General elasticity theory for graphene membranes based on molecular dynamics
Paper in proceeding, 2007

We have studied the mechanical properties of suspended graphene membranes using molecular dynamics (MD) and generalized continuum elasticity theory (GE) in order to develop and assess a continuum description for graphene. The MD simulations are based on a valence force field model which is used to determine the deformation and the elastic energy of the membrane (EMD) as a function of external forces. For the continuum description, we use the expression Econt = Estretching + Ebending for the elastic energy functional. The elastic parameters (tensile rigidity and Poisson ratio) entering Econt are determined by requiring that E cont = EMD for a set of deformations. Comparisons with the MD results show excellent agreement. We find that the elastic energy of a supported graphene sheets is typically dominated by the nonlinear stretching terms whereas a linear description is valid only for very small deflections. This implies that in some applications, i.e. NEMS, a linear description is of limited applicability.

Author

Kaveh Samadikhah

Chalmers, Materials and Manufacturing Technology

Juan Atalaya

Chalmers, Applied Physics

Caroline Huldt

Chalmers, Applied Physics, Condensed Matter Theory

Andreas Isacsson

Chalmers, Applied Physics

Jari Kinaret

Chalmers, Applied Physics, Condensed Matter Theory

Materials Research Society Symposium Proceedings

0272-9172 (ISSN)

Vol. 1057 109-114
978-160560826-6 (ISBN)

Areas of Advance

Nanoscience and Nanotechnology

Subject Categories

Physical Sciences

Condensed Matter Physics

ISBN

978-160560826-6

More information

Latest update

7/12/2024