Inverse Problem Analysis of Transient Thermal Stresses in a Nonhomogeneous Solid Circular Cylinder due to Asymmetrical Heating.

Abstract

This paper deals with an inverse problem analysis of thermal stresses in a transient state for a cylinder with nonhomogeneous material properties in a radial direction. Assuming that the solid circular cylinder is heated asymmetrically by the unknown temperature function of the surrounding medium, we have analyzed the inverse problem to determine the temperature function of the surrounding medium satisfying the prescribed transient thermal stress component in the axial direction of the cylinder. Coupling between the temperature and associated asymmetric thermoelastic fields is taken into consideration, and then the solutions of the temperature function for the surrounding media, the temperature change and the associated thermal stresses, thermal deformations for the cylinder are evaluated by means of the Laplace transform method. Some numerical results for the temperature change and the stress distributions are shown and discussed.