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On the stress-force-fabric equation in triaxial compressions: Some insights into the triaxial strength

机译：关于三轴压缩中的应力-纤维-织物方程：关于三轴强度的一些见解

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The strength of granular materials during triaxial compression is investigated via a grain scale analysis in this paper. A 3D Discrete Element Method (DEM) program provides the triaxial strength data and helps to validate the micromechanical analysis. Some standard methods in statistics are employed first to quantitatively examine the assumptions made when deriving the stress-force-fabric (SFF) equation. After careful validation, a more concise format for the SFF equation is proposed for triaxial compressions. With this SFF equation, the strength is found to be jointly contributed by the magnitudes of the contact force anisotropy and fabric anisotropy. The influence of the initial void ratio, confining pressure and loading direction on the development of contact force anisotropy and fabric anisotropy is examined and presented. With similar techniques, the "force" term in the SFF equation is further decoupled, and an equation is obtained such that it explicitly links the contact force term with the friction coefficient between grains, a tensor defined as a statistic of the normal contact forces and a tensor defined as a statistic of the mobilisation status of contacts. Based on this equation, another equation regarding the stress ratio of granular assembly is obtained, and it clearly indicates two sources that contribute to the phenomenological friction nature of granular assembly. These two sources are caused by the contact force at the grain scale. The first is the anisotropy of the average normal contact forces, and the second is the mobilisation of contacts. (C) 2016 Elsevier Ltd. All rights reserved.
机译：本文通过粒度分析研究了三轴压缩过程中粒状材料的强度。 3D离散元素方法（DEM）程序提供三轴强度数据，并有助于验证微机械分析。首先采用统计中的一些标准方法来定量检查推导应力织物（SFF）方程时所做的假设。经过仔细验证，为三轴压缩提出了更为简明的SFF方程格式。利用该SFF方程，发现强度是由接触力各向异性和织物各向异性的大小共同贡献的。研究并提出了初始空隙率，围压和载荷方向对接触力各向异性和织物各向异性发展的影响。使用类似的技术，可以进一步解耦SFF方程中的“力”项，并获得一个方程，以便将接触力项与晶粒之间的摩擦系数，张量定义为法向接触力的统计量和张量定义为联系人的动员状态的统计信息。基于此方程式，获得了另一个有关粒状装配体应力比的方程式，它清楚地表明了两个有助于粒状装配体现象摩擦性质的来源。这两个来源是由晶粒尺度上的接触力引起的。第一个是平均法向接触力的各向异性，第二个是接触的动员。 （C）2016 Elsevier Ltd.保留所有权利。

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