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 language | American English |
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Article number | 24003 |
Journal | Lettere Al Nuovo Cimento |
Volume | 114 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2016 |
Bibliographical note
Publisher Copyright:© CopyrightEPLA, 2016.