AN INCLUSION IN ONE OF 2 JOINED ISOTROPIC ELASTIC HALF-SPACES

Two dissimilar, homogeneous and isotropic, elastic half-spaces are bon ded together over their infinite plane of contact. An arbitrarily shap ed finite part of one of them (an inclusion) tends spontaneously to un dergo a uniform infinitesimal strain, but, as it remains attached to a nd restrained by the surrounding material, an equilibrated state of st ress and strain is established everywhere instead. By adopting a conve nient expression for the fundamental field of a point force, we constr uct the full elastic field of a layer of body force and hence of the t ransformed inclusion. For a general shape of the inclusion and for par ticular spherical and finite cylindrical shapes in detail, we consider the evaluation of the elastic strain energy, especially of the intera ction term which depends on the location of the inclusion and both pai rs of elastic moduli, and which is of great significance in physical a pplications.