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Thermoelastic deformations in graphene and analogous two-dimensional materials

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Mathematical Models and Computer Simulations Aims and scope

Abstract

Using the Duhamel–Neumann equations, we consider the stationary heat-loading problem of a bulk specimen of a two-dimensional material (like grapheme) as an approximation of small elastic deformations. We present a numerical method for solving the heat-loading problem of a specimen of a complex shape with the use of a Friedrichs-monotonic finite-difference scheme on chaotic grids in a multiply connected integration domain. Then we demonstrate the results of the computational experiments.

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Authors and Affiliations

  1. Institute for Computer Aided Design, Russian Academy of Sciences, Moscow, 123056, Russia

    A. S. Kholodov

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, 141700, Russia

    A. S. Kholodov

Authors
  1. A. S. Kholodov
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Correspondence to A. S. Kholodov.

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Original Russian Text © A.S. Kholodov, 2016, published in Matematicheskoe Modelirovanie, 2016, Vol. 28, No. 2, pp. 40–52.

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Kholodov, A.S. Thermoelastic deformations in graphene and analogous two-dimensional materials. Math Models Comput Simul 8, 513–522 (2016). https://doi.org/10.1134/S2070048216050100

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  • DOI: https://doi.org/10.1134/S2070048216050100

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