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Non symmetric localized fold of a floating sheet | | Marco Rivetti
; | | Date: |
12 Oct 2012 | | Abstract: | An elastic sheet lying on the surface of a liquid, if axially compressed,
shows a transition from a smooth sinusoidal pattern to a well localized fold.
This wrinkle-to-fold transition is a manifestation of a localized buckling. The
symmetric and antisymmetric shapes of the fold have recently been described by
Diamant and Witten (2011), who found two exact solutions of the nonlinear
equilibrium equations. In this Note, we show that these solutions can be
generalized to a continuous family of solutions, which yields non symmetric
shapes of the fold. We prove that non symmetric solutions also describe the
shape of a soft strip withdrawn from a liquid bath, a physical problem that
allows to easily observe portions of non symmetric profiles. | | Source: | arXiv, 1210.3537 | | Services: | Forum | Review | PDF | Favorites | |
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