Size- and temperature-dependent bending rigidity of graphene using modal analysis

Journal article (2018)

Authors

B. Sajadi Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
B. Arash Applied Mechanics - CEG
P. Belardinelli Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
P.G. Steeneken Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering , QN/Steeneken Lab - AS
F. Alijani Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
Research Group
Dynamics of Micro and Nano Systems (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2018 B. Sajadi, Simon van Hemert, B. Arash, P. Belardinelli, P.G. Steeneken, F. Alijani
DOI
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https://doi.org/10.1016/j.carbon.2018.06.066
Brownian motion Graphene Molecular dynamics Characterization Bending rigidity Multi-modal approach
More Info
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Published Date

2018

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Dynamics of Micro and Nano Systems

Abstract

The bending rigidity of two-dimensional (2D) materials is a key parameter for understanding the mechanics of 2D NEMS devices. The apparent bending rigidity of graphene membranes at macroscopic scale differs from theoretical predictions at micro-scale. This difference is believed to originate from thermally induced dynamic ripples in these atomically thin membranes. In this paper, we perform modal analysis to estimate the effective bending rigidity of graphene membranes from the frequency spectrum of their Brownian motion. Our method is based on fitting the resonance frequencies obtained from the Brownian motion in molecular dynamics simulations, to those obtained from a continuum mechanics model, with bending rigidity and pretension as the fit parameters. In this way, the effective bending rigidity of the membrane and its temperature and size dependence, are extracted, while including the effects of dynamic ripples and thermal fluctuations. The proposed method provides a framework for estimating the macroscopic mechanical properties in other 2D nanostructures at finite temperatures.