Elasticity theory for graphene membranes
Book chapter, 2010

Starting from an atomistic approach we have derived a hierarchy of successively more simplified continuum elasticity descriptions for modeling the mechanical properties of suspended graphene sheets. We find that already for deflections of the order of 0.5∈Å a theory that correctly accounts for nonlinearities is necessary and that for many purposes a set of coupled Duffing-type equations may be used to accurately describe the dynamics of graphene membranes. The descriptions are validated by applying them to square graphene-based resonators with clamped edges and studying numerically their mechanical responses. Both static and dynamic responses are treated, and we find good agreement with recent experimental findings. © 2010 Springer Science+Business Media B.V.

Author

Juan Atalaya

Chalmers, Applied Physics, Condensed Matter Theory

Andreas Isacsson

Chalmers, Applied Physics, Condensed Matter Theory

Jari Kinaret

Chalmers, Applied Physics, Condensed Matter Theory

E. Salinas

London South Bank University

Adsorption and Phase Behaviour in Nanochannels and Nanotubes

273-290

Subject Categories

Materials Engineering

DOI

10.1007/978-90-481-2481-7_13

ISBN

9789048124800

More information

Created

10/8/2017