Analysis of the Stress-Focusing Effect in a Spherical Inclusion Embedded in an Infinite Elastic Medium.

Abstract

When an infinite elastic medium with a spherical inclusion is suddenly subjected to an instantaneous heat source, a stress weve occurs at the interface of spherical inclusion the moment thermal impact is applied. The stress wave in an inclusion proceeds radially inward to the center of the inclusion. The wave may accumulate at the center and give rise to very large stress magnitudes, even though the initial thermal stress is relatively small. This phenomenon is called the stress-focusing effect. The stress wave in an infinite medium proceeds radially to infinity. In this paper, we analyze this phenomenon theoretically. The results give a clear indieation of the mechanism of thermal shock in the infinite medium with a spherical inclusion.