Thermoelastic deformations in graphene and analogous two-dimensional materials

Аннотация

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.