TY - JOUR
T1 - Abrupt out-of-plane edge folding of a circular thin plate: Implication for a mature Victoria regia leaf
AU - YANG, P.
AU - ZHANG, C.
AU - DANG, F.
AU - YAN, Y.
AU - LIU, Y.
AU - CHEN, X.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Soft Matter: Self-organisation and Supramolecular Assemblies
UR - http://www.scopus.com/inward/record.url?scp=84987788581&partnerID=8YFLogxK
U2 - 10.1140/epje/i2016-16085-6
DO - 10.1140/epje/i2016-16085-6
M3 - Journal Article (refereed)
SN - 1292-8941
VL - 39
JO - European Physical Journal E
JF - European Physical Journal E
IS - 9
M1 - 85
ER -