Continuum elastic modeling of graphene resonators
| Autor: | Atalaya, Juan, Isacsson, Andreas, Kinaret, Jari M. |
|---|---|
| Rok vydání: | 2008 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1021/nl801733d |
| Popis: | 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. Comment: 7 pages, 5 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|