Abstract
In this study, the theoretical analysis of a three-dimensional transient thermal stress problem is developed for a nonhomogeneous hollow sphere with respect to rotating heat source from the outer surface. We assume that the hollow sphere has nonhomogeneous thermal and mechanical material propeties is the radial direction. The heat conduction problem and the associated thermoelastic behavior for such nonhomogeneous media are developed by introducing the theory of laminated composites as one theoretical approximation. The transient heat conduction problem is evaluated with the aid of the method of Laplace transformation. The associated thermoelastic field is analyzed by making use of the thermoelastic displacement potential and the complementary harmonic function. Some numerical results for the temperature change and the stress distributions are shown in figures.
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