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The irregularity of particle motions during quasi-static deformation is investigated using discrete element (DEM) simulations of sphere and sphere-cluster assemblies. A total of three types of interparticle movements are analyzed: relative motions of particle centers, relative motions of material points of two particles at their contact, and the traversal of contacts across the surfaces of particles. Motions are a complex combination of rolling, sliding, and elastic distortion at the contacts, and all motions are highly irregular and variant, qualities that increase with increasing strain. The relative motions of particle centers diverge greatly from those of an affine displacement of the particles. The motions of the nonconvex sphere-cluster particles were more regular that those of the spheres. The paper also investigates the effect of the distance between two remote particles and their pair-wise relative displacements. Even for particle …