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Acoustics of permeo-elastic materials

Published online by Cambridge University Press:  31 August 2017

Rodolfo Venegas Open the ORCID record for Rodolfo Venegas [Opens in a new window]  and
Claude Boutin
Rodolfo Venegas*
Affiliation:
Université de Lyon - Ecole Nationale des Travaux Publics de l’Etat - LGCB/LTDS - UMR-CNRS 5513, Rue Maurice Audin, 69518 Vaulx-en-Velin, France
Claude Boutin
Affiliation:
Université de Lyon - Ecole Nationale des Travaux Publics de l’Etat - LGCB/LTDS - UMR-CNRS 5513, Rue Maurice Audin, 69518 Vaulx-en-Velin, France
*
†Email address for correspondence: [email protected]
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Abstract

In the dynamics of Biot poroelastic materials, the fluid flow is not affected by the deformation of the solid elastic frame. In contrast, in permeable materials whose solid stiff frames have flexible thin flat films attached, i.e. permeo-elastic materials, the fluid flow can be significantly modified by the presence of the films. As a consequence of the local fluid–film interaction, and in particular of the local resonances, the classical local physics is changed and departs from that leading to the Biot description. In this paper, the two-scale asymptotic homogenisation method is used to derive the macroscopic description of sound propagation in air-saturated permeo-elastic materials. This description is asymptotically analysed to determine the conditions for which the geometrical and mechanical properties of the films strongly affect the effective properties of the material. The developed theory is illustrated numerically and validated experimentally for a prototype material, evidencing the atypical acoustic behaviour.

JFM classification

Acoustics: Acoustics Non-Newtonian Flows: Viscoelasticity
Type
Papers
Information
Journal of Fluid Mechanics , Volume 828 , 10 October 2017 , pp. 135 - 174
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Copyright
© 2017 Cambridge University Press 

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