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Modélisation et simulation numérique de matériaux microstructurés pour l'isolation acoustique des cabines d'avion

Abstract : This work is devoted to the study of the propagation of acoustic waves in a porous medium (foams or glass wools). Our objective is thus to obtain, for an equivalent homogeneous domain, a macroscopic system of equations which take into acount the microstructure. The medium is assumed to be periodic in order to take place in the periodic homogenization and the two-scale convergence context. In the first part, because of the industrial applications, we model the problem in the time-harmonic regime, so it is non-coercive. The second part is theoretical. In fact the well-posedeness of the problem is proven. Then we study the two-scale convergence of it. We obtain also two cell problems: a Stokes system on the fluid part and a linear elasticity equation on the solid part, and a macroscopic problem. These three systems are well-posed. Finally, we compare the macroscopic model with the Biot-Allard model. In the third part we give some numericals results.
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https://tel.archives-ouvertes.fr/tel-00562015
Contributor : Adeline Augier <>
Submitted on : Wednesday, February 2, 2011 - 3:48:49 PM
Last modification on : Wednesday, September 16, 2020 - 4:04:54 PM
Long-term archiving on: : Tuesday, November 6, 2012 - 1:15:12 PM

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  • HAL Id : tel-00562015, version 1

Citation

Adeline Augier. Modélisation et simulation numérique de matériaux microstructurés pour l'isolation acoustique des cabines d'avion. Mathématiques [math]. Université Paris Sud - Paris XI, 2010. Français. ⟨tel-00562015v1⟩

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