Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets

Vinson, 2001, Sandwich structures, Appl Mech Rev, 54, 201, 10.1115/1.3097295 Rossi, 2001, Design, fabrication and modelling of MEMS-based microthrusters for space application, Smart Mater Struct, 10, 1156, 10.1088/0964-1726/10/6/304 Yang, 2001, Nonlinear local response of foam-filled sandwich plates with laminated faces under combined transverse and in-plane loads, Compos Struct, 52, 137, 10.1016/S0263-8223(00)00161-6 Dafedar, 2003, Stability of sandwich plates by mixed, higher-order analytical formulation, Int J Solids Struct, 40, 4501, 10.1016/S0020-7683(03)00283-X Zenkour, 2005, A comprehensive analysis of functionally graded sandwich plates: part 2 – buckling and free vibration, Int J Solids Struct, 42, 5243, 10.1016/j.ijsolstr.2005.02.016 Li, 2008, Three-dimensional vibration analysis of functionally graded material sandwich plates, J Sound Vib, 311, 498, 10.1016/j.jsv.2007.09.018 Shen, 2008, Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties, Composites Part B, 39, 332, 10.1016/j.compositesb.2007.01.004 Xia, 2008, Vibration of post-buckled sandwich plates with FGM face sheets in a thermal environment, J Sound Vib, 314, 254, 10.1016/j.jsv.2008.01.019 Sun, 2005, Axial Young’s modulus prediction of single-walled carbon nanotube arrays with diameters from nanometer to meter scales, Appl Phys Lett, 87, 193101, 10.1063/1.2119409 Wuite, 2005, Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis, Compos Struct, 71, 388, 10.1016/j.compstruct.2005.09.011 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 Formica, 2010, Vibrations of carbon nanotube-reinforced composites, J Sound Vib, 329, 1875, 10.1016/j.jsv.2009.11.020 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 Qian, 2000, Load transfer and deformation mechanisms in carbon nanotube–polystyrene composites, Appl Phys Lett, 76, 2868, 10.1063/1.126500 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 Shen, 2010, Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments, Comput Mater Continua, 18, 155 Shen, 2010, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Mater Des, 31, 3403, 10.1016/j.matdes.2010.01.048 Ke, 2010, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Compos Struct, 92, 676, 10.1016/j.compstruct.2009.09.024 Wang, 2011, Nonlinear vibration of nanotube-reinforced composite plates in thermal environments, Comput Mater Sci, 50, 2319, 10.1016/j.commatsci.2011.03.005 Starovoytov, 2010, Cylindrical bending of an elastic rectangular sandwich plate on a deformable foundation, Mech Compos Mater, 46, 57, 10.1007/s11029-010-9126-1 Paul, 2008, Polymer nanotechnology: nanocomposites, Polymer, 49, 3187, 10.1016/j.polymer.2008.04.017 Meguid, 2004, On the tensile and shear strength of nano-reinforced composite interfaces, Mater Des, 25, 289, 10.1016/j.matdes.2003.10.018 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, 1997, Kármán-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis, Appl Math Mech, 18, 1137, 10.1007/BF00713716 Shen, 2010, Nonlinear bending of FGM plates subjected to combined loading and resting on elastic foundations, Compos Struct, 92, 2517, 10.1016/j.compstruct.2010.02.010 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, 2007, Nonlinear thermal bending response of FGM plates due to heat conduction, Composites Part B, 38, 201, 10.1016/j.compositesb.2006.06.004 Zhang, 2005, Thermal effects on interfacial stress transfer characteristics of carbon nanotubes/polymer composites, Int J Solids Struct, 42, 5399, 10.1016/j.ijsolstr.2005.02.038 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 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 Song, 2006, Modeling of effective elastic properties for polymer based carbon nanotube composites, Polymer, 47, 1741, 10.1016/j.polymer.2006.01.013 Touloukian, 1967 Leissa, 1973, The free vibration of rectangular plates, J Sound Vib, 31, 257, 10.1016/S0022-460X(73)80371-2 Bardell, 1989, The application of symbolic computing to the hierarchical finite element method, Int J Numer Methods Eng, 28, 1181, 10.1002/nme.1620280513 Wang, 1998, Static and free vibrational analysis of rectangular plates by the differential quadrature element method, Commun Numer Methods Eng, 14, 1133, 10.1002/(SICI)1099-0887(199812)14:12<1133::AID-CNM213>3.0.CO;2-Q Xiang, 1996, Buckling and vibration of thick laminates on Pasternak foundations, J Eng Mech ASCE, 122, 54, 10.1061/(ASCE)0733-9399(1996)122:1(54) Singh, 1974, Large amplitude vibration of some moderately thick structural elements, J Sound Vib, 36, 375, 10.1016/S0022-460X(74)80217-8 Sathymoorthy, 1979, Effects of large amplitude shear and rotatory inertia on vibration of rectangular plates, J Sound Vib, 63, 161, 10.1016/0022-460X(79)90873-3 Chen, 1983, Large amplitude vibration of an initially stressed moderately thick plate, J Sound Vib, 89, 499, 10.1016/0022-460X(83)90351-6 Chen, 2002, Large amplitude vibration of an initially stressed cross ply laminated plates, Appl Acoust, 63, 939, 10.1016/S0003-682X(02)00015-4 Bhimaraddi, 1993, Large amplitude vibrations of imperfect antisymmetric angle-ply laminated plates, J Sound Vib, 162, 457, 10.1006/jsvi.1993.1133