Abstract
Granular solid hydodynamics (GSH) is generalized to account for segregation. The necessary change is minimal, and consists in introducing the concentration c as an additional variable. There is no need for the stress and velocity of every population. GSH’s functionality with respect to all other granular phenomena – from elasto-plastic motion and shear band to the μ (I)-rheology – is preserved.
Highlights
Granular solid hydodynamics (GSH) is generalized to account for segregation
Segregation is a granular phenomenon of considerable practical importance
The phenomena accounted for include static stress distribution, elasto-plastic motion, and the μ(I)-rheology; angles of repose and stability, propagation of elastic waves, compaction [6,7,8]
Summary
Granular solid hydodynamics (GSH) is generalized to account for segregation. The necessary change is minimal, and consists in introducing the concentration c as an additional variable. Though incapable of accounting for segregation, GSH is otherwise a fairly wide-ranged macroscopic theory of granular behavior. The diffusion equation holds irrespective whether the system is compressible, or whether the scaling laws is valid under all circumstances, say for large soft grains mixed with small hard ones.
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