Nonuniform growth and topological defects in the shaping of elastic sheets
Author:
Affiliation:
1. University of Massachusetts
2. Amherst, USA
Abstract
We demonstrate that shapes with zero Gaussian curvature, except at singularities, produced by the growth-induced buckling of a thin elastic sheet are the same as those produced by the Volterra construction of topological defects in which edges of an intrinsically flat surface are identified.
Publisher
Royal Society of Chemistry (RSC)
Subject
Condensed Matter Physics,General Chemistry
Link
http://pubs.rsc.org/en/content/articlepdf/2014/SM/C4SM00845F
Reference21 articles.
1. Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
2. Designing Responsive Buckled Surfaces by Halftone Gel Lithography
3. Buckling cascades in free sheets
4. Geometry and Elasticity of Strips and Flowers
5. Morphogenesis of Growing Soft Tissues
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