Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
| dc.contributor.author | Gemmer, John | |
| dc.contributor.author | Sharon, Eran | |
| dc.contributor.author | Shearman, Toby | |
| dc.contributor.author | Venkataramani, Shankar C. | |
| dc.date.accessioned | 2016-07-18T21:56:44Z | |
| dc.date.available | 2016-07-18T21:56:44Z | |
| dc.date.issued | 2016-04-01 | |
| dc.identifier.citation | Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets 2016, 114 (2):24003 EPL (Europhysics Letters) | en |
| dc.identifier.issn | 0295-5075 | |
| dc.identifier.issn | 1286-4854 | |
| dc.identifier.doi | 10.1209/0295-5075/114/24003 | |
| dc.identifier.uri | http://hdl.handle.net/10150/617197 | |
| dc.description.abstract | The edges of torn plastic sheets and growing leaves often display hierarchical buckling patterns. We show that this complex morphology i) emerges even in zero strain configurations, and ii) is driven by a competition between the two principal curvatures, rather than between bending and stretching. We identify the key role of branch point (or "monkey saddle") singularities in generating complex wrinkling patterns in isometric immersions, and show how they arise naturally from minimizing the elastic energy. Copyright (C) EPLA, 2016 | |
| dc.description.sponsorship | US-Israel BSF grant [2008432]; NSF [DMS-0807501, PHY11-25915]; NSF-RTG grant [DMS-1148284] | en |
| dc.language.iso | en | en |
| dc.publisher | EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY | en |
| dc.relation.url | http://stacks.iop.org/0295-5075/114/i=2/a=24003?key=crossref.ca970a13e72357bd09c04133fad11d85 | en |
| dc.rights | Copyright © EPLA, 2016. | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.title | Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets | en |
| dc.type | Article | en |
| dc.contributor.department | Univ Arizona, Program Appl Math | en |
| dc.contributor.department | Univ Arizona, Dept Math | en |
| dc.identifier.journal | EPL (Europhysics Letters) | en |
| dc.description.note | Published 10 May 2016. 12 month embargo. | en |
| dc.description.collectioninformation | This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu. | en |
| dc.eprint.version | Final accepted manuscript | en |
| refterms.dateFOA | 2017-05-10T00:00:00Z | |
| html.description.abstract | The edges of torn plastic sheets and growing leaves often display hierarchical buckling patterns. We show that this complex morphology i) emerges even in zero strain configurations, and ii) is driven by a competition between the two principal curvatures, rather than between bending and stretching. We identify the key role of branch point (or "monkey saddle") singularities in generating complex wrinkling patterns in isometric immersions, and show how they arise naturally from minimizing the elastic energy. Copyright (C) EPLA, 2016 |
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