Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams

C. Perrot 1 R. Panneton 1 X. Olny 2
1 GAUS - Groupe d'Acoustique de l'Université de Sherbrooke
Département de génie mécanique [Sherbrooke]
Abstract : In this article, the issue of reconstructing an idealized periodic unit cell (PUC) to represent a porous medium is examined by means of microcomputed tomography (μCT). Using μCT, three-dimensional images of open-cell foam are collected and used to characterize the representative parameters of its cellular morphology. These parameters are used in order to reconstruct the porous medium by means of an idealized PUC: a tetrakaidecahedron with ligaments of triangular cross sections, whose characteristic dimensions have been measured on the μCT images. The proposed reconstruction of the idealized PUC is applied to four aluminum foams. The averaged macroscopic properties of the foams (open porosity and thermal characteristic length) are deduced from their respective PUC model and compared to experimental measurements and literature data. Good correlations are obtained. For each of the foams, this provides a parameterized idealized periodic unit cell on which the partial differential equations governing sound dissipation and propagation in foams can be solved with a view to studying the microphysical basis of the acoustical macrobehavior.
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C. Perrot, R. Panneton, X. Olny. Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams. Journal of Applied Physics, American Institute of Physics, 2007, 101 (11), pp.113538-11. ⟨10.1063/1.2745095⟩. ⟨hal-00731850⟩

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