The transient motion of an interface screw dislocation was first studied by using the Fourier and Laplace transforms and the Cagniard-de Hoop technique. The solution for a dislocation moving uniformly from rest was then used as a fundamental step towards an analysis of the anti-plane self-similar propagation of an interface crack under moving concentrated loads. The crack was modelled as a continuous array of moving dislocations whose velocities were constants that varied from zero to the crack-tip speed, and whose distribution was with respect to the dislocation speed. A singular integral equation was established by superposition, with regard to the speed, and a closed-form analytical solution was found for the calculation of dynamic stress intensity factors.

Transient Motion of an Interface Dislocation and Self-Similar Propagation of an Interface Crack - Anti-Plane Motion. Y.S.Wang, D.Wang: Engineering Fracture Mechanics, 1996, 55[5], 717-25