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

20 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
Article number24003
JournalLettere Al Nuovo Cimento
Volume114
Issue number2
DOIs
StatePublished - Apr 2016

Bibliographical note

Publisher Copyright:
© CopyrightEPLA, 2016.

Fingerprint

Dive into the research topics of 'Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets'. Together they form a unique fingerprint.

Cite this