Transient motion of an interface dislocation and self-similar propagation of an interface crack: Anti-plane motion

In this paper, the transient motion of an interface screw dislocation is first studied by the Fourier and Laplace transforms and Cagniard-de Hoop technique. Then the solution of a dislocation moving uniformly from rest is used as a fundamental solution to solve the anti-plane self-similar propagation of an interface crack under the moving concentrated loads. The crack is modeled as a continuous array of moving dislocations whose velocities are constants varying from zero to the crack tip speed and whose distribution is w.r.t the dislocation speed. A singular integral equation is established by superposition with respect to speed and the closed analytic solution is found to calculate the dynamic stress intensity factors (DSIFs). With these results in hand, we further obtain the DSIFs of an anti-plane interface crack extending non-symmetrically under the load of type x(n). The analysis of the present paper is restricted to the subsonic case. Copyright (C) 1996 Elsevier Science Ltd.