Abstract

Elastic inclusions embedded in an infinitely extended isotropic solid are considered. Uniform asymptotic solutions are obtained for a general class of inclusion shapes. Detailed forms of these solutions are given for elliptic and lemon-shaped inclusions. It is observed that, while for elliptic inclusions the perturbation stresses at the inclusion’s ends have the same order as the stresses at infinity, for a lemon-shaped inclusion they are an order-of-magnitude smaller. The solutions for rigid inclusions and cracks are also given.

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