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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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  • https://www.mathnet.ru/eng/sjim723
  • https://www.mathnet.ru/eng/sjim/v15/i2/p33
    • This publication is cited in the following 4 articles:
    1. I. A. Banshchikova, “Rod torsion in kinematic creep regimes”, J. Appl. Mech. Tech. Phys., 63:5 (2022), 891–902  mathnet  crossref  crossref  mathscinet  elib
    2. Meixin Xiong, Liuhong Chen, Ju Ming, Jaemin Shin, “Accelerating the Bayesian inference of inverse problems by using data-driven compressive sensing method based on proper orthogonal decomposition”, era, 29:5 (2021), 3383  crossref
    3. Banshchikova I.A., “On the Choice of Forming Modes and Estimation of Residual Service Life Using Kinetic Equations With a Scalar Damage Parameter”, J. Appl. Mech. Tech. Phys., 60:6 (2019), 1096–1103  crossref  mathscinet  isi  scopus
    4. K. Bormotin, S. Belykh, V. Aung, “Simulation and estimation of parameters in reconfigurable multipoint forming processes of plates in the creep mode”, International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2017), Matec Web of Conferences, 129, eds. S. Bratan, S. Gorbatyuk, S. Leonov, S. Roshchupkin, EDP Sciences, 2017, 05004  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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