Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
Name:
mngamp_epl_ua_repository.pdf
Size:
3.401Mb
Format:
PDF
Description:
Final Accepted Manuscript
Affiliation
Univ Arizona, Program Appl MathUniv Arizona, Dept Math
Issue Date
2016-04-01Metadata
Show full item recordCitation
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, 2016Collection 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, 2016Note
Published 10 May 2016. 12 month embargo.ISSN
0295-50751286-4854