Numerical Analysis of the Acoustic Signature of a Surface-Breaking Crack

Veom Seok Ahn, John G. Harris, Jan D. Achenbach

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The boundary element method is used to calculate the acoustic signature, produced by a line focus scanning acoustic microscope, of an elastic object containing a surface-breaking crack. The acoustic signature has a vertical (z) and horizontal (x) dependence. A model of the microscope developed in an earlier paper is used here and extended to take account of the crack. The mathematical formulation of the scattering problem for the cracked object leads to hypersingular integral equations. A suitable technique is employed to solve such equations by the boundary element method. An electromechanical reciprocity identity is used to relate the received voltage to the acoustic wavefields collected by the lens. The acoustic wavefield scattered from the cracked object is investigated and curves are presented that display the acoustic signature, as functions of (x,z), for cracks of various depths and orientations. A method is suggested to measure the depth of a surface-breaking crack using the acoustic signature.

Original languageEnglish (US)
Pages (from-to)112-118
Number of pages7
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number1
StatePublished - Jan 1992

ASJC Scopus subject areas

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering

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