An elastic singularity in joined half-spaces

Abstract

Simple, general, explicit expressions are given for the elastic field generated in two firmly joined, or slipping, dissimilar, homogeneous and isotropic, semi-infinite solids, when the interior of one of them contains an arbitrary nucleus of strain or other elastic singularity. The singularity is defined by reference to the elastic field it would induce on its own in an infinitely extended homogeneous and isotropic medium. That fundamental field is converted immediately by our formulae into the corresponding one in the two-phase solid. We refer also to the method of images, particularly in connection with a point force (Green's functions) and a centre of dilatation, for firmly bonded half-spaces.