This paper aims to clarify the homogenization results of the fluid–structure interaction in porous structures under the quasi-static and dynamic loading regimes. In the latter case, the acoustic fluctuations yield naturally a linear model which can be introduced in the configuration deformed as the consequence of the steady permanent flow. We consider a Newtonian slightly compressible fluid under the barotropic acoustic approximation. In contrast with usual simplifications, the advection phenomenon of the Navier–Stokes equations is accounted for. The homogenization results are based on the periodic unfolding method combined with the asymptotic expansion technique which provide a straight procedure leading the local problems for corrector functions yielding the effective model parameters and the macroscopic model. We show that the local problems for the solid and fluid parts are decoupled even in the dynamic interactions including the wall shear stress on the periodic interfaces. The dynamic permeability depends on the fluid flow properties including the advection effects associated with an assumed stationary perfusion of the porous structure.

本文旨在阐明准静态和动态载荷条件下多孔结构中流固耦合的均质化结果。在后一种情况下，声波波动自然会产生线性模型，该模型可以引入由于稳定的永久流动而变形的构造中。我们考虑在正压声近似下的牛顿微压缩流体。与通常的简化相反，考虑了Navier-Stokes方程的对流现象。均质化结果基于周期性展开方法和渐近展开技术，该方法提供了一种直接程序，从而导致校正函数产生局部问题，从而产生有效的模型参数和宏观模型。我们表明，即使在包括周期界面上的壁面剪应力在内的动力相互作用中，固体和流体部分的局部问题也解耦了。动态渗透率取决于流体流动特性，包括与假定的多孔结构的固定灌注相关的平流效应。