Validity of the one-dimensional limp model for porous media

Olivier Doutres (1) , Nicolas Dauchez (1) , Jean-Michel Génevaux (1) , Olivier Dazel (1)

1 LAUM - Laboratoire d'Acoustique de l'Université du Mans

A straightforward criterion to determine the limp model validity for porous materials is addressed here. The limp model is an "equivalent fluid" model which gives a better description of the porous behavior than the well known "rigid frame" model. It is derived from the poroelastic Biot model assuming that the frame has no bulk stiffness. A criterion is proposed to identify the porous materials for which the limp model can be used. It relies on a new parameter, the Frame Stiffness Influence FSI based on porous material properties. The critical values of FSI under which the limp model can be used, are determined using a 1D analytical modeling for a specific boundary set: radiation of a vibrating plate covered by a porous layer.

Mots clés: Porous media; fibrous; limp model; Biot model; criterion

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Olivier Doutres, Nicolas Dauchez, Jean-Michel Génevaux, Olivier Dazel. Validity of the one-dimensional limp model for porous media. Acta Polytechnica, 2008, 48 (3), ISSN 1210-2709, p61-65. ⟨hal-00354614⟩