most citedThe Gaussian Stiffness of Graphene deduced from a Continuum Model based on Molecular Dynamics Potentials

29 citations · 60 across the 5 of their papers we have counts for

collaborators

5 papers

cond-mat.mes-hall2019

An atomistic-based Föppl-von Kármán model for graphene

Cesare Davini, Antonino Favata, Roberto Paroni

We deduce a non-linear continuum model of graphene for the case of finite out-of-plane displacements and small in-plane deformations. On assuming that the lattice interactions are…

physics.app-ph2017★ 19 cited

A 2D metamaterial with auxetic out-of-plane behavior and non-auxetic in-plane behavior

Cesare Davini, Antonino Favata, Andrea Micheletti +1

Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this…

cond-mat.mtrl-sci2017★ 8 cited

A new material property of graphene: the bending Poisson coefficient

Cesare Davini, Antonino Favata, Roberto Paroni

The in-plane infinitesimal deformations of graphene are well understood: they can be computed by solving the equilibrium problem for a sheet of isotropic elastic material with suit…

math-ph2017★ 4 cited

A REBO-potential-based model for graphene bending by -convergence

Cesare Davini, Antonino Favata, Roberto Paroni

An atomistic to continuum model for a graphene sheet undergoing bending is presented. Under the assumption that the atomic interactions are governed by a harmonic approximation of…

cond-mat.mtrl-sci2017★ 29 cited

The Gaussian Stiffness of Graphene deduced from a Continuum Model based on Molecular Dynamics Potentials

Cesare Davini, Antonino Favata, Roberto Paroni

We consider a discrete model of a graphene sheet with atomic interactions governed by a harmonic approximation of the 2nd-generation Brenner potential that depends on bond lengths,…