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Forceless Sadowsky strips are spherical

Van Der Heijden, G; Starostin, E; (2018) Forceless Sadowsky strips are spherical. Physical Review E , 97 (2) , Article 023001. 10.1103/PhysRevE.97.023001. Green open access

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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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