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Updated: Jul 2, 2026
11:41
Magnetic Tweezers for the Measurement of Twist and Torque
Published on: May 19, 2014
Tension-induced multistability in inextensible helical ribbons.
E L Starostin1, G H M van der Heijden
1Centre for Nonlinear Dynamics, University College London, Gower Street, London WC1E 6BT, United Kingdom. e.starostin@ucl.ac.uk
Physical Review Letters
|September 4, 2008
Summary
This study introduces a new model for helical ribbons, revealing hysteresis and unique uncoiling behaviors. These findings are relevant for developing advanced nanoscale devices and force probes.
Area of Science:
- Soft Matter Physics
- Materials Science
- Nanotechnology
Background:
- Helical ribbons exhibit complex force-extension behavior.
- Previous models did not fully capture hysteresis or distinct helical state transitions.
Purpose of the Study:
- To develop a new model for inextensible elastic strips to study helical ribbon mechanics.
- To investigate nonmonotonic force-extension behavior and associated phenomena.
Main Methods:
- Development of a novel theoretical model for inextensible elastic strips.
- Numerical solutions to analyze ribbon behavior under varying conditions.
Main Results:
- The model predicts hysteresis in low-pitch ribbons, consistent with experimental observations.
- A first-order transition between helical states was identified.
- A new uncoiling scenario involving shearing and loop release was discovered.
Conclusions:
- The new model accurately describes nonmonotonic force-extension behavior and hysteresis in helical ribbons.
- Findings provide insights into the mechanics of cholesterol ribbons and similar structures.
- Results have implications for the design of nanoscale devices, including force probes.
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