Abstract
Hysteresis is a major feature of the solid-liquid transition in granular materials. This property, by allowing metastable states, can potentially yield catastrophic phenomena such as earthquakes or aerial landslides. The origin of hysteresis in granular flows is still debated. However, most mechanisms put forward so far rely on the presence of inertia at the particle level. In this paper, we study the avalanche dynamics of non-Brownian suspensions in slowly rotating drums and reveal large hysteresis of the avalanche angle even in the absence of inertia. By using micro-silica particles whose interparticle friction coefficient can be turned off, we show that microscopic friction, conversely to inertia, is key to triggering hysteresis in granular suspensions. To understand this link between friction and hysteresis, we use the rotating drum as a rheometer to extract the suspension rheology close to the flow onset for both frictional and frictionless suspensions. This analysis shows that the flow rule for frictionless particles is monotonous and follows a power law of exponent $\alpha \!= \! 0.37 \pm 0.05$, in close agreement with the previous theoretical prediction, $\alpha\!=\! 0.35$. By contrast, the flow rule for frictional particles suggests a velocity-weakening behavior, thereby explaining the flow instability and the emergence of hysteresis. These findings show that hysteresis can also occur in particulate media without inertia, questioning the intimate nature of this phenomenon. By highlighting the role of microscopic friction, our results may be of interest in the geophysical context to understand the failure mechanism at the origin of undersea landslides.
Highlights
Particulate media like dry granular materials and suspensions are ubiquitous in geophysical and industrial flows [1]
By using microsilica particles whose interparticle friction coefficient can be turned off, we show that microscopic friction, to inertia, is key to triggering hysteresis in granular suspensions
Our work reveals the existence of hysteresis and of a velocity-weakening rheology in overdamped frictional suspensions, further unifying the flowing properties of dry granular flows and dense suspensions
Summary
Particulate media like dry granular materials and suspensions are ubiquitous in geophysical and industrial flows [1]. The flow starts at an angle above the stopping threshold, the avalanche quickly accelerates to a finite velocity, eventually causing catastrophic failure Such velocity-weakening dynamics is observed in many contexts from solid friction [19] to the rupture of granular gouges [20] and large landslides [21]. Catastrophic landslides are observed for immersed sediments [22], where they are recognized as a potential source of tsunamis [23,24] In such a context, it appears to be important to know whether the hysteresis observed for dry granular avalanches occurs when particles are immersed in a fluid and, through this question, to address whether here, too, the solid-to-liquid transition in dry granular flows and dense suspensions presents similarities. Our results show that inertia is not required to observe large hysteresis in granular suspensions but that interparticle friction is key, questioning the origin of hysteresis in particulate media
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