Continuum Plate Theory and Atomistic Modeling to Find the Flexural Rigidity of a Graphene Sheet Interacting with a Substrate | Zendy

Mark Roberts | Zendy; C. B. Clemons | Zendy; J. Patrick Wilber | Zendy; G. W. Young | Zendy; Alper Buldum | Zendy; D. Dane Quinn | Zendy

Open Access

Continuum Plate Theory and Atomistic Modeling to Find the Flexural Rigidity of a Graphene Sheet Interacting with a Substrate

Author(s) -

Mark Roberts,

C. B. Clemons,

J. Patrick Wilber,

G. W. Young,

Alper Buldum,

D. Dane Quinn

Publication year - 2010

Publication title -

journal of nanotechnology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 29

eISSN - 1687-9511

pISSN - 1687-9503

DOI - 10.1155/2010/868492

Subject(s) - flexural rigidity , graphene , materials science , flexural strength , rigidity (electromagnetism) , van der waals force , deflection (physics) , computer simulation , composite material , mechanics , classical mechanics , physics , nanotechnology , molecule , quantum mechanics

Using a combination of continuum modeling, atomistic simulations, and numerical optimization, we estimate the flexural rigidity of a graphene sheet. We consider a rectangular sheet that is initially parallel to a rigid substrate. The sheet interacts with the substrate by van der Waals forces and deflects in response to loading on a pair of opposite edges. To estimate the flexural rigidity, we model the graphene sheet as a continuum and numerically solve an appropriate differential equation for the transverse deflection. This solution depends on the flexural rigidity. We then use an optimization procedure to find the value of the flexural rigidity that minimizes the difference between the numerical solutions and the deflections predicted by atomistic simulations. This procedure predicts a flexural rigidity of 0.26 nN nm=1.62 eV

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research