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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 2, Pages 33–42 (Mi sjim723)  
This article is cited in 4 scientific papers (total in 4 papers)

Inverse optimal control problems in creep theory

K. S. Bormotin

Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, Russia
Full-text PDF (289 kB) Citations (4)
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Abstract: We formulate inverse problems of the theory of quasi-static creep in the form of a variational principle and optimal control with constraints on the displacements and stresses and give necessary optimality conditions. In solving specific examples, we find a continuous function of optimal load that depends on two parameters. We construct and numerically implement the method for determining the parameters from given conditions of the problem.
Keywords: inverse creep problem, damagedness, variational principles, multiobjective optimization problem, optimal control.
Received: 02.08.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 4, Pages 421–430
DOI: https://doi.org/10.1134/S1990478912040035
Bibliographic databases:
Document Type: Article
UDC: 539.376+517.97
Language: Russian
Citation: K. S. Bormotin, “Inverse optimal control problems in creep theory”, Sib. Zh. Ind. Mat., 15:2 (2012), 33–42; J. Appl. Industr. Math., 6:4 (2012), 421–430
Citation in format AMSBIB
\Bibitem{Bor12}
\by K.~S.~Bormotin
\paper Inverse optimal control problems in creep theory
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 2
\pages 33--42
\mathnet{http://mi.mathnet.ru/sjim723}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099834}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 4
\pages 421--430
\crossref{https://doi.org/10.1134/S1990478912040035}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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