TY - JOUR PY - 2018// TI - Why clothes don't fall apart: tension transmission in staple yarns JO - Physical review letters A1 - Warren, Patrick B. A1 - Ball, Robin C. A1 - Goldstein, Raymond E. SP - e158001 EP - e158001 VL - 120 IS - 15 N2 - 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.
Language: en
LA - en SN - 0031-9007 UR - http://dx.doi.org/10.1103/PhysRevLett.120.158001 ID - ref1 ER -