Chapter Seven - Static analysis of FG elliptic plates

Abstract

In the available literature, one can certainly find a limited number of investigations related to static bending of isotropic or functionally graded (FG) elliptic plates; these are collected here in brief. In particular, the Rayleigh–Ritz method has been used in Chakraverty (1996) for the static deflection of isotropic circular and elliptic plates. A closed form solution has been proposed in Cheng and Batra (2000) for the thermo-mechanical deformations of an isotropic and linear thermo-elastic FG elliptic plate with rigidly clamped edge support. The meshless approximation method along with Galerkin's method is employed in Çeribaşı (2012) for the static and dynamic analysis of thin uniformly loaded superelliptic plates. On the basis of the 3-D theory of elasticity, in Asemi et al. (2013) static and dynamic behaviors of elliptical plates made of FG materials subjected to uniform pressure with the help of a graded finite element method are studied. It may be noted that no study has yet been performed on static bending of FG plates based on classical plate theory.