Abstract
Understanding the rheology of dense granular matter is a long standing problem and is important both from the fundamental and the applied point of view. As the basic building blocks of granular materials are macroscopic particles, the nature of both the response to deformations and the dissipation is very different from that of molecular materials. In the absence of large gradients, the best approach formulates the constitutive equation as an effective friction: for sheared granular matter the ratio of the off-diagonal and the diagonal elements of the stress tensor depends only on dynamical parameters, in particular the inertial number. In this work we employ numerical simulations to extend this formalism to granular packings made of frictionless elongated particles. We measured how the shape of the particles affects the effective friction, volume fraction and first normal stress difference, and compared it to the spherical particle case. We had to introduce polydispersity in particle size in order to keep the systems of the more elongated particles disordered.
Highlights
Understanding the rheology of dense granular matter is a long standing problem and is important both from the fundamental and the applied point of view
Lz p (b) tations of the μ(I)-rheology, when some non-local effects come into play
Many works are interested in possible extensions of this rheology, when another effect is added, such as cohesion [21], particle softness [22] or activity [23]
Summary
Tations of the μ(I)-rheology, when some non-local effects come into play (see e.g. [20] and references therein). Many works are interested in possible extensions of this rheology, when another effect is added, such as cohesion [21], particle softness [22] or activity [23]. This framework has been extended to the case of granular suspensions [24, 25]. Stresses were analyzed as a function of particle shape for glued-spheres and true cylinders [38] In these systems, the shear induced alignment (average orientation of the grains) is not parallel to the streamlines but encloses a small angle with it. We numerically consider the case of elongated grains shaped as spherocylinders, and investigate how the μ(I)-rheology is modified with respect to the aspect ratio Q of the grains
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