This paper presents an alternative formulation of Biot's theory to account for the elastic frame effects in a porous medium in which the acoustical properties of the fluid phase are predicted with an equivalent fluid model. This approach was originally developed for a double porosity medium. In this paper, the alternative formulation is applied to predict the transmission loss and absorption coefficient in the case of a single layer fibrous material, a multi-layer system, vibrating perforated plates, and porous composite materials. In the proposed formulation the coupling coefficients in Biot's poroelasticity equations are expressed in terms of the dynamic volumic mass and dynamic bulk modulus. By doing so, the elastic properties of the material frame are considered independently from the properties of the fluid. This formulation is implemented in the form of a transfer matrix algorithm which is validated against experimental data on sound absorption and sound transmission which are obtained for a range of various sound excitations and material arrangements. It is shown that this approach is able to predict accurately the acoustical properties of vibrating perforated plates and porous composites. The proposed approach is sufficiently general to be implemented in a finite element method.
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December 2013
December 01 2013
An alternative Biot's formulation for dissipative porous media with skeleton deformation
François-Xavier Bécot;
François-Xavier Bécot
a)
Matelys, 1 rue Baumer, 69120 Vaulx-en-Velin,
France
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Luc Jaouen
Luc Jaouen
Matelys, 1 rue Baumer, 69120 Vaulx-en-Velin,
France
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a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
J. Acoust. Soc. Am. 134, 4801–4807 (2013)
Article history
Received:
October 30 2012
Accepted:
October 04 2013
Citation
François-Xavier Bécot, Luc Jaouen; An alternative Biot's formulation for dissipative porous media with skeleton deformation. J. Acoust. Soc. Am. 1 December 2013; 134 (6): 4801–4807. https://doi.org/10.1121/1.4826175
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