Finite matrix crack penetrating a partially debonded circular inhomogeneity

We rigorously solve the problem of a finite matrix crack penetrating a partially debonded circular elastic inhomogeneity under longitudinal shear. The tips of the matrix crack are mutual image points with respect to the inhomogeneity/matrix interface and one tip of the interface crack is located at the intersection point between the matrix crack and the circular interface. Closed-form expressions of mode-III stress intensity factors at all three crack tips as well as displacement jumps across the crack surfaces are obtained. Our results are illustrated in graphical form and verified by comparison with existing results in the literature.