Skip to main content

Research Repository

Advanced Search

The extended polar writhe: a tool for open curves mechanics

Prior, C.B.; Neukirch, S.

The extended polar writhe: a tool for open curves mechanics Thumbnail


Authors

S. Neukirch



Abstract

A measure of the writhing of a curve is introduced and is used to extend the C?lug?reanu? decomposition for closed curves, as well as the polar decomposition for curves bound between planes. The new writhe measure is also shown to be able to assess changes in linking due to belt-trick and knotting type deformations, and further its utility is illustrated on examples taken from elastic rod parameter-continuation studies. Finally C++ and mathematica codes are made available and shown to be faster than existing algorithms for the numerical computation of the writhe.

Citation

Prior, C., & Neukirch, S. (2016). The extended polar writhe: a tool for open curves mechanics. Journal of Physics A: Mathematical and Theoretical, 49(21), Article 215201. https://doi.org/10.1088/1751-8113/49/21/215201

Journal Article Type Article
Acceptance Date Feb 22, 2016
Online Publication Date Apr 20, 2016
Publication Date May 27, 2016
Deposit Date Apr 21, 2016
Publicly Available Date Mar 29, 2024
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 49
Issue 21
Article Number 215201
DOI https://doi.org/10.1088/1751-8113/49/21/215201

Files

Accepted Journal Article (11.2 Mb)
PDF

Copyright Statement
This is an author-created, un-copyedited version of an article published in Journal of physics A : mathematical and theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1751-8113/49/21/215201





You might also like



Downloadable Citations