Antiplane Eigenstrain Problem of an Elliptic Inclusion in an Anisotropic Half Space

The antiplane eigenstrain problem of an elliptic inclusion in an anisotropic semi-infinite medium is investigated. Expressions for the stresses and elastic energy have been developed using the line force concept and superposition of the image field. It is shown that in the presence of a free surface the stresses inside the inclusion are not constant. In addition, the elastic energy of the system is reduced as the inclusion approaches the free surface.