@article{cf5477ec265b4254b4a8de384981b33c,
title = "Elastic in-plane properties of 2D linearized models of graphene",
abstract = "Graphene is a monolayer of carbon atoms packed into a two-dimensional honeycomb lattice. This allotrope can be considered as mother of all graphitic forms of carbon. The elastic in-plane properties of graphene are studied and various existing linearized models of its elastic deformations are critically re-examined. Problems related to modelling of graphene by nonlinear multi-body potentials of interaction are also discussed. It is shown that experimental results for small deformations can be well described by both the two-parametric molecular mechanics model developed by Gillis in 1984, while some popular models have serious flaws and often the results obtained using these models do not have physical meaning. It is argued that in order to study elastic constants of linearized models of graphene layers, it is very convenient to use the four parameter molecular mechanics model. The advantages of this approach is demonstrated by its application to the Tersoff and Brenner nonlinear interaction potentials, and by its comparison with the Gillis two-parametric model.",
keywords = "Carbon nanomaterials, Elastic properties, Graphene, Molecular mechanics, Nanomechanics",
author = "Berinskii, \{I. E.\} and Borodich, \{F. M.\}",
note = "Funding Information: The authors acknowledge the financial support of MINILUBES (FP7 Marie Curie ITN network 216011-2) by the European Commission and Russian Foundation for Basic Research (grants 12-01-00521-a and 12-01-31459-mol\_a ). The authors are grateful to Prof. A. M. Krivtsov for valuable discussions. ",
year = "2013",
doi = "10.1016/j.mechmat.2013.03.004",
language = "אנגלית",
volume = "62",
pages = "60--68",
journal = "Mechanics of Materials",
issn = "0167-6636",
publisher = "Elsevier B.V.",
}