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New Three-Dimensional Plastic Flows Corresponding to a Homogeneous Stress State

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Abstract

Three-dimensional plasticity equations for the Mises medium are under consideration. For these equations, the velocity fields for a three-dimensional homogeneous plastic stress state are investigated. We discover new velocity fields having functional arbitrariness for a homogeneous stress state.

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References

  1. P. Hill, Mathematical Theory of Plasticity (Gostekhizdat, Moscow, 1954) [in Russian].

    Google Scholar 

  2. D. D. Ivlev, L. M. Maksimova, R. I. Nepershin, et al., Limit State of Deformable Bodies and Constructions (Fizmatlit, Moscow, 2008) [in Russian].

    Google Scholar 

  3. M. A. Zadoyan, Three-Dimensional Problems of Plasticity (Nauka, Moscow, 1992) [in Russian].

    MATH  Google Scholar 

  4. B. D. Annin, V. O. Bytoev, and S. I. Senashov, Group Properties of Elasticity and Plasticity Equations (Nauka, Novosibirsk, 1985) [in Russian].

    Google Scholar 

  5. V. Prager, “Three-Dimensional Problems Plastic Yielding under a Homogeneous Stress State,” Mekhanika No. 3, 23–27 (1958).

    Google Scholar 

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Authors and Affiliations

  1. Reshetnev Siberian State University of Science and Technology, pr. Krasnoyarskiy Rabochiy 31, 660037, Krasnoyarsk, 660037, Russia

    S. I. Senashov & I. L. Savostyanova

Authors
  1. S. I. Senashov
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  2. I. L. Savostyanova
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Corresponding authors

Correspondence to S. I. Senashov or I. L. Savostyanova.

Additional information

Russian Text © The Author(s), 2019, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2019, Vol. XXII, No. 3, pp. 114–117.

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Senashov, S.I., Savostyanova, I.L. New Three-Dimensional Plastic Flows Corresponding to a Homogeneous Stress State. J. Appl. Ind. Math. 13, 536–538 (2019). https://doi.org/10.1134/S1990478919030141

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  • DOI: https://doi.org/10.1134/S1990478919030141

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