Pore-scale bending and membrane effects in permeo-elastic media

Boutin, C; Venegas, R

Abstract

Permeo-elastic media are permeable media whose pore fluid network is connected and their solid frame is made of a stiff skeleton onto which highly flexible thin films are fixed. In this work, we investigate acoustic wave propagation in permeo-elastic media accounting for pore-scale membrane and bending effects in the films. To this end, use is made of the two-scale asymptotic homogenisation method to derive upscaled models, of asymptotic analyses to disclose the different wave propagation regimes, and of the finite element method to solve the local fluid-structure interaction boundary-value problems arising from homogenisation. The study evidences the salient acoustic features of permeo-elastic media and shows that these may significantly depart from those of conventional porous media due to the interplay of the elastic and kinetic energies of the films with the viscous and kinetic energies of the fluid. It is concluded that the control of membrane and bending effects may lead to a useful way of tuning the atypical effective acoustical properties of permeo-elastic media.

Citation

Boutin, C., & Venegas, R. (2020). Pore-scale bending and membrane effects in permeo-elastic media. Mechanics of Materials, 145, 103362. https://doi.org/10.1016/j.mechmat.2020.103362

• Journal Article Type: Article
• Acceptance Date: Feb 13, 2020
• Online Publication Date: Feb 14, 2020
• Publication Date: Jun 1, 2020
• Deposit Date: Jun 3, 2020
• Journal: Mechanics of Materials
• Print ISSN: 0167-6636
• Publisher: Elsevier
• Volume: 145
• Pages: 103362
• DOI: https://doi.org/10.1016/j.mechmat.2020.103362
• Publisher URL: https://doi.org/10.1016/j.mechmat.2020.103362
• Related Public URLs: http://www.journals.elsevier.com/mechanics-of-materials/
• Additional Information: Funders : COST (European Cooperation in Science and Technology);CeLyA of Université de Lyon; Projects : COST Action DENORMS;ANR; Grant Number: CA15125; Grant Number: ANR 10 Labex 0060 and ANR 11 IDEX - 0007