Wrinkling Hierarchy in Constrained Thin Sheets from Suspended Graphene to Curtains
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Vandeparre-2011-Wrinkling Hierarchy.pdf
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Author(s)
Vandeparre, Hugues
Pineirua, Miguel
Brau, Fabian
Roman, Benoit
Bico, Jose
Gay, C.
Bao, Wenzhong
Lau, Chun Ning
Reis, Pedro Miguel
Damman, Pascal
Date Issued
June 2011
Journal
Physical review letters
Publisher
American Physical Society
Citation
Vandeparre, Hugues et al. “Wrinkling Hierarchy in Constrained Thin Sheets from Suspended Graphene to Curtains.” Physical Review Letters 106, 224301 (2011): n. pag. © 2011 American Physical Society
Version
Final published version
Abstract
We show that thin sheets under boundary confinement spontaneously generate a universal self-similar hierarchy of wrinkles. From simple geometry arguments and energy scalings, we develop a formalism based on wrinklons, the localized transition zone in the merging of two wrinkles, as building blocks of the global pattern. Contrary to the case of crumpled paper where elastic energy is focused, this transition is described as smooth in agreement with a recent numerical work [ R. D. Schroll, E. Katifori and B. Davidovitch Phys. Rev. Lett. 106 074301 (2011)]. This formalism is validated from hundreds of nanometers for graphene sheets to meters for ordinary curtains, which shows the universality of our description. We finally describe the effect of an external tension to the distribution of the wrinkles.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Massachusetts Institute of Technology. Department of Mechanical Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.106.224301
