Singular Stress Fields at the Tips of a Crack Normal to the Bimaterial Interface of Isotropic and Anisotropic Half Planes

Abstract

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