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含随机分布球形散射体的热粘弹性介质的有效波数。

Effective wave numbers for thermo-viscoelastic media containing random configurations of spherical scatterers.

机构信息

Laboratoire Ondes et Milieux Complexes, UMR CNRS 6294, Groupe Ondes Acoustiques, Université du Havre, place R. Schuman, 76610 Le Havre, France.

出版信息

J Acoust Soc Am. 2012 Feb;131(2):1113-20. doi: 10.1121/1.3672690.

DOI:10.1121/1.3672690
PMID:22352486
Abstract

The dispersion relation is derived for the coherent waves in fluid or elastic media supporting viscous and thermal effects and containing randomly distributed spherical scatterers. The formula obtained is the generalization of Lloyd and Berry's [Proc. Phys. Soc. London 91, 678-688 (1967)], the latter being limited to fluid host media, and it is the three-dimensional counterpart of that derived by Conoir and Norris [Wave Motion 47, 183-197 (2010)] for cylindrical scatterers in an elastic host medium.

摘要

对于存在粘性和热效应且包含随机分布球形散射体的流体或弹性介质中的相干波,推导出了其频散关系。所得到的公式是 Lloyd 和 Berry 的工作的推广[Proc. Phys. Soc. London 91, 678-688 (1967)],后者仅限于流体主介质,并且它是 Conoir 和 Norris 的工作的三维对应物[Wave Motion 47, 183-197 (2010)],适用于弹性主介质中的圆柱形散射体。

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