Abstract
In the preceding chapter, simple porous materials having cylindrical pores were studied. In the case of common porous materials, a modelling of the bulk modulus and the effective mass of the air, from the geometry of the frame, is generally impossible. This explains why the models that describe sound propagation in these materials are mostly phenomenological. A review of the models worked out before 1980 can be found in a work by Attenborough [1]. More recent studies have been performed by Lambert [2] and Attenborough [3]; and in the domain of acoustical materials with elastic frames by Desprez et al. [4], by the laboratories of acoustics of the universities of Le Mans and Leuven [5,6], and by Bolton and co-workers [7,8]. New developments, mainly put forth by Johnson et al. [9], are used in this chapter as the basis for new improvements in the description of sound propagation in porous materials. Measurements performed by Champoux [10,11] are presented to illustrate and verify the theoretical description.
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References
Attenborough, K., Acoustical characteristics of porous materials. Phys. Rep., 82 (1982) 179–227.
Lambert, R. F., Propagation of sound in highly porous open-cell elastic foams. J. Acoust. Soc. Amer., 73 (1983) 1131–8.
Attenborough, K., On the acoustic slow wave in air-filled granular media. J. Acoust. Soc. Amer. 81 (1987) 93–102.
Deprez, C., Bassery, L. & Hazebrouck, R., Diffraction par une sphere absorbante. Rev. Cethedec, 78 (1984) 135–48.
Allard, J. F., Depollier, C. & Aknine, A., Acoustical properties of partially reticulated foams with high änd medium flow resistance. J. Acoust. Soc. Amer. 79 (1986) 1734–40.
Allard, J. F., Depollier, C., Rebillard, P., Lauriks, W. & Cops, A., Inhomogeneous Biot waves in layered media, J. Appl. Physics, 66 (1989) 2278–84.
Bolton, J. S. & Shiau, N. M., Oblique incidence sound transmission through multi-panel structures lined with elastic porous materials. Paper presented at AIAA 11th Aeroacoustic Conf., Palo Alto, CA, 19–21 Oct. 1987.
Shiau, N. M., Bolton, J. S. & Ufford, D. A., Random incidence sound transmission through foam-lined panels. J. Acoust. Soc. Amer. 84 suppl. 1 (1988) 96.
Johnson, D. L., Koplik, J. & Dashen, R., Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J. Fluid Mechanics, 176 (1987) 379–402.
Champoux, Y. & Stinson, M. R., Experimental investigation of models of sound wave propagation in air saturated porous media. J. Acoust. Soc. Amer. 88 suppl. 1 (1990) 121.
Champoux, Y., Etude experimentale du comportement acoustique des matériaux poreux à structure rigide. PhD thesis, Carleton University, Canada, 1991.
Landau, L. D. & Lifshitz, E. M., Fluid Mechanics. Pergamon, New York, 1959.
Brown, R. J. S., Connection between formation factor of electrical resistivity and fluid–solid coupling factor in Biot’s equations for acoustic waves in fluid-filled porous media. Geophysics, 45 (1980) 1269–75.
Craggs, A. & Hildebrandt, J. G., Effective densities and resistivities for acoustic propagation in narrow tubes. J. Sound Vib., 92 (1984) 321–31.
Biot, M. A., The theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range. II. Higher frequency range. J. Acoust. Soc. Amer., 28 (1956) 168–91.
Champoux, Y. & Allard, J. F., Dynamic tortuosity and bulk modulus in air-saturated porous media. J. Appl. Physics,70 (1991) 1975–9.
Delany, M. E. & Bazley, E. N., Acoustical properties of fibrous materials. Applied Acoustics,3 (1970) 105–16.
Joos, G., Theoretical Physics. Hafner Publishing Company, New York, 1950.
Allard, J. F. & Champoux, Y. New empirical equations for sound propagation in rigid frame fibrous materials. J. Acoust. Soc. Amer. 91 (1992) 3346–53.
Bies, D. A. & Hansen, C. H., Flow resistance information for acoustical design. Applied Acoustics, 13 (1980) 357–91.
Attenborough, K., Acoustical characteristics of rigid fibrous absorbents and granular materials. J. Acoust. Soc. Amer., 73 (1983) 785–99.
Deresiewicz, H. & Skalak, R., On uniqueness in dynamic poroelasticity. Bull. Seism. Soc. Am., 53 (1963) 783–8.
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© 1993 Elsevier Science Publishers Ltd
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Allard, J.F. (1993). Sound Propagation in Porous Materials Having a Rigid Frame. In: Propagation of Sound in Porous Media. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1866-8_5
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DOI: https://doi.org/10.1007/978-94-011-1866-8_5
Publisher Name: Springer, Dordrecht
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