Abstract
The two-dimensional problem of a crack opened under uniform internal pressure and lying along the interface of a rigid circular inclusion embedded in an infinite elastic solid is examined. Based on the complex variable method of Musk helishvili closed form solutions of the stresses and displacements around the crack are obtained and these are then combined with the Griffith's virtual work argument to give a criterion of a crack extension, or decohesion of the interface. The critical pressure is expressed explicitly by a function of the radius of the inclusion and the central angle sublended by the half length of the crack; especially it is inversely proportional to the square root of the radius of the inclusion.
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