Scattering of Elastic Waves by a Plane Crack of Finite Width

[+] Author and Article Information
J. H. M. T. van der Hijden, F. L. Neerhoff

Delft University of Technology, Department of Electrical Engineering, Laboratory of Electromagnetic Research, P.O. Box 5031, 2600 GA Delft, The Netherlands

J. Appl. Mech 51(3), 646-651 (Sep 01, 1984) (6 pages) doi:10.1115/1.3167687 History: Received June 01, 1983; Revised January 01, 1984; Online July 21, 2009


A rigorous theory of the diffraction of time-harmonic elastic waves by a cylindrical, stress-free crack embedded in an elastic medium is presented. The incident wave is taken to be either a P-wave or an SV-wave. The resulting boundary-layer problem for the unknown jump in the particle displacement across the crack is solved by employing an integral-equation approach. The jump is expanded in a complete sequence of Chebyshev polynomials, and, writing the Green’s function as a Fourier integral, a system of algebraic equations is obtained. Numerical results are presented in the form of dynamic stress intensity factors, scattering cross sections, and normalized power-scattering characteristics. Some of them deviate from earlier published results.

Copyright © 1984 by ASME
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