Time domain dynamic response functions of elastically anisotropic solids

Abstract

A method is described for calculating the displacement response function tensor for an infinite anisotropic elastic continuum subjected to a concentrated point force with Heaviside step function time dependence, and examples of computed response functions for zinc, diamond, and silicon are provided. Particular attention is given to the singularities of various orders that travel outward from the point of excitation on the wave surface. The commonly occurring forms that these wave arrival singularities take are described, and explanation provided of how they arise. Some of the singularity types mentioned here have not previously been noted in the literature. Computed response functions for silicon and zinc are compared with waveforms measured in these crystals using the capillary fracture technique.