title: A mixture approach to the acoustic properties of a macroscopically inhomogeneous porous aluminum in the equivalent fluid approximation.
abstract: The acoustic properties of an air-saturated macroscopically inhomogeneous aluminum foam in the equivalent fluid approximation are studied. A reference sample built by forcing a highly compressible melamine foam with conical shape inside a constant diameter rigid tube is studied first. In this process, a radial compression varying with depth is applied. With the help of an assumption on the compressed pore geometry, properties of the reference sample can be modelled everywhere in the thickness and it is possible to use the classical transfer matrix method as theoretical reference. In the mixture approach, the material is viewed as a mixture of two known materials placed in a patchwork configuration and with proportions of each varying with depth. The properties are derived from the use of a mixing law. For the reference sample, the classical transfer matrix method is used to validate the experimental results. These results are used to validate the mixture approach. The mixture approach is then used to characterize a porous aluminium for which only the properties of the external faces are known. A porosity profile is needed and is obtained from the simulated annealing optimization process.
authors: Département de Recherche en Ingénierie des Véhicules pour l'Environnement - EA1859, Université Bourgogne Franche Comté, Nevers F-58000, France.
authors: C J
authors: CJ
authors: Sacristan
authors: Département de Recherche en Ingénierie des Véhicules pour l'Environnement - EA1859, Université Bourgogne Franche Comté, Nevers F-58000, France.
authors: T
authors: T
authors: Dupont
authors: Département de Recherche en Ingénierie des Véhicules pour l'Environnement - EA1859, Université Bourgogne Franche Comté, Nevers F-58000, France.
authors: O
authors: O
authors: Sicot
authors: Département de Recherche en Ingénierie des Véhicules pour l'Environnement - EA1859, Université Bourgogne Franche Comté, Nevers F-58000, France.
authors: P
authors: P
authors: Leclaire
authors: Groupe d'acoustique de l'Université de Sherbrooke, Département de Génie Mécanique, Université de Sherbrooke, Sherbrooke, Quebec J1K 2R1, Canada.
authors: K
authors: K
authors: Verdière
authors: Groupe d'acoustique de l'Université de Sherbrooke, Département de Génie Mécanique, Université de Sherbrooke, Sherbrooke, Quebec J1K 2R1, Canada.
authors: R
authors: R
authors: Panneton
authors: Laboratoire des Systèmes Mécaniques et Ingénierie Simultanée, Institut Charles Delaunay, Unité Mixte de Recherche CNRS UMR 6281, Université de Technologie de Troyes, 10010 Troyes, France.
authors: X L
authors: XL
authors: Gong