Inclusions in a two-phase elastic space—plane circular and rectangular inclusions

This paper is concerned with the elastic field generated in two bonded isotropic half-planes containing either a circular or a rectangular inclusion, each having the same elastic properties as those of the surrounding half-plane. The circular inclusion undergoes a transformation which in the absence of the surrounding material would be an arbitrary uniform stress-free strain, while that imposed on the rectangular inclusion corresponds to a pure dilatation.