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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 289, Pages 178–194
DOI: https://doi.org/10.1134/S0371968515020107
(Mi tm3618)
 

This article is cited in 7 scientific papers (total in 7 papers)

Shock waves in elastoplastic media with the structure defined by the stress relaxation process

A. G. Kulikovskii, A. P. Chugainova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
References:
Abstract: We study nonlinear waves in a Maxwell medium in which residual strains and hardening occur. The properties of the medium are defined so that for slow processes with characteristic times much greater than the stress relaxation time, the medium behaves as an elastoplastic medium. We analyze continuous travelling waves in the form of smoothed steps regarded as discontinuity structures in an elastoplastic medium and demonstrate the dependence of relations at discontinuities on the definition of the stress relaxation process in the discontinuity structure.
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: January 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 289, Pages 167–182
DOI: https://doi.org/10.1134/S0081543815040100
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Kulikovskii, A. P. Chugainova, “Shock waves in elastoplastic media with the structure defined by the stress relaxation process”, Selected issues of mathematics and mechanics, Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov, Trudy Mat. Inst. Steklova, 289, MAIK Nauka/Interperiodica, Moscow, 2015, 178–194; Proc. Steklov Inst. Math., 289 (2015), 167–182
Citation in format AMSBIB
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\by A.~G.~Kulikovskii, A.~P.~Chugainova
\paper Shock waves in elastoplastic media with the structure defined by the stress relaxation process
\inbook Selected issues of mathematics and mechanics
\bookinfo Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 289
\pages 178--194
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3618}
\crossref{https://doi.org/10.1134/S0371968515020107}
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\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 289
\pages 167--182
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  • https://www.mathnet.ru/eng/tm3618
  • https://doi.org/10.1134/S0371968515020107
  • https://www.mathnet.ru/eng/tm/v289/p178
  • This publication is cited in the following 7 articles:
    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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