Why Clothes Don't Fall Apart: Tension Transmission in Staple Yarns.

  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={Physical review letters},
  volume={120 15},
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… 

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