Reflection and transmission of obliquely incident rayleigh waves by a surface-breaking crack

Y. C. Angel, J. D. Achenbach

Research output: Contribution to journalArticlepeer-review

99 Scopus citations

Abstract

Reflection, transmission, and scattering of Rayleigh waves that are obliquely incident on a surface-breaking crack are investigated. The formulation of the problem has been reduced to two systems of singular integral equations of the first kind for the dislocation densities across the crack faces. The systems of integral equations are solved numerically. Substitution of the dislocation densities into appropriate representation integrals yields the reflected and transmitted surface waves. Reflection and transmission coefficients are plotted versus the angle of incidence for various values of the frequency and versus the frequency for various values of the angle of incidence. A critical angle of incidence, which depends on the material properties of the solid, has been observed. Beyond this angle no mechanical energy is radiated into the solid by body waves.

Original languageEnglish (US)
Pages (from-to)313-319
Number of pages7
Journaljournal of the Acoustical Society of America
Volume75
Issue number2
DOIs
StatePublished - Feb 1984

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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