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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 1, Pages 161–170
DOI: https://doi.org/10.15372/PMTF20180117 (Mi pmtf628) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical modeling of inverse problems of forming taking into account the incomplete reversibility creep strain

K. S. Bormotinab, N. A. Taranukhaa

a Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, 681013, Russia
b Institute of Engineering and Metallurgy, Far East Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005, Russia
Full-text PDF (654 kB) Citations (2)
DOI: https://doi.org/10.15372/PMTF20180117
Abstract: Functionals of direct and inverse problems of forming structural elementsare constructed taking into account the theory of incomplete reversibility of deformations. Formulations of these problems are given, and the uniqueness of their solutions is proved. An iterative method for solving inverse problems of forming structural elementsis proposed. Numerical solutions of these problems are obtained using a finite element method.
Keywords: inverse problems of forming, variational inequalities, uniqueness, theory of incomplete reversibility of creep strain, convergence, finite-element method, iterative method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-6127.2015.1
Russian Foundation for Basic Research 16-31-60038 мол а дк
Ministry of Science and Higher Education of the Russian Federation 9.536.2014/K
909
Received: 18.08.2016
Revised: 15.11.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 1, Pages 138–145
DOI: https://doi.org/10.1134/S0021894418010170
Bibliographic databases:
Document Type: Article
UDC: 517.97, 539.376
Language: Russian
Citation: K. S. Bormotin, N. A. Taranukha, “Mathematical modeling of inverse problems of forming taking into account the incomplete reversibility creep strain”, Prikl. Mekh. Tekh. Fiz., 59:1 (2018), 161–170; J. Appl. Mech. Tech. Phys., 59:1 (2018), 138–145
Citation in format AMSBIB
\Bibitem{BorTar18}
\by K.~S.~Bormotin, N.~A.~Taranukha
\paper Mathematical modeling of inverse problems of forming taking into account the incomplete reversibility creep strain
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 1
\pages 161--170
\mathnet{http://mi.mathnet.ru/pmtf628}
\crossref{https://doi.org/10.15372/PMTF20180117}
\elib{https://elibrary.ru/item.asp?id=32474750}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 1
\pages 138--145
\crossref{https://doi.org/10.1134/S0021894418010170}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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