Forceless Sadowsky strips are spherical

Journal article


Starostin, EL and Van Der Heijden, GHM (2018). Forceless Sadowsky strips are spherical. Physical Review E. 97 (2), pp. 023001-. https://doi.org/10.1103/PhysRevE.97.023001
AuthorsStarostin, EL and Van Der Heijden, GHM
Abstract

© 2018 American Physical Society. 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.

Year2018
JournalPhysical Review E
Journal citation97 (2), pp. 023001-
PublisherAmerican Physical Society
ISSN2470-0045
Digital Object Identifier (DOI)https://doi.org/10.1103/PhysRevE.97.023001
Publication dates
Print08 Feb 2018
Online08 Feb 2018
Publication process dates
Accepted08 Jan 2018
Deposited10 Jan 2020
Accepted author manuscript
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Open
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