title: The inverse problem of acoustic wave scattering by an air-saturated poroelastic cylinder.
abstract: The efficient use of plastic foams in a diverse range of structural applications like in noise reduction, cushioning, and sleeping mattresses requires detailed characterization of their permeability and deformation (load-bearing) behavior. The elastic moduli and airflow resistance properties of foams are often measured using two separate techniques, one employing mechanical vibration methods and the other, flow rates of fluids based on fluid mechanics technology, respectively. A multi-parameter inverse acoustic scattering problem to recover airflow resistivity (AR) and mechanical properties of an air-saturated foam cylinder is solved. A wave-fluid saturated poroelastic structure interaction model based on the modified Biot theory and plane-wave decomposition using orthogonal cylindrical functions is employed to solve the inverse problem. The solutions to the inverse problem are obtained by constructing the objective functional given by the total square of the difference between predictions from the model and scattered acoustic field data acquired in an anechoic chamber. The value of the recovered AR is in good agreement with that of a slab sample cut from the cylinder and characterized using a method employing low frequency transmitted and reflected acoustic waves in a long waveguide developed by Fellah et al. [Rev. Sci. Instrum. 78(11), 114902 (2007)].
authors: Laboratoire de Mécanique et d'Acoustique UPR7051 CNRS, 31 chemin Joseph Aiguier, 13402 Marseille cedex 20, France. ogam@lma.cnrs-mrs.fr
authors: Erick
authors: E
authors: Ogam
authors: Z E A
authors: ZE
authors: Fellah
authors: Paul
authors: P
authors: Baki
mesh_terms: D000162:Acoustics; D003198:Computer Simulation; D055119:Elastic Modulus; D008422:Materials Testing; D008962:Models, Theoretical; D009038:Motion; D009716:Numerical Analysis, Computer-Assisted; D010969:Plastics / Q000737:chemistry*; D016062:Porosity; D011312:Pressure; D015203:Reproducibility of Results; D012212:Rheology; D012542:Scattering, Radiation; D012815:Signal Processing, Computer-Assisted; D013016:Sound; D014227:Triazines / Q000737:chemistry; D014732:Vibration
chemical_list: D010969:Plastics; D014227:Triazines; C011907:melamine