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Geometry and Physics of Wrinkling
Open accessAbstract
The wrinkling of thin elastic sheets occurs over a range of length scales, from the fine scale patterns in substrates on which cells crawl to the coarse wrinkles seen in clothes. Motivated by the wrinkling of a stretched elastic sheet, we deduce a general theory of wrinkling, valid far from the onset of the instability, using elementary geometry and the physics of bending and stretching. Our main result is a set of simple scaling laws; the wavelength of the wrinkles lambda approximately K(-1/4), where K is the stiffness due to an "elastic substrate" effect with a multitude of origins, and the amplitude of the wrinkle A approximately lambda. These could form the basis of a highly sensitive quantitative wrinkling assay for the mechanical characterization of thin solid membranes.
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Citations
Cited by
Stress focusing in elastic sheets
Witten, T. A. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.643 · Cited by 401
CHARRAS, G. T. (2008) · Journal of Microscopy · doi:10.1111/j.1365-2818.2008.02059.x · Cited by 320
Metadata
- Authors
- Cerda, E., & Mahadevan, L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-02-19
- Volume
- 90
- Issue
- 7
- Pages
- 074302-074302
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2144237170
- Cited by
- 1,322
- References
- 0
- FWCI
- 50.17
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
