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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2019 Volume 22, Number 4, Pages 89–94 (Mi sjim1068)

This article is cited in 4 papers

New solutions of dynamic equations of ideal plasticity

S. I. Senashov, I. L. Savostyanova

Reshetnev Siberian State University of Science and Technology, pr. Krasnoyarskii rabochii 31, 660037 Krasnoyarsk

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.

Keywords: ideal plasticity, exact solution, symmetry.

UDC: 539.374

Received: 12.07.2019
Revised: 12.07.2019
Accepted: 05.09.2019

DOI: 10.33048/sibjim.2019.22.409


 English version:
Journal of Applied and Industrial Mathematics, 2019, 13:4, 740–745


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