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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 2, Pages 177–187 (Mi pmtf2370)  
This article is cited in 2 scientific papers (total in 2 papers)

Model of elastoplastic deformation of materials, based on the gauge theory of defects with allowance for energy dissipation

S. P. Kiselev

Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (227 kB) Citations (2)
Abstract: Mathematical models of plasticity and creep for the case of small deformations are proposed on the basis of the gauge theory of defects with allowance for energy dissipation. It is assumed that plasticity is related to the motion of dislocations, which occurs without changes in volume. In the creep model, the motion of dislocations can proceed with changes in volume, and the “extra” volume is entrained (brought) by point defects. With the help of Godunov's generalized thermodynamic approach, it is shown that the proposed plasticity model is hyperbolic according to Friedrichs.
Keywords: gauge theory, elasticity, plasticity, creep, hyperbolicity.
Received: 29.09.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 2, Pages 292–300
DOI: https://doi.org/10.1023/B:JAMT.0000017594.05203.88
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. P. Kiselev, “Model of elastoplastic deformation of materials, based on the gauge theory of defects with allowance for energy dissipation”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004), 177–187; J. Appl. Mech. Tech. Phys., 45:2 (2004), 292–300
Citation in format AMSBIB
\Bibitem{Kis04}
\by S.~P.~Kiselev
\paper Model of elastoplastic deformation of materials, based on the gauge theory of defects with allowance for energy dissipation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 2
\pages 177--187
\mathnet{http://mi.mathnet.ru/pmtf2370}
\elib{https://elibrary.ru/item.asp?id=17249168}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 2
\pages 292--300
\crossref{https://doi.org/10.1023/B:JAMT.0000017594.05203.88}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2370
  • https://www.mathnet.ru/eng/pmtf/v45/i2/p177
    • This publication is cited in the following 2 articles:
    1. V. M. Greshnov, “One plasticity model for problems of plastic metal working”, J. Appl. Mech. Tech. Phys., 49:6 (2008), 1021–1029  mathnet  mathnet  crossref
    2. V.E. Panin, Yu.V. Grinyaev, A.V. Panin, “Field theory of multilevel plastic flow in the neck of a deformed solid”, Physical Mesomechanics, 10:5-6 (2007), 225  crossref
    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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