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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
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DOI: https://doi.org/10.1134/S0371968516040117
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
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\yr 2016
\vol 295
\pages 195--205
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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