Abrupt out-of-plane edge folding of a circular thin plate: Implication for a mature Victoria regia leaf.
Eur Phys J E Soft Matter
; 39(9): 85, 2016 09.
Article
en En
| MEDLINE
| ID: mdl-27628696
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.
Palabras clave
Texto completo:
1
Colección:
01-internacional
Banco de datos:
MEDLINE
Asunto principal:
Hojas de la Planta
/
Nymphaea
/
Desarrollo de la Planta
/
Modelos Biológicos
Tipo de estudio:
Prognostic_studies
/
Qualitative_research
Idioma:
En
Revista:
Eur Phys J E Soft Matter
Asunto de la revista:
BIOFISICA
Año:
2016
Tipo del documento:
Article
País de afiliación:
China