Abstract
We recently developed a novel extension of MR Elastograpy (MRE) to image the force chain structure within a dense 3D quasi‐static granular assembly. Subsequently, computer codes and algorithms to determine the distribution of the force chain lengths, where a chain is taken to be a relatively straight section between branching points, were developed. Similar tools were used previously to analyze 2D photoelastic data and now have been expanded to analyze our most current 3D MRE force chain data. These investigations reveal that the distribution of the chain lengths in 3D decays exponentially, as was observed in 2D. The exponential decay of the length distribution is consistent with DEM simulation results of Peters, et al. We conclude that the decay length of this distribution is a meaningful quantitative measure that characterizes granular assemblies.
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