Abstract
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.
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Atalaya, J., Isacsson, A., Kinaret, J.M., Salinas, E. (2010). Elasticity Theory for Graphene Membranes. In: Dunne, L.J., Manos, G. (eds) Adsorption and Phase Behaviour in Nanochannels and Nanotubes. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2481-7_13
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DOI: https://doi.org/10.1007/978-90-481-2481-7_13
Publisher Name: Springer, Dordrecht
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