Abstract
Granular materials and particulate matter are ubiquitous in our daily life and they display interesting bulk behaviors from static to dynamic, solid to fluid or gas like states, or even all these states together. To understand how the micro structure and inter-particle forces influence the macroscopic bulk behavior is still a great challenge today. This short paper presents stress controlled homogeneous simple shear results in a 3D cuboidal box using MercuryDPM software. An improved rheological model is proposed for macroscopic friction, volume fraction and coordination number as a function of inertial number and pressure. In addition, the results are compared with the locally averaged data from steady state shear bands in a split bottom ring shear cell and very good agreement is observed in low to intermediate inertia regime at various confining pressure but not for high inertia collisional granular flow.
Highlights
Granular media are envisaged as a collection of microscopic particles which interact through dissipative contact forces; their natural discontinuity poses many challenges for both academia and industry in understanding their bulk behavior [1]
Though it very well predicts the flow behavior in case of steady shear of rigid particles, it fails in cases of inhomogeneous shear and transient shear, where we need better constitutive models to describe dense granular flow [6]
A pressure density relation has been proposed in [13] in additive forms; the present paper proposes an extended local constitutive model in a multiplicative form and tests the validity of this model for both homogeneous and inhomogeneous steady state soft granular flow
Summary
Granular media are envisaged as a collection of microscopic particles which interact through dissipative contact forces; their natural discontinuity poses many challenges for both academia and industry in understanding their bulk behavior [1]. The recently proposed inertial number framework has been successful in describing the flow behavior in the dense flow liquid like regime when the particles undergo collisions and frictional interactions with other particles [4, 5]. Though it very well predicts the flow behavior in case of steady shear of rigid particles, it fails in cases of inhomogeneous shear and transient shear, where we need better constitutive models to describe dense granular flow [6]. A pressure density relation has been proposed in [13] in additive forms; the present paper proposes an extended local constitutive model in a multiplicative form and tests the validity of this model for both homogeneous and inhomogeneous steady state soft granular flow
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