The equations governing three-dimensional elastodynamic scattering from planar cracks are formulated and solved in the frequency domain by Boundary Integral Equation (BIE) methods. The formulation requires a regularization of all nonintegrable kernels in the representation integral for the scattered stress field. The regularization procedure is novel in that it requires an initial discretization of the crack. The resulting discretized system of integral equations can be solved explicitly for the unknown crack-opening displacements. The crack-opening displacements, in conjunction with the appropriate representation integral, have been used to calculate far-field quantities of physical interest. Numerical results are compared with those from earlier papers dealing with a penny-shaped crack under normal incidence of a longitudinal wave field. The code has also been applied to elliptic crack geometries of various aspect ratios under normal longitudinal wave incidence. Numerical results are given for crack-opening displacements, scattered far fields, and scattering cross sections. The numerical results indicate that at sufficiently high frequencies, the scattering process is significantly affected by the extra length parameter of the elliptic crack.
Skip Nav Destination
Article navigation
June 1988
Research Papers
Scattering From Three-Dimensional Planar Cracks by the Boundary Integral Equation Method
D. E. Budreck,
D. E. Budreck
Department of Mathematics, Iowa State University, Ames, IA 50011
Search for other works by this author on:
J. D. Achenbach
J. D. Achenbach
Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, IL 60208
Search for other works by this author on:
D. E. Budreck
Department of Mathematics, Iowa State University, Ames, IA 50011
J. D. Achenbach
Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, IL 60208
J. Appl. Mech. Jun 1988, 55(2): 405-412 (8 pages)
Published Online: June 1, 1988
Article history
Received:
August 21, 1987
Revised:
December 14, 1987
Online:
July 21, 2009
Citation
Budreck, D. E., and Achenbach, J. D. (June 1, 1988). "Scattering From Three-Dimensional Planar Cracks by the Boundary Integral Equation Method." ASME. J. Appl. Mech. June 1988; 55(2): 405–412. https://doi.org/10.1115/1.3173690
Download citation file:
Get Email Alerts
Related Articles
Axisymmetric Scattering of a Plane Longitudinal Wave by a Circular Crack in a Transversely Isotropic Solid
J. Appl. Mech (September,1991)
Scattering of Elastic Waves by a Plane Crack of Finite Width
J. Appl. Mech (September,1984)
Related Proceedings Papers
Related Chapters
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)
Study on Load Position Switching of Radial Scattering Dispenser
International Conference on Mechanical Engineering and Technology (ICMET-London 2011)
Model and Simulation of Low Elevation Ground-to-Air Fading Channel
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)