@article{fdi:010064180,
  title = {{V}iscoplastic modeling of granular column collapse with pressure-dependent rheology},
  author = {{I}onescu, {L}. {R}. and {M}angeney, {A}. and {B}ouchut, {F}. and {R}oche, {O}livier},
  editor = {},
  language = {{ENG}},
  abstract = {{A} mechanical and numerical model of dry granular flows is proposed that quantitatively reproduce laboratory experiments of granular column collapse over inclined planes. {T}he rheological parameters are directly derived from the experiments. {T}he so-called mu({I}) rheology is reformulated in the framework of {D}rucker-{P}rager plasticity with the yield stress and viscosity eta(parallel to {D} parallel to, p) depending on both the pressure p and the norm of the strain rate tensor parallel to {D} parallel to. {T}he granular domain, velocities, stress deviator and pressure fields are calculated using a finite element method based on an iterative decomposition coordination formulation coupled with the augmented {L}agrangian method. 2-{D} simulations using this model well reproduce the dynamics and deposits of collapsing granular columns. {T}he flow is essentially located in a surface layer behind the front, whereas it is distributed over the whole depth near the front where basal sliding occurs. {T}he computed runout distances and slopes of the deposits agree very well with the values found in the experiments. {U}sing an easily calculated order of magnitude approximation of the mean viscosity during the flow (eta = 1 {P}a s here), we show that a {D}rucker {P}rager rheology with a constant viscosity gives results very similar to the mu({I}) rheology and agrees with experimental height profiles, while significantly reducing the computational cost. {W}ithin the range of viscosities 0.1 < eta < 1 {P}a s, the dynamics and deposits are very similar. {T}he observed slumping behavior therefore appears to be mainly due to the flow/no-flow criterion and to the associated strain-independent part of the "flowing constitutive relation" (i.e. related to plastic effects). {H}owever, the results are very different when an unrealistically large value of viscosity (10 {P}a s) is used.},
  keywords = {{G}ranular collapse ; {V}iscoplastic rheology ; {D}rucker-{P}rager plasticity ; {Y}ield stress ; {V}ariable viscosity ; {A}ugmented {L}agrangian},
  booktitle = {},
  journal = {{J}ournal of {N}on-{N}ewtonian {F}luid {M}echanics},
  volume = {219},
  numero = {},
  pages = {1--18},
  ISSN = {0377-0257},
  year = {2015},
  DOI = {10.1016/j.jnnfm.2015.02.006},
  URL = {https://www.documentation.ird.fr/hor/fdi:010064180},
}