We present an atomistic to continuum model for a graphene sheet undergoing bending, within the small displacements approximation frame- work. Under the assumption that the atomic interactions are governed by a harmonic approximation of the 2nd-generation Brenner REBO (reactive em- pirical bond-order) potential, involving first, second and third nearest neigh- bors of any given atom, we determine the variational limit of the energy func- tionals. It turns out that the Γ-limit depends on the linearized mean and Gaussian curvatures. If some specific contributions in the atomic interaction are neglected, the variational limit is non-local.
A REBO-potential-based model for graphene bending by Gamma-convergence / Davini, Cesare; Favata, Antonino; Paroni, Roberto. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - (2018).
A REBO-potential-based model for graphene bending by Gamma-convergence
Antonino Favata;
2018
Abstract
We present an atomistic to continuum model for a graphene sheet undergoing bending, within the small displacements approximation frame- work. Under the assumption that the atomic interactions are governed by a harmonic approximation of the 2nd-generation Brenner REBO (reactive em- pirical bond-order) potential, involving first, second and third nearest neigh- bors of any given atom, we determine the variational limit of the energy func- tionals. It turns out that the Γ-limit depends on the linearized mean and Gaussian curvatures. If some specific contributions in the atomic interaction are neglected, the variational limit is non-local.File | Dimensione | Formato | |
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