Diffraction of a plane pulse by a closed crack at the interface of elastic solids

L. B. Freund*, Jan Drewes Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Transient diffraction of a plane dilatational pulse is studied. The diffracting surface is a semi‐infinite closed crack at the interface of two elastic solids of different material properties. The problem is solved by application of Laplace transform methods and the Wiener‐Hopf technique. The inverse transforms are evaluated by means of Cagniard's method. The displacement potentials in each solid are obtained in the form of real integrals. For an incident dilatational impulse, closed form expressions are derived for the displacement field. For this case the displacements at the interface are shown in graphs, and they are compared with the corresponding displacements when the two solids are of equal material properties.

Original languageEnglish (US)
Pages (from-to)173-185
Number of pages13
JournalZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Volume48
Issue number3
DOIs
StatePublished - Jan 1 1968

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

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