Three-dimensional thermomechanical deformations of functionally graded rectangular plates

Aboudi, 1991

Bahar, 1975, State space approach to elasticity, J. Franklin Inst., 229, 33, 10.1016/0016-0032(75)90082-4

Benveniste, 1987, A new approach to the application of Mori–Tanaka's theory in composite materials, Mech. Mater., 6, 147, 10.1016/0167-6636(87)90005-6

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

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

Cheng, 2000, Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories, Archives Mech., 52, 143

Cheng, 1999, Membrane analogy of buckling and vibration of inhomogeneous plates, J. Eng. Mech., 125, 1293, 10.1061/(ASCE)0733-9399(1999)125:11(1293)

Cheng, 2000, Exact bending solution of inhomogeneous plates from homogeneous thin-plate deflection, AIAA J., 38, 1289, 10.2514/2.1100

Cribb, 1968, Shrinkage and thermal expansion of a two phase material, Nature, 220, 576, 10.1038/220576a0

Fukui, 1991, Fundamental investigation of functionally gradient material manufacturing system using centrifugal force, Int. J. Jpn Soc. Mech. Engineers, Ser. III, 34, 144

Gol'denveizer, 1969, Boundary layer and its interaction with the interior state of stress of an elastic thin shell, J. Appl. Math. Mech., 33, 971, 10.1016/0021-8928(69)90005-7

Gong, 1999, The elastic response of functionally graded cylindrical shells to low velocity impact, Int. J. Impact Eng., 22, 397, 10.1016/S0734-743X(98)00058-X

Hashin, 1963, A variational approach to the theory of the elastic behavior of multiphase materials, J. Mech. Phys. Solids, 13, 213

Hatta, 1985, Effective thermal conductivity of a misoriented short fiber composite, J. Appl. Phys., 58, 2478, 10.1063/1.335924

Iyengar, 1983, Analysis of orthotropic rectangular thick plates, Fibre Sci. Tech., 18, 19, 10.1016/0015-0568(83)90048-9

Koizumi, 1993, The concept of FGM, Ceramic Trans., Functionally Gradient Mater., 34, 3

Levin, 1967, Thermal expansion coefficients of heterogeneous materials, Mekh. Tverd. Tela, 2, 88

Loy, 1999, Vibration of functionally graded cylindrical shells, Int. J. Mech. Sci., 41, 309, 10.1016/S0020-7403(98)00054-X

Mori, 1973, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metall., 21, 571, 10.1016/0001-6160(73)90064-3

Murphy, 1957

Pagano, 1969, Exact solutions for composite laminates in cylindrical bending, J. Compos. Mater., 3, 398, 10.1177/002199836900300304

Pagano, 1970, Exact solutions for rectangular bi-directional composites and sandwich plates, J. Compos. Mater., 4, 20, 10.1177/002199837000400102

Pindera, 1995, Limitations of the uncoupled, RVE-based micromechanical approaches in the analysis of functionally graded composites, Mech. Mater., 20, 77, 10.1016/0167-6636(94)00052-2

Praveen, 1999, Thermoelastic analysis of functionally graded ceramic-metal cylinder, J. Eng. Mech., 125, 1259, 10.1061/(ASCE)0733-9399(1999)125:11(1259)

Praveen, 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, Int. J. Solids Struct., 35, 4457, 10.1016/S0020-7683(97)00253-9

Reddy, 1997

Reddy, 2000, Analysis of functionally graded plates, Int. J. Numer. Methods Eng., 47, 663, 10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8

Reddy, 1998, Thermomechanical analysis of functionally graded cylinders and plates, J. Thermal Stresses, 21, 593, 10.1080/01495739808956165

Reddy, 1999, Axisymmetric bending of functionally graded circular and annular plates, European J. Mech., A/Solids, 18, 185, 10.1016/S0997-7538(99)80011-4

Reiter, 1997, Micromechanical models for graded composite materials, J. Mech. Phys. Solids, 45, 1281, 10.1016/S0022-5096(97)00007-0

Rosen, 1970, Effective thermal expansion coefficients and specific heats of composite materials, Int. J. Eng. Sci., 8, 157, 10.1016/0020-7225(70)90066-2

Schapery, 1968, Thermal expansion coefficients of composite materials based on energy principles, J. Compos. Mater., 2, 380, 10.1177/002199836800200308

Tanaka, 1993, Design of thermoelastic materials using direct sensitivity and optimization methods: reduction of thermal stresses in functionally gradient materials, Comput. Methods Appl. Mech. Eng., 106, 271, 10.1016/0045-7825(93)90193-2

Tanaka, 1993, An improved solution to thermoelastic materials designed in functionally gradient materials: scheme to reduce thermal stresses, Comput. Methods Appl. Mech. Eng., 106, 377, 10.1016/0045-7825(93)90088-F

Tanigawa, 1995, Some basic thermoelastic problems for nonhomogeneous structural materials, Appl. Mech. Rev., 48, 377, 10.1115/1.3005103

Tarn, 1995, Asymptotic thermoelastic analysis of anisotropic inhomogeneous and laminated plates, J. Thermal Stresses, 18, 35, 10.1080/01495739508946289

Van Vlack, 1985

Wang, 1994, A three-dimensional analysis of anisotropic inhomogeneous and laminated plates, Int. J. Solids Struct., 31, 497, 10.1016/0020-7683(94)90089-2

1990