AXIALLY SYMMETRIC THERMAL STRESS OF A PENNY-SHAPED CRACK UNDER GENERAL HEAT FLUX

This paper presents a solution of the steady-state thermal stress and displacement in an infinite isotropic elastic solid containing a penny-shaped crack whose surfaces are exposed to the general mechanical loading and nonsymmetric heat flux. That is, the heat flux applied to both surfaces of the crack is not the same. The problem is solved using Hankel transforms and the Abel operator of the second kind. Using limiting values of the stress, displacement, and temperature fields at the crack plane in terms of the stress, displacement, temperature, and heat flux discontinuities and boundary conditions of the crack, the problem is reduced to that of solving Abel integral equations that admit closed-form solutions. For a special case of heat flux conditions, stresses at a general point of the medium have been computed and presented graphically.