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

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    mngamp_epl_ua_repository.pdf
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    Description:
    Final Accepted Manuscript
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    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
    
    Metadata
    Show full item record
    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
    ae974a485f413a2113503eed53cd6c53
    10.1209/0295-5075/114/24003
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    UA Faculty Publications

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