Geometry and Mechanics in the Opening of Chiral Seed Pods
Top Cited Papers
- 23 September 2011
- journal article
- other
- Published by American Association for the Advancement of Science (AAAS) in Science
- Vol. 333 (6050), 1726-1730
- https://doi.org/10.1126/science.1203874
Abstract
We studied the mechanical process of seed pods opening in Bauhinia variegate and found a chirality-creating mechanism, which turns an initially flat pod valve into a helix. We studied configurations of strips cut from pod valve tissue and from composite elastic materials that mimic its structure. The experiments reveal various helical configurations with sharp morphological transitions between them. Using the mathematical framework of “incompatible elasticity,” we modeled the pod as a thin strip with a flat intrinsic metric and a saddle-like intrinsic curvature. Our theoretical analysis quantitatively predicts all observed configurations, thus linking the pod’s microscopic structure and macroscopic conformation. We suggest that this type of incompatible strip is likely to play a role in the self-assembly of chiral macromolecules and could be used for the engineering of synthetic self-shaping devices.Keywords
This publication has 18 references indexed in Scilit:
- How wet paper curlsEurophysics Letters, 2011
- Buckling transition and boundary layer in non-Euclidean platesPhysical Review E, 2009
- Hygromorphs: from pine cones to biomimetic bilayersJournal of The Royal Society Interface, 2009
- Elastic theory of unconstrained non-Euclidean platesJournal of the Mechanics and Physics of Solids, 2009
- The Role of Wheat Awns in the Seed Dispersal UnitScience, 2007
- Physical Limits and Design Principles for Plant and Fungal MovementsScience, 2005
- Helicoid to Spiral Ribbon TransitionPhysical Review Letters, 2005
- How the Venus flytrap snapsNature, 2005
- Shape Selection in Chiral Self-AssemblyPhysical Review Letters, 2004
- Deployment dynamics of tape springsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1999