Mathematical modelling of ultrasonic wave scattering by sub-surface cracks

J. D. Achenbach*, W. Lin, L. M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Scattering of ultrasonic signals by a sub-surface crack in a specimen which is immersed in a water bath has been analysed on the basis of a mathematical model, which accounts for: (1) signal transmission across the water-solid interface; (2) partial illumination of the crack; (3) the relaiton between the crack-opening displacement and the received transducer signal; and (4) an accurate mathematical computation of the crack-opening displacement in the frequency domain. The modelling from the specified initial electrical pulse to the measured scattered signal is completed by converting the frequency-domain results to the time domain. Results are presented for both the pulse-echo and the pitch-catch configuration, and for a number of crack orientations and crack depths.

Original languageEnglish (US)
Pages (from-to)207-215
Number of pages9
Issue number4
StatePublished - Jul 1986


  • crack characterization
  • models
  • wave scattering

ASJC Scopus subject areas

  • Acoustics and Ultrasonics


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