Buckled circular monolayer graphene: a graphene nano-bowl

Abstract

We investigate the stability of circular monolayer graphene subjected to a radial load using non-equilibrium molecular dynamics simulations. When monolayer graphene is radially stressed, after some small circular strain ($\sim 0.4$) it buckles and bends into a new bowl like shape. Young's modulus is calculated from the linear relation between stress and strain before the buckling threshold, which is in agreement with experimental results. The prediction of elasticity theory for the buckling threshold of a radially stressed plate is presented and its results are compared to the one of our atomistic simulation. Jarzynski equality is used to estimate the difference between the free energy of the non-compressed states and the buckled states. From a calculation of the free energy we obtain the optimum radius for which the system feels the minimum boundary stress.

14 pages, 8 figures

References in corpus (9)

• The structure of suspended graphene sheets
• A tight-binding approach to uniaxial strain in graphene
• Ripple Texturing of Suspended Graphene Atomic Membranes
• Macroscopic graphene membranes and their extraordinary stiffness
• Nonlinear elasticity of monolayer graphene
• Subjecting a graphene monolayer to tension and compression
• Graphene: a perfect nanoballoon
• Compression Behavior of Single-layer Graphene
• Graphene nano ribbons subjected to axial stress

Cited by in corpus (8)

• Thermomechanical properties of a single hexagonal boron nitride sheet
• Strain engineered graphene using a nanostructured substrate: I Deformations
• Engineering the work function of armchair graphene nanoribbons using strain and surface functional species: a first principles study
• Lattice thermal properties of Graphane: thermal contraction, roughness and heat capacity
• Rippling, buckling and melting of single- and multi-layer MoS${}_2$
• Kinks and antikinks of buckled graphene: A testing ground for phi^4 field model
• Strain engineered graphene using a nanostructured substrate: II Pseudo-magnetic fields
• Effect of grain boundary on the buckling of graphene nanoribbons