38, 884, 10.1016/j.mechmat.2005.06.029 Li, 2007, Reinforcing mechanisms of single-walled carbon nanotube-reinforced polymer composites, J Nanosci Nanotechnol, 7, 2309, 10.1166/jnn.2007.410 Librescu, 2005, Thin-walled beams made of functionally graded materials and operating in a high temperature environment: vibration and stability, J Therm Stress, 28, 649, 10.1080/01495730590934038 Morimoto, 2003, Thermal buckling analysis of inhomogeneous rectangular plate due to uniform heat supply, J Therm Stress, 26, 1151, 10.1080/714050877 Huang, 1988, Large deflection of antisymmetric angle-ply laminates resulting from nonuniform temperature loadings, J Therm Stress, 11, 287, 10.1080/01495738808961937 Reddy, 1984, A simple higher-order theory for laminated composite plates, J Appl Mech ASME, 51, 745, 10.1115/1.3167719 Reddy, 1984, A refined nonlinear theory of plates with transverse shear deformation, Int J Solids Struct, 20, 881, 10.1016/0020-7683(84)90056-8 Shen, 2002, Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments, Int J Mech Sci, 44, 561, 10.1016/S0020-7403(01)00103-5 Shen, 2009 Leissa, 1986, Conditions for laminated plates to remain flat under inplane loading, Compos Struct, 6, 261, 10.1016/0263-8223(86)90022-X Qatu, 1993, Buckling or transverse deflections of unsymmetrically laminated plates subjected to in-plane loads, AIAA J, 31, 189, 10.2514/3.11336 Elliott, 2004, Collapse of single-wall carbon nanotubes is diameter dependent, Phys Rev Lett, 92, 095501, 10.1103/PhysRevLett.92.095501 Jin, 2003, Simulation of elastic properties of single-walled carbon nanotubes, Compos Sci Technol, 63, 1507, 10.1016/S0266-3538(03)00074-5 Chang, 2005, Chirality- and size-dependent elastic properties of single-walled carbon nanotubes, Appl Phys Lett, 87, 251929, 10.1063/1.2149216 Zhang, 2006, Buckling and postbuckling analysis of single-walled carbon nanotubes in thermal environments via molecular dynamics simulation, Carbon, 44, 2608, 10.1016/j.carbon.2006.04.037 Zhang, 2006, Temperature-dependent elastic properties of single-walled carbon nanotubes: prediction from molecular dynamics simulation, Appl Phys Lett, 89, 081904, 10.1063/1.2336622 Shen, 2006, Postbuckling prediction of axially loaded double-walled carbon nanotubes with temperature dependent properties and initial defects, Phys Rev B, 74, 035410, 10.1103/PhysRevB.74.035410 Shen, 2007, Postbuckling of double-walled carbon nanotubes with temperature dependent properties and initial defects under combined axial and radial mechanical loads, Int J Solids Struct, 44, 1461, 10.1016/j.ijsolstr.2006.06.027 Brenner, 2002, A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons, J Phys Condens Matter, 14, 783, 10.1088/0953-8984/14/4/312 Girifalco, 1956, Energy of cohesion, compressibility, and the potential energy functions of the graphite system, J Chem Phys, 25, 693, 10.1063/1.1743030 Hoover, 1985, Canonical dynamics: equilibrium phase-space distributions, Phys Rev A, 31, 1695, 10.1103/PhysRevA.31.1695 Fukuda, 1974, On Young’s modulus of short fibre composites, Fibre Sci Technol, 7, 207, 10.1016/0015-0568(74)90018-9 Song, 2006, Modeling of effective elastic properties for polymer based carbon nanotube composites, Polymer, 47, 1741, 10.1016/j.polymer.2006.01.013 Shen, 2001, Thermal postbuckling of shear deformable laminated plates with piezoelectric actuators, Compos Sci Technol, 61, 1931, 10.1016/S0266-3538(01)00099-9 Shen, 2000, Thermomechanical postbuckling of imperfect shear deformable laminated plates on elastic foundations, Comput Methods Appl Mech Eng, 189, 761, 10.1016/S0045-7825(99)00328-X Shen, 1999, Thermal postbuckling of imperfect shear deformable laminated plates on two-parameter elastic foundations, Mech Compos Mater Struct, 6, 207, 10.1080/107594199305539