Model for granular texture with steric exclusion

Abstract

We propose a method to characterize the geometrical texture of a granular packing at the particle scale including the steric hindrance effect. This method is based on the assumption of a maximum directional disorder (statistical entropy) compatible with both the strain-induced anisotropy of the contact network and steric exclusions. We show that the predicted statistics for the local configurations are in fairly good agreement with our numerical data.

A new rate-independent tensorial model for suspensions of noncolloidal rigid particles in Newtonian fluids

“…However, when the volume fraction φ becomes close to the maximal fraction φ m , the second mode dominates. A similar behavior has already been experimentally observed for dry granular material [44], and can be explained by steric exclusion of neighbors. This second Fourier mode cannot be determined by the present model, as explained in appendix A.…”

Conjugate gradient type algorithms for frictional multi-contact problems: applications to granular materials

“…One can appreciate the interest in restricting the research to a subspace of active constraints when we deal with numerous linear constraints. Following the ideas developed by Rosen for linear [39] and non-linear [40] constraints, Mehrez [41] named generalized Rosen method the scheme defined with two parameters a and c …”

“…In this case an investigation of the stress transmissions through the domain during the iterations shows the propagation from the walls to the center is much faster with CPG than NLGS. The local differences do not modify the macroscopic behavior of the sample which may be analyzed with some relevant mean quantities [34,41]. A first coarse sample with 1024 disks is performed with two required accuracies.…”

Spatial force correlations in granular shear flow. II. Theoretical implications

“…In the case that there are two (or more) contacts on a single grain, which is necessary to form a chain, this probability must be modified [45]. The function C(θ i )P z(θ i ) (θ i − θ i−1 ) gives the conditional probability to have a contact at θ i , provided that there already is a contact at It is useful to simplify Equation (21) by defining the function P C (θ i − θ i−1 ), where…”