A multi-scale approach to granular materials

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Micro-mechanical investigation of material instability in granular assemblies (2006, background): “Defining xe(h,u) = x(h,u)me the number of contacts oriented along a given direction, it follows (Nicot and Darve, 2004, 2005) that: rij ¼ Z Z ½o;p 2 2rgxðh;uÞbF iðh;uÞnjðh;uÞ sin udhdu ð3Þ where rg denotes the mean radius of the sphere-shaped grains and b~F is the average of all contact forces ~F c…”
Bifurcation in granular materials: An attempt for a unified framework (2009, unknown): “These diagrams were obtained from two fundamentally different models: a phenomenological model (Dar-ve’s octolinear model; Darve and Labanieh, 1982) on the left and a micromechanically based model (Nicot’s microdirectional model; Nicot and Darve, 2005) on the right.”
Influence of liquid bridges on the mechanical behaviour of polydisperse granular materials (2006, background): “The cohesion between grains has been considered for normal and tangential actions [25,26], as well as combined actions in the case of two-dimensional cemented grains [7].”