Abstract
In this paper, theoretical analysis of an axisymmetric transient thermal stress problem is developed for a nonhomogeneous hollow sphere. Assuming that the hollow sphere has non-homogeneous thermal and mechanical material properties in radial direction, heat conduction problem and the associated thermoelastic behaviors for such nonhomogeneous medium are developed by introducing the theory of laminated composite as one of the theoretical approximation. The transient heat conduction problem under the condition of axisymmetric heat supply due to the inner or outer surrounding medium is evaluated with aid of the method of Laplace transform, and the associated thermoelastic field is analyzed making use of the thermoelastic displacement potential and the complementary harmonic function. Thereafter, the numerical results for the temperature change and the stress distributions are shown in figures, and the influences of the nonhomogeneous material properties are discussed briefly.
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