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arXiv · 1804.07606

Why clothes don't fall apart: tension transmission in staple yarns

Patrick B. Warren·Robin C. Ball·Raymond E. Goldstein
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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.

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Patrick B. Warren, Robin C. Ball, Raymond E. Goldstein. 2018-04-20. Why clothes don't fall apart: tension transmission in staple yarns. https://doi.org/10.1103/physrevlett.120.158001

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