Validity of the one-dimensional limp model for porous materials

Details Validity of the one-dimensional limp model for porous materials Validity of the one-dimensional limp model for porous materials

2008-10-17

arxiv.org/abs/0810.3126v1

Physics

Classical Physics

12th International Student Conference on Electrical Engineering, Prague : Tch\`eque, R\'epublique (2008)

Scientific paper

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.

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