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Effect of packing characteristics on the simulation of elasticity and brittle fracture by the Cohesive Discrete Element Method

机译：填充特性对粘性离散元件法模拟弹性和脆性骨折的影响

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The paper investigates the effect of packing characteristics on the simulation of elasticity and brittle fracture by the Cohesive Discrete Element Method. In such an approach, an effective elastic medium is modeled by a very dense granular system in which the cohesion is introduced at the scale of the elementary contact using a classical beam element. Typically, microscopic-macroscopic relations have to be set up to connect beam parameters to elastic coefficients but these are known to be very sensitive to the arrangement of particles. Our objectives in the present contribution are twofold. We first intend to determine the influence of main characteristics, namely the cardinal number, i.e. the average number of particles in contact with a given one, and the volume fraction of particles on the elastic response. For that purpose, numerical calculations are carried out on a large range of configurations using a specific process based on cubic representative patterns. Outputs exhibit a good agreement with analytical trends predicted by Voigt and best-fit hypotheses under some conditions related to the thickness of the beam. In a second part, typical diametral compression and quasi-static indentation tests are set up to explore the effect of the cardinal number on the brittle fracture of homogeneous media. Results show that a low coordination leads to unsuitable cracks initiation and propagation in some cases.
机译：本文研究了粘合性分立元素法对弹性和脆性骨折模拟填料特性的影响。在这种方法中，有效的弹性介质由非常致密的粒状系统进行建模，其中使用经典梁元件以基本触点的刻度引入内聚力。通常，必须设置微观 - 宏观关系以将光束参数连接到弹性系数，但是已知这些是对颗粒的布置非常敏感。我们在目前贡献的目标是双重。我们首先打算确定主要特征的影响，即基数，即与给定的颗粒接触的平均颗粒数，以及弹性响应上的颗粒的体积分数。为此目的，使用基于立方代表模式的特定过程在大量配置上进行数值计算。输出与在与光束厚度相关的某些条件下通过Voigt和最佳假设预测的分析趋势良好的协议。在第二部分中，建立典型的径向压缩和准静态压痕试验，以探讨基数数对均匀介质的脆性骨折的影响。结果表明，在某些情况下，低协调导致不合适的裂缝启动和繁殖。

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