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Title: Wrapping Liquids, Solids, and Gases in Thin Sheets
Many objects in nature and industry are wrapped in a thin sheet to enhance their chemical, mechanical, or optical properties. Similarly, there are a variety of methods for wrapping, from pressing a film onto a hard substrate to inflating a closed membrane, to spontaneously wrapping droplets using capillary forces. 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, and graphene, as well as some biological materials. Significant attention is paid to two recent advances: a novel isometry that arises in the doubly-asymptotic limit of high flexibility and weak tensile forcing, and a simple geometric model for predicting the overall shape of an interfacial film while ignoring small-scale wrinkles, crumples, and folds.  more » « less
Award ID(s):
1654102
PAR ID:
10095483
Author(s) / Creator(s):
Date Published:
Journal Name:
Annual Review of Condensed Matter Physics
Volume:
10
Issue:
1
ISSN:
1947-5454
Page Range / eLocation ID:
431 to 450
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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