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Numerical study on sequential period-doubling bifurcations of graphene wrinkles on a soft substrate
Cited 10 time in
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Cited 11 time in Scopus
- Authors
- Issue Date
- 2015-11
- Publisher
- Elsevier
- Citation
- Solid State Communications, 222, 14-17.
- Keywords
- Graphene ; Wrinkle ; Bifurcation ; Period-doubling
- Abstract
- A compressed stiff film on a soft substrate may exhibit wrinkles and, under increased compressive strain, post-buckling instabilities as well. We numerically analyze wrinkling behaviors of graphene attached on a polydimethylsiloxane (PDMS) substrate under lateral compression. The finite element method is used to simulate the equilibrium shape of the wrinkles as a function of compressive strain. Two-dimensional stretching and bending properties of graphene are obtained by density functional theory analysis, which are then converted to equivalent elastic properties of a continuum film with finite effective thickness. The PDMS is described using an Ogden or a neo-Hookean material model. Wrinkles first appear at extremely small strain. As the lateral compression increases, due to the nonlinear elasticity of the PDMS, sequential period-doubling bifurcations of the wrinkle mode are activated until the bifurcation stops and the film folds. We show that the bifurcations are consequences of a delicate balance between the deformations of the film and the substrate to minimize the total energy.
- ISSN
- 0038-1098
- Language
- English
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