Abstract
Relations are proposed for the transfer matrices of linear four-poles that relate the pressure and normal velocity components at free and/or impervious boundaries of a planar elastic porous layer. The dependences were obtained within the irrotational model framework, which assumes a negligible effect of shear stresses on the transfer of wave disturbances across the layer. The possibility of using the results for layers of nonrigid porous materials in a wide range of sound-wave angles of incidence is shown.
Similar content being viewed by others
REFERENCES
L. M. Brekhovskikh, Acoustics of Layered Media (Nauka, Moscow, 1989) [in Russian].
V. M. Babich, P. V. Kraukdis, and L. A. Molotkov, Akust. Zh. 30, 693 (1984).
L. A. Molotkov, Matrix Method for Theory of Waves Transmission in Layered Elastic and Liquid Media (Nauka, Leningrad, 1984) [in Russian].
B. Li, M. Li, and T. Lu, J. Acoust. Soc. Am. 143, 2541 (2018).
O. Tanneau, J. B. Casimir, and P. Lamary, J. Acoust. Soc. Am. 120, 1227 (2006).
J. F. Allard and N. Atalla, Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials, 2nd ed. (Wiley, Chichester, 2009).
K. Verdière, R. Panneton, S. Elkoun, T. Dupont, and P. Leclaire, J. Acoust. Soc. Am. 134, 4648 (2013).
M. A. Biot, J. Acoust. Soc. Am. 28, 168 (1956).
L. I. Sedov, Mechanics of Continuous Medium (Nauka, Moscow, 1994), Vol. 1 [in Russian].
L. R. Yablonik, Acoust. Phys. 64, 643 (2018).
A. Ya. Zverev and V. V. Chernykh, Acoust. Phys. 64, 750 (2018).
Y. Miki, J. Acoust. Soc. Jpn. 11, 19 (1990).
D. L. Johnson, J. Koplik, and R. Dashen, J. Fluid Mech. 176, 379 (1987).
Y. Champoux and J. F. Allard, J. Appl. Phys. 7, 1975 (1991).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yablonik, L.R. The Four-Pole Transfer Matrices of an Elastic Porous Layer. Acoust. Phys. 66, 89–96 (2020). https://doi.org/10.1134/S1063771020010121
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771020010121