Abstract: A non-hydrostatic depth-averaged model for dry granular flows is proposed, taking into account vertical acceleration. A variable friction coefficient based on the μ(I) rheology is considered. The model is obtained from an asymptotic analysis in a local reference system, where the nonhydrostatic contribution is supposed to be small compared to the hydrostatic one. The nonhydrostatic counterpart of the pressure may be written as the sum of two terms: one corresponding to the stress tensor and the other to the vertical acceleration. The model int...
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Topics: 
Mechanics
Mathematical analysis
Geometry