Radiation of ultrasound into an anisotropic solid

Q. C. Guo*, Jan Drewes Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A half-space, x3 ≤ 0, of a transversely isotropic solid whose axis of symmetry makes an angle α with the x3-axis, is subjected to a spatially uniform time-harmonic distribution of normal surface tractions over a circular area of the plane x3 = 0. The wave motion radiated into the half-space is investigated. Using an integral representation for the displacement components the problem is first reduced to a system of singular integral equations for the displacements on the surface x3 = 0. This system is solved by the boundary element method over a truncated area, where use is made of recently derived simplified forms of the Green's functions. The results show the skewing of the beam as the angle between the axis of symmetry of the transversely isotropic solid and the normal to the surface of the solid is increased.

Original languageEnglish (US)
Pages (from-to)449-456
Number of pages8
JournalUltrasonics
Volume33
Issue number6
DOIs
StatePublished - Jan 1 1995

Keywords

  • Green's functions
  • anisotropy
  • beam skewing
  • boundary element method

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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