Nonlinear Thermal Analysis of Functionally Graded Plates Using Higher Order Theory

Abstract

In this paper, the nonlinear thermal analysis of functionally graded material (FGM) plate with material variation parameter (n), boundary conditions, aspect ratios and side to thickness ratios is investigated using higher order displacement model. The derivation of equations of motion for higher order displacement model is obtained using principle of virtual work. The nonlinear simultaneous equations are obtained by Navier's method considering certain parameters, loads and boundary conditions. The nonlinear algebraic equations are solved using Newton Raphson iterative method. The effect of shear deformation and nonlinearity response of functionally graded material is investigated.

Keywords: Nonlinear thermal analysis, FGM plates, higher order theory, Navier's method, Newton Raphson method.