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Thermoelastic deformations in graphene and analogous two-dimensional materials


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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.

About the authors

A. S. Kholodov

Institute for Computer Aided Design; Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: xolod@crec.mipt.ru
Russian Federation, Moscow, 123056; Dolgoprudnyi, 141700

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