journal article·2013-02

A critical review of recent research on functionally graded plates

D.K. Jha, Tarun Kant, R.K. Singh

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Abstract

In view of the significant increase in research activity and publications in functionally graded materials (FGMs) and structures in the last few years, the present article is an attempt to identify and highlight the topics that are most relevant to FGMs and structures and review representative journal publications that are related to those topics. A critical review of the reported studies in the area of thermo-elastic and vibration analyses of functionally graded (FG) plates with an emphasis on the recent works published since 1998. Because of the extensive growth in the body of knowledge in FGMs in the last two decades, it is prudent to reduce the review to a manageable level by concentrating on the FG plate problems only. The review carried out here, is concerned with deformation, stress, vibration and stability problems of FG plates. This review is intended to give the readers a feel for the variety of studies and applications related to graded composites. An effort has been made here, to include all the important contributions in the current area of interest. The critical areas regarding future research needs for the successful implementation of FGM in design are outlined in the conclusions.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (100+)

Show source-provided references
1. The concept of FGM
2. Small and large deformation of thick and thin-film multilayers: effect of layer geometry, plasticity and compositional gradients10.1016/0022-5096(96)84548-0 ↗
3. Graded EB-PVD alumina–zirconia thermal barrier coatings-an experimental approach10.4028/www.scientific.net/MSF.308-311.396 ↗
4. Functionally graded materials: bulk processing techniques10.1504/IJMPT.2010.034257 ↗
5. A self-consistent mechanics of composite materials10.1016/0022-5096(65)90010-4 ↗
6. Assessment of the self consistent scheme approximation: conductivity of composites10.1177/002199836800200302 ↗
7. Assessment of the self consistent scheme approximation: conductivity of composites
8. Average stress in matrix and average elastic energy of materials with misfitting inclusions10.1016/0001-6160(73)90064-3 ↗
9. A new approach to the application of Mori–Tanaka’s theory in composite materials10.1016/0167-6636(87)90005-6 ↗
10. The elastic moduli of heterogeneous materials10.1115/1.3636446 ↗
11. A variational approach to the theory of elastic behaviour of multiphase materials10.1016/0022-5096(63)90060-7 ↗
12. The elastic moduli of fiber-reinforced materials10.1115/1.3629590 ↗
13. Analysis of properties of fiber composites with anisotropic constituents10.1115/1.3424603 ↗
14. Critique on theories predicting thermoelastic properties of fibrous composites10.1177/002199836800200305 ↗
15. Gibson · 1994
16. Aboudi · 1991
17. Micromechanical models for graded composite materials10.1016/S0022-5096(97)00007-0 ↗
18. Assessment of simplified composite micromechanics using three dimensional finite element analysis10.1520/CTR10326J ↗
19. Suresh · 1998
20. Exact solutions for composite laminates in cylindrical bending10.1177/002199836900300304 ↗
21. Exact solutions for rectangular bidirectional composites and sandwich plates10.1177/002199837000400102 ↗
22. Bending, vibration and buckling of simply supported thick orthotropic plates and laminates10.1016/0020-7683(70)90076-4 ↗
23. An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates10.1016/0022-460X(70)90089-1 ↗
24. Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluations10.1016/0020-7683(88)90090-X ↗
25. Flexure analysis of laminated composites using refined higher-order Co plate bending elements10.1016/0045-7825(88)90075-8 ↗
26. Finite element stress analysis of laminated composite plates using higher order displacement model10.1016/0266-3538(88)90003-6 ↗
27. Estimation of interlaminar stresses in fibre reinforced composite cylindrical shells10.1016/0045-7949(91)90092-Z ↗
28. On accurate estimation of transverse stresses in multilayer laminates10.1016/0045-7949(94)90005-1 ↗
29. Reddy · 1997
30. Free vibration of isotropic, orthotropic, and multilayer plates based on higher order refined theories10.1006/jsvi.2000.3232 ↗
31. Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory10.1016/S0263-8223(02)00017-X ↗
32. FGM activities in Japan10.1016/S1359-8368(96)00016-9 ↗
33. Modeling and analysis of functionally graded materials and structures10.1115/1.2777164 ↗
34. Nonlinear transient thermoelastic analysis of functionlly graded ceramic–metal plates10.1016/S0020-7683(97)00253-9 ↗
35. Axisymmetric bending of functionally graded circular and annular plates10.1016/S0997-7538(99)80011-4 ↗
37. Exact solutions for functionally graded and laminated elastic materials10.1016/S0022-5096(98)00048-9 ↗
38. Three-dimensional transient thermal stresses of functionally graded rectangular plate due to partial heating10.1080/014957399281048 ↗
39. Three-dimensional solution for transient thermal stresses of functionally graded rectangular plate due to nonuniform heat supply10.1016/j.ijmecsci.2005.06.003 ↗
40. Optimization of material composition of functionally graded plate for thermal stress relaxation using a genetic algorithm10.1080/014957300280434 ↗
41. Deflection relationships between the homogeneous plate theory and different functionally graded plate theories
42. Three-dimensional thermoelastic deformations of a functionally graded elliptic plate10.1016/S1359-8368(99)00069-4 ↗
43. Nonlinear bending of inhomogeneous plates10.1016/S0141-0296(01)00017-7 ↗
44. Three-dimensional thermo mechanical deformations of functionally graded rectangular plates10.1016/S0997-7538(01)01174-3 ↗
45. A quadratic layer element for analyzing stress waves in FGMs and its application in material characterization10.1006/jsvi.2000.2966 ↗
46. Effects of SH waves in a functionally graded plate10.1016/S0093-6413(02)00316-6 ↗
47. Nonlinear analysis of functionally graded plates and shallow shells10.1016/S0020-7683(01)00048-8 ↗
48. Exact solutions for thermoelastic deformations of functionally graded thick rectangular plates10.2514/2.1805 ↗
49. Three-dimensional analysis of transient thermal stresses in functionally graded plates10.1016/S0020-7683(03)00361-5 ↗
50. Self-consistent elastoplastic stress solutions for functionally graded material systems subjected to thermal gradients10.1016/S0022-5096(01)00105-3 ↗
51. Non-linear analysis of FGM plates under transverse and in-plane loads10.1016/S0020-7462(01)00070-1 ↗
52. Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions10.1016/S1359-8368(02)00083-5 ↗
53. Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments10.1016/S0020-7403(01)00103-5 ↗
54. Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings10.1016/j.ijsolstr.2005.03.042 ↗
55. Benchmark solutions for functionally graded thick plates resting on Winkler Pasternak elastic foundations
56. Nonlinear bending of FGM plates subjected to combined loading and resting on elastic foundations10.1016/j.compstruct.2010.02.010 ↗
57. Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate10.1016/S0020-7683(03)00288-9 ↗
58. Exact solution for functionally graded anisotropic elastic composite laminates10.1177/002199803035565 ↗
59. Exact solution for functionally graded and layered magneto-electro-elastic plates10.1016/j.ijengsci.2004.09.006 ↗
60. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings10.1016/S0020-7683(03)00118-5 ↗
61. Analytical method of inelastic thermal stresses in a functionally graded material plate by a combination of a micro and macromechanical approaches10.1016/S1359-8368(02)00037-9 ↗
62. Effect of material non homogeneity on the inhomogeneous shearing deformations of a gent slab subjected to a temperature gradient10.1016/S0020-7462(02)00075-6 ↗
63. Three–dimensional elasticity solution for bending of functionally graded rectangular plates10.1016/j.euromechsol.2004.04.002 ↗
64. The theory of elasticity of inhomogeneous media10.1016/0021-8928(71)90078-5 ↗
65. 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 method10.1016/j.compositesb.2004.02.004 ↗
66. Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov–Galerkin method10.1007/s00466-003-0527-z ↗
67. Finite elements for functionally graded Reissner–Mindlin plates10.1016/j.cma.2003.09.014 ↗
68. Approximation of functionally graded plates with non-conforming finite elements10.1016/j.cam.2006.10.078 ↗
69. Thermal buckling of a simply supported moderately thick rectangular FGM plate10.1016/j.compstruct.2003.08.004 ↗
70. Three-dimensional flexure of rectangular plates made of functionally graded materials10.1115/1.1985429 ↗
71. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method10.1016/j.compstruct.2004.08.003 ↗
72. Analysis of functionally graded plates by a robust meshless method10.1080/15376490701672732 ↗
73. Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach10.1016/j.compositesb.2005.05.009 ↗
74. A comprehensive analysis of functionally graded sandwich plates: Part 1-deflections and stresses10.1016/j.ijsolstr.2005.02.015 ↗
75. Generalized shear deformation theory for bending analysis of functionally graded plates10.1016/j.apm.2005.03.009 ↗
76. Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate10.1007/s00419-006-0084-y ↗
77. Hygro-thermo-mechanical effects on FGM plates resting on elastic foundations10.1016/j.compstruct.2010.04.017 ↗
78. Imperfection sensitivity of the post buckling behavior of higher-order shear deformable functionally graded plates10.1016/j.ijsolstr.2005.06.061 ↗
79. Static analysis of simply supported functionally graded and layered magneto-electro-elastic plates10.1016/j.ijsolstr.2005.05.030 ↗
80. Supersonic flutter characteristics of functionally graded flat panels including thermal effects10.1016/j.compstruct.2004.10.007 ↗
81. Large deflection behavior of functionally graded plates under pressure loads10.1016/j.compstruct.2006.04.004 ↗
82. An inverse problem for a functionally graded elliptical plate with large deflection and slightly disturbed boundary10.1016/j.ijsolstr.2005.07.029 ↗
83. Mechanical behavior of functionally graded material plates under transverse load-Part I: analysis10.1016/j.ijsolstr.2005.04.011 ↗
84. Mechanical behavior of functionally graded material plates under transverse load-Part II: numerical results10.1016/j.ijsolstr.2005.04.010 ↗
85. Bending behavior of FGM-coated and FGM-undercoated plates with two simply supported opposite edges and two free edges10.1016/j.compstruct.2006.08.006 ↗
86. An analytical solution for nonlinear cylindrical bending of functionally graded plates10.1016/j.tws.2006.10.013 ↗
87. Two-Dimensional sublamination theory for analysis of functionally graded plates10.1016/j.jsv.2007.07.027 ↗
88. Analysis of thick functionally graded plates by local integral equation10.1002/cnm.923 ↗
89. The flexibility of functionally graded material plates subjected to uniform loads10.2140/jomms.2007.2.63 ↗
90. Free vibration, buckling, and static deflections of functionally graded plates10.1016/j.compscitech.2006.02.032 ↗
91. Functionally graded plates behave like homogeneous plates10.1016/j.compositesb.2007.02.026 ↗
92. A theoretical analysis of FGM thin plates based on physical neutral surface10.1016/j.commatsci.2008.05.016 ↗
93. An efficient and simple refined theory for bending and vibration of functionally graded plates10.1016/j.compstruct.2009.05.008 ↗
94. Nonlinear analysis of FGM plates under pressure loads using the higher-order shear deformation theories10.1016/j.compstruct.2008.06.009 ↗
95. A semi-analytical solution for bending of moderately thick curved functionally graded panels10.1080/15376494.2010.488519 ↗
96. Exact solution for thermo-elastic response of functionally graded rectangular plates10.1016/j.compstruct.2009.07.003 ↗
97. Elasticity solution of functionally graded circular and annular plates integrated with sensor and actuator layers using differential quadrature10.1016/j.compstruct.2011.04.003 ↗
98. Three-dimensional static analysis of thick functionally graded plates by using meshless local Petrov–Galerkin (MLPG) method10.1016/j.enganabound.2010.01.005 ↗
99. Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM10.1016/j.compstruct.2010.03.011 ↗
100. Three-dimensional static analyses for FGM plates with medium componenets and different net structures10.1016/S0894-9166(10)60018-3 ↗