Nonmonotonic Constitutive Curves and Shear Banding in Dry and Wet Granular Flows

Title: Nonmonotonic Constitutive Curves and Shear Banding in Dry and Wet Granular Flows

Abstract: Dense granular packings, both dry and suspended in liquid, are among the most abundant materials on Earth. They are relevant to manifold geophysical phenomena, e.g., landslides and debris flows [1,2], and to industrial processes such as paste extrusion [3,4]. Understanding their deformation and flow properties is thus of major practical importance. It is also of fundamental interest in statistical physics, fluid mechanics, and rheology [5–8].

For any complex fluid, a key rheological fingerprint is the constitutive relation of shear stress as a function of shear rate in stationary homogeneous shear. 

We use particle simulations to map comprehensively the shear rheology of dry and wet granular matter comprising particles of finite stiffness, in both fixed pressure and fixed volume protocols. At fixed pressure we find nonmonotonic constitutive curves that are shear thinning, whereas at fixed volume we find nonmonotonic constitutive curves that are shear thickening. We show that the presence of one nonmonotonicity does not imply the other. Instead, there exists a signature in the volume fraction measured under fixed pressure that, when present, ensures nonmonotonic constitutive curves at fixed volume. In the context of dry granular flow we show that gradient and vorticity bands arise under fixed pressure and volume, respectively, as implied by the constitutive curves. For wet systems our results are consistent with a recent experimental observation of shear thinning at fixed pressure. We furthermore predict discontinuous shear thickening in the absence of critical load friction.

See references in https://doi.org/10.1103/PhysRevLett.134.038201

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