Why clothes don't fall apart: tension transmission in staple yarns
Soft Condensed Matter
2018-04-23 v1
Abstract
The problem of how staple yarns transmit tension is addressed within abstract models in which the Amontons-Coulomb friction laws yield a linear programming (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 corresponds to a switch from a ductile to a brittle failure mode accompanied by a significant increase in mechanical strength.
Keywords
Cite
@article{arxiv.1804.07606,
title = {Why clothes don't fall apart: tension transmission in staple yarns},
author = {Patrick B. Warren and Robin C. Ball and Raymond E. Goldstein},
journal= {arXiv preprint arXiv:1804.07606},
year = {2018}
}
Comments
6 pages (main text + supplemental), 5 figures, 1 table; RevTeX 4.1