Interplay between bending and stretching in carbon nanoribbons

Abstract

We investigate the bending properties of carbon nanoribbons by combining continuum elasticity theory and tight-binding atomistic simulations. First, we develop a complete analysis of a given bended configuration through continuum mechanics. Then, we provide by tight-binding calculations the value of the bending rigidity in good agreement with recent literature. We discuss the emergence of a stretching field induced by the full atomic-scale relaxation of the nanoribbon architecture. We further prove that such an in-plane strain field can be decomposed into a first contribution due to the actual bending of the sheet and a second one due to edge effects.

5 pages, 6 figures

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• Elastic Bending Modulus of Monolayer Graphene
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Cited by in corpus (10)

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• Wave packet dynamics and valley filter in strained graphene
• Electromechanics of Twisted Graphene Nanoribbons
• Mechanical properties of carbynes investigated by ab initio total-energy calculations
• Electron and phonon transport in twisted graphene nanoribbons
• Bending-induced extension in two-dimensional crystals
• Thermal ripples in bilayer graphene
• Influence of material stretchability on the equilibrium shape of a Möbius band
• A one-dimensional continuous model for carbon nanotubes
• On the isothermal geometry of corrugated graphene sheets