DIFFUSION-PROBLEMS IN BONDED NONHOMOGENEOUS MATERIALS WITH AN INTERFACE CUT

In this paper the mixed boundary value problem for a nonhomogeneous medium bonded to a rigid subspace is considered. The main objective is to investigate the techniques that would lead to analytically tractable solutions and to provide examples comparing the results of various kinds of material nonhomogeneities. The problem studied is a two dimensional diffusion problem in which the interface contains a plane crack. An elastic medium under antiplane shear loading is used to formulate the problem. However, the results may be interpreted in terms of any number of steady-state diffusion phenomena. The method used is essentially an inverse method in the sense that it provides the material constitutive behavior for which the mixed boundary value problem can be solved rather than solving the problem for a given material. Two different methods are described and some numerical examples are given.