弹性波在多孔介质中传播的均匀化阻尼模型
A homogenized damping model for the propagation of elastic wave in a porous solid
摘要：
本文发展了一种基于本征函数展开法和协作法相结合的平均技术，研究了SH波在多孔介质中传播的多次散射效应。采用Monto Carlo方法，利用半解析平均技术研究了多孔介质中多次散射效应引起的应力波传播的宏观频散和衰减现象。通过有限元分析验证了平均技术。最后，提出了一个简单的均匀化阻尼弹性模型来描述SH波在多孔介质中的宏观频散和衰减效应。
英文摘要：
This paper develops an averaging technique based on the combination of the eigenfunction expansion method and the collaboration method to investigate the multiple scattering effect of the SH wave propagation in a porous medium. The semi-analytical averaging technique is conducted using Monto Carlo method to understand the macroscopic dispersion and attenuation phenomena of the stress wave propagation in a porous solid caused by the multiple scattering effects. The averaging technique is verified by finite element analysis. Finally, a simple homogenized elastic model with damping is proposed to describe the macroscopic dispersion and attenuation effects of SH waves in porous media.
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