Higher harmonics in the far field due to dynamic crack-face contacting

S. Hirose, J. D. Achenbach

Research output: Contribution to journalArticlepeer-review

73 Scopus citations


The dynamic problem of contacting crack faces due to incident wave motion is numerically solved by using the boundary element method. The crack is a penny-shaped crack in a stressed elastic solid of infinite extent. The crack is subjected to normal incidence of a longitudinal wave. The contact-boundary conditions with no overlap and no friction on the crack faces give rise to a boundary-type nonlinear problem. A time-domain boundary integral equation is numerically solved by a step-by-step time marching scheme. Crack face solutions are calculated as well as scattered far fields. Fourier amplitudes of higher harmonics of the scattered far fields are obtained as functions of the state of pre-stress.

Original languageEnglish (US)
Pages (from-to)142-147
Number of pages6
Journaljournal of the Acoustical Society of America
Issue number1
StatePublished - Jan 1993

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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