Florent Gimbert, David Amitrano, Jérôme Weiss, Gaël Combe
We investigate the evolution of multi-scale mechanical properties towards the macroscopic mechanical instability in frictional granular media under compressive loading. Spatial correlations of shear stress redistribution following nucleating contact sliding events and shear strain localization are investigated. We report growing correlation lengths associated to both shear stress and shear strain fields that diverge simultaneously as approaching the transition to a dense flow regime. This shows that the transition from quasi static to dense flow regime can be interpreted as a critical phase transition. Our analysis does not show any characteristic shear band thickness potentially formed at the onset of instability.
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http://arxiv.org/abs/1208.1930
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