Abstract
A nonlinear dynamic state equation of waterlike porous material that contains a system of cylindrical capillaries partially filled with viscous liquid was received. It is shown that an acoustic nonlinearity of such media contains the relaxation elastic and inelastic components due to the nonlinear dependence of the capillary and viscous pressure in fluid on the capillary diameter. For the medium, theoretical study of such nonlinear phenomena as generation of the second harmonic and a difference frequency wave, self-demodulation of high-frequency pulses as well as the change in the propagation velocity and absorption coefficient of a test wave being under an action of static loading have been carried out. The frequency dependences of medium nonlinearity parameters for these processes were determined.
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References
L. K. Zarembo and V. A. Krasil’nikov, Introduction in Nonlinear Acoustics (Nauka, Noscow, 1966).
O. V. Rudenko and S. I. Soluyan, Nonlinear Acoustic Theory (Nauka, Moscow, 1975).
A. Granato and K. Lucke, J. Appl. Phys. 27, 583 (1956).
V. F. Nesterenko, Prikl. Mekh. Tech. Fiz., No. 5, 136 (1983).
S. Z. Dunin, Izv. Acad. Sci. SSSR. Phys. Solid Earth, No. 5, 106 (1989).
L. A. Ostrovskii, Akust. Zh. 34, 908 (1988).
L. A. Ostrovskii, Akust. Zh. 35, 490 (1989).
V. E. Nazarov and A. V. Radostin, Izv. Phys. Solid Earth 39, 170 (2003).
V. E. Nazarov, J. Acoust. Soc. Am. 109, 2642 (2001).
V. E. Nazarov and A. V. Radostin, Acoust. Phys. 54, 460 (2008).
L. D. Landau and E. M. Lifshits, Theory of Elasticity (Pergamon, Oxford, 1986; Nauka, Moscow, 1987).
V. V. Tyutekin, Akust. Zh. 5, 106 (1959).
L. D. Landau and E. M. Lifshitz, Theoretical Physics, vol. 6, Fluid Mechanics (Pergamon, London, 1987; Fizmatlit, Moscow, 2003).
V. E. Nazarov, V. Yu. Zaitsev, and I. Yu. Beliaeva, Acoust. Lett. 22(12), 236 (1999).
V. E. Nazarov, V. Yu. Zaitsev, and I. Yu. Beliaeva, Acustica-Acta Acustica 88(1), 40 (2002).
V. E. Nazarov and A. V. Radostin, Acoust. Phys. 52, 713 (2006).
R. W. Benson and V. J. Raelson, Product. Eng. 30(29), 56 (1959).
R. A. Toupin and B. Bernstein, J. Acoust. Soc. Am. 33, 216 (1961).
M.B. Vinogradova, O.V. Rudenko, and A.P. Sukhorukov, Theory of Waves (Nauka, Moscow, 1979) [In Russian].
L. M. Kustov, V. E. Nazarov, and A. M. Sutin, Akust. Zh. 32, 804 (1986).
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Original Russian Text © V.E. Nazarov, S.B. Kiyashko, 2013, published in Akusticheskii Zhurnal, 2013, Vol. 59, No. 2, pp. 147–157.
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Nazarov, V.E., Kiyashko, S.B. Nonlinear wave processes in porous waterlike media containing a system of capillaries partially filled with a viscous liquid. Acoust. Phys. 59, 127–136 (2013). https://doi.org/10.1134/S1063771013020103
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DOI: https://doi.org/10.1134/S1063771013020103