Wrinkling hierarchy in constrained thin sheets from suspended graphene to curtains.

作者: Hugues Vandeparre , Miguel Piñeirua , Fabian Brau , Benoit Roman , José Bico

DOI: 10.1103/PHYSREVLETT.106.224301

关键词: ElectronicsNucleationThin sheetMaterials scienceFuel cellsNanotechnologyEngineering physicsMechanical failureGrapheneThin filmMiniaturization

摘要: The drive towards miniaturization in technology is demanding for increasingly thinner components, raising new mechanical challenges. Thin films are however unstable to boundary or substrate-induced compressive loads. Moderate compression results regular wrinkling while further confinement can lead crumpling. Regions of stress focusing be a hindrance, acting as nucleation points failure. Conversely, they exploited constructively tunable thin structures. For example, singular deformation dramatically affect the electronic properties graphene. Here, we show that sheets under spontaneously generate universal self-similar hierarchy wrinkles; from strained suspended graphene ordinary hanging curtains. We develop formalism based on "wrinklons", localized transition zone merging two wrinkles, building-blocks describe these wrinkled patterns. Our approach may find applications domains such graphene-based electronics, fuel cell technology, thin-film solar cells draping virtual reality.

参考文章(34)
Ned Bowden, Scott Brittain, Anthony G. Evans, John W. Hutchinson, George M. Whitesides, Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer Nature. ,vol. 393, pp. 146- 149 ,(1998) , 10.1038/30193
Enrique Cerda, Sahraoui Chaieb, Francisco Melo, L. Mahadevan, Conical dislocations in crumpling Nature. ,vol. 401, pp. 46- 49 ,(1999) , 10.1038/43395
Wenzhong Bao, Feng Miao, Zhen Chen, Hang Zhang, Wanyoung Jang, Chris Dames, Chun Ning Lau, Controlled ripple texturing of suspended graphene and ultrathin graphite membranes Nature Nanotechnology. ,vol. 4, pp. 562- 566 ,(2009) , 10.1038/NNANO.2009.191
L. Pocivavsek, R. Dellsy, A. Kern, S. Johnson, B. Lin, K. Y. C. Lee, E. Cerda, Stress and fold localization in thin elastic membranes. Science. ,vol. 320, pp. 912- 916 ,(2008) , 10.1126/SCIENCE.1154069
B. Audoly, A. Boudaoud, Self-similar structures near boundaries in strained systems. Physical Review Letters. ,vol. 91, pp. 086105- 086105 ,(2003) , 10.1103/PHYSREVLETT.91.086105
Benny Davidovitch, Period fissioning and other instabilities of stressed elastic membranes. Physical Review E. ,vol. 80, pp. 025202- ,(2009) , 10.1103/PHYSREVE.80.025202
Weimin Jin, Peter Sternberg, Energy estimates for the von Kármán model of thin-film blistering Journal of Mathematical Physics. ,vol. 42, pp. 192- 199 ,(2001) , 10.1063/1.1316058
Michael Ortiz, Gustavo Gioia, The morphology and folding patterns of buckling-driven thin-film blisters Journal of The Mechanics and Physics of Solids. ,vol. 42, pp. 531- 559 ,(1994) , 10.1016/0022-5096(94)90030-2