Browse

Numerical study on sequential period-doubling bifurcations of graphene wrinkles on a soft substrate

Cited 7 time in Web of Science Cited 8 time in Scopus
Authors
Jung, Jong Hyun; Bae, Jaehyun; Moon, Myoung-Woon; Kim, Kyung-Suk; Ihm, Jisoon
Issue Date
2015-11
Publisher
Elsevier
Citation
Solid State Communications, 222, 14-17.
Keywords
GrapheneWrinkleBifurcationPeriod-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
URI
https://hdl.handle.net/10371/98628
DOI
https://doi.org/10.1016/j.ssc.2015.08.020
Files in This Item:
Appears in Collections:
Student's Archives (학생저작물)Student's WorksGraduated, Researcher (석·박사, 연구생)
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse