Literature cited
A. A. Lokshin, “Nonlinear shock waves in media with memory and the method of discontinuities,” Dokl Akad. Nauk SSSR,263, No. 24 (1982).
A. A. Lokshin, “Nonlinear shock wave in a hereditary medium and exact factorization of the nonlinear wave operator,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6 (1985).
Yu. N. Rabotnov, Elements of the Hereditary Mechanics of Solids [in Russian], Nauka, Moscow (1977).
V. M. Babich and A. S. Alekseev, “Ray-tracing method for calculating the intensity of wave fronts,” Izv. Akad. Nauk SSSR, Ser. Geofiz., No. 1 (1958).
A. S. Alekseev and B. Ya. Gel'chinskii, “Ray-tracing method for the calculation of wave fields in inhomogeneous media with curved interfaces,” in: Problems in the Dynamical Theory of Seismic Wave Propagation [in Russian], Vol. 3, Izd. Leningrad Gos. Univ., Leningrad (1961).
A. S. Alekseev, V. M. Babich, and B. Ya. Gel'chinskii, “Ray-tracing method for calculating the intensity of wave fronts,” in: Problems in the Dynamical Theory of Seismic Wave Propagation [in Russian], Vol. 5, Izd. Leningrad Gos. Univ., Leningrad (1961).
V. M. Babich, “Ray-tracing method for calculating the intensity of wave fronts in an inhomogeneous anisotropic elastic medium,” in: Problems in the Dynamical Theory of Seismic Wave Propagation [in Russian], Vol. 5, Izd. Leningrad Gos. Univ., Leningrad (1961).
L. A. Babichev, G. I. Bykovtsev, and N. D. Verveiko, “Ray-tracing method for the solution of dynamical problems in viscoelastoplastic bodies,” Prikl. Mat. Mekh.,37, No. 1, (1973).
Yu. A. Rossikhin, “Ray-tracing method for the solution of dynamical problems in an anisotropic thermoelastic medium,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4 (1977).
A. A. Burenin and V. A. Sharuda, “Oblique shock in an elastic half-space,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6 (1984).
A. N. Guz', F. G. Makhort, and O. I. Gushcha, Introduction to Acoustoelasticity [in Russian], Naukova Dumka, Kiev (1977).
U. K. Nigul, “Asymptotic analysis of the evolution of a pulse shape in hereditary elastic media and possible applications in acoustic diagnostics,” in: Continuum Dynamics [in Russian], No. 41, Inst. Gidrodin. Sib. Otd. Akad. Nauk SSSR (1979).
A. A. Burenin and A. D. Chernyshov, “Shock waves in an isotropic elastic space,” Prikl. Mat. Mekh.,42, No. 4 (1978).
T. Y. Thomas, Plastic Flow and Fracture in Solids, Academic Press, New York (1961).
G. B. Whitham, Linear and Nonlinear Waves, Wiley Interscience, New York (1974).
A.-H. Nayfeh, Perturbation Methods, Wiley, New York (1984).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 13–17, November–December, 1990.
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Burenin, A.A., Rossikhin, Y.A. Influence of viscosity on the nature of the propagation of a plane extensional shock wave. J Appl Mech Tech Phys 31, 807–810 (1990). https://doi.org/10.1007/BF00854189
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DOI: https://doi.org/10.1007/BF00854189