Surface Waves Guided by a Slit in an Elastic Solid

Abstract

Wave propagation in an isotropic elastic solid containing a slit is studied. The slit is viewed as an open crack of finite width and infinite length. In particular, the propagation of surface waves on the faces of the slit is considered. Making use of a reflection law for the oblique reflection of a Rayleigh wave from the tip of an open half plane crack, surface waves are superimposed to form guided surface waves in the slit. In order to carry out the construction of dispersion relations, an assumption on the rate of decay of body wave modes localized in the vicinity of the edges of the guide is made, and the range of validity of the assumption is discussed. The dispersion relations are obtained by geometrical construction, and representative dispersion curves are shown.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0718372

Entities

People

  • Lambert Ben Freund

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Angle Of Incidence
  • Cartesian Coordinates
  • Dispersion Relations
  • Energy
  • Energy Transfer
  • Frequency
  • Group Velocity
  • Materials
  • Mechanical Waves
  • Phase Velocity
  • Rayleigh Waves
  • Secondary Waves
  • Surface Waves
  • Two Dimensional
  • Wave Propagation
  • Waveguides
  • Waves

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Materials Science (Mechanical Engineering).
  • Structural Dynamics.