We present the results of analytical and numerical studies of propagation of longitudinal acoustic waves in micro-inhomogeneous media with different-modulus nonlinearity and relaxation. The solutions for evolution of the profiles and spectral characteristics of the initially harmonic waves are obtained.
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V. E. Nazarov, L. A. Ostrovsky, I. A. Soustova, and A. M. Sutin, Phys. Earth Planet. Inter., 50, No. 1, 65 (1988).
R. A. Guyer and P. A. Johnson, Nonlinear Mesoscopic Elasticity: The Complex Behavior of Granular Media Including Rocks and Soil, Wiley-VCH, Weinheim (2009).
V. E. Nazarov and A. V. Radostin, Nonlinear Acoustic Waves in Micro-Inhomogeneous Solids, Wiley, Chichester (2015).
L. D. Landau and E. M. Lifshitz, Theory of Elasticity Butterworth-Heinemann, Oxford (1986).
V. E. Nazarov, V. Yu. Zaitsev, and I.Yu. Beliaeva, Acta Acustica, 88, No. 1, 40 (2002).
S. A. Ambartsumyan, Different-Modulus Theory of Elasticity [in Russian], Nauka, Moscow (1982).
A. V. Nikolaev, Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 1, 72 (1967).
A. S. Aleshin and V. V. Kuznetsov, Nonlinear Seismology [in Russian], Nauka, Moscow (1986).
V. P. Maslov and P. P. Mosolov, Prikl. Mat. Tekh. Fiz., 49, No. 3, 419 (1985).
V. E. Nazarov and L. A. Ostrovsky, Sov Phys. Acoust., 36, No. 1, 106 (1990).
S. N. Gavrilov and G. C. Herman, J. Sound Vib., 331, No. 20, 4464 (2012).
A. V. Radostin, V. E. Nazarov, and S. B. Kiyashko, Wave Motion, 50, No. 2, 191 (2013).
V. E. Nazarov, S. B. Kiyashko, and A. V. Radostin, Radiophys. Quantum Electron., 58, No. 2, 124 (2015).
V. E. Nazarov, A. V. Radostin, and S. B. Kiyashko, Radiophys. Quantum Electron., 58, No. 10, 729 (2015).
M. A. Isakovich, Sov. Phys. Usp., 22,928 (1979).
M. A. Isakovich, General Acoustics [in Russian], Nauka, Moscow (1973).
O. V. Rudenko and S. I. Soluyan, Theoretical Foundation of Nonlinear Acoustics, Plenum New York (1977).
O. V. Rudenko, Acoust. Phys., 60, No. 4, 398 (2014).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 59, No. 3, pp. 275–285, March 2016.
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Nazarov, V.E., Kiyashko, S.B. & Radostin, A.V. The Wave Processes in Micro-Inhomogeneous Media with Different-Modulus Nonlinearity and Relaxation. Radiophys Quantum El 59, 246–256 (2016). https://doi.org/10.1007/s11141-016-9693-7
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DOI: https://doi.org/10.1007/s11141-016-9693-7