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Communication Dans Un Congrès Année : 2012

A direct link between microstructure and acoustical macro-behaviour of real double porosity foams

Fabien Chevillotte
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Luc Jaouen
François-Xavier Bécot
Emmanuel Guillon
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Geert Houvenaghel
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Résumé

The acoustical macro-behaviour of mineral open-cell foam samples is modelled from microstructure morphology using a three-dimensional idealized periodic unit-cell (3D-PUC). The 3D-PUC is based on a regular arrangement of spheres, allowed to interpenetrate during the foaming process. Identification and dimensionning of the 3D-PUC is made from X-ray computed microtomography and fabrication process information. In addition, the 3D-PUC used allows to account for two scales of porosity: the interconnected network of bubbles (meso-porosity) and the inter-crystalline porosity of a gypsum matrix (micro-porosity). Transport properties of the micro- and the meso- scales are calculated from first principles and a hybrid micro-macro method is used in order to determine the frequency-dependent visco-thermal dissipation properties. The double porosity theory provides the visco-thermal coupling between the meso- and micro- scales [J. Acoust. Soc. Am. \textbf{114}, 73–89 (2003)]. Finally, the results are successfully compared with experiments for two different mineral foam samples. The main originality of this work is to maintain a direct link between the microstructure morphology and the acoustical macro-behaviour all along the multi-scale modelling process, without any fitted parameter.
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hal-00811287 , version 1 (23-04-2012)

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  • HAL Id : hal-00811287 , version 1

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Fabien Chevillotte, Camille Perrot, Luc Jaouen, François-Xavier Bécot, Emmanuel Guillon, et al.. A direct link between microstructure and acoustical macro-behaviour of real double porosity foams. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811287⟩
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