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

John Gemmer, Eran Sharon, Toby Shearman, Shankar C. Venkataramani

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

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.

Original languageEnglish (US)
Article number24003
JournalEPL
Volume114
Issue number2
DOIs
StatePublished - Apr 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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