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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 4, Pages 144–153 (Mi pmtf2062)  
This article is cited in 4 scientific papers (total in 4 papers)

Thermodynamics of finite strain elastic-inelastic deformation

A. A. Rogovoi

Institute of Mechanics of Continuous Media, Ural Division, Russian Academy of Sciences, Perm’, 614013
Full-text PDF (218 kB) Citations (4)
Abstract: The kinematic relations describing elastic-inelastic deformation that coincide in shape with the well-known Lie representation but are free from the drawback of the latter are extended to the case of thermo-elastic-inelastic deformation with finite strains. The limitations imposed on the kinematics by the principle of objectivity are considered. Relations for the stresses and entropy are derived from the laws of thermodynamics, and a heat-conduction equation is constructed.
Keywords: thermo-elastic-inelastic finite strains, kinematics, thermodynamics, principle of objectivity.
Received: 13.06.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 4, Pages 591–598
DOI: https://doi.org/10.1007/s10808-007-0074-z
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. A. Rogovoi, “Thermodynamics of finite strain elastic-inelastic deformation”, Prikl. Mekh. Tekh. Fiz., 48:4 (2007), 144–153; J. Appl. Mech. Tech. Phys., 48:4 (2007), 591–598
Citation in format AMSBIB
\Bibitem{Rog07}
\by A.~A.~Rogovoi
\paper Thermodynamics of finite strain elastic-inelastic deformation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 4
\pages 144--153
\mathnet{http://mi.mathnet.ru/pmtf2062}
\elib{https://elibrary.ru/item.asp?id=19041415}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 4
\pages 591--598
\crossref{https://doi.org/10.1007/s10808-007-0074-z}
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  • https://www.mathnet.ru/eng/pmtf/v48/i4/p144
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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