TY - JOUR
T1 - Rate effects in dense granular materials: Linear stability analysis and the fall of granular columns
AU - Lemiale, Vincent
AU - Muhlhaus, Hans
AU - Meriaux, Catherine
AU - Moresi, Louis-Noel
AU - Hodkinson, L
PY - 2011
Y1 - 2011
N2 - In this paper, the suitability of rate-dependent constitutive
relationships to model the rheology of granular materials is
investigated. In particular, the formation of shear bands as predicted
by this approach is studied. First, a rate-dependent model is
investigated in terms of a linear stability analysis. It turns out
that at low to moderate strain rates, the orientation of shear bands
tends to vary from the so-called Roscoe and Coulomb solutions towards
a unique admissible orientation with an increase of the so-called
inertial number I. This effect is confirmed by numerical simulations
of a compression test performed with a particle in cell finite element
program. To further assess the validity of continuum approaches for
the simulation of dense granular flows, a quasi-static fall of a
granular column is studied numerically and the results are confronted
to available experimental data. It is shown that a satisfying
agreement is obtained at different aspect ratios and for the two
materials investigated in this paper, i.e. sand and glass beads. The
results reported in the present paper demonstrate the relevance of
continuum approaches in the modelling of dense granular flows.
AB - In this paper, the suitability of rate-dependent constitutive
relationships to model the rheology of granular materials is
investigated. In particular, the formation of shear bands as predicted
by this approach is studied. First, a rate-dependent model is
investigated in terms of a linear stability analysis. It turns out
that at low to moderate strain rates, the orientation of shear bands
tends to vary from the so-called Roscoe and Coulomb solutions towards
a unique admissible orientation with an increase of the so-called
inertial number I. This effect is confirmed by numerical simulations
of a compression test performed with a particle in cell finite element
program. To further assess the validity of continuum approaches for
the simulation of dense granular flows, a quasi-static fall of a
granular column is studied numerically and the results are confronted
to available experimental data. It is shown that a satisfying
agreement is obtained at different aspect ratios and for the two
materials investigated in this paper, i.e. sand and glass beads. The
results reported in the present paper demonstrate the relevance of
continuum approaches in the modelling of dense granular flows.
UR - http://onlinelibrary.wiley.com/doi/10.1002/nag.895/abstract;jsessionid=91D901AD4CC65AC03FD326464FA9E16D.d02t03
U2 - 10.1002/nag.895
DO - 10.1002/nag.895
M3 - Article
VL - 35
SP - 293
EP - 308
JO - International Journal for Numerical and Analytical Methods in Geomechanics
JF - International Journal for Numerical and Analytical Methods in Geomechanics
SN - 0363-9061
IS - 2
ER -