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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 5, Pages 136–146 (Mi pmtf1408)  
This article is cited in 5 scientific papers (total in 5 papers)

Variational principles and optimal solutions of the inverse problems of creep bending of plates

K. S. Bormotin, A. I. Oleinikov

Komsomol’sk-on-Amur State Technical University, Komsomol’sk-on-Amur, 681013, Russia
Full-text PDF (413 kB) Citations (5)
Abstract: It is shown that inverse problems of steady-state creep bending of plates in both the geometrically linear and nonlinear formulations can be represented in a variational formulation. Steady-state values of the obtained functionals corresponding to the solutions of the problems of inelastic deformation and elastic unloading are determined by applying a finite element procedure to the functionals. Optimal laws of creep deformation are formulated using the criterion of minimizing damage in the functionals of the inverse problems. The formulated problems are reduced to the problems solved by the finite element method using MSC.Marc software.
Keywords: inverse creep problem, damage, variational principles, multiobjective optimization problem, optimal control.
Received: 16.01.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 5, Pages 751–760
DOI: https://doi.org/10.1134/S0021894412050148
Bibliographic databases:
Document Type: Article
UDC: 519.853.6, 517.97, 539.376
Language: Russian
Citation: K. S. Bormotin, A. I. Oleinikov, “Variational principles and optimal solutions of the inverse problems of creep bending of plates”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012), 136–146; J. Appl. Mech. Tech. Phys., 53:5 (2012), 751–760
Citation in format AMSBIB
\Bibitem{BorOle12}
\by K.~S.~Bormotin, A.~I.~Oleinikov
\paper Variational principles and optimal solutions of the inverse problems of creep bending of plates
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 5
\pages 136--146
\mathnet{http://mi.mathnet.ru/pmtf1408}
\elib{https://elibrary.ru/item.asp?id=18013511}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 5
\pages 751--760
\crossref{https://doi.org/10.1134/S0021894412050148}
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  • https://www.mathnet.ru/eng/pmtf/v53/i5/p136
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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