University of Illinois Urbana-Champaign

Leaky rayleigh wave scattering from elastic media with random microstructures

Zhang, Yuan; Weaver, Richard L.

Permalink

https://hdl.handle.net/2142/112457

Description

Title
Leaky rayleigh wave scattering from elastic media with random microstructures
Author(s)
  • Zhang, Yuan
  • Weaver, Richard L.
Issue Date
1994-08
Keyword(s)
  • Leaky Rayleigh Wave
  • Elastic Media
  • Scattering
Abstract
We study the scattering of leaky Rayleigh wave from a flat fluid-solid interface. The fluid half-space is taken to be ideal and homogeneous while the solid halfspace has randomly inhomogeneous anisotropic elastic constants due to the microstructure of the material. For plane waves incident from the fluid onto the interface at the critical Rayleigh angle the singly scattered incoherent field is obtained by utilizing a first Born approximation. When the solid is a crystal aggregate and when the correlation function is of exponential form, the mean square scattered signal level is found to be inversely proportional to the dimensionless frequency in the geometrical (high frequency) limit but proportional to the third power of frequency in the Rayleigh (low frequency) limit. Numerical results are given for water-aluminum (cubic polycrystals) interface scattering.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 764
  • 1994-6020
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112457
Sponsor(s)/Grant Number(s)
National Science Foundation 94/08
Copyright and License Information
Copyright 1994 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.