Antiplane Eigenstrain Problem of an Elliptic Inclusion in a Two-Phase Anisotropic Medium

Abstract

An antiplane eigenstrain problem of an elliptic inclusion in a two-phase anisotropic medium is analyzed based on the line-force concept. Explicit expressions for the stress field and strain energy are obtained under a given symmetry. The results are used to determine the stress singularity coefficient for a flat inclusion. When the tip of the inclusion is located at the interface boundary, the stress singularity coefficient S ′ varies according to the formula S ′ = (1 + K) S ° where K is the elastic inhomogeneity factor and S ° is the stress singularity coefficient for a homogeneous medium (K = 0).