Abrupt out-of-plane edge folding of a circular thin plate : Implication for a mature Victoria regia leaf

Pengfei YANG, Chen ZHANG, Fei DANG, Yuan YAN, Yilun LIU*, Xi CHEN

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

5 Citations (Scopus)

Abstract

Inspired by the observation of the configurations of Victoria regia leaves, we establish a phenomenological buckling model for the abrupt out-of-plane edge folding of a circular thin sheet. A reduced model is first developed, and further refined by a more sophisticated growth strain field so that the resulting buckling morphology resembles that of a mature Victoria regia leaf. Parametric studies are carried out to investigate the effects of geometric, material, and strain field parameters on the buckling morphology. Several main characteristics discovered through numerical studies are verified by theoretical analysis of a simple geometry-based model. Besides, the roles of the thickness variation and cracks are examined. This work may not only shed some light on the morphogenesis of certain plants, but also provide some useful insights on three-dimensional fabrications using mechanical self-assembly. Graphical abstract: [Figure not available: see fulltext.] © 2016, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Article number85
JournalEuropean Physical Journal E
Volume39
Issue number9
DOIs
Publication statusPublished - 16 Sept 2016
Externally publishedYes

Keywords

  • Soft Matter: Self-organisation and Supramolecular Assemblies

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