Scattering of Elastic Waves by a Plane Crack of Finite Width

Author:

van der Hijden J. H. M. T.1,Neerhoff F. L.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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