Shaping of elastic sheets by prescription of non-Euclidean metrics

Yael Klein, Efi Efrati, Eran Sharon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

512 Scopus citations

Abstract

The connection between a surface's metric and its Gaussian curvature (Gauss theorem) provides the base for a shaping principle of locally growing or shrinking elastic sheets. We constructed thin gel sheets that undergo laterally nonuniform shrinkage. This differential shrinkage prescribes non-Euclidean metrics on the sheets. To minimize their elastic energy, the free sheets form three-dimensional structures that follow the imposed metric. We show how both large-scale buckling and multiscale wrinkling structures appeared, depending on the nature of possible embeddings of the prescribed metrics. We further suggest guidelines for how to generate each type of feature.

Original languageAmerican English
Pages (from-to)1116-1120
Number of pages5
JournalScience
Volume315
Issue number5815
DOIs
StatePublished - 23 Feb 2007

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