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BEGIN:VEVENT
DTSTAMP:20260625T155942Z
DTSTART;VALUE=DATE-TIME:20170316T130000
DTEND;VALUE=DATE-TIME:20170316T140000
SUMMARY:Theoretical Physics Seminar: Patrick Warren (Unilever)\, The Amon
 tons-Coulomb percolation transition: how a staple yarn transmits tension
  and why our clothes don't fall apart
TZID:Europe/London
UID:20170316-094d43f55a573c76015a6bcf69ca3d7f@warwick.ac.uk
CREATED:20170223T163039Z
DESCRIPTION:In his celebrated 1638 Dialogues Concerning Two New Sciences\
 , Galileo identified a fascinating problem in the mechanics of ropes. Hi
 s fictitious discussant Salviati asks "How are fibres\, each not more th
 an two or three cubits in length\, so tightly bound together in the case
  of a rope one hundred cubits long that great force is required to break
  it?" He then proceeds to explain that " [...] in the case of the rope t
 he very act of twisting causes the threads to bind one another in such a
  way that when the rope is stretched with a great force the fibres break
  rather than separate from each other." With the benefit of hindsight\, 
 one might say Galileo recognized that the mechanical integrity of ropes 
 (and by implication staple yarns and woven fabrics) is down to frictiona
 l contacts between fibres. But beyond this general observation\, and des
 pite our everyday familiarity with these issues\, one can argue that Gal
 ileo's physics problem has remained unresolved for nearly four hundred y
 ears. Here it is proposed that the mechanical integrity of such fibre as
 semblies is actually a consequence of a generic tensile stress percolati
 on transition\, which appears under the Amontons-Coulomb friction laws f
 or long enough fibres and with enough entanglement. This is demonstrated
  in abstract yarn models in which the friction laws are formulated as a 
 linear programming (LP) problem. In these models the percolation transit
 ion is manifest as the onset of LP feasibility\, wherein the yarn can in
  principle support an unbounded tensile load without slippage even thoug
 h the fibre ends remain tension-free.
LOCATION:PS1.28
URL:https://sites.google.com/site/patrickbwarren/
ATTACH:https://sites.google.com/site/patrickbwarren/
CATEGORIES:Theory Seminar
LAST-MODIFIED:20170309T105241Z
ORGANIZER;CN=Gareth Alexander:
END:VEVENT
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