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μ(I) rheology

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In granular mechanics, the μ(I) rheology is one model of the rheology of a granular material. The flow of a granular material is assumed to be governed by the strain rate, the pressure and shear stress, and the model attempts to connect these fields. The effective friction μ is treated as a function of the inertial number I; the name alludes to this dependence.

Details

Development

The μ(I) rheology was developed by Jop et al. in 2006.[1][2]

Evaluation

One deficiency of the μ(I) rheology is that it does not capture the hysteretic properties of a granular material.[3]

References

  1. ^ Holyoake, Alex (December 2011). Rapid Granular Flows in an Inclined Chute (PDF). Retrieved 21 July 2015.
  2. ^ Jop, Pierre; Forterre, Yoël; Pouliquen, Olivier (8 June 2006). "A constitutive law for dense granular flows". Nature. 441 (7094): 727–730. doi:10.1038/nature04801.
  3. ^ Forterre, Yoël; Pouliquen, Olivier (January 2008). "Flows of Dense Granular Media". Annual Review of Fluid Mechanics. 40 (1): 1–24. doi:10.1146/annurev.fluid.40.111406.102142.