The porous Biot layer surrounded by two elastic half-plates is considered. For this medium, two dispersion equations are established. These dispersion equations correspond to symmetric and antisymmetric parts of the medium. The investigation of these equations is conducted in the region of low frequencies. The imaginary roots of these equations in this region determine low-frequency normal waves. Bibliography: 6 titles.
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M. A. Biot, “Theory of elastic waves in fluid-saturated porous solid. I. Low frequency range,” J. Acoust. Soc. Amer., 28, 168–178 (1956).
M. A. Biot, “Theory of elastic waves in fluid-saturated porous solid. II. High frequency range,” J. Acoust. Soc. Amer., 28, 179–191 (1956).
T. Bourbie, O. Coussy, and B. Zinzner, Acoustic of Porous Media, Paris (1987).
L. A. Molotkov, Investigation of Wave Propagation in Porous and Fractured Media on the Basis of Effective Biot Models and Layered Media [in Russian], St. Petersburg (2001).
L. A. Molotkov, “Propagation of waves in an isolated porous Biot layer with closed pores on the boundary,” Zap. Nauchn. Semin. POMI, 354, 173–189 (2008).
L. A. Molotkov and A. A. Mukhin, “Investigation of normal waves in a porous layer surrounded by elastic half-spaces,” Zap. Nauchn. Semin. POMI, 369, 127–142 (2009).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 369, 2009, pp. 110–126.
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Molotkov, L.A. Investigation of low-frequency normal waves in a Biot layer surrounded by an elastic medium. J Math Sci 167, 660–669 (2010). https://doi.org/10.1007/s10958-010-9952-7
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DOI: https://doi.org/10.1007/s10958-010-9952-7