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The Four-Pole Transfer Matrices of an Elastic Porous Layer

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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.

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REFERENCES

  1. L. M. Brekhovskikh, Acoustics of Layered Media (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  2. V. M. Babich, P. V. Kraukdis, and L. A. Molotkov, Akust. Zh. 30, 693 (1984).

    Google Scholar 

  3. L. A. Molotkov, Matrix Method for Theory of Waves Transmission in Layered Elastic and Liquid Media (Nauka, Leningrad, 1984) [in Russian].

    Google Scholar 

  4. B. Li, M. Li, and T. Lu, J. Acoust. Soc. Am. 143, 2541 (2018).

    Article  ADS  Google Scholar 

  5. O. Tanneau, J. B. Casimir, and P. Lamary, J. Acoust. Soc. Am. 120, 1227 (2006).

    Article  ADS  Google Scholar 

  6. J. F. Allard and N. Atalla, Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials, 2nd ed. (Wiley, Chichester, 2009).

    Book  Google Scholar 

  7. K. Verdière, R. Panneton, S. Elkoun, T. Dupont, and P. Leclaire, J. Acoust. Soc. Am. 134, 4648 (2013).

    Article  ADS  Google Scholar 

  8. M. A. Biot, J. Acoust. Soc. Am. 28, 168 (1956).

    Article  ADS  Google Scholar 

  9. L. I. Sedov, Mechanics of Continuous Medium (Nauka, Moscow, 1994), Vol. 1 [in Russian].

    Google Scholar 

  10. L. R. Yablonik, Acoust. Phys. 64, 643 (2018).

    Article  ADS  Google Scholar 

  11. A. Ya. Zverev and V. V. Chernykh, Acoust. Phys. 64, 750 (2018).

    Article  ADS  Google Scholar 

  12. Y. Miki, J. Acoust. Soc. Jpn. 11, 19 (1990).

    Article  Google Scholar 

  13. D. L. Johnson, J. Koplik, and R. Dashen, J. Fluid Mech. 176, 379 (1987).

    Article  ADS  Google Scholar 

  14. Y. Champoux and J. F. Allard, J. Appl. Phys. 7, 1975 (1991).

    Article  ADS  Google Scholar 

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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

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  • DOI: https://doi.org/10.1134/S1063771020010121

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