Dynamic Response of Elastic Half-Space Under Unsteady Buried Line Moving Dislocation

Abstract

The exact transient closed-form solutions for a suddenly applied dislocation, such as a crack or fault which travels at a constant velocity and depth below the surface of an elastic half plane, are obtained in this study. First, the transformed solution of Navier's equation in the Laplace and Fourier domain are obtained, then the inverse transforms are carried out using the Cagniard-deHoop method to obtain the closed-form solution. The numerical results of the stress and velocity fields are shown for the cases of subsonic and supersonic traveling velocities. In the subsonic case, responses differ according to the traveling velocity such that the responses at a point along the moving direction are larger than the results of the leaving direction. In the supersonic case, impact waves occur and reach the surface before the primary wave.