An inclusion in one of two joined isotropic elastic half-spaces

Two dissimilar, homogeneous and istropic, elastic half-spacesare bonded together over thier infinite plane of contract. Anarbitrarily shaped finite part of one of them (an inclusion)tends spontaneously to undergo a unifrom infinitesimal strain,but, as it remains attached to and restrained by the surroundingmaterial, an equilibrated state of stress and strain is establishedeverywhere instead. By adopting a convenient expression forthe fundamental field of a point force, we transformed inclusion.For a general shape of the inclussion and for particular sphericaland finite cylindrical shapes in detail, we consider the evaluationof the elastic strain energy, especially of the interactionterm which depends on the location of the inclusion and bothpairs of elastic moduli, and which is of great significancein physical applications.