A new material property of graphene: The bending Poisson coefficient

¹ Via Parenzo 17, 33100 Udine, Italy
² Department of Structural and Geotechnical Engineering - Sapienza University of Rome, Rome, Italy
³ Dipartimento di Architettura, Design e Urbanistica - University of Sassari, Alghero (SS), Italy

Received: 30 March 2017
Accepted: 8 June 2017

Abstract

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 suitable stretching stiffness and Poisson coefficient . Here, we pose the following question: does the Poisson coefficient affect the response to bending of graphene? Despite what happens if one adopts classical structural models, it does not. In this letter we show that a new material property, conceptually and quantitatively different from , has to be introduced. We term this new parameter bending Poisson coefficient; we propose for it a physical interpretation in terms of the atomic interactions and produce a quantitative evaluation.