Continuum elastic modeling of graphene resonators.
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 A 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.
Department of Applied Physics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden.
Juan
J
Atalaya
Andreas
A
Isacsson
Jari M
JM
Kinaret