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Granular packings with sliding, rolling, and twisting friction

Physical Review E

Santos, Andrew; Bolintineanu, Dan S.; Grest, Gary S.; Lechman, Jeremy B.; Plimpton, Steven J.; Srivastava, Ishan; Silbert, Leonardo E.

Intuition tells us that a rolling or spinning sphere will eventually stop due to the presence of friction and other dissipative interactions. The resistance to rolling and spinning or twisting torque that stops a sphere also changes the microstructure of a granular packing of frictional spheres by increasing the number of constraints on the degrees of freedom of motion. We perform discrete element modeling simulations to construct sphere packings implementing a range of frictional constraints under a pressure-controlled protocol. Mechanically stable packings are achievable at volume fractions and average coordination numbers as low as 0.53 and 2.5, respectively, when the particles experience high resistance to sliding, rolling, and twisting. Only when the particle model includes rolling and twisting friction were experimental volume fractions reproduced.

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Effect of shape and friction on the packing and flow of granular materials

Physical Review E

Salerno, K.M.; Bolintineanu, Dan S.; Grest, Gary S.; Lechman, Jeremy B.; Plimpton, Steven J.; Srivastava, Ishan; Silbert, Leonardo E.

The packing and flow of aspherical frictional particles are studied using discrete element simulations. Particles are superballs with shape |x|s+|y|s+|z|s=1 that varies from sphere (s=2) to cube (s=), constructed with an overlapping-sphere model. Both packing fraction, φ, and coordination number, z, decrease monotonically with microscopic friction μ, for all shapes. However, this decrease is more dramatic for larger s due to a reduction in the fraction of face-face contacts with increasing friction. For flowing grains, the dynamic friction μ - the ratio of shear to normal stresses - depends on shape, microscopic friction, and inertial number I. For all shapes, μ grows from its quasistatic value μ0 as (μ-μ0)=dIα, with different universal behavior for frictional and frictionless shapes. For frictionless shapes the exponent α≈0.5 and prefactor d≈5μ0 while for frictional shapes α≈1 and d varies only slightly. The results highlight that the flow exponents are universal and are consistent for all the shapes simulated here.

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Results 26–44 of 44
Results 26–44 of 44
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