Stress analysis of elastic medium with eccentric two circular inclusions under the in-plane problems

Abstract

This paper presents the theoretical solution of a two-dimensional isotropic elastic medium (matrix) with eccentric two circular inclusions (ring model) under the in-plane problems. Inner inclusion is perfectly bonded to the outer inclusion. These inclusions have different elastic moduli, radii and central points. The matrix is infinite extent and subjected to arbitrary in-plane loading, for example, uniform stresses at infinity, as well as a concentrated force at an arbitrary point. These inclusion problems have many applications in discriplines such as engneering. The purpose of the present study is to apply the reflection principle and produces a general solution. Using these solutions, several numerical examples are presented graphically.