Abstract
The plane elastostatic problem for a bonded plane consisting of an isotropic and an anisotropic half planed is considered when a straight crack originating in one half-plane is passing through a bimaterial interface into an other. It is assumed that the crack is normal to the interface and that the bonded plane is subjected to a constant strain away from, and perpendicular to, the crack. A fundamental stress field due to two colinear edge dislocations existing in each half plane is firstly analyzed, and then the method of continuous distribution of dislocations reduces the problem to a system of simultaneous singular integral equations for the dislocation density. The singular behaviour of stresses at the point of intersection of the crack and the interface as well as at the crack-tips in investigated in detail.
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