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Why clothes don’t fall apart : tension transmission in staple yarns
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Warren, Patrick B., Ball, Robin and Goldstein, Raymond E. (2018) Why clothes don’t fall apart : tension transmission in staple yarns. Physical Review Letters, 120 (15). 158001. doi:10.1103/PhysRevLett.120.158001 ISSN 1079-7114.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.120.158001
Abstract
The problem of how staple yarns transmit tension is addressed within abstract models in which the Amontons-Coulomb friction laws yield a linear programing (LP) problem for the tensions in the fiber elements. We find there is a percolation transition such that above the percolation threshold the transmitted tension is in principle unbounded. We determine that the mean slack in the LP constraints is a suitable order parameter to characterize this supercritical state. We argue the mechanism is generic, and in practical terms, it corresponds to a switch from a ductile to a brittle failure mode accompanied by a significant increase in mechanical strength.
Item Type: | Journal Article | ||||||||||
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Subjects: | Q Science > QC Physics T Technology > TS Manufactures |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||||
Library of Congress Subject Headings (LCSH): | Spun yarns -- Mathematical models -- Research, Friction, Mechanics, Percolation | ||||||||||
Journal or Publication Title: | Physical Review Letters | ||||||||||
Publisher: | American Physical Society | ||||||||||
ISSN: | 1079-7114 | ||||||||||
Official Date: | 13 April 2018 | ||||||||||
Dates: |
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Volume: | 120 | ||||||||||
Number: | 15 | ||||||||||
Article Number: | 158001 | ||||||||||
DOI: | 10.1103/PhysRevLett.120.158001 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||
Date of first compliant deposit: | 13 June 2018 | ||||||||||
Date of first compliant Open Access: | 13 June 2018 | ||||||||||
RIOXX Funder/Project Grant: |
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