Lamb's problem for solids of general anisotropy

C. Y. Wang*, J. D. Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

Abstract

A method to construct solutions for elastic waves generated in a half-space has been developed, based on representing the wave field by a superposition of time-transient plane waves. By the use of this method, the classical Lamb's problem has been solved for a solid of general anisotropy. New expressions for the 2-D and 3-D solutions to Lamb's problem in both the time-domain and the frequency-domain have been obtained. These expressions, which have been given in terms of integrals defined in a finite domain, have a simple structure which is attractive for numerical applications. The usefulness and computability of the integral expressions have been demonstrated by numerical examples.

Original languageEnglish (US)
Pages (from-to)227-242
Number of pages16
JournalWave Motion
Volume24
Issue number3
DOIs
StatePublished - Nov 1996

ASJC Scopus subject areas

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

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