Physics
Disclinations, e-cones, and their interactions in extensible sheets
Document Type
Article
Abstract
We investigate the nucleation, growth, and spatial organization of topological defects with a ribbon shaped elastic sheet which is stretched and twisted. Singularities are found to spontaneously arrange in a triangular lattice in the form of vertices connected by stretched ridges that result in a self-rigidified structure. The vertices are shown to be negative disclinations or e-cones which occur in sheets with negative Gaussian curvature, in contrast with d-cones in sheets with zero-Gaussian curvature. We find the growth of the wrinkled width of the ribbon to be consistent with a far-from-threshold approach assuming a compression-free base state. The system is found to show a transition from a regime where the wavelength is given by the ribbon geometry, to where it is given by its elasticity as a function of the ratio of the applied tension to the elastic modulus and cross-sectional area of the ribbon.
Publication Title
Soft Matter
Publication Date
1-2016
Volume
12
Issue
19
First Page
4457
Last Page
4462
ISSN
1744-683X
DOI
10.1039/c6sm00187d
Keywords
ribbon, elasticity
Repository Citation
Chopin, Julien and Kudrolli, Arshad, "Disclinations, e-cones, and their interactions in extensible sheets" (2016). Physics. 104.
https://commons.clarku.edu/faculty_physics/104
