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Tension-induced multistability in inextensible helical ribbons.

Starostin, EL; van der Heijden, GH; (2008) Tension-induced multistability in inextensible helical ribbons. Phys Rev Lett , 101 (8) 084301-. Green open access

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Abstract

We study the nonmonotonic force-extension behavior of helical ribbons using a new model for inextensible elastic strips. Unlike previous rod models, our model predicts hysteresis behavior for low-pitch ribbons of arbitrary material properties. Associated with it is a first-order transition between two different helical states as observed in experiments with cholesterol ribbons. Numerical solutions show nonuniform uncoiling with hysteresis also occurring under controlled tension. They furthermore reveal a new uncoiling scenario in which a ribbon of very low pitch shears under tension and successively releases a sequence of almost planar loops. Our results may be relevant for nanoscale devices such as force probes.

Type: Article
Title: Tension-induced multistability in inextensible helical ribbons.
Location: United States
Open access status: An open access version is available from UCL Discovery
Keywords: Elasticity, Models, Chemical, Models, Theoretical, Molecular Conformation, Thermodynamics
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science
UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/13855
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