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首页> 外文期刊>International Journal of Solids and Structures >Extinction of elastic wave energy due to scattering in a viscoelastic medium
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Extinction of elastic wave energy due to scattering in a viscoelastic medium

机译：由于在粘弹性介质中的散射而导致的弹性波能量的消光

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摘要

Forward scattering theorem for elastic longitudinal and shear wave scatterings by an arbitrary-shaped three-dimensional object embedded in a viscoelastic medium is derived. It is shown that the formulae for extinction cross-sections of an object in an energy-absorbing medium are formally the same with those of the object in the lossless elastic medium. Numerical calculations are executed for the longitudinal wave scattering in an epoxy matrix by a spherical inclusion with different material properties. The condition of negative extinction is examined with the causality constraint on the viscoelastic medium taken into account. It is found that the negative extinction occurs in the Rayleigh limit when the attenuation of the medium is sufficiently high and, more restrictedly, the wave speed in the object is larger than that in the medium, while it occurs less likely in the high frequency range considered in this paper (0 < ka < 100). (C) 2003 Elsevier Ltd. All rights reserved. [References: 22]
机译：推导了嵌入粘弹性介质中的任意形状的三维物体对弹性波的纵向散射和剪切波散射的正向散射定理。结果表明，能量吸收介质中物体的消光截面公式与无损弹性介质中物体的消光截面公式正式相同。通过具有不同材料特性的球形夹杂物对环氧基体中的纵向波散射进行数值计算。考虑到对粘弹性介质的因果关系约束，检查了消光条件。发现当介质的衰减足够高时，在瑞利极限中会出现负消光，并且更严格地，对象中的波速大于介质中的波速，而在高频范围内发生的可能性较小本文考虑（0

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