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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 295, Pages 195–205
DOI: https://doi.org/10.1134/S0371968516040117
(Mi tm3758)
 

This article is cited in 5 scientific papers (total in 5 papers)

A self-similar wave problem in a Prandtl–Reuss elastoplastic medium

A. G. Kulikovskii, A. P. Chugainova

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (476 kB) Citations (5)
References:
Abstract: We consider a self-similar piston problem in which stresses on the boundary of a half-space are changed instantaneously. The half-space is filled with a Prandtl–Reuss medium in a uniform stressed state. It is assumed that the formation of shock waves is possible in the medium. We prove the existence of a solution to the problem in the cases when two or all three stress components are changed at the initial moment.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: June 10, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 295, Pages 179–189
DOI: https://doi.org/10.1134/S0081543816080113
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. G. Kulikovskii, A. P. Chugainova, “A self-similar wave problem in a Prandtl–Reuss elastoplastic medium”, Modern problems of mechanics, Collected papers, Trudy Mat. Inst. Steklova, 295, MAIK Nauka/Interperiodica, Moscow, 2016, 195–205; Proc. Steklov Inst. Math., 295 (2016), 179–189
Citation in format AMSBIB
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\paper A self-similar wave problem in a~Prandtl--Reuss elastoplastic medium
\inbook Modern problems of mechanics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 295
\pages 195--205
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968516040117}
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\jour Proc. Steklov Inst. Math.
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\vol 295
\pages 179--189
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Linking options:
  • https://www.mathnet.ru/eng/tm3758
  • https://doi.org/10.1134/S0371968516040117
  • https://www.mathnet.ru/eng/tm/v295/p195
  • This publication is cited in the following 5 articles:
    1. A. G. Kulikovskii, A. P. Chugainova, “Simple One-Dimensional Waves in an Incompressible Anisotropic Elastoplastic Medium with Hardening”, Proc. Steklov Inst. Math., 310 (2020), 175–184  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. G. Kulikovskii, A. P. Chugainova, “Shock waves in anisotropic cylinders”, Proc. Steklov Inst. Math., 300 (2018), 100–113  mathnet  crossref  crossref  mathscinet  isi  elib
    3. A. G. Kulikovskii, E. I. Sveshnikova, “Problem of the motion of an elastic medium formed at the solidification front”, Proc. Steklov Inst. Math., 300 (2018), 86–99  mathnet  crossref  crossref  mathscinet  isi  elib
    4. V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. A. G. Kulikovskii, E. I. Sveshnikova, “Formation fronts of a nonlinear elastic medium from a medium without shear stresses”, Moscow University Mechanics Bulletin, 72:3 (2017), 59–65  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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