Explicit solutions for carrier waves supporting surface waves and plate waves

Jan Drewes Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

Time-harmonic surface waves in a half-space (x 3 ≥ 0) and plate waves in a layer (-h ≤ x 3 ≤ h) of a homogeneous transversely isotropic linearly elastic solid, where the x 1 x 2 -plane is the plane of transverse isotropy, have been reconsidered. The displacement components are expressed in terms of a carrier wave which defines the propagation in the x 1 x 2 -plane, and which supports the sub-surface motion in the half-space and the thickness motion of the plate. The carrier wave can be any solution of the reduced wave equation for a membrane.

Original languageEnglish (US)
Pages (from-to)89-97
Number of pages9
JournalWave Motion
Volume28
Issue number1
DOIs
StatePublished - Jan 1 1998

ASJC Scopus subject areas

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

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