Elasticity Theory for Graphene Membranes

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