Generation & propagation of anti-plane surface waves on a body with depth-dependent properties

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The generation and propagation of anti-plane surface waves on an inhomogeneous half-space of depth dependent shear modulus and mass density, is discussed in this paper. The radiation of surface waves an anti-plane line load is analyzed by an application of the reciprocity theorem. Next the governing equation for free surface waves is reformulated in a form that is amenable to a surface wave solution in the high frequency range. The boundary condition on the free surface yields an equation for the velocity of surface waves, in terms of the wave number and derivatives of the functions defining the depth dependence of the shear modules and the mass density. This equation does not always have a realvalued solution, and when it does the amplitude of the corresponding wave motion does not always display the decrease with depth that would define a surface wave. Numerical examples are presented to illustrate these observations.

Original languageEnglish (US)
Title of host publicationIUTAM Symposium on Recent Advances of Acoustic Waves in Solids - Proceedings of the IUTAM Symposium on Recent Advances of Acoustic Waves in Solids
EditorsTsung-Tsong Wu, Chien-Ching Ma
PublisherSpringer Verlag
Pages33-43
Number of pages11
ISBN (Print)9789048198924
DOIs
StatePublished - Jan 1 2010
EventIUTAM Symposium on Recent Advances of Acoustic Waves in Solids, 2009 - Taipei, Taiwan, Province of China
Duration: May 25 2009May 28 2009

Publication series

NameIUTAM Bookseries
Volume26
ISSN (Print)1875-3507

Other

OtherIUTAM Symposium on Recent Advances of Acoustic Waves in Solids, 2009
CountryTaiwan, Province of China
CityTaipei
Period5/25/095/28/09

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ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

Achenbach, J. D., & Balogun, O. (2010). Generation & propagation of anti-plane surface waves on a body with depth-dependent properties. In T-T. Wu, & C-C. Ma (Eds.), IUTAM Symposium on Recent Advances of Acoustic Waves in Solids - Proceedings of the IUTAM Symposium on Recent Advances of Acoustic Waves in Solids (pp. 33-43). (IUTAM Bookseries; Vol. 26). Springer Verlag. https://doi.org/10.1007/978-90-481-9893-1_3