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Buckling (wrinkling) of a flat sheet coating curved surfaces

References 47 is:
Hure J, Roman B, Bico J. 2012. Phys. Rev. Lett. 109:054302

FROM:
Joseph D. Paulsen (Department of Physics and Soft and Living Matter Program, Syracuse University, Syracuse, NY, USA),

“Wrapping liquids, solids, and gases in thin sheets”, Annual Review of Condensed Matter Physics, Vol. 10, pp 431-450, March 2019

ABSTRACT: Many objects in nature and industry are wrapped in a thin sheet to enhance their chemical, mechanical, or optical properties. There are similarly a variety of methods for wrapping, from pressing a film onto a hard substrate, to using capillary forces to spontaneously wrap droplets, to inflating a closed membrane. Each of these settings raises challenging nonlinear problems involving the geometry and mechanics of a thin sheet, often in the context of resolving a geometric incompatibility between two surfaces. Here we review recent progress in this area, focusing on highly bendable films that are nonetheless hard to stretch, a class of materials that includes polymer films, metal foils, textiles, graphene, as well as some biological materials. Significant attention is paid to two recent advances: (i) a novel isometry that arises in the doubly-asymptotic limit of high flexibility and weak tensile forcing, and (ii) a simple geometric model for predicting the overall shape of an interfacial film while ignoring small-scale wrinkles, crumples, and folds.

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