THE PENNY-SHAPED CRACK ON AN INTERFACE

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Abstract
The problem of determining the stresses around a circular crack on the interface between two bonded dissimilar isotropic elastic half-spaces is solved when general polynomial loads are applied to the surfaces of the crack. The method of solution is an extension of one recently developed by the writer (1) and involves setting up and solving an integral equation for the Radon transform of the relative displacement of the crack faces. A representation is then given for the field at any point in terms of a single integral and closed expressions are given for the asymptotic form of the interfacial traction vector near the edge of the crack. The case of uniform loading is worked out in detail, as an example.

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