General method to retrieve all effective acoustic properties of fully-anisotropic fluid materials in three dimensional space - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Applied Physics Année : 2019

General method to retrieve all effective acoustic properties of fully-anisotropic fluid materials in three dimensional space

Résumé

Anisotropic fluid materials are of growing interest with the development of metamaterials and transformation acoustics. In the general three-dimensional case, such materials are characterized by a bulk modulus and a full symmetric matrix of density. Here, a method is presented to retrieve the bulk modulus and all six components of the density matrix from a selected set of six incident plane waves impinging on a layer of the material. From the six components of the density tensor, the three principal directions and the three principal densities of the material are recovered. The approach relies on the analytical expression of the reflection and transmission coefficients derived from a state vector analysis. It results in simple, closed-form, and easily-implementable inverse relations for the material parameters. As an illustration, the case of sound propagation through an orthorhombic lattice of overlapping air-filled ellipsoids is considered. The effective complex and frequency-dependent bulk modulus and density matrix are derived from homogenization cell problems and account for viscothermal losses. The retrieval method is then applied to the homogenized layer and results bear testament to its robustness to extract accurately all seven material parameters. This makes possible the characterization and design of anisotropic fluid materials in three dimensions.
Fichier principal
Vignette du fichier
1.5066608.pdf (1.33 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-02109990 , version 1 (25-04-2019)

Identifiants

Citer

Arthur Terroir, Logan Schwan, Théo Cavalieri, Vicente Romero-García, Gwenael Gabard, et al.. General method to retrieve all effective acoustic properties of fully-anisotropic fluid materials in three dimensional space. Journal of Applied Physics, 2019, 125 (2), pp.025114. ⟨10.1063/1.5066608⟩. ⟨hal-02109990⟩
50 Consultations
120 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More