Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates

Abstract The response of functionally graded ceramic metal plates is investigated using a plate finite element that accounts for the transverse shear strains, rotary inertia and moderately large rotations in the von Karman sense. The static and dynamic response of the functionally graded material (fgm) plates are investigated by varying the volume fraction of the ceramic and metallic constituents using a simple power law distribution. Numerical results for the deflection and stresses are presented. The effect of the imposed temperature field on the response of the fgm plate is discussed. It is found that in general, the response of the plates with material properties between those of the ceramic and metal is not intermediate to the responses of the ceramic and metal plates.

[1]  Hasan U. Akay,et al.  Dynamic large deflection analysis of plates using mixed finite elements , 1980 .

[2]  Subra Suresh,et al.  Small and large deformation of thick and thin-film multi-layers: Effects of layer geometry, plasticity and compositional gradients , 1996 .

[3]  T. R. Tauchert,et al.  Thermally Induced Flexure, Buckling, and Vibration of Plates , 1991 .

[4]  J. N. Reddy,et al.  A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates , 1981 .

[5]  J. Reddy,et al.  Thermal effects on the response of cross-ply laminated shallow shells , 1992 .

[6]  J. N. Reddy,et al.  THERMOELASTICITY OF CIRCULAR CYLINDRICAL SHELLS LAMINATED OF BIMODULUS COMPOSITE MATERIALS , 1981 .

[7]  William Prager,et al.  Theory of Thermal Stresses , 1960 .

[8]  F. París,et al.  Analysis of thermal stresses in plates with boundary element method , 1987 .

[9]  Y. C. Das,et al.  Thermal bending of moderately thick rectangular plate. , 1972 .

[10]  S. Tang Thermal stresses in temperature-dependent isotropic plates. , 1968 .

[11]  P. Marcal,et al.  Introduction to the Finite-Element Method , 1973 .

[12]  N. D. Jadeja,et al.  Heat Induced Vibration of a Rectangular Plate , 1974 .

[13]  J. N. Reddy,et al.  EFFECTS OF SHEAR DEFORMATION AND ANISOTROPY ON THE THERMAL BENDING OF LAYERED COMPOSITE PLATES , 1980 .

[14]  M. N. Bapu Rao Thermal bending of thick rectangular plates , 1979 .

[15]  Pin Tong,et al.  Stability of transient solution of moderately thick plate by finite-difference method , 1971 .

[16]  J. Reddy,et al.  Thermal stresses and deflections of cross-ply laminated plates using refined plate theories , 1991 .

[17]  J. N. Reddy,et al.  Geometrically nonlinear transient analysis of laminated composite plates , 1983 .

[18]  J. N. Reddy,et al.  Energy and variational methods in applied mechanics , 1984 .

[19]  Y. C. Das Thermal Bending of Rectangular Plate , 1962 .

[20]  J. Reddy Mechanics of laminated composite plates : theory and analysis , 1997 .