On thermoelastic deformations in graphene and analogous two-dimensional materials
Matematičeskoe modelirovanie, Tome 28 (2016) no. 2, pp. 40-52

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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.
Mots-clés : graphene
Keywords: elastic deformations, heat conductivity, numerical modeling.
@article{MM_2016_28_2_a4,
     author = {A. S. Kholodov},
     title = {On thermoelastic deformations in graphene and analogous two-dimensional materials},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {40--52},
     publisher = {mathdoc},
     volume = {28},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_2_a4/}
}
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A. S. Kholodov. On thermoelastic deformations in graphene and analogous two-dimensional materials. Matematičeskoe modelirovanie, Tome 28 (2016) no. 2, pp. 40-52. http://geodesic.mathdoc.fr/item/MM_2016_28_2_a4/