Abstract
The intrinsic feature of graphene honeycomb lattice is defined by its chiral index (n, m), which can be taken into account when using molecular dynamics. However, how to introduce the index into the continuum model of graphene is still an open problem. The present manuscript adopts the continuum shell model with single director to describe the mechanical behaviors of graphene. In order to consider the intrinsic features of the graphene honeycomb lattice—chiral index (n, m), the chiral‐tube vectors of graphene in real space have been used for construction of reference unit base vectors of the shell model; therefore, the formulations will contain the chiral index automatically, or in an explicit form in physical components. The results are quite useful for future studies of graphene mechanics.
Highlights
A one-atom-thick layer of graphite called graphene is the “mother” of all graphitic forms
Owing to its exceptional mechanical properties and low mass density, graphene is an ideal material for use in nanoelectromechanical systems (NEMS), which are of great interest both for fundamental studies of mechanics at the nanoscale and for a variety of applications, including force, position, mass, and gas sensing [4]
The present manuscript adopts the continuum shell model with single director to describe the mechanical behaviors of graphene
Summary
A one-atom-thick layer of graphite called graphene is the “mother” of all graphitic forms. The 2D feature of the graphene makes it possible to directly use well-formulated 2D continuum shell model to simulate its deformation, vibration, and buckling [1,2,3]. Within the frame of classic continuum mechanics, there is a well-formulated branch-theory of shell [8,9,10,11,12,13,14]. The deformation of the thinner 3D shell can be considered as a 2D middle surface with a small thickness, and all off-middle surface quantities can be presented in terms of middle surface. In this way, the Journal of Nanomaterials. The explicit form of the chiral index (n, m) in the physical components will be shown in the Section 8
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