Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session K29: Morphing Matter II
3:00 PM–5:12 PM,
Tuesday, March 5, 2024
Room: 101J
Sponsoring
Unit:
DSOFT
Chair: Tian Gao, Physique et Mécanique des Milieux Hétérogènes, ESPCI
Abstract: K29.00003 : Wrinkling Instability Induced by Geometrical Frustration*
3:24 PM–3:36 PM
Presenter:
Ido Levin
(University of Washington)
Authors:
Ido Levin
(University of Washington)
Sarah L Keller
(University of Washington)
In this work, we investigate wrinkles of the second type, from a geometrical point of view. We use latex sheets that undergo differential swelling – one half of the sheet is exposed to a solvent that swells it, while the other is not. The two areas meet at a sharp transition. This geometry corresponds to two cylinders of different radii joined by a smooth transition region, like a wine bottle. However, we show that when the radius of one of the cylinders is fixed to a non-equilibrium value, a smooth isometric embedding of the system is no longer possible, and longitudinal wrinkles appear to prevent the stretching of the material. We study the origin of this phenomenon and identify the scaling of the wavelength and size of the wrinkled domain. We find that when the radius grows to infinity, the system behaves like hanging drapes. The study results are relevant to other cases where differential swelling induces wrinkling instability, such as in plants and in synthetic responsive materials.
*This research was partially funded by NSF MCB – 1925731. IL acknowledges the generous support of the Washington Research Foundation.
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