Planar sheets meet negative-curvature liquid interfaces
Department of Physics, Syracuse University - Syracuse, NY 13244-1130, USA
Received: 30 November 2012
Accepted: 8 February 2013
If an inextensible thin sheet adheres to a substrate with a negative Gaussian curvature, it will experience stress due to geometric frustration. We analyze the consequences of such geometric frustration using analytic arguments and numerical simulations. Both concentric wrinkles and eye-like folds are shown to be compatible with negative curvatures. Which pattern will be realized depends on the curvature of the substrate. We discuss both types of folding patterns and determine the phase diagram governing their appearance.
PACS: 46.32.+x – Static buckling and instability / 46.70.De – Beams, plates, and shells / 68.08.-p – Liquid-solid interfaces
© EPLA, 2013