Estimating the dynamic effective mass density of random composites
Estimating the dynamic effective mass density of random composites
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DOI：
10.1121/1.3458849
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发表时间：
2010-08-01
影响因子：
2.4
通讯作者：
Parnell, W. J.
中科院分区：
文献类型：
--
作者：
Martin, P. A.;Maurel, A.;Parnell, W. J.
讨论了非均匀介质的有效质量密度。在各种物理环境中，考虑圆筒形散射体的随机配置：另一种流体中的流体圆柱体、流体或另一种固体中的弹性圆柱体以及流体中的可移动刚性圆柱体。在每种情况下，时间谐波都是散射的，由于Linton和Martin的影响，有效波数的表达式[J]。Acoust。Soc。使用Am. 117, 3413-3423(2005)]推导低频极限下的有效密度，在散射体占据的面积分数中修正到二阶。根据实际情况，可以恢复与Ament公式或有效静态质量密度一致的表达式。(C) 2010年美国声学学会。(DOI: 10.1121/1.3458849)
The effective mass density of an inhomogeneous medium is discussed. Random configurations of circular cylindrical scatterers are considered, in various physical contexts: fluid cylinders in another fluid, elastic cylinders in a fluid or in another solid, and movable rigid cylinders in a fluid. In each case, time-harmonic waves are scattered, and an expression for the effective wavenumber due to Linton and Martin [J. Acoust. Soc. Am. 117, 3413-3423 (2005)] is used to derive the effective density in the low frequency limit, correct to second order in the area fraction occupied by the scatterers. Expressions are recovered that agree with either the Ament formula or the effective static mass density, depending upon the physical context. (C) 2010 Acoustical Society of America. [DOI: 10.1121/1.3458849]