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A comparison of stochastic and effective medium approaches to the backscattered signal from a porous layer in a solid matrix

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posted on 04.12.2012, 11:55 by Valerie PinfieldValerie Pinfield, Richard E. Challis, Robert A. Smith
This paper reports a study of the backscattering behavior of a solid layer containing randomly spaced spherical cavities in the long wavelength limit. The motivation for the work arises from a need to model the responses of porous composite materials in ultrasonic NDE procedures. A comparison is made between models based on a summation over discrete scatterers, which show interesting emergent properties, and an integral formulation based on an ensemble average, and with a simple slab effective medium approximation. The similarities and differences between these three models are demonstrated. A simple quantitative criterion is established which sets the maximum frequency at which ensemble average or equivalent homogeneous medium models can represent echo signal generation in a porous layer for given interpore spacing, or equivalently, given pore size and concentration.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Chemical Engineering

Citation

PINFIELD, V.J., CHALLIS, R.E. and SMITH, R.A., 2011. A comparison of stochastic and effective medium approaches to the backscattered signal from a porous layer in a solid matrix. Journal of the Acoustical Society of America, 130 (1), pp.122-134.

Publisher

© Acoustical Society of America

Version

VoR (Version of Record)

Publication date

2011

Notes

This article was published in the Journal of the Acoustical Society of America and is also available at: http://dx.doi.org/10.1121/1.3598461

ISSN

0001-4966

Language

en