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.
A Semi-Analytical Approach in the High-Frequency Diffraction by Cracks
ZAMPOLI, VITTORIO
2011-01-01
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.File in questo prodotto:
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