Ultrasonic reflection by a planar distribution of cracks

D. A. Sotiropoulos*, J. D. Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


Ultrasonic wave reflection and transmission by planar crack distributions is considered. General expressions for the reflection and transmission coefficients are derived for incident longitudinal and transverse time harmonic plane waves. For low frequencies, closed-form algebraic expressions are given in terms of the geometrical parameters, the material constants, and the incident wavefield. The results have been extended to statistical distributions, and reflection coefficients for equivalent statistical and deterministic distributions of penny-shaped cracks are compared. It is also shown that the Mode-I stress-intensity factor for a distribution of equal-sized cracks can be directly related to reflection data.

Original languageEnglish (US)
Pages (from-to)123-129
Number of pages7
JournalJournal of Nondestructive Evaluation
Issue number3-4
StatePublished - Dec 1988
Externally publishedYes


  • Diffusion bonds
  • cracks
  • reflection
  • stress-intensity factors
  • ultrasonics

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


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