Article ID Journal Published Year Pages File Type
799807 Journal of the Mechanics and Physics of Solids 2009 15 Pages PDF
Abstract

We consider an elastic body with a rigid inclusion and a crack located at the boundary of the inclusion. It is assumed that nonpenetration conditions are imposed at the crack faces which do not allow the opposite crack faces to penetrate each other. We analyze the variational formulation of the problem and provide shape and topology sensitivity analysis of the solution in two and three spatial dimensions. The differentiability of the energy with respect to the crack length, for the crack located at the boundary of rigid inclusion, is established.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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