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RESEARCH PAPERS

On Elastodynamic Diffraction of Waves From a Line-Load by a Crack

[+] Author and Article Information
A. K. Gautesen

Ames Laboratory and Department of Mathematics, Iowa State University, Ames, Iowa 50011

J. Appl. Mech 51(2), 335-338 (Jun 01, 1984) (4 pages) doi:10.1115/1.3167622 History: Received May 01, 1983; Online July 21, 2009

Abstract

For the two-dimensional problem of elastodynamic diffraction of waves by a crack of finite width, we assume that the solution corresponding to incidence of a plane wave of either longitudinal or transverse motions under a fixed angle of incidence is known. We first show how to construct the solution corresponding to an in-plane line-load (the Green’s function) from this known solution. We then give a simple relation between the far field scattering patterns corresponding to a plane wave incident under any angle and the far field scattering patterns corresponding to the known solution. This relation is a generalization of the principle of reciprocity.

Copyright © 1984 by ASME
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