Discrete-Element Computation of Averaged Tensorial Fields in Sand Piles Consisting of Polygonal Particles |
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| Authors: | Pradip Roul Alexander Schinner Klaus Kassner |
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| Institution: | 1.Institute of Mathematics,Potsdam University,Potsdam,Germany;2.Institute of Theoretical Physics,Otto-Von-Guericke University Magdeburg,Magdeburg,Germany;3.T-Systems,München,Germany |
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| Abstract: | This work is a contribution to the understanding of the mechanical properties of non-cohesive granular materials in the presence
of friction and a continuation of our previous work (Roul et al. 2010) on numerical investigation of the macroscopic mechanical properties of sand piles. Besides previous numerical results obtained
for sand piles that were poured from a localized source (“point source”), we here consider sand piles that were built by adopting
a “line source” or “raining procedure”. Simulations were carried out in two-dimensional systems with soft convex polygonal
particles, using the discrete element method (DEM). First, we focus on computing the macroscopic continuum quantities of the
resulting symmetric sand piles. We then show how the construction history of the sand piles affects their mechanical properties
including strain, fabric, volume fraction, and stress distributions; we also show how the latter are affected by the shape
of the particles. Finally, stress tensors are studied for asymmetric sand piles, where the particles are dropped from either
a point source or a line source. We find that the behaviour of stress distribution at the bottom of an asymmetric sand pile
is qualitatively the same as that obtained from an analytical solution by Didwania and co-workers (Proc R Soc Lond A 456:2569–2588,
2000). |
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