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Mathematical notes of NEFU, 2016, Volume 23, Issue 1, Pages 87–107 (Mi svfu18)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

On the hierarchy of thin delaminated inclusions in elastic bodies

A. M. Khludnevab, T. S. Popovac

a Lavrentiev Institute of Hydrodynamics SBRAS, Acad. Lavrentiev ave, 15, Novosibirsk 630090, Russia;
b Novosibirsk State University, Pirogova st., 2, Novosibirsk 630090, Russia
c M. K. Ammosov North-Eastern Federal University, Belinskogo st., 58, Yakutsk 677000, Russia
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Abstract: We consider models of thin delaminated inclusions in elastic bodies. The delamination means a presence of a crack between the inclusion and the matrix. Inequality type boundary conditions are imposed at the crack faces to prevent a mutual penetration. This approach leads to free boundary problem formulations. Connections between different mathematical models are discussed. Passages to limits with respect to inclusion rigidity parameters are analyzed.
Keywords: thin inclusion, elastic body, crack, non-linear boundary conditions, rigidity parameter, limiting models.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3047
Received: 19.02.2016
Bibliographic databases:
Document Type: Article
UDC: 539.3+517.958
Language: Russian
Citation: A. M. Khludnev, T. S. Popova, “On the hierarchy of thin delaminated inclusions in elastic bodies”, Mathematical notes of NEFU, 23:1 (2016), 87–107
Citation in format AMSBIB
\Bibitem{KhlPop16}
\by A.~M.~Khludnev, T.~S.~Popova
\paper On the hierarchy of thin delaminated inclusions in elastic bodies
\jour Mathematical notes of NEFU
\yr 2016
\vol 23
\issue 1
\pages 87--107
\mathnet{http://mi.mathnet.ru/svfu18}
\elib{https://elibrary.ru/item.asp?id=27475090}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Mathematical notes of NEFU
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