Three-dimensional solution for transient thermal stresses of an orthotropic functionally graded rectangular plate

This paper is concerned with the theoretical treatment of transient thermoelastic problem involving an orthotropic functionally graded rectangular plate due to nonuniform heat supply. The thermal and thermoelastic constants of the rectangular plate are assumed to vary exponentially in the thickness direction. The transient three-dimensional temperature is analyzed exactly by the methods of Laplace and finite cosine transformations. The three-dimensional solution for the simple supported rectangular plate is obtained herein. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures. Furthermore, the influence of the nonhomogeneity and orthotropy of the material is investigated.