Transient Thermoelastic Analysis of Functionally Graded Plate with Temperature-Dependent Material Properties Taking into Account the Thermal Radiation

Abstract

This paper is concerned with the theoretical analysis of transient thermal stress problem of the functionally graded plate with temperature-dependent material properties taking into account the thermal radiation. We analyze the thermoelastic problem by means of the theory of laminated composites as one of the theoretical approximation. With the aide of a finite difference method for time variable and an iteration method, a semi-analytical solution can be obtained. Some numerical results for temperature change and stress distributions in a transient state are shown in figures. The influence of temperature-dependent material properties and thermal radiation is investigated.