On the dynamic stress and displacement field associated with a crack propagating across the interface between two media

Two half-spaces with different elastic constants are wellled together and subjected to a longitudinal shear strain at infinity so that the whole system is in a state of anti-plane strain. Suddenly the weld breaks and a crack begins to propagate at right angles to the interface into each of the two media simultaneously with a different velocity in each. This paper attempts to calculate the resulting stress and displacement fields.