Green’s Functions for Axisymmetric Problems of Dissimilar Elastic Solids

Abstract

Green’s functions are obtained for axisymmetric body force problems of dissimilar elastic solids. The Green’s functions are defined as a solution to the problem of a dissimilar elastic solid subjected to axisymmetric body forces acting along a circle in a radial, a torsional, and an axial direction. As a special case of the present results, Green’s functions are obtained for problems of an elastic half-space with the free surface or rigidly fixed surface and of a homogeneous isotropic elastic solid. An application of the Green’s functions is investigated for an eigenstrain problem.