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Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
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.
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Cites
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Lendlein, A., Jiang, H., Jünger, O., & Langer, R. (2005) · Nature · doi:10.1038/nature03496 · Cited by 2,006
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Yuan, C., Roach, D. J., Dunn, C. K., Mu, Q., Kuang, X., Yakacki, C. M., Wang, T. J., Yu, K., & Qi, H. J. (2017) · Soft Matter · doi:10.1039/c7sm00759k · Cited by 300
Metadata
- Authors
- Klein, Y., Efrati, E., & Sharon, E.
- Venue
- Science
- Published
- 2007-02-23
- Volume
- 315
- Issue
- 5815
- Pages
- 1116-1120
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W1993726971
- Cited by
- 642
- References
- 1
- FWCI
- 36.07
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
