Tension-induced multistability in inextensible helical ribbons

Details Tension-induced multistability in inextensible helical ribbons Tension-induced multistability in inextensible helical ribbons

2008-04-02

arxiv.org/abs/0804.0419v1

Phys. Rev. Lett. 101, 0834301 (2008) 4p

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 6 figures

Scientific paper

10.1103/PhysRevLett.101.084301

We study the non-monotonic force-extension behaviour of helical ribbons using a new model for inextensible elastic strips. Unlike previous rod models our model predicts hysteresis behaviour 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 non-uniform 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.

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