Verification of surface wave solutions obtained by the reciprocity theorem

Haidang Phan, Younho Cho*, Jan D. Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Surface wave motions generated by a time-harmonic point load applied at the surface of an isotropic linearly elastic half-space are conventionally solved by the use of integral transform techniques. The inverse transforms, are often complicated and will not always yield closed-form solutions. In this paper expressions for the displacements for surface wave motions radiated from point-load excitation are determined in a simple manner by the use of the elastodynamic reciprocity theorem. It is shown that the radiated amplitudes of the surface displacements obtained by the reciprocity approach are identical to the corresponding results obtained by the use of Hankel transform and by Lamb in his classical paper.

Original languageEnglish (US)
Pages (from-to)1891-1894
Number of pages4
JournalUltrasonics
Volume54
Issue number7
DOIs
StatePublished - Sep 2014

Keywords

  • Half-space
  • Hankel transform
  • Point load
  • Reciprocity
  • Surface wave

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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