Abstract

We perform numerical simulations of a two-dimensional frictional granular system under oscillatory shear confined by constant pressure. We found that the system undergoes dilatancy as the strain increases. We confirmed that compaction also takes place at an intermediate strain amplitude for a small mutual friction coefficient between particles. We also found that compaction depends on the confinement pressure while dilatancy little depends on the pressure.

Highlights

  • Granular materials consist of a collection of distinct macroscopic particles such as sands and glass beads

  • Various researchers studied shear jammed state and discontinuous shear thickening (DST) in systems taking into account the mutual friction [6,7,8,9,10,11,12,13]

  • This paper, which is complementary to the previous paper [28], focuses on appearances of dilatancy and compaction of frictional particles under oscillatory shear

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Summary

Introduction

Granular materials consist of a collection of distinct macroscopic particles such as sands and glass beads. Due to the roughness of the particles, mutual friction between particles is unavoidable in granular systems. We sometimes ignore the mutual friction as an idealistic model Various researchers studied shear jammed state and DST in systems taking into account the mutual friction [6,7,8,9,10,11,12,13]. It is well known that dilatancy which is the volume expansion of a collection of particles takes place in granular systems [14,15,16,17], when shear is applied to them. This paper, which is complementary to the previous paper [28], focuses on appearances of dilatancy and compaction of frictional particles under oscillatory shear.

Set up of our simulation
Results of our simulation
Concluding remarks
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