A theoretical study on scattering of surface waves by a cavity using the reciprocity theorem

H. Phan, Y. Cho*, Jan Drewes Achenbach

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter


Scattering of surface waves by a two-dimensional cavity, which is on the free surface of an elastic half-space, is theoretically investigated in the current paper. It is shown that the expressions for the scattered field displacements are derived in an elegant approach by using the reciprocity theorem and the decomposition technique that decomposes the total field into incident and scattered fields. The displacements of the scattered field then can be analytically obtained by the reciprocity theorem. The achieved solutions are verified by the Boundary Element Method (BEM) modeling of two-dimensional wave propagation in elastic half-spaces that applies a truncation of the in finite boundary to account for the contribution of the omitted part. The comparisons of displacements are graphically displayed and show the agreements between analytical and numerical results.

Original languageEnglish (US)
Title of host publicationNondestructive Testing of Materials and Structures
Subtitle of host publicationProceedings of NDTMS-2011, Istanbul, Turkey,May 15-18, 2011
Number of pages6
StatePublished - Dec 1 2012

Publication series

NameRILEM Bookseries
ISSN (Print)2211-0844
ISSN (Electronic)2211-0852


  • BEM
  • Cavity
  • Half-space
  • Reciprocity theorem
  • Surface wave

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Building and Construction

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