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.
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September 1984
Research Papers
Scattering of Elastic Waves by a Plane Crack of Finite Width
J. H. M. T. van der Hijden,
J. H. M. T. van der Hijden
Delft University of Technology, Department of Electrical Engineering, Laboratory of Electromagnetic Research, P.O. Box 5031, 2600 GA Delft, The Netherlands
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F. L. Neerhoff
F. L. Neerhoff
Delft University of Technology, Department of Electrical Engineering, Laboratory of Electromagnetic Research, P.O. Box 5031, 2600 GA Delft, The Netherlands
Search for other works by this author on:
J. H. M. T. van der Hijden
Delft University of Technology, Department of Electrical Engineering, Laboratory of Electromagnetic Research, P.O. Box 5031, 2600 GA Delft, The Netherlands
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. Sep 1984, 51(3): 646-651 (6 pages)
Published Online: September 1, 1984
Article history
Received:
June 1, 1983
Revised:
January 1, 1984
Online:
July 21, 2009
Citation
van der Hijden, J. H. M. T., and Neerhoff, F. L. (September 1, 1984). "Scattering of Elastic Waves by a Plane Crack of Finite Width." ASME. J. Appl. Mech. September 1984; 51(3): 646–651. https://doi.org/10.1115/1.3167687
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