Singular stress fields at the tips of a crack normal to the bimaterial interface of isotropic and anisotropic half planes.

Abstract

The plane elastostatic problem for two bonded elastic half planes consisting isotropic and anisotropic materials is considered. It is assumed that the isotropic half plane contains a straight crack normal to the bimaterial interface, and the bonded plane is subjected to a constant strain away from, and perpendicular to, the crack. Two cases of the crack fully imbedded into the isotropic half plane and terminating at the interface are investigated. The problem is formulated as singular integral equations with Cauchy and generalized Cauchy kernels, using the method of continuous distribution of dislocations. Numerical results are given for the order of stress singularities and stress intensity factors, and for typical material combinations.