Arbitrarily Oriented Crack Inside an Elliptical Inclusion

The plane problem of an elastic elliptic inclusion containing a crack is solved. Complex potentials presented by Qaissaunee (1992) for an edge dislocation inside an elastic elliptical inclusion are used to obtain the Green’s function for this problem. The problem is formulated in terms of systems of singular integral equations which are solved numerically. Some detailed results are given for various crack inclusion geometries and material combinations.