Van Der Heijden, G;
Starostin, E;
(2018)
Forceless Sadowsky strips are spherical.
Physical Review E
, 97
(2)
, Article 023001. 10.1103/PhysRevE.97.023001.
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Abstract
We show that thin rectangular ribbons, defined as energy-minimizing configurations of the Sadowsky functional for narrow developable elastic strips, have a propensity to form spherical shapes in the sense that forceless solutions lie on a sphere. This has implications for ribbonlike objects in (bio)polymer physics and nanoscience that cannot be described by the classical wormlike chain model. A wider class of functionals with this property is identified.
| Type: | Article |
|---|---|
| Title: | Forceless Sadowsky strips are spherical |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.97.023001 |
| Publisher version: | https://doi.org/10.1103/PhysRevE.97.023001 |
| Language: | English |
| Additional information: | This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | elastic strip, one-dimensional variational problem, Sadowsky functional, equilibrium equations, spherical curves, bio- and nanofilaments |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10043042 |
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