In this paper, theoretical analysis of a three-dimensional transient thermal stress problem is developed for a nonhomogeneous hollow circular cylinder. We assume that the hollow circular cylinder has nonhomogeneous thermal and mechanical material properties in the radial direction. The heat conduction problem and the associated thermoelastic behavior for such a nonhomogeneous medium are developed by introducing the theory of laminated composites as one of the theoretical approximations. The transient heat conduction problem under the condition of three-dimensional heat supply due to the inner or outer surrounding medium is evaluated with the aid of the methods of Fourier cosine transform and Laplace transform. The associated thermoelastic field is analyzed by making use of the thermoelastic displacement potential, Michell's function and Boussinesq's function. Thereafter, the numerical results for the temperature change and the stress distributions are shown in the figures, and the influence of the nonhomogeneous material properties is briefly discussed.
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OOTAO et al. (1993) studied this question.