A grillage model for predicting wrinkles in annular graphene under circular shearing

Zhang, Z., Duan, W. H. and Wang, C. M. (2013) A grillage model for predicting wrinkles in annular graphene under circular shearing. Journal of Applied Physics, 113 1: . doi:10.1063/1.4772621

Author Zhang, Z.
Duan, W. H.
Wang, C. M.
Title A grillage model for predicting wrinkles in annular graphene under circular shearing
Journal name Journal of Applied Physics   Check publisher's open access policy
ISSN 0021-8979
Publication date 2013-01-07
Year available 2013
Sub-type Article (original research)
DOI 10.1063/1.4772621
Open Access Status File (Publisher version)
Volume 113
Issue 1
Total pages 7
Place of publication Melville, NY, United States
Publisher AIP Publishing
Language eng
Abstract This paper is concerned with a Timoshenko grillage model for modeling the wrinkling phenomenon in annular graphene under circular shearing applied at its inner edge. By calibrating the grillage model results against the molecular mechanics (MM) results, the grillage model comprising beams of elliptical cross-section orientated along the carbon-carbon bond has section dimensions of 0.06 nm for the major axis length and 0.036 nm for the minor axis length. Moreover, the beams are connected to one another at 0.00212 nm from the geometric centric. This eccentric connection of beams allows the proposed grillage model to cater for the cross-couplings among bonds that produce the out-of-plane wrinkling pattern. The out-of-plane to in-plane bending stiffnesses' ratio is 0.36, and the cross bending stiffness provided by the ellipse eccentricity is 0.025 times that of the in-plane bending stiffness. Besides furnishing identical wave numbers as well as amplitudes and wavelengths that are in good agreement with MM results, the grillage model can capture wrinkling patterns with a boundary layer, whereas plate and membrane models could not mimic the boundary layer.
Keyword Graphene
Chemical bonds
Numerical modeling
Materials properties
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 9 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 17 Jan 2017, 20:11:42 EST by Anthony Yeates on behalf of Learning and Research Services (UQ Library)