Elastodynamic Scattering from a Three-Dimensional Crack in a Fluid-Loaded Halfspace

  • David E. Budreck
  • Ronald A. Roberts
Part of the Advances in Cryogenic Engineering book series (volume 28)


In this article we present the exact solution of the following canonical problem. We consider the scattering system consisting of a fluid-loaded three-dimensional isotropic elastic halfspace, which is homogeneous except for the presence of a finite flat crack. The crack breaks the surface of the halfspace, and in the current formulation is taken to be orientated normal to the halfspace surface.


Rayleigh Wave Elastic Halfspace Exact Model Integral Equation Formalism Canonical Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Budreck, D. E. and J. D. Achenbach (1988), “Three Dimensional Scattering from Planar Cracks by Boundary Integral Equations Methods,” J. Appl. Mech. 55, 405–412.CrossRefMATHGoogle Scholar
  2. 2.
    Roberts, R. A. (1990) “Elastodynamic Response of Contacting Fluid and Solid Half-Spaces to a Three-Dimensional Point Load”, Wave Motion 12, 583–593.CrossRefGoogle Scholar
  3. 3.
    Budreck, D. E. and J. D. Achenbach (1989) “3-D Elastic Wave Scattering by Surface- Breaking Cracks,” J. Acoust Soc Am. 86, 395–406.CrossRefGoogle Scholar
  4. 4.
    Auld, B. A. (1979) “General Electromechanical Reciprocity Relations Applied to the Calculation of Elastic Wave Scattering Coefficients”, Wave Motion 1, 3–10.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • David E. Budreck
    • 1
  • Ronald A. Roberts
    • 2
  1. 1.Department of Mathematics and Dept. of Aerospace Engineering and Engineering MechanicsIowa State UniversityAmesUSA
  2. 2.Center for Nondestructive EvaluationIowa State UniversityAmesUSA

Personalised recommendations