Spatial localization of linear elastic waves in composite materials with defects
Spatial localization of linear elastic waves in composite materials with defects
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DOI：
10.1002/zamm.201200273
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
I. Andrianov;Vladyslav V. Danishevs'kyy;J. Awrejcewicz
中科院分区：
文献类型：
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作者：
I. Andrianov;Vladyslav V. Danishevs'kyy;J. Awrejcewicz
本文研究了含局部缺陷的周期性复合材料中弹性波的空间局部化现象。非均匀复合固体中的波谱包括通带和止带。如果信号的频率福尔斯落在阻带内，则群速度为零，并且波按指数衰减。在这种情况下，微结构的局部扰动可能导致缺陷附近的波能局部化。考虑了层状复合材料中的纵向拉压波和单向纤维复合材料中的横向反平面剪切波。考虑到局部扰动的密度和体积分数的组件。分析基于传递矩阵法和平面波展开法。结果，确定了波局部化的频率和相应的衰减因子。
We study the phenomenon of a spatial localization of elastic waves in periodic composite materials with local defects. The wave spectrum in heterogeneous composite solids includes pass and stop frequency bands. If the frequency of the signal falls within a stop band, the group velocity vanishes and the wave attenuates exponentially. In such a case, a local perturbation of the microstructure may lead to the localization of the wave energy in the vicinity of the defect. Longitudinal tension‐compression waves in a layered composite and transverse antiplane shear waves in a unidirectional fibrous composite are considered. Local perturbations of the density and of the volume fractions of the components are taken into account. The analysis is based on the transfer‐matrix method and on the plane‐wave expansions method. As the result, the frequencies of the wave localization and the corresponding attenuation factors are determined.