Shear waves in an elastic wedge

J. D. Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

An elastic wedge of interior angle χπ is subjected to spatially uniform but time-dependent shear tractions, which are applied to one or both faces of the wedge, parallel to the line of intersection of the faces. The transient wave propagation problem is solved by taking advantage of the dynamic similarity which characterizes problems without a fundamental length in the geometry. The shear stress τθz is evaluated, and it is found that the singularity near the vertex of the wedge is of the form r( 1 χ)-1 (1 - χ). The results show that the stress is not singular for interior angles less than π. As a special case we obtain the dynamic shear stress generated by the sudden opening of a semi-infinite crack in a homogeneously sheared unbounded medium.

Original languageEnglish (US)
Pages (from-to)379-388
Number of pages10
JournalInternational Journal of Solids and Structures
Volume6
Issue number4
DOIs
StatePublished - Apr 1970
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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