J. D. Achenbach*, A. K. Gautesen, H. McMaken

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

6 Scopus citations


Methods to analyze diffraction of elastic waves by cracks are discussed in this paper. After a brief review of some elements of elastodynamic diffraction theory, particularly of a representation theorem for the scattered displacement field, approximate solutions are considered for low and high frequency incident waves. Special attention is given to diffracted fields at frequencies in the megahertz range, when the wavelengths are of the same order of magnitude as the characteristic length dimension of the crack. In that range the amplitude of the scattered field as a function of the frequency shows oscillatory behavior with a period which depends on that dimension. It is shown that good approximations at high frequencies can be obtained on the basis of elastodynamic ray theory.

Original languageEnglish (US)
Pages (from-to)33-52
Number of pages20
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - Jan 1 1978
EventASME AMD Elastic Waves and Non-Destr Test of Mater, Symp presented at Winter Annu Meet of ASME - San Francisco, CA, USA
Duration: Dec 10 1978Dec 15 1978

ASJC Scopus subject areas

  • Mechanical Engineering


Dive into the research topics of 'DIFFRACTION OF ELASTIC WAVES BY CRACKS - ANALYTICAL RESULTS.'. Together they form a unique fingerprint.

Cite this