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Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 4, Pages 94–111
DOI: https://doi.org/10.17377/PAM.2017.17.9 (Mi vngu458) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On contact of thin obstacle and plate, containing thin inclusion

A. I. Furtsevab

a Lavrent’ev Institute of Hydrodynamics SB RAS, 15, pr. Akad. Lavrent’eva, Novosibirsk 630090, Russia
b Novosibirsk State University, 1, Pirogova St., Novosibirsk 630090, Russia
Full-text PDF (217 kB) Citations (11)
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DOI: https://doi.org/10.17377/PAM.2017.17.9
Abstract: In this paper, we consider problems describing a contact between an elastic plate and a thin elastic obstacle. The plate has a thin elastic inclusion. Under study is equilibrium problems for the plate both with the presence or absence of a cut. Different equivalent formulations of these problems are proposed, and existence of solutions is proved. We investigate a convergence to infinity of a rigidity parameter of the elastic inclusion. Formulations of the limit problem are analyzed.
Keywords: plate, thin obstacle, thin inclusion, rigid inclusion, beam, bend, delamination, variational inequality, minimization problem, contact problem, crack.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-5173.2016.1
The work is supported by the Council for grants of the President of the Russian Federation for the state support of young scientists, Candidates of Science (project No. MK-5173.2016.1).
Received: 29.01.2017
English version:
Journal of Mathematical Sciences, 2019, Volume 237, Issue 4, Pages 530–545
DOI: https://doi.org/10.1007/s10958-019-04179-z
Document Type: Article
UDC: 539.3:517.958
Language: Russian
Citation: A. I. Furtsev, “On contact of thin obstacle and plate, containing thin inclusion”, Sib. J. Pure and Appl. Math., 17:4 (2017), 94–111; J. Math. Sci., 237:4 (2019), 530–545
Citation in format AMSBIB
\Bibitem{Fur17}
\by A.~I.~Furtsev
\paper On contact of thin obstacle and plate, containing thin inclusion
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 4
\pages 94--111
\mathnet{http://mi.mathnet.ru/vngu458}
\crossref{https://doi.org/10.17377/PAM.2017.17.9}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 4
\pages 530--545
\crossref{https://doi.org/10.1007/s10958-019-04179-z}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал чистой и прикладной математики
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