Stress Intensity Factors and Order of Stress Singularities at the Tips of a Crack Normal to the Bimaterial Interface : Solid-Mechanics, Strength of Materials

Abstract

The plane elastostatic problem for two bonded elastic half planes consisting of isotropic and anisotropic materials is considered. It is assumed that the anisotropic half plane contains a straight crack normal to the bimaterial interface, and that the bonded plane is subjected to a constant strain away from, and perpendicular to, the crack. Singular stress fields at the tips of a crack fully embedded in the anisotropic half plane and terminating at the interface are investigated. Mathematical formulations are made using the method of continuous distribution of dislocations and singular integral equation method. Numerical calculations are carried out for the stress intensity factors and the order of stress singularities at the tips of the crack.