Forceless Sadowsky strips are spherical

E. L. Starostin and G. H. M. van der Heijden
Phys. Rev. E 97, 023001 – Published 8 February 2018

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.

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  • Received 2 May 2017

DOI:https://doi.org/10.1103/PhysRevE.97.023001

©2018 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

E. L. Starostin* and G. H. M. van der Heijden

  • Department of Civil, Environmental & Geomatic Engineering, University College London, Gower Street, London WC1E 6BT, United Kingdom

  • *e.starostin@ucl.ac.uk
  • g.heijden@ucl.ac.uk

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Vol. 97, Iss. 2 — February 2018

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