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This article is cited in 4 scientific papers (total 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.
Received: 12.07.2019 Revised: 12.07.2019 Accepted: 05.09.2019
Citation:
S. I. Senashov, I. L. Savostyanova, “New solutions of dynamic equations of ideal plasticity”, Sib. Zh. Ind. Mat., 22:4 (2019), 89–94; J. Appl. Industr. Math., 13:4 (2019), 740–745
Linking options:
https://www.mathnet.ru/eng/sjim1068 https://www.mathnet.ru/eng/sjim/v22/i4/p89
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Abstract page: | 198 | Full-text PDF : | 128 | References: | 24 | First page: | 1 |
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