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

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dc.contributor.authorJung, Jong Hyun-
dc.contributor.authorBae, Jaehyun-
dc.contributor.authorMoon, Myoung-Woon-
dc.contributor.authorKim, Kyung-Suk-
dc.contributor.authorIhm, Jisoon-
dc.date.accessioned2016-10-27T08:31:08Z-
dc.date.available2016-10-27T08:31:08Z-
dc.date.issued2015-11-
dc.identifier.citationSolid State Communications, 222, 14-17.ko_KR
dc.identifier.issn0038-1098-
dc.identifier.urihttps://hdl.handle.net/10371/98628-
dc.description.abstractA 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.ko_KR
dc.description.sponsorshipJ.H.J., J.B., and J.I. were supported by the National Research Foundation of Korea through the MSIP Grant no. 2006-0093853 and the Korea Institute of Science and Technology. M.-W.M. was supported by the Korea Institute of Science and Technology (KIST), and K.-S.K. by the Institute for Molecular and Nanoscale Innovation (IMNI) at Brown University (GR260000.1001) and KIST (529243). Computations were performed through the support from the Korea Institute of Science and Technology Information.ko_KR
dc.language.isoenko_KR
dc.publisherElsevierko_KR
dc.subjectGrapheneko_KR
dc.subjectWrinkleko_KR
dc.subjectBifurcationko_KR
dc.subjectPeriod-doublingko_KR
dc.titleNumerical study on sequential period-doubling bifurcations of graphene wrinkles on a soft substrateko_KR
dc.typeArticleko_KR
dc.contributor.AlternativeAuthor정종현-
dc.contributor.AlternativeAuthor배재현-
dc.contributor.AlternativeAuthor문명운-
dc.contributor.AlternativeAuthor김경석-
dc.contributor.AlternativeAuthor임지순-
dc.identifier.doi10.1016/j.ssc.2015.08.020-
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