Abstract
Two-dimensional problem of a dislocation interacting with an elliptic hole or rigid inclusion in an anisotropic medium is considered. Closed-form solutions of the displacements and stresses are obtained. Explicit expressions for the interaction energy are given. For dislocations very near to the elliptic boundary, it is shown that the level curve of the interaction energy is geometrically similar to the elliptic boundary regardless of the types of the dislocations. For dislocations very far from the elliptic boundary, real-form expressions for interaction energy are obtained. The degenerate case of a crack or a rigid line inclusion is also discussed.
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