Analytical Solutions for Power Law varied FG laminate Subjected to Thermo-mechanical Loadings

Abstract

This paper consists of a thermal stress analysis of power law varied functionally graded laminate. In this paper, the exact temperature field obtained by the heat conduction equation, and the same has used for thermal stress analysis. In addition, a simple power law varied temperature field also considered for thermal stress analysis. Heat conductivity and coefficient of thermal expansion have graded as power-law along with the thickness of the domain. The Poisson ratio has kept constant. The numerical solution scheme involved the conversion of the boundary value problem to the initial value problem and the use of the 4^th-order Runge Kutta-Grill algorithm for numerical integration. The parametric study includes a thick to thin laminate by considering various aspect ratios.