Jung, Jong Hyun Bae, Jaehyun Moon, Myoung-Woon Kim, Kyung-Suk Ihm, Jisoon 2024-01-20T05:34:24Z 2024-01-20T05:34:24Z 2021-09-05 2015-11 0038-1098 https://pubs.kist.re.kr/handle/201004/124803 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. (C) 2015 Elsevier Ltd. All rights reserved. English PERGAMON-ELSEVIER SCIENCE LTD THIN INSTABILITIES Numerical study on sequential period-doubling bifurcations of graphene wrinkles on a soft substrate Article 10.1016/j.ssc.2015.08.020 1 SOLID STATE COMMUNICATIONS, v.222, pp.14 - 17 SOLID STATE COMMUNICATIONS 222 14 17 scie scopus 000363819000004 2-s2.0-84942112188 Physics, Condensed Matter Physics Article THIN INSTABILITIES Graphene Wrinkle Bifurcation Period-doubling