Resonant Scattering of Elastic Waves from Spherical Solid Inclusions.

Abstract

Previous investigations concerning the scattering of elastic waves from solid spherical inclusions have furnished expressions for the scattering cross sections which, upon numerical evaluation, exhibited resonance-like features as a function of frequency. In the present work, we study these resonances in a fashion suggested by the resonance theory of acoustic scattering. The resonances of the solid inclusions, exemplified by iron or lucite spheres imbedded in an aluminum matrix, are found numerically in the individual normal-mode scattering amplitudes, and are interpreted in terms of phase-matched circumferential waves. Dispersion curves for the phase velocities of the latter are obtained, exhibiting two families of waves of different type. Finally, the connection of these waves with the Stoneley waves on the boundary between two flat half-spaces is noted in the high-frequency limit.

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Document Details

Document Type
Technical Report
Publication Date
Sep 27, 1979
Accession Number
ADA075659

Entities

People

  • Herbert Ueberall
  • Lawrence Flax

Organizations

  • The Catholic University of America

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Resonance
  • Acoustic Scattering
  • Aluminum
  • Diffraction
  • Elastic Waves
  • Equations
  • Frequency
  • Materials
  • Military Research
  • Phase Velocity
  • Resonance
  • Resonance Scattering
  • Scattering
  • Scattering Cross Sections
  • Secondary Waves
  • Surface Waves
  • Waves

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris