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New Solutions of Dynamical Equations of Ideal Plasticity

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Abstract

Point symmetries allowed by plasticity equations in the dynamical case are used to construct solutions for the dynamical equations of ideal plasticity. These symmetries make it possible to convert the exact solutions of stationary dynamical equations to nonstationary solutions. The so-constructed solutions include arbitrary functions of time. The solutions allow us to describe the plastic flow between the plates changing their shape under the action of dynamical loads. Some new spatial self-similar solution is also presented.

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Authors and Affiliations

  1. Reshetnev Siberian State University of Science and Technology, pr. Krasnoyarskii Rabochii 31, 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. 4, pp. 89–94.

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Senashov, S.I., Savostyanova, I.L. New Solutions of Dynamical Equations of Ideal Plasticity. J. Appl. Ind. Math. 13, 740–745 (2019). https://doi.org/10.1134/S199047891904015X

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  • DOI: https://doi.org/10.1134/S199047891904015X

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