Granular Solid Hydrodynamics

Details Granular Solid Hydrodynamics Granular Solid Hydrodynamics

2008-07-11

arxiv.org/abs/0807.1883v2

Granular Matter (2009) 11:139-156

Physics

Condensed Matter

Soft Condensed Matter

42 pages 3 fig

Scientific paper

10.1007/s10035-009-0137-3

Granular elasticity, an elasticity theory useful for calculating static stress distribution in granular media, is generalized to the dynamic case by including the plastic contribution of the strain. A complete hydrodynamic theory is derived based on the hypothesis that granular medium turns transiently elastic when deformed. This theory includes both the true and the granular temperatures, and employs a free energy expression that encapsulates a full jamming phase diagram, in the space spanned by pressure, shear stress, density and granular temperature. For the special case of stationary granular temperatures, the derived hydrodynamic theory reduces to {\em hypoplasticity}, a state-of-the-art engineering model.

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