Wave Propagation in a Half Space Due to an Interior Point Load Parallel to the Surface

摘要

The state of stress in a body subjected to dynamic loads is the result of the propagation of stress waves generated by the disturbances. In an isotropic elastic body, both dilatational and distortional waves can exist. The principal difficulty that arises in the solution of wave propagation problems in bounded elastic media is the interaction of these dilatational and distortional waves at a bounding surface. The simplest cases in which such interaction occurs involve a half space, where there is only one plane bounding surface. The object of this study was to develop the method of rotational superposition for the solution of a certain class of three-dimensional wave propagation problems. This method, when coupled with the method of self-similar potentials, is shown to be an effective alternative to the classical Laplace transform and harmonic wave techniques. (Author)