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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 4, Pages 186–194 (Mi pmtf3123)  

This article is cited in 3 scientific papers (total in 3 papers)

An inverse elastoplastic problem for plates

I. Yu. Tsvelodub

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Full-text PDF (680 kB) Citations (3)
Abstract: We study an inverse elastoplastic problem of determining the residual stresses, the plasticity zone, and the external loads for a plate for known residual deflections which occur after removal of these loads and elastic unloading. Assuming that the deformation theory of plasticity is valid at the active stage of deformation, we prove the theorem of unique solution. An iterative method of solution is proposed and a variational formulation of the problem is given. Some simple examples are considered.
Received: 30.07.1997
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 4, Pages 719–726
DOI: https://doi.org/10.1007/BF02468449
Bibliographic databases:
Document Type: Article
UDC: 539.37
Language: Russian
Citation: I. Yu. Tsvelodub, “An inverse elastoplastic problem for plates”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999), 186–194; J. Appl. Mech. Tech. Phys., 40:4 (1999), 719–726
Citation in format AMSBIB
\Bibitem{Tsv99}
\by I.~Yu.~Tsvelodub
\paper An inverse elastoplastic problem for plates
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 4
\pages 186--194
\mathnet{http://mi.mathnet.ru/pmtf3123}
\elib{https://elibrary.ru/item.asp?id=35313402}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 4
\pages 719--726
\crossref{https://doi.org/10.1007/BF02468449}
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  • https://www.mathnet.ru/eng/pmtf/v40/i4/p186
  • This publication is cited in the following 3 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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