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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 2, Pages 167–176
DOI: https://doi.org/10.15372/PMTF20180117
(Mi pmtf606)
 

This article is cited in 14 scientific papers (total in 14 papers)

Elastoplastic model of rocks with a linear structural parameter

A. F. Revuzhenko, O. A. Mikenina

Mining Institute, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630091, Russia
Abstract: A closed mathematical model is formulated, which takes into account elastoplastic deformations and the medium capability of accumulating the energy of internal self-balanced stresses. Satisfaction of the diffeomorphism postulate (assumption of displacement field smoothness) is not required; as a result, the strains depend on the stresses and second derivatives of the stresses with respect to the coordinates. The model involves a linear structural parameter. Relations that take into account local bending of the elementary volumes of the medium are derived.
Keywords: rocks, elasticity, plasticity, self-balanced stresses, structural parameter.
Funding agency Grant number
Russian Science Foundation 16-17-10121
Received: 01.06.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 2, Pages 332–340
DOI: https://doi.org/10.1134/S0021894418020177
Bibliographic databases:
Document Type: Article
UDC: 539.371
Language: Russian
Citation: A. F. Revuzhenko, O. A. Mikenina, “Elastoplastic model of rocks with a linear structural parameter”, Prikl. Mekh. Tekh. Fiz., 59:2 (2018), 167–176; J. Appl. Mech. Tech. Phys., 59:2 (2018), 332–340
Citation in format AMSBIB
\Bibitem{RevMik18}
\by A.~F.~Revuzhenko, O.~A.~Mikenina
\paper Elastoplastic model of rocks with a linear structural parameter
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 2
\pages 167--176
\mathnet{http://mi.mathnet.ru/pmtf606}
\crossref{https://doi.org/10.15372/PMTF20180117}
\elib{https://elibrary.ru/item.asp?id=32773505}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 2
\pages 332--340
\crossref{https://doi.org/10.1134/S0021894418020177}
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  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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