Multiple scattering of elastic waves in a fiber-reinforced composite
Multiple scattering of elastic waves in a fiber-reinforced composite
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DOI：
10.1016/0022-5096(94)90020-5
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发表时间：
1994-12
影响因子：
5.3
通讯作者：
Ruey-Bin Yang;A. Mal
中科院分区：
文献类型：
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作者：
Ruey-Bin Yang;A. Mal
研究了弹性波在含有随机分布的平行纤维的复合材料中的传播。同时考虑了反平面(SH波)和面内(P波和SV波)的情况。利用广义自洽模型(GSCM)实现了多重散射理论和统计平均过程。非均匀介质中的多次散射导致波的速度和衰减与频率有关。在较宽的频率和浓度范围内，计算了相干波的有效相速度和衰减。确定了纤维之间的相互作用程度，并通过直接分析和近似均匀化计算了给定夹杂物中的平均应变。该方法在瑞利极限下恢复了纤维增强复合材料的三个已知的静力等效模，在较高频率下得到的结果在物理上是合理的。
Propagation of elastic waves in a composite containing randomly distributed parallel fibers is studied in this paper. Both anti-plane (SH waves) and in-plane (P and SV waves) cases are considered. A multiple scattering theory and a statistical averaging procedure are implemented by means of the so-called Generalized Self Consistent Model (GSCM). Multiple scattering in the inhomogeneous medium results in a frequency dependent velocity and attenuation of the waves. The effective phase velocity and attenuation of the coherent waves are calculated for a wide range of frequencies and concentrations. The degree of interaction between the fibers is determined and the average strain calculated in a given inclusion by direct analysis and approximate homogenization is compared. The proposed method recovers three well-known static effective moduli of fiber-reinforced composites in the Rayleigh limit and the results at higher frequencies are physically reasonable.