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Problem of a piston in a plastic medium with cultivation

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The article discusses the self-similar problem of the motion of a spherical piston in a medium with “dry” friction and the differential connection between the first invariant of the stress tensor and the second invariant of the tensor of the deformation rates. For the case of flow with a shock wave, the method of a stationary wave is used to obtain the required relationships at a strong discontinuity. It is disclosed that the velocity of the piston, as well as the relationship between the cultivation coefficients and the dry friction, are determined by the smoothness of the friction.

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Literature cited

  1. Yu. S. Vakhrameev, “Similarity relationships for the motion of a friable densified medium,” Prikl. Matem. i Mekhan.,34, No. 5 (1970).

  2. V. N. Nikolaevskii, “The connection between volumetric and shear plastic deformations in shock waves in weak soils,” Dokl. Akad. Nauk SSSR,177, No. 3 (1967).

  3. V. N. Nikolaevskii, “Monochromatic waves in an elastic medium with local appearance of dry friction,” Inzh. Zh. MTT, No. 4 (1968).

  4. The Mechanical Effect of an Underground Explosion [in Russian], Izd. Nedra, Moscow (1971).

  5. Ya. A. Pachepskii, “The structure of shock waves in elastoplastic media,” Prikl. Mat. i Mekhan.,37, No. 2 (1973).

  6. G. I. Bykovtsev and L. D. Kretova, “The propagation of shock waves in elastoplastic media,” Prikl. Matem. i Mekhan.,36, No. 1 (1972).

  7. V. V. Nemytskii and V. V. Stepanov, “The Qualitative Theory of Differential Equations [in Russian], Izd. Gostekhizdat, Moscow-Leningrad (1949).

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  8. V. V. Bashurov, “The problem of a spherical piston in a compressible medium with ‘dry’ friction,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 1 (1973).

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Authors and Affiliations

  1. Chelyabinsk

    V. V. Bashurov & N. A. Skorkin

Authors
  1. V. V. Bashurov
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  2. N. A. Skorkin
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Additional information

Translated from Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, 86–93, September–October, 1974.

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Bashurov, V.V., Skorkin, N.A. Problem of a piston in a plastic medium with cultivation. J Appl Mech Tech Phys 15, 654–660 (1974). https://doi.org/10.1007/BF00851525

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  • DOI: https://doi.org/10.1007/BF00851525

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