Folded isometric deformations and banana-shaped seedpod

Thin vegetal shells have recently been a significant source of inspiration for the design of smart materials and soft actuators. Herein is presented a novel analytical family of isometric deformations with a family of θ-folds crossing a family of parallel z-folds; it contains the isometric deformati...

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Bibliographic Details
Published inProceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 472; no. 2192; p. 20150760
Main Author Couturier, Etienne
Format Journal Article
LanguageEnglish
Published England The Royal Society Publishing 01.08.2016
Subjects
Actuators
Banana
Bending Energy
Deformation
Design analysis
Design engineering
Elongation
Fold
Inspiration
Isometry
Mathematical analysis
Optimization
Thin Shell
banana
fold
thin shell
bending energy
isometry
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Summary:Thin vegetal shells have recently been a significant source of inspiration for the design of smart materials and soft actuators. Herein is presented a novel analytical family of isometric deformations with a family of θ-folds crossing a family of parallel z-folds; it contains the isometric deformations of a banana-shaped surface inspired by a seedpod, which converts a vertical closing into either an horizontal closing or an opening depending on the location of the fold. Similarly to the seedpod, optimum shapes for opening ease are the most elongated ones.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2015.0760