Elliptic rigid inhomogeneity with a slipping interface embedded in an infinite plate (Q1185374)

The object of the present paper is to provide a solution to the problem of a rigid elliptic inhomogeneity with a slipping interface in plane linear elasticity. Both cases of prescribed external moment and prescribed rotation are considered. The solution may be used to study the interaction of the inhomogeneity with any line singularity (e.g. concentrated forces, edge dislocations, dilatation centers), stress concentrations under the action of in-plane external loads, and all cases, which may be treated as superpositions of the previous ones. In particular, it is found that under a remote uniform shear parallel to the axes, and no external moment, the inhomogeneity behaves like an elliptic void.