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Issue 19, 2016
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Disclinations, e-cones, and their interactions in extensible sheets

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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.

Graphical abstract: Disclinations, e-cones, and their interactions in extensible sheets

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Publication details

The article was received on 23 Jan 2016, accepted on 16 Apr 2016 and first published on 18 Apr 2016


Article type: Paper
DOI: 10.1039/C6SM00187D
Soft Matter, 2016,12, 4457-4462

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    Disclinations, e-cones, and their interactions in extensible sheets

    J. Chopin and A. Kudrolli, Soft Matter, 2016, 12, 4457
    DOI: 10.1039/C6SM00187D

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