Diffraction of ultrasonic waves by penny-shaped cracks in metals: Theory and experiment

Jan Drewes Achenbach, Harry McMaken

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


In this paper an analytical solution to the diffraction of elastic waves by penny-shaped cracks in metals is compared with experimental observations. The analysis, which is based on elastodynamic ray theory, is valid for the region of ka > 1. A digitized spectrum analysis system is described which measures the frequency components of the waves diffracted from a 2500-μ-radius crack in diffusion bonded titanium. The amplitude spectra show good agreement between experiment and theory. The theoretically predicted periodicity of the diffracted spectra provides a simple formula for the inverse problem. Application of this formula to the experimental measurements determines the crack size with excellent accuracy.

Original languageEnglish (US)
Pages (from-to)1848-1856
Number of pages9
JournalJournal of the Acoustical Society of America
Issue number6
StatePublished - Jan 1 1979

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Arts and Humanities (miscellaneous)


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