On the propagation of acoustic pulses in porous rigid media: A time-domain approach

Journal of Computational Acoustics

Volumn 9, Issue 3, 2001, Pages 1163-1173

  Fellah, Z E A ^a   Depollier, C ^a  

^a UNIVERSITÉ DU MAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035623456     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X01000723     Document Type: Article

References (17)

1. J. F. Allard, Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials (Chapman and Hall, London, 1993).
2. D. Lafarge, "Propagation du son dans les matériaux poreux à structure rigides saturés par un gaz," Ph.D. dissertation, Université du Maine, 1993.
3. L. Päivärinta and E. Somersalo (eds.), Inverse Problems in Mathematical Physics (Springer, Berlin, 1993).
4. Z. E. A. Fellah, B. Castagnède, and C. Depollier, "Forum Acusticum 1999," J. Acoust. Soc. Am 105, 1384(A) (1999).
5. Yu. N. Rabotnov, Elements of Hereditary Solid Mechanics (Mir Publishers, Moscow, 1980).
6. M. Caputo, "Vibration of an infinite plate with a frequency independent Q," J. Acoust. Soc. Am. 60, 632 (1976).
7. R. L. Bagley and P. J. Torvik, "On the fractional calculus model of viscoelastic behavior," Journal of Rheology 30, 133 (1983).
8. M. A. Biot, "The theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range," J. Acoust. Soc. Am. 28, 168 (1956); M. A. Biot, "The theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range," J. Acoust. Soc. Am. 28, 179 (1956).
9. M. A. Biot, "The theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range," J. Acoust. Soc. Am. 28, 168 (1956); M. A. Biot, "The theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range," J. Acoust. Soc. Am. 28, 179 (1956).
10. D. Lafarge, J. F. Allard, and B. Brouard, "Characteristic dimensions at high frequencies of the surface impedance of porous layers," J. Acoust. Soc. Am. 93, 2474 (1993).
11. D. L. Johnson, J. Koplik, and R. Dashen, "Theory of dynamic permeability and tortuosity in fluid-saturated porous media," J. Fluid. Mech. 176, 379 (1987).
12. J. F. Allard and Y. Champoux, "New empirical equations for sound propagation in rigid frame fibrous materials," J. Acoust. Soc. Am. 91, 3346 (1992).
13. A. N. Norris, "On the viscodynamic operator in Biot's equations of poroelasticity," J. Wave Mat. Interact. 1, 365 (1986).
14. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications (Gordon and Breach Science Publishers, Amsterdam, 1993).
15. R. J. S. Brown, "Connection between formation factor for electrical resistivity and fluid-solid coupling factor in Biot's equations for acoustic waves in fluid-filled media," Geophys. 45, 1269 (1980).
16. P. Leclaire, L. Kelders, W. Lauriks, N. R. Brown, M. Melon, and B. Castagnède, "Determination of the viscous and thermal characteristic lengths of plastic foams by ultrasonic measurements in helium and air," J. Appl. Phys. 80, 2009 (1996).
17. Z. E. A. Fellah, C. Depollier, and M. Fellah, "Direct and inverse scattering problem in porous material having a rigid frame by a fractional calculus based method," J. Sound and Vibration (to appear).