Stress Singularities for Crack with Tip on Bimaterial Interface of Isotropic and Anisotropic Phases

Abstract

In this paper, the singularities for a crack terminating at a bimaterial interface are studied as a plane problem. The bimaterial body is composed of two elastic bodies : one is isotropic and the other is orthotropic. The crack is assumed to be in the isotropic body. The eigenequation, by which the order of stress singularity is determined, is given in an explicit closed form. The eigenvalues are calculated for various geometries and material combinations. It is shown that the stress singularities depend only on four effective elastic constants, besides the inclination angle of the crack.