On thermoelastic deformations in graphene and analogous two-dimensional materials

A. S. Kholodov<sup>ab

a</sup> Institute for Computer Aided Design of the Russian Academy of Sciences
^b Moscow Institute of Physics and Technology

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.

UDC: 531.01

Received: 29.06.2015

 English version: Mathematical Models and Computer Simulations, 2016, 8:5, 513–522

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