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Shock structure in a viscoelastic medium with a nonlinear dependence of the Maxwellian viscosity on the parameters of the material

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The shock-profile structure in a viscoelastic medium with a nonlinear dependence of the Maxwellian viscosity χ (a quantity inverse to the tangential stress-relaxation time τ) on the substance parameters is investigated in this paper on the basis of a model proposed in [1]. The presence of such a dependence of the relaxation time permitted the extraction of sections with an abrupt change in the quantities on the profile, called plastic waves, by using additional relationships. The model of the isotropic medium used is characterized by an equation of state in the form of a dependence of the density of the internal energy E per unit mass on the strain-tensor invariants and the entropy S.

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Literature cited

  1. S. K. Godunov and E. I. Romenskii, “Nonstationary equations of the nonlinear theory of elasticity in Euler coordinates,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 6 (1972).

  2. Ya. I. Frenkel', Kinetic Theory of Fluids [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1945).

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  3. S. K. Godunov, A. F. Demchuk, N. S. Kozin, and V. I. Mali, “Interpolation formulas for the dependence of the Maxwellian viscosity of some metals on the tangential stress intensity and temperature,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 4 (1974).

  4. S. K. Godunov, N. S. Kozin, and E. I. Romenskii, “Use of the Zharkov-Kalinin equations of state to calculate the elastic energy for a nonglobal strain tensor,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 2 (1974).

  5. K. W. Schuler and J. W. Nunziano, “Recent results in nonlinear viscoelastic wave propagation,” Intern. J. Solids and Structures,9, No. 10 (1973).

  6. J. W. Nunziano and E. K. Walsh, “Amplitude behavior of shock waves in a thermoviscoelastic solid,” Intern. J. Solids and Structures,9, No. 11 (1973).

  7. Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shocks and High-Temperature Hydrodynamic Phenomena [in Russian], Nauka, Moscow (1966).

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Authors and Affiliations

  1. Novosibirsk

    S. K. Godunov & N. S. Kozin

Authors
  1. S. K. Godunov
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  2. N. S. Kozin
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 101–108, September–October, 1974.

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Godunov, S.K., Kozin, N.S. Shock structure in a viscoelastic medium with a nonlinear dependence of the Maxwellian viscosity on the parameters of the material. J Appl Mech Tech Phys 15, 666–671 (1974). https://doi.org/10.1007/BF00851527

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  • DOI: https://doi.org/10.1007/BF00851527

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