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Microstructure-based numerical modeling of the solid-fluid coupling interaction in acoustic foams

机译:基于微观结构的声泡沫固液耦合相互作用数值模型

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摘要

In this paper, based on a representative volume element (RVE) and Slattery’s averaging theorem, parameters of Biot’s poroelastic equations for homogenous isotropic porous materials are obtained. According to Slattery’s averaging theorem, the coupling terms, which describe the inertial effects and the viscous effects, are represented by an integral of the solid-fluid interaction force. This relation provides a new approach to obtain the parameters required in Biot’s equations through a direct numerical simulation of the RVE. An example of a 2D RVE is given and simulations of sound propagation in an impedance tube with a foam are conducted using Biot’s equations. It is shown that the numerical coupling mass obtained from this new approach behaves qualitatively the same as an associated phenomenological model.
机译:本文基于代表性的体积元(RVE)和Slattery的平均定理,获得了均质各向同性多孔材料的Biot孔隙弹性方程参数。根据Slattery的平均定理,耦合项描述了惯性效应和粘性效应,由固液相互作用力的积分表示。这种关系提供了一种通过对RVE进行直接数值模拟来获得Biot方程所需参数的新方法。给出了一个2D RVE的示例,并使用Biot方程对带有泡沫的阻抗管中的声音传播进行了仿真。结果表明,从这种新方法获得的数值耦合质量在质量上与相关的现象学模型相同。

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