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Effective medium method in the problem of axial elastic shear wave propagation through fiber composites

机译:轴向弹性剪切波在纤维复合材料中传播问题的有效介质方法

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摘要

The effective medium method (EMM) is applied to the solution of the problem of monochromatic elastic shear wave propagation through matrix composite materials reinforced with cylindrical unidirected fibers. The dispersion equations for the wave numbers of the mean wave field in such composites are derived using two different versions of the EMM. Asymptotic solutions of these equations in the long and short wave regions are found in closed analytical forms. Numerical solutions of the dispersion equations are constructed in a wide region of frequencies of the incident field that covers long, middle and short wave regions of the mean wave field. Velocities and attenuation factors of the mean wave fields in the composites obtained by different versions of the EMM are compared for various volume concentrations and properties of the inclusions. The main discrepancies in the predictions of different versions of the EMM are indicated, analyzed and discussed. (C) 2003 Elsevier Ltd. All rights reserved. [References: 20]
机译:将有效介质法(EMM)用于解决单色弹性剪切波通过圆柱单向纤维增强的基质复合材料的传播问题。使用两种不同版本的EMM推导此类复合材料中平均波场波数的色散方程。这些方程在长波和短波区域的渐近解以封闭的分析形式发现。色散方程的数值解构造在入射场频率的宽范围内,该范围覆盖了平均波场的长波,中波和短波区域。比较了通过不同版本的EMM获得的复合材料中平均波场的速度和衰减因数,从而得出了各种体积浓度和夹杂物的性能。指出,分析和讨论了不同版本的EMM预测中的主要差异。 (C)2003 Elsevier Ltd.保留所有权利。 [参考:20]

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