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

机译：填充特性对内聚离散元法模拟弹性和脆性断裂的影响

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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：本文通过内聚离散元方法研究了填充特性对弹性和脆性断裂模拟的影响。在这种方法中，有效的弹性介质通过非常密集的颗粒系统进行建模，在该系统中，使用经典梁单元以基本接触的尺度引入内聚力。通常，必须建立微观-宏观关系以将射束参数连接到弹性系数，但是众所周知，这些关系对粒子的排列非常敏感。我们目前的目标是双重的。我们首先打算确定主要特性的影响，即基数，即与给定颗粒接触的平均颗粒数，以及颗粒的体积分数对弹性响应的影响。为此，使用特定的基于立方代表图案的过程对各种配置进行数值计算。在与光束厚度有关的某些条件下，输出与Voigt预测的分析趋势和最佳拟合假设显示出很好的一致性。在第二部分中，建立了典型的径向压缩和准静态压痕测试，以探索基数对均匀介质脆性断裂的影响。结果表明，在某些情况下，低配位导致不适当的裂纹萌生和扩展。

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