Effects of sinusoidal crack-face perturbations on scattering of elastic waves

R. A. Roberts*, R. J. Brind, Jan Drewes Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The scattering of a plane longitudinal wave from a two-dimensional crack, with a sinusoidal surface perturbation whose amplitude and wavelength are much smaller than the length of the crack, is investigated. The amplitude of the cylindrical body waves in the far field are calculated from a Kirchhoff approximation that utilizes the solution to the reflection from the sinusoidal surface profile of a semiinfinite solid. The results are compared to those for a flat crack, and conditions for significant differences of the amplitude as a function of the angle of observation are discussed. Characteristic changes in the scattered field produced by profiles with different amplitudes and periods are explained.

Original languageEnglish (US)
Pages (from-to)153-159
Number of pages7
JournalJournal of Nondestructive Evaluation
Issue number3-4
StatePublished - Dec 1 1981


  • cracks
  • NDE
  • periodic surface perturbation
  • scattering
  • ultrasonics

ASJC Scopus subject areas

  • Materials Science (miscellaneous)


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