Abstract
Granular material is characterized by the appearance of localization phenomena, as for instance the formation of shear bands under the influence of gravity. By means of a micromechanically motivated discrete element method (DEM), two-dimensional simulations of monodisperse circular disks are performed, where both translational and rotational degrees of freedom of the particles are taken into account by the consideration of Newtonian equations of motion for the translations and by Eulerian equations of motion for the rotations of the single particles. It turns out that even for the simplest contact laws, e. g. a combination of Coulomb and Newton type friction for the tangential contact of monodisperse particles and a repulsive damped spring normal contact force, shear bands are obtained. In the regime of small relative tangential velocities, the viscous part of the frictional contact law becomes effective. Then, “slow” relative tangential velocities are surpressed corresponding to an enforcing of rolling modes characterized by zero relative tangential velocities in the contact points and leading to an instability that corresponds to shear banding. The DEM simulations furthermore suggest that the size distribution of the assembly modifies the shape of the shear band but is not necessary for its formation. These propositions seem to be in agreement with the experimental observations reported in the paper by Viggiani et al. [23] included in this volume.
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Ehlers, W., Diebels, S., Michelitsch, T. (2001). Microscopic modelling of granular materials taking into account particle rotations. In: Vermeer, P.A., Herrmann, H.J., Luding, S., Ehlers, W., Diebels, S., Ramm, E. (eds) Continuous and Discontinuous Modelling of Cohesive-Frictional Materials. Lecture Notes in Physics, vol 568. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44424-6_18
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DOI: https://doi.org/10.1007/3-540-44424-6_18
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