Induced force chain anisotropy of cohesionless granular materials during biaxial compression

Granular Matter - Tập 21 - Trang 1-16 - 2019
Longlong Fu1,2, Shunhua Zhou1,2, Peijun Guo3, Shun Wang4, Zhe Luo1,2
1Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Tongji University, Shanghai, China
2Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai, China
3Department of Civil Engineering, McMaster University, Hamilton, Canada
4Institute of Geotechnical Engineering, University of Natural Resources and Life Sciences, Vienna, Austria

Tóm tắt

This paper investigates the induced anisotropy and multi-scale shear characteristics of granular materials by quantifying force chain distribution in two-dimensional specimens of rigid particles under quasi-static loading. A new criterion is proposed and implemented into the existing algorithm which can effectively solve the identification instability of force chains at branching and merging points. Force chain is then classified into three categories according to the variation of force chain quantity and average stress with segment length: stable segments, meta-stable segments and unstable force chain segments. The stable force chain segments dominate the load-bearing behavior of the granular materials. The directional distribution of force chain segments is more anisotropic and more sensitive to the applied stress than contact normal vectors, which show obvious local peaks in both vertical and horizontal directions at high deviatoric stress. Therefore, the probability density of directional distribution of force chains needs to be described by the first two deviatoric components of Fourier expansion with deviators A1 and A2, which are indicators reflecting the intensity of the induced-anisotropy of the granular materials. As the absolute values of A1 and A2 increase, the induced anisotropy is more significant. The final shear failure types are determined by the quantities of force chains orienting in two potential shear failure directions: if there is an obvious difference between the quantities of the two directions, single shear band occurs within the direction with less force chains; otherwise, conjugated double shear bands occur and lie in the two potential shear failure directions.

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Granular Matter

Tập 21

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