Abstract2018-05-24T12:52:58+00:00

### Elastic bending modulus of monolayer graphene

Author (s): Lu, Q; Arroyo, M and Huang, R
Journal: Journal of Physics D: Applied Physics

Volume: 42, Issue10
Pages: 102002 – 102009
Date: 2009

Abstract:

AM_IAV_SSx_MOx_1

An analytic formula is derived for the elastic bending
modulus of monolayer graphene based on an empirical
potential for solid-state carbon atoms. Two physical origins are identified for
the non-vanishing bending stiffness of the atomically thin graphene
sheet, one due to the bond-angle effect and the other resulting from the
bond-order term associated with the dihedral angles. The analytical prediction
compares closely with ab initio energy
calculations. Pure bending of graphene monolayers into cylindrical tubes is simulated by a
molecular mechanics approach, showing slight nonlinearity and anisotropy in the
tangent bending modulus as the bending curvature increases. An intrinsic
coupling between bending and in-plane strain is noted for graphene
monolayers rolled into carbon nanotubes.

Bibtex:

```

@article{0022-3727-42-10-102002,
author={Lu, Q.; Arroyo, M. and Huang, R.},
title={Elastic bending modulus of monolayer graphene},
journal={Journal of Physics D: Applied Physics},
volume={42},
number={10},
pages={102002},
url={http://stacks.iop.org/0022-3727/42/i=10/a=102002},
year={2009},

}
```