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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 2, Pages 105–117
DOI: https://doi.org/10.33048/sibjim.2019.22.210 (Mi sjim1047) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A contact problem for a plate and a beam in presence of adhesion

A. I. Furtsev

Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, 630090 Novosibirsk
Full-text PDF (341 kB) Citations (7)
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DOI: https://doi.org/10.33048/sibjim.2019.22.210
Abstract: Under consideration is the problem of contact between a plate and a beam. It is assumed that no mutual penetration between the plate and the beam can occur, and so an appropriate nonpenetration condition is used. On the other hand, the adhesion of the bodies is taken into account which is characterized by a numerical adhesion parameter. We study the existence and uniqueness of a solution for the contact problem as well as the passage to the limit with respect to the adhesion parameter. The accompanying optimal control problem is investigated in which the adhesion parameter acts as a control parameter.
Keywords: contact, plate, beam, thin obstacle, nonpenetration condition, defect, adhesion, minimization problem, variational inequality, optimal control.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10007_мк
Received: 17.11.2018
Revised: 17.11.2018
Accepted: 27.12.2018
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 2, Pages 208–218
DOI: https://doi.org/10.1134/S1990478919020030
Bibliographic databases:
Document Type: Article
UDC: 539.3:517.958
Language: Russian
Citation: A. I. Furtsev, “A contact problem for a plate and a beam in presence of adhesion”, Sib. Zh. Ind. Mat., 22:2 (2019), 105–117; J. Appl. Industr. Math., 13:2 (2019), 208–218
Citation in format AMSBIB
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\by A.~I.~Furtsev
\paper A contact problem for a plate and a beam in presence of adhesion
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 2
\pages 105--117
\mathnet{http://mi.mathnet.ru/sjim1047}
\crossref{https://doi.org/10.33048/sibjim.2019.22.210}
\elib{https://elibrary.ru/item.asp?id=41637287}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 2
\pages 208--218
\crossref{https://doi.org/10.1134/S1990478919020030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067282632}
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    • This publication is cited in the following 7 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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