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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 1, Pages 87–98 (Mi vngu72)  

This article is cited in 15 scientific papers (total in 15 papers)

The Unilateral Contact Problem for Two Plates One of them Containing a Rigid Inclusion

T. A. Rotanova

M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
References:
Abstract: This paper deals with the unilateral contact problem for two elastic plates located at a given angle to each other. One of the plates contains a rigid inclusion and is deformed in its plane with the other one being vertically deformed. Assuming that the solution is smooth, the differential statement being equivalent to the variational formulation is justified. We analyse different configurations of the rigid inclusion. The problem with rigid inclusion is shown to be obtained as the limiting one of the family of elastic problems.
Keywords: contact problem, variational inequality, rigid inclusion, elastic plates.
Received: 19.03.2010
English version:
Journal of Mathematical Sciences, 2013, Volume 188, Issue 4, Pages 452–462
DOI: https://doi.org/10.1007/s10958-012-1142-3
Document Type: Article
UDC: 517.95
Language: Russian
Citation: T. A. Rotanova, “The Unilateral Contact Problem for Two Plates One of them Containing a Rigid Inclusion”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:1 (2011), 87–98; J. Math. Sci., 188:4 (2013), 452–462
Citation in format AMSBIB
\Bibitem{Rot11}
\by T.~A.~Rotanova
\paper The Unilateral Contact Problem for Two Plates One of them Containing a~Rigid Inclusion
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 1
\pages 87--98
\mathnet{http://mi.mathnet.ru/vngu72}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 188
\issue 4
\pages 452--462
\crossref{https://doi.org/10.1007/s10958-012-1142-3}
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  • https://www.mathnet.ru/eng/vngu/v11/i1/p87
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    Full-text PDF :90
    References:59
    First page:1
     
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