Three-dimensional solution for transient thermoelastic problem of a functionally graded rectangular plate with piecewise exponential law

This paper is concerned with the theoretical treatment of transient thermoelastic problem involving a functionally graded rectangular plate with piecewise exponential law due to nonuniform heat supply. The thermal and thermoelastic constants of each layer are assumed to vary exponentially in the thick direction, and their values continue on the interfaces. We obtain the exact solution for the three-dimensional temperature change in a transient state, and thermoelastic response of a simple supported rectangular plate. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures.