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.
Skip Nav Destination
Article navigation
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
Search for other works by this author on:
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
Download citation file:
Get Email Alerts
Related Articles
Elastic Wave Scattering from an Interface Crack: Antiplane Strain
J. Appl. Mech (September,1987)
Axisymmetric Scattering of a Plane Longitudinal Wave by a Circular Crack in a Transversely Isotropic Solid
J. Appl. Mech (September,1991)
Scattering From an Elliptic Crack by an Integral Equation Method: Normal Loading
J. Appl. Mech (November,2002)
Dynamic Response of an Orthotropic Half-Space With a Subsurface Crack: In-Plane Case
J. Appl. Mech (December,1991)
Related Proceedings Papers
Related Chapters
Study on Load Position Switching of Radial Scattering Dispenser
International Conference on Mechanical Engineering and Technology (ICMET-London 2011)
Scattering of Out-Plane Line Source Load by a Shallow-Embedded Circular Lining Structure and the Ground Motion
Geological Engineering: Proceedings of the 1 st International Conference (ICGE 2007)
Model and Simulation of Low Elevation Ground-to-Air Fading Channel
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)