The stress analysis of an ellipsoidal inhomogeneity in dissimilar media

The elastic stress field for an ellipsoidal inhomogeneous inclusion in one of two perfectly bonded semi-infinite solids subjected to external stress is investigated by the modified equivalent inclusion method. Using the general solution for the inhomogeneous inclusion in bimaterial expressed in terms of Garlerkin stress vectors, the potential functions to solve the problem are obtained. Numerical examples are given to show the traction force distributions on the boundary of the ellipsoidal inhomogeneous inclusion that have different inclined angles with the interface using a computer program developed by the authors. This research is meaningful for fracture of inclusions.