Static and Dynamic Analyses of Thin Uniformly Loaded Super Elliptical FGM Plates
Elastic and functionally graded (FGM) Kirchhoff plates are investigated in this study. Meshless approximate methods are employed for solution of plate equations. For static analysis, uniformly distributed load and clamped boundaries are assumed. Galerkin's method is used to solve the partial differential equation of plates. In addition, vibration characteristics of simply supported FGM plates are studied by using the Ritz method. The Poisson's ratios of plates are assumed to be constant, but Young's modulus varies functionally. The effective Young's modulus of the plates, made of isotropic ceramic and metal constituents with volume contents varying only in the thickness direction, is computed using the Mori-Tanaka homogenization technique. The objective here is to investigate the influence of volume fractions and the component materials on mechanical behavior of super elliptical plates.