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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 3, Pages 86–97
DOI: https://doi.org/10.17377/PAM.2017.17.8 (Mi vngu449) 		 
Optimal control of the rigid layer size of the construction

I. V. Frankina

Lavrent’ev Institute of Hydrodynamics SB RAS, 15, pr. Akad. Lavrent’eva, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.17377/PAM.2017.17.8
Abstract: The equilibrium problems of two-layer construction consisting of elastic and rigid layers are investigated. It is assumed that the elastic plate has a crack extending along the line which is the connection line of the construction parts. Passage to the limit on the size parameter of the construction rigid layer has been done. We consider the optimal control problem for the construction in which the cost functional is a derivative of the energy functional with respect to the length of the crack; control parameter is the parameter characterizing the size of the rigid layer.
Keywords: two-layer construction, crack, optimal control, the derivative of the energy functional.
Received: 12.01.2017
English version:
Journal of Mathematical Sciences, 2019, Volume 237, Issue 4, Pages 521–529
DOI: https://doi.org/10.1007/s10958-019-04178-0
Document Type: Article
UDC: 539.3 + 517.977
Language: Russian
Citation: I. V. Frankina, “Optimal control of the rigid layer size of the construction”, Sib. J. Pure and Appl. Math., 17:3 (2017), 86–97; J. Math. Sci., 237:4 (2019), 521–529
Citation in format AMSBIB
\Bibitem{Fan17}
\by I.~V.~Frankina
\paper Optimal control of the rigid layer size of the construction
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 3
\pages 86--97
\mathnet{http://mi.mathnet.ru/vngu449}
\crossref{https://doi.org/10.17377/PAM.2017.17.8}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 4
\pages 521--529
\crossref{https://doi.org/10.1007/s10958-019-04178-0}
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