Scattering of longitudinal and transverse waves by a sub-surface crack

R. J. Brind*, J. D. Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


The scattering of time-harmonic longitudinal and transverse waves by a two-dimensional sub-surface crack, which is perpendicular to the free surface of an elastic half-space, is investigated. The boundary-value problem for the scattered field is reduced to an uncoupled system of singular integral equations, which are solved numerically. At large distances from the crack the scattered field is shown to consist of outgoing Rayleigh and cylindrical body waves, and expressions for the time averaged power flux in the latter are given. Graphs of the variation of these quantities with the frequency and the angle of observation are presented for the case of a body wave incident at 45° to the surface. These results are compared to the corresponding results for a surface-breaking crack. Some reciprocity relations, between the scattered far-fields generated by different incident waves, which provide a check on the analysis, are examined.

Original languageEnglish (US)
Pages (from-to)555-563
Number of pages9
JournalJournal of Sound and Vibration
Issue number4
StatePublished - Oct 22 1981

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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