Explicit analytical solutions for elastic fields in two imperfectly bonded half-spaces with a thermal inclusion

Abstract The paper generalizes the analytical solutions for the thermal-eigenstrain-induced elastic field in two joined half-space solids or a bimaterial with an interface of coupled dislocation-like and force-like imperfects. The present model permits quantitative jumps in displacements and/or stresses from one medium to the other. The model also leads to a set of explicit closed-form expressions for the dilatation-induced elastic fields in half-spaces I and II joined by such an imperfect interface. Cases for the elastic fields subjected to an ellipsoidal, a spherical, a spherical shell, and a cylindrical thermal inclusion are analyzed, and key results are validated by comparison with existing experimental results. The influences of several types of interfaces, such as the perfectly bonded, dislocation-like, and force-like interfaces, on the stress and displacement transmissions are further discussed.