Abstract
A quasi-static discrete element model is proposed for modeling slow deformations of granular materials. A mathematical model for an assembly of convex rigid particles with deformable contacts is formulated. Particular attention is given to the special cases of rigid contacts and Coulomb friction. The assembly equilibrium problem is written as a potential minimization problem subject to a set of non-linear constraints that result from the inpenetrability and sticking friction conditions. An algorithm of the reduced gradient type is proposed that approaches the solution through a sequence of linear minimization sub-problems. The paper concludes with a discussion of algorithm implementation issues.
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