Thermal stresses induced by a point heat source in a hollow disk by quasi-static approach

Abstract

This paper deals with the two dimensional non-homogeneous boundary value problem of heat conduction in a hollow disk defined as and discussed the thermoelastic behavior due to internal heat generation within it. A thin hollow disk is considered having arbitrary initial temperature and subjected to time dependent heat flux at the outer circular boundary whereas inner circular boundary is at zero heat flux. Also, the upper surface of the hollow disk is insulated and the lower surface is at zero temperature. The governing heat conduction equation has been solved by using integral transform technique. The results are obtained in series form in terms of Bessel’s functions. The results for displacement and stresses have been computed numerically and are illustrated graphically. Key words: Transient, thermoelastic problem, thermal stresses, heat generation non homogenous boundary value problem.