A transverse isotropic equivalent fluid model combining both limp and rigid frame behaviors for fibrous materials

Abstract : Due to the manufacturing process, some fibrous materials like glasswool may be transversely isotropic (TI): fibers are mostly parallel to a plane of isotropy within which material properties are identical in all directions whereas properties are different along the transverse direction. The behavior of TI fibrous material is well described by the TI Biot's model, but it requires to measure several mechanical parameters and to solve the TI Biot's equations. This paper presents an equivalent fluid model that can be suitable for TI materials under certain assumptions. It takes the form of a classical wave equation for the pressure involving an effective density tensor combining both limp and rigid frame behaviors of the material. This scalar wave equation is easily amenable to analytical and numerical treatments with finite element method. Numerical results, based on the proposed model, are compared with experimental results obtained for two configurations with a fibrous material. The first concerns the absorption of an incident plane wave impinging on a fibrous slab and the second corresponds to the transmission loss of a splitter-type silencer in a duct. Both configurations highlight the effect of the sample orientation and give an illustration of the unusual TI behavior for fluids.
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Submitted on : Tuesday, April 17, 2018 - 2:22:35 PM
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Benoit Nennig, Rémy Binois, Nicolas Dauchez, Emmanuel Perrey-Debain, Félix Foucart. A transverse isotropic equivalent fluid model combining both limp and rigid frame behaviors for fibrous materials. Journal of the Acoustical Society of America, Acoustical Society of America, 2018, 143 (4), pp.2089 - 2098. ⟨10.1121/1.5030925⟩. ⟨hal-01768467⟩

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