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arXiv · 1508.05257

Scaling behavior and strain dependence of in-plane elastic properties of graphene

J. H. Los·A. Fasolino·M. I. Katsnelson
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Abstract

We show by atomistic simulations that, in the thermodynamic limit, the in-plane elastic moduli of graphene at finite temperature vanish with system size $ L $ as a power law $ ~ L^{-η_u} $ with $ η_u \simeq 0.325 $, in agreement with the membrane theory. Our simulations clearly reveal the size and strain dependence of graphene's elastic moduli, allowing comparison to experimental data. Although the recently measured difference of a factor 2 between the asymptotic value of the Young modulus for tensilely strained systems and the value from {\it ab initio} calculations remains unsolved, our results do explain the experimentally observed increase of more than a factor 2 for a tensile strain of only a few permille. We also discuss the scaling of the Poisson ratio, for which our simulations disagree with the predictions of the self-consistent screening approximation.

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J. H. Los, A. Fasolino, M. I. Katsnelson. 2015-08-21. Scaling behavior and strain dependence of in-plane elastic properties of graphene. https://doi.org/10.1103/physrevlett.116.015901

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