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Matematicheskoe modelirovanie, 2016, Volume 28, Number 2, Pages 40–52 (Mi mm3698)  
On thermoelastic deformations in graphene and analogous two-dimensional materials

A. S. Kholodovab

a Institute for Computer Aided Design of the Russian Academy of Sciences
b Moscow Institute of Physics and Technology
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Abstract: We consider stationary heat transport in a macroscopic 2D sample, e.g., graphene, based on Duhamel–Neumann equations under the assumption of small elastic deformations. We develop a monotonous (according to Friedrichs) finite-difference scheme on a chaotic grid for a sample of arbitrary shape and study heat transport numerically.
Keywords: graphene, elastic deformations, heat conductivity, numerical modeling.
Funding agency Grant number
Russian Science Foundation 14-11-00877
Russian Foundation for Basic Research 14-01-00779_а
13-07-12149_офи_м
Received: 29.06.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 5, Pages 513–522
DOI: https://doi.org/10.1134/S2070048216050100
Bibliographic databases:
Document Type: Article
UDC: 531.01
Language: Russian
Citation: A. S. Kholodov, “On thermoelastic deformations in graphene and analogous two-dimensional materials”, Matem. Mod., 28:2 (2016), 40–52; Math. Models Comput. Simul., 8:5 (2016), 513–522
Citation in format AMSBIB
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\by A.~S.~Kholodov
\paper On thermoelastic deformations in graphene and analogous two-dimensional materials
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 2
\pages 40--52
\mathnet{http://mi.mathnet.ru/mm3698}
\elib{https://elibrary.ru/item.asp?id=25707623}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 5
\pages 513--522
\crossref{https://doi.org/10.1134/S2070048216050100}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84987903125}
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    		Математическое моделирование
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