Abstract
This article is a bibliographical revision concerning acoustic absorbing materials, also known as poroelastics. These absorbing materials are a passive medium use extensively in the industry to reduce noise. This review presents the fundamental parameters that define each of the parts comprising these materials, as well as current experimental methods used to measure said parameters. Further along, we will analyze the principle models of characterization in order to study the behaviour of poroelastic materials. Given the lack of accuracy of the standing wave method three absorbing materials are characterized using said principle models. A comparison between measurements with the standing wave method and the predicted surface impedance with the models is shown.
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References
Allard JF (1993) Propagation of sound in porous media: modelling sound absorbing materials. Elsevier, Ireland
Allard JF, Champoux Y (1992) New empirical equations for sound propagation in rigid frame fibrous materials. J Acoust Soc Am 91:3346–3353
Allard JF, Depollier C, Aknine A (1986) Acoustical properties of partially reticulated foams with high and medium flow resistance. J Acoust Soc Am 79:1734–1740
Allard JF, Depollier C, Rebillard P, Lauriks W, Cops A (1989) Inhomogeneous Biot waves in layered media. J Appl Phys 66:2278–2284
Allard JF, Depollier C, Guignouard P, Rebillard P (1991) Effect of a resonance of the frame on the surface impedance of glass wool of high density and stiffness. J Acoust Soc Am 89(3):999–1001
Attenborough K (1987) On the acoustic slow wave in air-filled granular media. J Acoust Soc Am 81:93–102
Ayrault C (1999) Influence de la presión statique sur la caracterisation ultasonore de materiaux poreux: etude du regime de faible diffusion. Thesis of the University of Maine, France
Beranek LL, Vér IL (eds) (1992) Noise and vibration control engineering: principles and applications. Wiley, New York
Biot M (1941) General theory of three-dimensional consolidation. J Appl Phys 12:155–164
Biot M (1956) Theory of deformation of a porous viscoelastic anisotropic solid. J Appl Phys 27(5):459–467
Biot M (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. J Acoust Soc Am 28(2):168–178
Biot M (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. J Acoust Soc Am 28(2):179–191
Brouard B, Castagnède B, Henry M, Lafarge D, Sahraoui S (2004) Mesure des propriétés acoustiques des matériaux poreux. Techniques d l’Ingénieur, traité Mesures et contrôle. Obtained in July, 28, 2004 from http://www.techniques-ingenieur.fr/affichage/DispIntro.asp?nGcmId=R6120
Brown RJS (1980) Connection between formation factor for electrical resistivity and fluid-solid coupling factor in Biot’s equations for acoustic waves in fluid-filled media. Geophysics 45:1269–1275
Burridge R, Keller JB (1985) Poroelasticity equations derived from microstructure. J Acoust Soc Am 70:1140–1146
Champoux Y, Stinson MR, Daigle GA (1990) Air-based system for the measurement of porosity. J Acoust Soc Am 89:910–916
Dauchez N (1999) Étude vibroacoustique des materiaux poreaux par éléments finis. Thesis of the University of Maine, France and the University of Sherbrooke, Canada
Dauchez N, Sahraoui S, Atalla N (2000) Validation of 3-D poroelastic finite element from the impedance measurement of a vibrating foam sample. Can Acoust 4:94–95
Delany M-E, Bazley EN (1970) Acoustical properties of fibrous absorbent materials. Appl Acoust (3), 105–116
Fahy F (2001) Foundations of engineering acoustics. Academic, London
Fellah ZEA, Berger S, Lauriks W, Depollier C, Aristegui C, Chapelon J-Y (2003) Measuring the porosity and the tortuosity of porous materials via reflected waves at oblique incidence. J Acoust Soc Am 113(5):2424–2433
Franco García A (2004) Física con ordenador. Curso interactivo de física en internet. Obtained from http://www.sc.ehu.es/sbweb/fisica/estadistica/termo/Termo.html
Hilyard NC, Cunningham A (1994) Low density cellular plastics–physical basis of behaviour. Chapman & Hall, London
Horoshenkov KV, Khan A, Bécot F-X, Jaouen L, Sgard F, Pompoli F, Prodi N, Bonfiglio P, Pispola G, Asdrubali F, Hübelt J, Atalla N, Amédin CK, Lauriks W, Boeckx L (2007) Reproducibility experiments on measuring acoustical properties of rigid-frame porous media (round-robin tests). J Acoust Soc Am 122(1):345–353
Ingard U (1994) Notes on sound absorption technology. Noise Control Foundation, Poughkeepsie
Johnson DL, Koplik J, Dashen R (1987) Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J Fluid Mech 176:379–402
Kim YK, Kingsbury HB (1979) Dynamic characterization of poroelastic materials. Exp Mech 19:252–258
Kinsler LE, Frey AR, Coppens AB, Sanders JV (2000) Fundamentals of acoustics, 4th edn. Wiley, New York
Kirchhoff G (1868) Ubre der Einfluss der Wärmeleitung in einem Gase auf die Schallbewegung. Ann Phys CEIME 134:177–193
Lafarge D, Lamarinier P, Allard JF (1997) Dynamic compressibility of air in porous structures at audible frequencies. J Acoust Soc Am 102(4):1995–2006
Landaluze J, Portilla I, Pagalday JM, Martínez A, Reyero R (2003) Application of active noise control to an elevator cabin. Control Eng Pract 11:1423–1431
Langlois C, Panneton R, Atalla N (2001) Polynomial relations for quasi-static mechanical characterization of isotropic poroelastic materials. J Acoust Soc Am 110(6):3032–3040
Lauriks W, Cops A, Allard JF, Depollier C, Rebillard P (1990) Modelization at oblique incidence of layered porous materials with impervious screens. J Acoust Soc Am 87(3):1200–1206
Lemarinier P, Henry M, Allard J-F (1995) Connection between the dynamic bulk modulus of air in a porous medium and the specific surface. J Acoust Soc Am 97:3478–3482
Mariez E, Sahraoui S, Allard JF (1996) Elastic constants of polyurethane foam’s skeleton for Biot model. Proc Internoise 96:951–954
Mariez E, Sahraoui S (1997) Measurement of mechanical anisotropic properties of acoustic foams for the Biot model. In: Internoise 97, Budapest, Hungary, August 25–27, pp 1683–1686
Melon M, Castagnède B (1995) Correlation between tortuosity and transmission coefficient of porous media at high frequency. J Acoust Soc Am 98:1228–1230
Melon M, Mariez E, Ayrault C, Sahraoui S (1998) Acoustical and mechanical characterization of anisotropic open-cell foams. J Acoust Soc Am 9104:2622–2627
Mendibil X (2004) Medida de la absorción acústica de los materiales poroelásticos. Thesis presented in the University of Mondragón, Spain
Nykänen H, Antila M, Ollikainen V, Lekkala J, Paajanen M, Vosukainen S, Kirjavainen K (2001) Active noise control in cars and trains using EMFi panel actuators as anti-noise sources. In: Primer forum Européen, matériaux et dispositifs insonorisants dans la conception vibroacoustique des machines et véhicules 1, pp 419–441
Okuno A (1986) Dynamic response of structures containing poroelastic materials. PhD dissertation, School of Mechanical Engineering, University of Delaware
Panneton R (1996) Modélisation numérique tridimensionnelle par éléments finis des milieux poroélastiques. Thesis of the University of Sherbrooke, Canada
Pilon D, Panneton R, Sgard F (2003) Behavioral criterion quantifying the edge-constrained effects on foams in the standing wave tube. J Acoust Soc Am 114(4):1980–1987
Prieto A, Bermúdez A (2003) Propagación acústica en medios multicapa. University of Santiago de Compostela, Department of Applied Mathematics, Santiago de Compostela, Spain
Pritz T (1982) Transfer function method for investigating the complex modulus of acoustic materials: Rodlike specimen. J Sound Vib 81:359–376
Sánchez San Román FJ Flujo en medios porosos : Ley de Darcy. Obtained from http://web.usal.es/~javisan/hidro/temas/T080.pdf
Schanz M (2003). On the equivalence of the linear Biot’s theory and the linear theory of porous media. In: 16th ASCE engineering mechanics conference. July 16–18, 2003. Technical University Braunschwieg, Institute of Applied Mechanics
Sim S, Kim K-J (1990) A method to determinate the complex modulus and Poisson’s ratio of viscoelastic materials from FEM applications. J Sound Vib 141:71–82
Stinson MR (1991) The propagation of plane sound waves in narrow and wide circular tubes, and generalization to uniform tubes of arbitrary cross-sectional shape. J Acoust Soc Am 89:550–558
Tikander M (2002) Model-based curvefitting for in-situ impedance measurements. Master Degree Thesis of the Technological University of Helsinki, Laboratory of Acoustic and Audio Signal Processing, Finland
Vardoulakis I, Beskos D (1986) Dynamic behavior of nearly saturated porous media. Mech Compos Mater 5:87–108
Vigran TE, Kelders L, Lauriks W, Leclaire P, Johansen TF (1997) Prediction and measurements of the influence of boundary conditions in a standing wave tube. Acust Acta Acust 83:419–423
Von Terzaghi K (1923) Die Berechnung der durchlässigkeit des tones aus dem verlauf der hydromechanischen spannungserscheinungen. Sitz Akad Wiss (Wien): Math-Naturwiss Kl 132:125–138
Wijesinghe A, Kingsbury HB (1979) Complex modulus of a poroelastic column. J Acoust Soc Am 65:91–95
Zwikker C, Kosten CW (1949) Sound absorbing materials. Elsevier, Amsterdam
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Sagartzazu, X., Hervella-Nieto, L. & Pagalday, J.M. Review in Sound Absorbing Materials. Arch Computat Methods Eng 15, 311–342 (2008). https://doi.org/10.1007/s11831-008-9022-1
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DOI: https://doi.org/10.1007/s11831-008-9022-1