Strain dependent elastic modulus of graphene

Abstract

Indentation experiments on graphene membranes pre-stressed by hydrostatic pressure show an increase in effective elastic modulus from 300 N/m in non pressurized membranes to 700 N/m for pre-strains above 0.5 %. This pronounced dependence of the stiffness of graphene with strain is attributed to its high anharmonicity and the great influence of out of plane corrugations of this atomic thick membrane in its mechanical properties. Our experimental findings imply that graphene measured stiffness is highly influenced by the presence of corrugations and that the in plane elastic modulus corresponding to atomic bond stretching is more akin to 700 N/m, instead of the commonly accepted 340 N/m.

17 pages and 4 figures

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• Indentation of two-dimensional solids: The signatures of geometrical and material nonlinearity
• Thermal properties of graphene under tensile stress
• Neutral and charged excitons interplay in non-uniformly strain-engineered WS${}_2$
• Improved graphene blisters by ultrahigh pressure sealing
• Disorder-induced rippled phases and multicriticality in free-standing graphene
• Thermal ripples in bilayer graphene
• Path-integral simulation of graphene monolayers under tensile stress
• Nanomechanical strain concentration on a 2D nanobridge within a large suspended bilayer graphene for molecular mass detection
• Designing Moire Patterns by Shearing
• Thermal fluctuations in crystalline membranes with long-range dipole interactions
• Tuning Strain in Flexible Graphene Nanoelectromechanical Resonators
• Tunable coupling of two mechanical resonators by a graphene membrane
• A Review on Mechanics and Mechanical Properties of 2D Materials - Graphene and Beyond