ABSTRACT
ABSTRACT: We review a recent calculation by Jenkins, Johnson, LaRagione and Makse (2004) of effective moduli for a random aggregate of identical spheres that interact through elastic, frictionless contacts. We indicate how fluctuations in the displacements and rotations of a typical pair of particles can be incorporated into the incremental stress-strain relation and how the balance of force and moment may be used to determine these fluctuations. For the special case of frictionless particles, Jenkins et al. (2004) introduce heterogeneity in the geometry and interactions of the pair with its neighbors and calculate the incremental moduli of an isotropic packing subjected to an isotropic pressure. They compare the predicted moduli to those measured in numerical simulations.
1 INTRODUCTION
