Long‐wavelength acoustic propagation in ordered and disordered suapensions
作者:
Lawrence M. Schwartz,
David L. Johnson,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1984)
卷期:
Volume 76,
issue S1
页码: 7-7
ISSN:0001-4966
年代: 1984
DOI:10.1121/1.2022031
出版商: Acoustical Society of America
数据来源: AIP
摘要:
Multiple scattering theory is used to study the propagation of compressional waves in systems comprised of spherical solid grains embedded in an inviscid fluid. In the case of primitive ordered cubic suspensions the problem reduces to a system of coupled equations whose solution is shown to have the form predicted by Biot; i.e., a singlegeometricalparameter α, characterizes the suspension. By contrast, in disordered suspensions, we show that the Biot formula is not rigorously applicable. We argue that a proper theory must treatfluctuationsin the environment of a typical grain. (This is analogous to calculating corrections to the local field in a polarizable media.) These effects introduce dependence of the long wavelength sound speed on (1) the radial (i.e., pair) distribution function and (2) higher scattering multipoles. The extent to which various approximation schemes include these fluctuations is discussed and illustrative calculations for the case of densely packed composites are presented. We point out that the available acoustic data are based on suspensions in which the fluid‐solid density contrast is not great enough to distinguish between competing approximations.
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