Thermal Stresses of an Infinite Elastic Solid with a Partially Debonded Rigid Spherical Inclusion

Abstract

This paper deals with the thermal stress problems of an elastic solid with a rigid spherical inclusion under a uniform temperature change. It is assumed that there are partially debonded interfaces between the surfaces of the inclusion and the matrix. We use a body force distribution method for the stress concentration problem. For this purpose, we apply the fundamental solution for axisymmetric body force problems of elasticity. The thermal stress fields are expressed by the elastic field due to temperature and the elastic filed due to body forces. Stress distributions around the inclusion are shown, and compared with the results for an elastic solid with a partially debonded rigid sphericaal inclusion under tension.