Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets

Persistent Link:
http://hdl.handle.net/10150/617197
Title:
Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
Author:
Gemmer, John; Sharon, Eran; Shearman, Toby; Venkataramani, Shankar C.
Affiliation:
Univ Arizona, Program Appl Math; Univ Arizona, Dept Math
Issue Date:
2016-04-01
Publisher:
EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
Citation:
Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets 2016, 114 (2):24003 EPL (Europhysics Letters)
Journal:
EPL (Europhysics Letters)
Rights:
Copyright © EPLA, 2016
Collection Information:
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.
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
Note:
Published 10 May 2016. 12 month embargo.
ISSN:
0295-5075; 1286-4854
DOI:
10.1209/0295-5075/114/24003
Version:
Final accepted manuscript
Sponsors:
US-Israel BSF grant [2008432]; NSF [DMS-0807501, PHY11-25915]; NSF-RTG grant [DMS-1148284]
Additional Links:
http://stacks.iop.org/0295-5075/114/i=2/a=24003?key=crossref.ca970a13e72357bd09c04133fad11d85

Full metadata record

DC FieldValue Language
dc.contributor.authorGemmer, Johnen
dc.contributor.authorSharon, Eranen
dc.contributor.authorShearman, Tobyen
dc.contributor.authorVenkataramani, Shankar C.en
dc.date.accessioned2016-07-18T21:56:44Z-
dc.date.available2016-07-18T21:56:44Z-
dc.date.issued2016-04-01-
dc.identifier.citationIsometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets 2016, 114 (2):24003 EPL (Europhysics Letters)en
dc.identifier.issn0295-5075-
dc.identifier.issn1286-4854-
dc.identifier.doi10.1209/0295-5075/114/24003-
dc.identifier.urihttp://hdl.handle.net/10150/617197-
dc.description.abstractThe 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, 2016en
dc.description.sponsorshipUS-Israel BSF grant [2008432]; NSF [DMS-0807501, PHY11-25915]; NSF-RTG grant [DMS-1148284]en
dc.language.isoenen
dc.publisherEPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETYen
dc.relation.urlhttp://stacks.iop.org/0295-5075/114/i=2/a=24003?key=crossref.ca970a13e72357bd09c04133fad11d85en
dc.rightsCopyright © EPLA, 2016en
dc.titleIsometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheetsen
dc.typeArticleen
dc.contributor.departmentUniv Arizona, Program Appl Mathen
dc.contributor.departmentUniv Arizona, Dept Mathen
dc.identifier.journalEPL (Europhysics Letters)en
dc.description.notePublished 10 May 2016. 12 month embargo.en
dc.description.collectioninformationThis 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.versionFinal accepted manuscripten
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