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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 300, Pages 109–122
DOI: https://doi.org/10.1134/S0371968518010089 (Mi tm3860) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Shock waves in anisotropic cylinders

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/S0371968518010089
Abstract: We study small-amplitude longitudinal and torsional shock waves in circular cylinders consisting of an anisotropic medium such that the velocities of the longitudinal and torsional waves are close to each other. Previously, simple waves were considered in the same situation and conditions were found for these waves to overturn and for the corresponding shock waves to form. Here we present the study of shock waves: the shock adiabat and the evolutionary conditions. The results obtained can also be related to shock waves in unbounded media with quadratic nonlinearity.
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: October 9, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 300, Pages 100–113
DOI: https://doi.org/10.1134/S008154381801008X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. G. Kulikovskii, A. P. Chugainova, “Shock waves in anisotropic cylinders”, Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Trudy Mat. Inst. Steklova, 300, MAIK Nauka/Interperiodica, Moscow, 2018, 109–122; Proc. Steklov Inst. Math., 300 (2018), 100–113
Citation in format AMSBIB
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\paper Shock waves in anisotropic cylinders
\inbook Modern problems and methods in mechanics
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov
\serial Trudy Mat. Inst. Steklova
\yr 2018
\vol 300
\pages 109--122
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 4 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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