Partition of the contact force network obtained in discrete element simulations of element tests

Xin Huang,Catherine O’Sullivan,Kevin J. Hanley,Chung-Yee Kwok

doi:10.1007/s40571-015-0095-y

Abstract

The transmission of stress within a granular material composed of rigid spheres is explored using the discrete element method. The contribution of contacts to both deviatoric stress and structural anisotropy is investigated. The influences of five factors are considered: inter-particle friction coefficient, loading regime, packing density, contact model, and boundary conditions. The data generated indicate that using the above-average normal contact force criterion to decompose the contact force network into two subsets with distinct contributions to stress transmission and structural anisotropy is not robust. The characteristic normal contact forces marking the transition from negative to positive contribution to the overall deviatoric stress and structural anisotropy are not unique values but vary during shearing. Once the critical state is attained (i.e., once shearing continues at a constant deviator stress and solid fraction), the characteristic normal contact force remains approximately constant and this critical state characteristic normal force is observed to decrease with increasing inter-particle friction. The characteristic normal contact force considering the contribution to deviatoric stress has a power-law relationship with the mean effective stress at the critical state.

Highlights

Forces in granular materials are transmitted through interparticle contacts
Peters et al [11] showed that only approximately half of the ‘strong’ contacts belong to the force transmission chains, and Huang et al [12] found that the contribution of the ‘strong’ contacts to frictional dissipation is considerable when inter-particle friction is high. These findings indicate that the use of the above-average criterion to partition contact force networks requires further examination
This study presents a systematic investigation on the force transmission characteristics within granular media

Summary

Introduction

Forces in granular materials are transmitted through interparticle contacts. Physical experiments and numerical studies have revealed that the contact force network is highly heterogeneous [1,2,3]. Peters et al [11] showed that only approximately half of the ‘strong’ contacts belong to the force transmission chains, and Huang et al [12] found that the contribution of the ‘strong’ contacts to frictional dissipation is considerable when inter-particle friction is high. These findings indicate that the use of the above-average criterion to partition contact force networks requires further examination. The applicability of the above-average criterion, which was initially proposed based on the results of 2D granular simulations, to more realistic 3D scenarios is explored

DEM simulations

Results and discussion

Conclusions