Continuum elastic modeling of graphene resonators

Details Continuum elastic modeling of graphene resonators Continuum elastic modeling of graphene resonators

2008-06-16

arxiv.org/abs/0806.2576v1

Physics

Condensed Matter

Other Condensed Matter

7 pages, 5 figures

Scientific paper

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. 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. We find that already for deflections of the order of 0.5{\AA} 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.

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