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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 2, Pages 163–173 (Mi pmtf3066)  

This article is cited in 9 scientific papers (total in 9 papers)

A geometrical model of the defect structure of an elastoplastic continuous medium

V. P. Myasnikov, M. A. Guzev

Institute of Automatics and Control Processes, Far-Eastern Division, Russian Academy of Sciences, Vladivostok 690041
Full-text PDF (865 kB) Citations (9)
Abstract: We consider a new class of elastoplastic models which are based on the assumption that internal interaction between the continuum particles has affine-metric geometrical structure. From the physical viewpoint, the affine-metric objects are intrinsic thermodynamic variables which describe the evolution of various defect structures in a deformable material and also interaction between themselves and with the field of reversible strains. The analysis performed allows one to establish a relation between the classical mechanical characteristics of elastoplastic materials and the field of dislocation density and other types of defects.
Received: 29.06.1998
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 2, Pages 331–340
DOI: https://doi.org/10.1007/BF02468531
Document Type: Article
UDC: 539.37+514.7
Language: Russian
Citation: V. P. Myasnikov, M. A. Guzev, “A geometrical model of the defect structure of an elastoplastic continuous medium”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 163–173; J. Appl. Mech. Tech. Phys., 40:2 (1999), 331–340
Citation in format AMSBIB
\Bibitem{MyaGuz99}
\by V.~P.~Myasnikov, M.~A.~Guzev
\paper A geometrical model of the defect structure of an elastoplastic continuous medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 163--173
\mathnet{http://mi.mathnet.ru/pmtf3066}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 331--340
\crossref{https://doi.org/10.1007/BF02468531}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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