Abstract
This paper is concerned with the theoretical treatment of transient thermoelastic problems involving multilayered hollow cylinders and hollow spheres with piecewise power law nonhomogeneity due to uniform heat supply. The thermal and thermoelastic constants of each layer are expressed as power functions of the radial coordinate, and their values continue on the interfaces. We obtain the exact solutions for the one-dimensional temperature change in a transient state, and thermoelastic response. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures.