Rayleigh wave correction for the BEM analysis of two-dimensional elastodynamic problems in a half-space

I. Arias*, J. D. Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

A simple, elegant approach is proposed to correct the error introduced by the truncation of the infinite boundary in the BEM modelling of two-dimensional wave propagation problems in elastic half-spaces. The proposed method exploits the knowledge of the far-field asymptotic behaviour of the solution to adequately correct the BEM displacement system matrix for the truncated problem to account for the contribution of the omitted part of the boundary. The reciprocal theorem of elastodynamics is used for a convenient computation of this contribution involving the same boundary integrals that form the orìginal BEM system. The method is formulated for a two-dimensional homogeneous, isotropic, linearly elastic half-space and its implementation in a frequency domain boundary element scheme is discussed in some detail. The formulation is then validated for a free Rayleigh pulse travelling on a half-space and successfully tested for a benchmark problem with a known approximation to the analytical solution.

Original languageEnglish (US)
Pages (from-to)2131-2146
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Volume60
Issue number13
DOIs
StatePublished - Aug 7 2004

Keywords

  • 2D elastodynamics
  • Boundary truncation
  • Frequency domain BEM
  • Infinite domain
  • Rayleigh waves

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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