Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
AffiliationUniv Arizona, Program Appl Math
Univ Arizona, Dept Math
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CitationIsometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets 2016, 114 (2):24003 EPL (Europhysics Letters)
JournalEPL (Europhysics Letters)
RightsCopyright © EPLA, 2016.
Collection InformationThis 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 firstname.lastname@example.org.
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, 2016
NotePublished 10 May 2016. 12 month embargo.
VersionFinal accepted manuscript
SponsorsUS-Israel BSF grant ; NSF [DMS-0807501, PHY11-25915]; NSF-RTG grant [DMS-1148284]