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Annual Review of Condensed Matter Physics

Volume 10, 2019

Wrapping Liquids, Solids, and Gases in Thin Sheets

Abstract

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.

Keyword(s): buckling, elastic sheets, geometric incompatibility, inflated surfaces, isometries, wrinkling
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2019-03-10
2024-04-30
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Wrapping Liquids, Solids, and Gases in Thin Sheets
Annual Review of Condensed Matter Physics 10, 431 (2019); https://doi.org/10.1146/annurev-conmatphys-031218-013533
/content/journals/10.1146/annurev-conmatphys-031218-013533
/content/journals/10.1146/annurev-conmatphys-031218-013533
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