Transient thermal stresses of a composite hollow cylinder heated by a moving line source

Abstract

This paper analyzes the transient thermal stress distribution of a composite hollow cylinder which is composed of two different materials. The cylinder is heated by a moving line heat source on its inner boundary and cooled convectively at the exterior surface. The heat source is also assumed to be axisymmetric, moving along the axis of the hollow cylinder with constant velocity, and decaying exponentially with time. The transient temperature distribution is obtained by means of the Laplace transform and the eigenfunction expansion methods. The associated thermal stresses are obtained by making use of the thermoelastic displacement function and the Love function. Finally, the Fourier series technique is utilized to solve the inverse transform. The numerical results indicate that the positions of the peak values of temperature and stress are just at the same position as that of the applied heat source. The axial and hoop stresses are dominant in the thermal stress field.