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Abstract
We report on the analysis of data created by contact dynamic simulations to determine the functional form of the distribution of normal forces and normal pressures found in 2- and 3- dimensional random packings of granular media under uniaxial compression, as well as the effect of the degree of polydispersity on the force distribution. We observe that in 2D: the functional form of the tail of the force distribution is very close to an exponetial and gets gets rapidly closer as polydispersity increases. It is also found that greater polydispersity increases the standard deviation of the force distibution. The functional form of the pressure distribution’s tail is a gaussian. We observe that in 3D: the function form of the tail for force and pressure is a streched exponential with power of alpha = 0.58 for force and alpha = 1.58 for pressure.
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