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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 4, Pages 142–151 (Mi sjim812)  
This article is cited in 35 scientific papers (total in 35 papers)

Existence of an optimal shape for thin rigid inclusions in the Kirchhoff–Love plate

V. V. Shcherbakov

Lavrent'ev Institute of Hydrodynamics SB RAS, 15 Lavrent'ev av., 630090 Novosibirsk
Full-text PDF (245 kB) Citations (35)
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Abstract: The paper deals with an optimal control problem for the elliptic system of equations describing an equilibrium of a Kirchhoff–Love plate with delaminated thin rigid inclusion. It is required to minimize the mean square integral deviation of the bending moment from the function given on the exterior boundary. The inclusion shape is considered as the control function. The solvability of the problem is established.
Keywords: Kirchhoff–Love plate model, thin rigid inclusion, crack, nonlinear boundary conditions, optimal control.
Received: 17.07.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 1, Pages 97–105
DOI: https://doi.org/10.1134/S1990478914010116
Bibliographic databases:
Document Type: Article
UDC: 539.95+517.977
Language: Russian
Citation: V. V. Shcherbakov, “Existence of an optimal shape for thin rigid inclusions in the Kirchhoff–Love plate”, Sib. Zh. Ind. Mat., 16:4 (2013), 142–151; J. Appl. Industr. Math., 8:1 (2014), 97–105
Citation in format AMSBIB
\Bibitem{Shc13}
\by V.~V.~Shcherbakov
\paper Existence of an optimal shape for thin rigid inclusions in the Kirchhoff--Love plate
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 4
\pages 142--151
\mathnet{http://mi.mathnet.ru/sjim812}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234800}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 1
\pages 97--105
\crossref{https://doi.org/10.1134/S1990478914010116}
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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