A Semi-Analytical Approach in the High-Frequency Diffraction by Cracks

Abstract

In the problem of high-frequency diffraction by cracks in linear elastic materials we propose a numerical method which is based on a separation of the oscillating (GTD) solution and a certain slowly varying function. This technique, described in literature for regular (Fredholm) integral equations, is applied here to hyper-singular equations arising in diffraction by thin cracks in elastic media. The algorithm proposed is efficient for both high and moderate frequencies