Abstract
By using the basic displacements and stresses caused by a single elastic inclusion and a single crack on infinite plane, the interaction problem between a crack and an elastic inclusion is reduced to solve a set of Cauchy-type singular integral equation. Based on this result, the singular behaviour of the solution for the inclusion-branching crack is analysed theoretically and the oscillating singular interface stress field is obtained. For the separating inclusion-crack problem, the stress intensity factors at the tips and the interface stress of the inclusion are calculated and the results of which are satisfactory.
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