Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 40: Posters II

DY 40.26: Poster

Thursday, March 17, 2011, 17:00–19:00, P3

Influence of polydispersity on the static properties of granular materials — •reza shaebani¹, mahyar madadi², stefan luding³, and dietrich wolf¹ — ¹Department of Theoretical Physics, University of Duisburg-Essen, 47048 Duisburg, Germany — ²Department of Applied Mathematics, The Research School of Physics and Engineering, The Australian National University, Canberra 0200, Australia — ³Multi Scale Mechanics (MSM), TS, CTW, Universiteit Twente , P.O. Box 217, 7500 AE Enschede, Netherlands

We study the effect of polydispersity on the macroscopic physical properties of granular packings in two and three dimensions. A mean-field approach is developed to approximate the micro-scale quantities that are linked to the macroscopic ones. We show that the trace of the fabric and stress tensors are proportional to the mean packing properties (e.g. packing fraction, average coordination number and average normal force) and correction factors which depend only on the moments of particle size distribution. Similar results are obtained for the elements of the stiffness tensor in the linear response regime. In order to compare the analytical results with numerical simulations, static homogeneous packings of particles are generated by means of the contact dynamics method. Our theoretical predictions are in good agreement with the simulation results.