May 27 – 30, 2015
Mariehamn, Åland
Europe/Stockholm timezone

Wrinkles and folds in a fluid-supported elastic sheet

May 28, 2015, 3:30 PM
Conference room, Arkipelag (Mariehamn, Åland)

Conference room, Arkipelag

Mariehamn, Åland


Haim Diamant (Tel Aviv University)


A thin elastic sheet, floating on top of a fluid, buckles under uniaxial confinement via periodic wrinkles. Upon further confinement the periodic pattern localizes into a deep fold. For a sheet whose length $L$ is much larger than the wrinkle wavelength $\lambda$, the localization transition occurs at an arbitrarily small confinement equal to $\lambda^2/L$. Exact profiles are obtained for wrinkled finite sheets and for folded infinite ones. We show that the integrability of this system is related to a new type of "phason-like" symmetry. For a folded finite sheet we derive the weakly localized profile formed above the wrinkle-to-fold transition and obtain the detailed features of the transition.

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