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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 1, Pages 56–65 (Mi sjim766)  
This article is cited in 3 scientific papers (total in 3 papers)

Nonisothermic deformation of the elastoviscoplastic flat heavy layer

L. V. Kovtanyuka, G. L. Panchenkob

a Institute of Russian Academy of Sciences Institute of Automation and Control Processes Far Eastern Branch of RAS, Vladivostok, Russia
b Vladivostok State University Economics and Service, Vladivostok, Russia
Full-text PDF (281 kB) Citations (3)
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Abstract: The solution is given of the thermoelasticoplastic problem about slide of a heavy layer from an inclined plane under heating. The creep effect is stipulated to the development of a viscoplastic flow at the cost of a dependence from the temperature of the material layer yield strength. Within the theory of large deformations the law of the propagation of elastoplastic boundary is indicated, stresses, strains and strain rates are calculated both in the area of thermoelastic deformation and in the area of flow.
Keywords: elasticity, plasticity, viscosity, thermal conductivity, large deformation.
Received: 07.11.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 3, Pages 396–403
DOI: https://doi.org/10.1134/S1990478913030125
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: L. V. Kovtanyuk, G. L. Panchenko, “Nonisothermic deformation of the elastoviscoplastic flat heavy layer”, Sib. Zh. Ind. Mat., 16:1 (2013), 56–65; J. Appl. Industr. Math., 7:3 (2013), 396–403
Citation in format AMSBIB
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\by L.~V.~Kovtanyuk, G.~L.~Panchenko
\paper Nonisothermic deformation of the elastoviscoplastic flat heavy layer
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 1
\pages 56--65
\mathnet{http://mi.mathnet.ru/sjim766}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203305}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 3
\pages 396--403
\crossref{https://doi.org/10.1134/S1990478913030125}
Linking options:
  • https://www.mathnet.ru/eng/sjim766
  • https://www.mathnet.ru/eng/sjim/v16/i1/p56
    • This publication is cited in the following 3 articles:
    1. A. A. Burenin, L. V. Kovtanyuk, G. L. Panchenko, “Thermomechanical loading of an elastoviscoplastic heavy layer held by an inclined plane”, Continuum Mech. Thermodyn., 35:4 (2023), 1325  crossref
    2. Kovtanyuk L.V., Panchenko G.L., “Mathematical Modelling of the Production Process of Irreversible Strains Under the Heating and Cooling of a Flat Heavy Layer on An Inclined Surface”, Lobachevskii J. Math., 42:8, SI (2021), 1998–2005  crossref  mathscinet  isi  scopus
    3. Burenin A.A., Kovtanyuk L.V., Panchenko G.L., “Development and Deceleration of Viscoplastic Flow in a Layer Heated By Friction on a Rough Plane”, J. Appl. Mech. Tech. Phys., 56:4 (2015), 626–635  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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