3-DIMENSIONAL TRANSIENT THERMAL-STRESS ANALYSIS OF A NONHOMOGENEOUS HOLLOW CIRCULAR-CYLINDER DUE TO A MOVING HEAT-SOURCE IN THE AXIAL DIRECTION

In this paper, a theoretical analysis of a three-dimensional transient thermal stress problem is developed for a nonhomogeneous hollow circu lar cylinder due to a moving heat source in the axial direction from t he inner and/or outer surfaces. Assuming that the hollow circular cyli nder has nonhomogeneous thermal and mechanical material properties in the radial direction, the heat conduction problem and the associated t hermoelastic behaviors for such nonhomogeneous medium are developed by introducing the theory of laminated composites as one of theoretical approximation. The transient heat conduction problem is treated with t he help of the methods of Fourier cosine transformation and Laplace tr ansformation, and the associated thermoelastic field is analyzed makin g use of the thermoelastic displacement potential, Michell's function, and the Boussinesq's function. Some numerical results for the tempera ture change and the stress distributions are shown in figures, and the effect of relaxing the thermal stress in the nonhomogeneous hollow ci rcular cylinder and the influence of the velocity of a moving heat sou rce are briefly discussed.