SHEAR WAVES IN AN ELASTIC WEDGE

Abstract

An elastic wedge of interior angle n(pi) 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 is evaluated, and it is found that the singularity hear the vertex of the wedge is of the form r to the ((1/n)-1) power. The results show that the stress is not singular for interior angles less than pi. 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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0690226

Entities

People

  • J. D. Achenbach

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Analytic Functions
  • California
  • Diffraction
  • Elastic Waves
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Geometry
  • Integrals
  • Mathematics
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • Secondary Waves
  • Shear Stresses
  • Wave Propagation
  • Waves

Readers

  • Fluid Dynamics.