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Analysis of local behaviour in granular materials

机译：颗粒材料中的局部行为分析

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摘要

A local scale, called the meso-scale, has recently been introduced to the multi-scale approach for 2D granular materials. This local scale is defined at the level of meso-domains enclosed by particles in contact. Stress and strain have been defined at this local scale, and their relation with the local structure has been studied. The purpose of this paper is to analyse the behaviour of granular materials at the meso-scale, i.e. the stress-strain-structure relationship at this scale. Analyses are performed on a 2D numerical granular sample subjected to a biaxial compression test and simulated with the Discrete Element Method (DEM). The sample is quite dense and it is loaded at a relatively low strain rate so that the state of the sample can be considered as being quasi-static. The size of sub-domains in the sample varies largely from 3 to 12 particles. It is shown that the evolution of the internal state of the sample corresponds, at the meso-scale, to a clear evolution of the quantity of meso-domains oriented in different directions. In addition, the behaviour of meso-domains is highly governed by their orientation rather than their density, especially for the strongly elongated meso-domains: the meso-domains oriented in the compression (resp. extension) direction behave like a dense (resp. loose) granular material.
机译：最近将局部尺度（称为中尺度）引入了二维颗粒材料的多尺度方法。该局部尺度是在接触的颗粒所包围的内观域的水平上定义的。已经在这个局部尺度上定义了应力和应变，并且已经研究了它们与局部结构的关系。本文的目的是分析细观尺度下粒状材料的行为，即该尺度下的应力-应变-结构关系。对经过双轴压缩测试并使用离散元素方法（DEM）进行模拟的2D数值颗粒样品进行分析。样品非常致密，并且以相对较低的应变速率加载，因此可以将样品的状态视为准静态。样本中子域的大小在3到12个粒子之间变化很大。结果表明，样品的内部状态的演变在中观尺度上对应于定向在不同方向上的中观域数量的明显演变。此外，介观域的行为在很大程度上取决于其方向，而不是其密度，尤其是对于强烈伸长的介观域：沿压缩（扩展）方向定向的介观域的行为类似于密集（介意）。松散的）颗粒状物质。

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