Transient thermoelastic analysis for a multilayered hollow sphere with piecewise power law nonhomogeneity

This paper is concerned with the theoretical treatment of transient thermoelastic problem involving a multilayered hollow sphere 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 solution 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.