A critical review of recent research on functionally graded plates

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Cheng, 2000, Three-dimensional thermoelastic deformations of a functionally graded elliptic plate, Composites Part B, 31, 97, 10.1016/S1359-8368(99)00069-4

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Yang, 2003, Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions, Composites Part B, 34, 103, 10.1016/S1359-8368(02)00083-5

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, 2005, Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings, Int J Solids Struct, 42, 6101, 10.1016/j.ijsolstr.2005.03.042

Huang, 2008, Benchmark solutions for functionally graded thick plates resting on Winkler Pasternak elastic foundations, Compos Struct, 85, 104

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

Zhong, 2003, Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate, Int J Solids Struct, 40, 5335, 10.1016/S0020-7683(03)00288-9

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Ma, 2003, Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings, Int J Solids Struct, 40, 3311, 10.1016/S0020-7683(03)00118-5

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Qian, 2004, Static and dynamic deformations of thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov–Galerkin method, Composites Part B, 35, 685, 10.1016/j.compositesb.2004.02.004

Qian, 2004, Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov–Galerkin method, Comput Mech, 33, 263, 10.1007/s00466-003-0527-z

Croce, 2004, Finite elements for functionally graded Reissner–Mindlin plates, Comput Methods Appl Mech Eng, 193, 705, 10.1016/j.cma.2003.09.014

Chinosi, 2007, Approximation of functionally graded plates with non-conforming finite elements, J Comput Appl Math, 210, 106, 10.1016/j.cam.2006.10.078

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Elishakoff, 2005, Three-dimensional flexure of rectangular plates made of functionally graded materials, ASME J Appl Mech, 72, 788, 10.1115/1.1985429

Ferreira, 2005, Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method, Compos Struct, 69, 449, 10.1016/j.compstruct.2004.08.003

Ferreira, 2007, Analysis of functionally graded plates by a robust meshless method, Mech Adv Mater Struct, 14, 577, 10.1080/15376490701672732

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Zenkour, 2005, A comprehensive analysis of functionally graded sandwich plates: Part 1-deflections and stresses, Int J Solids Struct, 42, 5224, 10.1016/j.ijsolstr.2005.02.015

Zenkour, 2006, Generalized shear deformation theory for bending analysis of functionally graded plates, Appl Math Model, 30, 67, 10.1016/j.apm.2005.03.009

Zenkour, 2007, Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate, Arch Appl Mech, 77, 197, 10.1007/s00419-006-0084-y

Zenkour, 2010, Hygro-thermo-mechanical effects on FGM plates resting on elastic foundations, Compos Struct, 93, 234, 10.1016/j.compstruct.2010.04.017

Yang, 2006, Imperfection sensitivity of the post buckling behavior of higher-order shear deformable functionally graded plates, Int J Solids Struct, 43, 5247, 10.1016/j.ijsolstr.2005.06.061

Bhangale, 2006, Static analysis of simply supported functionally graded and layered magneto-electro-elastic plates, Int J Solids Struct, 43, 3230, 10.1016/j.ijsolstr.2005.05.030

Prakash, 2006, Supersonic flutter characteristics of functionally graded flat panels including thermal effects, Compos Struct, 72, 10, 10.1016/j.compstruct.2004.10.007

GhannadPour, 2006, Large deflection behavior of functionally graded plates under pressure loads, Compos Struct, 75, 67, 10.1016/j.compstruct.2006.04.004

Hsieh, 2006, An inverse problem for a functionally graded elliptical plate with large deflection and slightly disturbed boundary, Int J Solids Struct, 43, 5981, 10.1016/j.ijsolstr.2005.07.029

Chi, 2006, Mechanical behavior of functionally graded material plates under transverse load-Part I: analysis, Int J Solids Struct, 43, 3657, 10.1016/j.ijsolstr.2005.04.011

Chi, 2006, Mechanical behavior of functionally graded material plates under transverse load-Part II: numerical results, Int J Solids Struct, 43, 3675, 10.1016/j.ijsolstr.2005.04.010

Chung, 2007, Bending behavior of FGM-coated and FGM-undercoated plates with two simply supported opposite edges and two free edges, Compos Struct, 81, 157, 10.1016/j.compstruct.2006.08.006

Navazi, 2006, An analytical solution for nonlinear cylindrical bending of functionally graded plates, Thin Wall Struct, 44, 1129, 10.1016/j.tws.2006.10.013

Pai, 2007, Two-Dimensional sublamination theory for analysis of functionally graded plates, J Sound Vib, 308, 164, 10.1016/j.jsv.2007.07.027

Sladek, 2007, Analysis of thick functionally graded plates by local integral equation, Commun Numer Meth Eng, 23, 733, 10.1002/cnm.923

Chung, 2007, The flexibility of functionally graded material plates subjected to uniform loads, J Mech Mater Struct, 2, 63, 10.2140/jomms.2007.2.63

Abrate, 2006, Free vibration, buckling, and static deflections of functionally graded plates, Compos Sci Technol, 66, 2383, 10.1016/j.compscitech.2006.02.032

Abrate, 2008, Functionally graded plates behave like homogeneous plates, Composites Part B, 39, 151, 10.1016/j.compositesb.2007.02.026

Zhang, 2008, A theoretical analysis of FGM thin plates based on physical neutral surface, Comput Mater Sci, 44, 716, 10.1016/j.commatsci.2008.05.016

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Khabbaz, 2009, Nonlinear analysis of FGM plates under pressure loads using the higher-order shear deformation theories, Compos Struct, 89, 333, 10.1016/j.compstruct.2008.06.009

Aghdam, 2010, A semi-analytical solution for bending of moderately thick curved functionally graded panels, Mech Adv Mater Struct, 17, 320, 10.1080/15376494.2010.488519

Alibeigloo, 2010, Exact solution for thermo-elastic response of functionally graded rectangular plates, Compos Struct, 92, 113, 10.1016/j.compstruct.2009.07.003

Alibeigloo, 2011, Elasticity solution of functionally graded circular and annular plates integrated with sensor and actuator layers using differential quadrature, Compos Struct, 93, 2473, 10.1016/j.compstruct.2011.04.003

Vaghefi, 2010, Three-dimensional static analysis of thick functionally graded plates by using meshless local Petrov–Galerkin (MLPG) method, Eng Analy Boun Elem, 34, 564, 10.1016/j.enganabound.2010.01.005

Sepahi, 2010, Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM, Compos Struct, 92, 2369, 10.1016/j.compstruct.2010.03.011

Cheng, 2010, Three-dimensional static analyses for FGM plates with medium componenets and different net structures, Acta Mech Solida Sin, 23, 167, 10.1016/S0894-9166(10)60018-3

Abdelaziz, 2011, Static analysis of functionally graded sandwich plates using an efficient and simple refined theory, Chin J Aeronaut, 24, 434, 10.1016/S1000-9361(11)60051-4

Shimpi, 2002, Refined plate theory and its variants, AIAA J, 40, 137, 10.2514/2.1622

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

Carrera, 2011, Effects of thickness stretching in functionally graded plates and shells, Composites Part B, 42, 123, 10.1016/j.compositesb.2010.10.005

Carrera, 2008, Variable kinematic model for the analysis of functionally graded material plates, AIAA J, 46, 194, 10.2514/1.32490

Brischetto, 2009, Classical and mixed advanced models for sandwich plates embedding functionally graded cores, J Mech Mater Struct, 4, 13, 10.2140/jomms.2009.4.13

Brischetto, 2010, Advanced mixed theories for bending analysis of functionally graded plates, Comput Struct, 88, 1474, 10.1016/j.compstruc.2008.04.004

Wu, 2010, An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates, Compos Struct, 92, 2591, 10.1016/j.compstruct.2010.01.022

Wu, 2010, The RMVT and PVD based finite layer methods for the three-dimensional analysis of multilayered composite and FGM plates, Compos Struct, 92, 2476, 10.1016/j.compstruct.2010.03.001

Neves, 2011, Bending of FGM plates by a sinusoidal plate formulation and collocation with radial basis functions, Mech Res Commun, 38, 368, 10.1016/j.mechrescom.2011.04.011

Neves, 2012, A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates, Composites Part B, 43, 711, 10.1016/j.compositesb.2011.08.009

Neves, 2012, A quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates, Compos Struct, 94, 1814, 10.1016/j.compstruct.2011.12.005

Singha, 2011, Finite element analysis of functionally graded plates under transverse load, Finite Elem Anal Des, 47, 453, 10.1016/j.finel.2010.12.001

Golmakani, 2011, Large deflection analysis of circular and annular FGM plates under thermo-mechanical loadings with temperature-dependent properties, Composites Part B, 42, 614, 10.1016/j.compositesb.2011.02.018

Golmakani, 2011, Nonlinear bending analysis of annular FGM plates using higher-order shear deformation plate theories, Compos Struct, 93, 973, 10.1016/j.compstruct.2010.06.024

Wen, 2011, Three-dimensional analysis of functionally graded plates, Int J Numer Meth Eng, 87, 923, 10.1002/nme.3139

Mantari, 2012, Bending response of functionally graded plates by using a new higher order shear deformation theory, Compos Struct, 94, 714, 10.1016/j.compstruct.2011.09.007

Akbarzadeh, 2012, Coupled thermoelasticity of functionally graded plates based on the third-order shear deformation theory, Thin Wall Struct, 53, 141, 10.1016/j.tws.2012.01.009

Cheng, 2000, Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates, J Sound Vib, 229, 879, 10.1006/jsvi.1999.2525

Yang, 2001, Dynamic response of functionally graded rectangular thin plates, Compos Struct, 54, 497, 10.1016/S0263-8223(01)00122-2

Yang, 2002, Vibration charecterestics and transient response of shear-deformable functionally graded plates in thermal environments, J Sound Vib, 255, 579, 10.1006/jsvi.2001.4161

Yang, 2004, Dynamic stability of laminated FGM plates based on higher-order shear deformation theory, Comput Mech, 33, 305, 10.1007/s00466-003-0533-1

Yang, 2005, Second-order statistics of the elastic buckling of functionally graded rectangular plates, Compos Sci Technol, 65, 1165, 10.1016/j.compscitech.2004.11.012

Yang, 2007, Nonlinear transient response of functionally graded plates with general imperfections in thermal environments, Comput Methods Appl Mech Eng, 196, 2619, 10.1016/j.cma.2007.01.012

Kim, 2005, Temperature dependent vibration analysis of functionally graded rectangular plates, J Sound Vib, 284, 531, 10.1016/j.jsv.2004.06.043

He, 2001, Active control of FGM plates with integrated piezoelectric sensors and actuators, Int J Solids Struct, 38, 1641, 10.1016/S0020-7683(00)00050-0

Javaheri, 2002, Buckling of functionally graded plates under in-plane compressive loading, ZAMM J, 82, 277, 10.1002/1521-4001(200204)82:4<277::AID-ZAMM277>3.0.CO;2-Y

Javaheri, 2002, Thermal buckling of functionally graded plates, AIAA J, 40, 162, 10.2514/2.1626

Javaheri, 2003, Thermal buckling of functionally graded plates based on higher order theory, J Therm Stresses, 25, 603, 10.1080/01495730290074333

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

Na, 2006, Nonlinear response of functionally graded plates under thermal loads, J Thermal Stresses, 29, 245, 10.1080/01495730500360427

Najafizadeh, 2002, First-order-theory based thermoelastic stability of functionally graded material circular plates, AIAA J, 40, 1444, 10.2514/2.1807

Najafizadeh, 2002, Buckling analysis of circular plates of functionally graded material under uniform radial compression, Int J Mech Sci, 44, 2479, 10.1016/S0020-7403(02)00186-8

Chen, 2004, Buckling of rectangular functionally graded material plates subjected to nonlinearly distributed in-plane edge loads, Smart Mater Struct, 13, 1430, 10.1088/0964-1726/13/6/014

Chen, 2008, Stability of piezoelectric FGM rectangular plates subjected to non-uniformly distributed load, heat and voltage, Adv Eng Softw, 39, 121, 10.1016/j.advengsoft.2006.12.004

Vel, 2004, Three-dimensional exact solution for the vibration of functionally graded rectangular plates, J Sound Vib, 272, 703, 10.1016/S0022-460X(03)00412-7

Qian, 2004, Transient thermoelastic deformations of a thick functionally graded plate, J of Thermal Stresses, 27, 705, 10.1080/01495730490440145

Batra, 2002, Higher-order piezoelectric plate theory derived from a three-dimensional variational principle, AIAA J, 40, 91, 10.2514/2.1618

Yang, 2006, Stochastic analysis of computationally graded plates with system randomness under static Loading, Int J Solids Struct, 47, 1519

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

Sundararajan, 2005, Nonlinear free flexural vibrations of functionally graded rectangular and skew plates under thermal environments, Finite Elem Anal Des, 42, 152, 10.1016/j.finel.2005.06.001

Bhangale, 2006, Free vibration of simply supported functionally graded and layered magneto-electro-elastic plates by finite element method, J Sound Vib, 294, 1016, 10.1016/j.jsv.2005.12.030

Ferreira, 2006, Natural frequencies of functionally graded plates by a meshless method, Compos Struct, 75, 593, 10.1016/j.compstruct.2006.04.018

Woo, 2006, Nonlinear free vibration behavior of functionally graded plates, J Sound Vib, 289, 595, 10.1016/j.jsv.2005.02.031

Ganapathi, 2006, Thermal buckling of simply supported functionally graded skew plates, Compos Struct, 74, 247, 10.1016/j.compstruct.2005.04.004

Prakash, 2006, Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method, Composites Part B, 37, 642, 10.1016/j.compositesb.2006.03.005

Prakash, 2008, Thermal postbuckling analysis of FGM skew plates, Eng Struct, 30, 22, 10.1016/j.engstruct.2007.02.012

Prakash, 2009, Thermal snapping of functionally graded materials plates, Mater Des, 30, 4532, 10.1016/j.matdes.2009.05.008

Prakash, 2012, A finite element study on the large amplitude flexural vibration characteristics of FGM plates under aerodynamic load, Int J Non-Linear Mechanics., 47, 439, 10.1016/j.ijnonlinmec.2011.08.004

Wu, 2007, Post-buckling analysis of functionally graded rectangular plates, Compos Struct, 81, 1, 10.1016/j.compstruct.2005.08.026

Wu, 2010, Three-dimensional static behavior of functionally graded magneto-electro-elastic plates using the modified Pagano method, Mech Res Commun, 37, 54, 10.1016/j.mechrescom.2009.10.003

Lanhe, 2007, Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method, Compos Struct, 77, 383, 10.1016/j.compstruct.2005.07.011

Uymaz, 2007, Three–dimensional vibration analyses of functionally graded plates under various boundary conditions, J Reinf Plast Compos, 26, 1847, 10.1177/0731684407081351

Efraim, 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, J Sound Vib, 299, 720, 10.1016/j.jsv.2006.06.068

Matsunaga, 2008, Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory, Compos Struct, 82, 499, 10.1016/j.compstruct.2007.01.030

Khorramabadi, 2008, Effect of shear theories on free vibration of functionally graded plates, World Acad Sci Eng Technol, 48, 216

Ebrahimi, 2008, An analytical study on the free vibration of smart circular thin FGM plate based on classical plate theory, Thin Wall Struct, 46, 1402, 10.1016/j.tws.2008.03.008

Ebrahimi, 2009, A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate, Eur J Mech A/Solids, 28, 962, 10.1016/j.euromechsol.2008.12.008

Aydogdu, 2008, Conditions for functionally graded plates to remain flat under in-plane loads by classical plate theory, Compos Struct, 82, 155, 10.1016/j.compstruct.2006.10.004

Allahverdizadeh, 2008, Nonlinear free and forced vibration analysis of thin circular functionally graded plates, J Sound Vib, 310, 966, 10.1016/j.jsv.2007.08.011

Allahverdizadeh, 2008, Vibration amplitude and thermal effects on the nonlinear behavior of thin circular functionally graded plates, Int J Mech Sci, 50, 445, 10.1016/j.ijmecsci.2007.09.018

Li, 2009, Three-dimensional vibration analysis of functionally graded material plates in thermal environment, J Sound Vib, 324, 733, 10.1016/j.jsv.2009.02.036

Shariyat, 2009, Vibration and dynamic buckling control of imperfect hybrid FGM plates with temperature-dependent material properties subjected to thermo-electro-mechanical loading conditions, Compos Struct, 88, 240, 10.1016/j.compstruct.2008.04.003

Bouazza, 2010, Thermoelastic stability analysis of functionally graded plates: an analytical approach, Comput Mater Sci, 49, 865, 10.1016/j.commatsci.2010.06.038

Lee, 2010, Postbuckling analysis of functionally graded plates subject to compressive and thermal loads, Comput Methods Appl Mech Eng, 199, 1645, 10.1016/j.cma.2010.01.008

Liu, 2010, Free vibration of FGM plates with in-plane material inhomogeneity, Compos Struct, 92, 1047, 10.1016/j.compstruct.2009.10.001

Talha, 2010, Static response and free vibration analysis of FGM plates using higher order shear deformation theory, Appl Math Model, 34, 3991, 10.1016/j.apm.2010.03.034

Gunes, 2010, Free vibration analysis of adhesively bonded single lap joints with wide and narrow functionally graded plates, Compos Struct, 92, 1, 10.1016/j.compstruct.2009.06.003

Hoang, 2010, Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads, Compos Struct, 92, 1184, 10.1016/j.compstruct.2009.10.015

Nguyen, 2011, Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations, Compos Struct, 93, 2874, 10.1016/j.compstruct.2011.05.017

Jalali, 2010, Thermal stability analysis of circular functionally graded sandwich plates of variable thickness using pseudo-spectral method, Mater Des, 31, 4755, 10.1016/j.matdes.2010.05.009

Hashemi, 2010, Closed-form vibration analysis of thick annular functionally graded plates with integrated piezoelectric layers, Int J Mech Sci, 52, 410, 10.1016/j.ijmecsci.2009.10.016

Hashemi, 2012, On the effects of coupling between in-plane and out-of-plane vibrating modes of smart functionally graded circular/annular plates, Appl Math Model, 36, 1132, 10.1016/j.apm.2011.07.051

Fakhari, 2011, Nonlinear free and forced vibration behavior of functionally graded plate with piezoelectric layers in thermal environment, Compos Struct, 93, 2310, 10.1016/j.compstruct.2011.03.019

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