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Plenary: motion of frictional grain packings

Presented by: 
TC Halsey [ExxonMobil Upstream Research Company]
Date: 
Wednesday 7th January 2009 - 09:00 to 09:40
Venue: 
INI Seminar Room 1
Abstract: 
Friction plays a key role in controlling the rheology of dense granular flows. Counting of the number of constraints vs. the number of variables in frictional grain packings indicates that critical coordination numbers zc=3 (in D=2) and zc=4 (in D=3) are special, in that “gear” states in which all contacts roll without frictional sliding are naively possible at and below these average coordination numbers. We construct an explicit example of such a state in D=2, based on a honeycomb lattice. Solving for the forces in such a state, we conclude that organized shear can exist in this state only on scales l
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons