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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 3, Pages 90–98
DOI: https://doi.org/10.17377/sibjim.2016.19.309 (Mi sjim932) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A contact problem for an elastic plate with a thin rigid inclusion

I. V. Frankinaab

a Lavrent'ev Institute of Hydrodynamics SB RAS, 15 Lavrent'ev av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
Full-text PDF (239 kB) Citations (8)
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DOI: https://doi.org/10.17377/sibjim.2016.19.309
Abstract: An equilibrium problem for a plate under the influence of external forces is investigated. It is assumed that the plate contains a thin rigid inclusion that reaches the boundary under zero angle and is in partial contact with an undeformable solid. There is a delamination at one of the faces of the inclusion. A complete Kirchhoff–Love model is considered, where the unknown functions are the vertical and horizontal displacements of the points of the middle surface of the plate. We give a differential statement and a variational statement of the problem and prove the existence and uniqueness of a solution.
Keywords: plate, rigid inclusion, contact problem, fictitious domain.
Funding agency Grant number
Russian Science Foundation 15-11-10000
Received: 22.12.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 3, Pages 333–340
DOI: https://doi.org/10.1134/S1990478916030030
Bibliographic databases:
Document Type: Article
UDC: 539.3+517.958
Language: Russian
Citation: I. V. Frankina, “A contact problem for an elastic plate with a thin rigid inclusion”, Sib. Zh. Ind. Mat., 19:3 (2016), 90–98; J. Appl. Industr. Math., 10:3 (2016), 333–340
Citation in format AMSBIB
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\by I.~V.~Frankina
\paper A contact problem for an elastic plate with a~thin rigid inclusion
\jour Sib. Zh. Ind. Mat.
\yr 2016
\vol 19
\issue 3
\pages 90--98
\mathnet{http://mi.mathnet.ru/sjim932}
\crossref{https://doi.org/10.17377/sibjim.2016.19.309}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588957}
\elib{https://elibrary.ru/item.asp?id=26477438}
\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 3
\pages 333--340
\crossref{https://doi.org/10.1134/S1990478916030030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983479329}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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