On the interaction between an elastically embedded rigid inhomogeneity and a laterally placed concentrated force

Abstract

In this paper we examine the problem of the interaction between a rigid circular disc inclusion embedded in bonded contact with an isotropic elastic infinite space and a concentrated force which acts at an exterior point on the plane of the inclusion. The results for the displacement and rotation of the disc inclusion induced by the laterally placed load are evaluated in exact closed form. Furthermore, it is shown that these results may also be recovered by appeal to Betti's reciprocal theorem in which the auxiliary problem corresponds to the directly loaded inclusion.