Localization of breakage points in knotted strings

Details

Serval ID
serval:BIB_2EC6115E77F5
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Localization of breakage points in knotted strings
Journal
New Journal of Physics
Author(s)
Pieranski P., Kasas S., Dietler G., Dubochet J., Stasiak A.
ISSN
1367-2630
Publication state
Published
Issued date
2001
Peer-reviewed
Oui
Volume
3
Pages
10.1-10.13
Language
english
Abstract
It is a common macroscopic observation that knotted ropes or fishing lines under tension easily break at the knot. However, a more precise localization of the breakage point in knotted macroscopic strings is a difficult task. In the present work, the tightening of knots was numerically simulated, a comparison of strength of different knots was experimentally performed and a high velocity camera was used to precisely localize the site where knotted macroscopic strings break. In the case of knotted spaghetti, the breakage occurs at the position with high curvature at the entry to the knot. This localization results from joint contributions of loading, bending and friction forces into the complex process of knot breakage. The present simulations and experiments are in agreement with recent molecular dynamics simulations of a knotted polymer chain and with experiments performed on actin and DNA filaments. The strength of the knotted string is greatly reduced (down to 50%) by the presence of a knot, therefore reducing the resistance to tension of all materials containing chains of any sort. The present work with macroscopic strings revels some important aspects, which are not accessible by experiments with microscopic chains.
Web of science
Open Access
Yes
Create date
24/01/2008 11:25
Last modification date
20/08/2019 14:13
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