This review focuses on how the modeling of dense granular media has advanced over the
last 15 years. The jum**-off point of our review is the μ (I) rheology for dry granular flow …

The aim of this article is to discuss the concepts of non-local rheology and fluidity, recently
introduced to describe dense granular flows. We review and compare various approaches …

Granular materials such as sand, powders and foams are ubiquitous in daily life and in
industrial and geotechnical applications,,,. These disordered systems form stable structures …

We propose and numerically implement a constitutive framework for granular media that
allows the material to traverse through its many common phases during the flow process …

A recent granular rheology based on an implicit “granular fluidity” field has been shown to
quantitatively predict many nonlocal phenomena. However, the physical nature of the field …

Flows of granular media down a rough inclined plane demonstrate a number of nonlocal
phenomena. We apply the recently proposed nonlocal granular fluidity model to this …

This paper reviews the emergence of non-local flow phenomena in granular materials and
discusses a range of models that have been proposed to integrate an intrinsic length-scale …

Several theoretical predictions of the mass flow rate of granular media discharged from a
silo are based on the spontaneous development of a free-fall arch region, the existence of …

Understanding the response of granular matter to intrusion of solid objects is key to
modelling many aspects of behaviour of granular matter, including plastic flow. Here we …

We show that the yielding transition in granular media displays second-order critical-point
scaling behavior. We carry out discrete element simulations in the low-inertial-number limit …