Speaker
Haim Diamant
(Tel Aviv University)
Description
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.
