Topological mechanics of knots and tangles-Reference-Cited by-同舟云学术

Topological mechanics of knots and tangles

Published:2020-01-03 Issue:6473 Volume:367 Page:71-75
ISSN:0036-8075
Container-title:Science
language:en
Short-container-title:Science

Author:

Patil Vishal P.¹^ORCID,Sandt Joseph D.²^ORCID,Kolle Mathias²^ORCID,Dunkel Jörn¹^ORCID

Affiliation:

1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

Abstract

It's knot what you know Why is it that some knots seem to hold tight while others readily slip apart? Patil et al. develop a theoretical analysis of the stability of knots and find links between topological parameters (twist charge, crossing numbers, handedness) and mechanical stability. The theory is confirmed using simulations and experiments on color-changing fibers that optically show localized stress differences in different parts of the knot as the two strands are pulled apart. The authors show why some common knots slip easily and untie, whereas others hold tight. Science , this issue p. 71

Funder

National Science Foundation

Alfred P. Sloan Foundation

James S. McDonnell Foundation

Brigham and Women's Hospital

Isaac Newton Institute for Mathematical Sciences

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference32 articles.

1. J. C. Turner P. van de Griend Eds. History and Science of Knots vol. 11 of K & E Series on Knots and Everything (World Scientific 1996).