DEM simulation of polyhedral particle cracking using a combined Mohr–Coulomb–Weibull failure criterion
DEM simulation of polyhedral particle cracking using a combined Mohr–Coulomb–Weibull failure criterion
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DOI：
10.1007/s10035-017-0731-8
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发表时间：
2017-05
期刊：
影响因子：
2.4
通讯作者：
Anton Gladkyy;M. Kuna
中科院分区：
文献类型：
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作者：
Anton Gladkyy;M. Kuna
本文首先将经典的莫尔-库仑强度准则与概率威布尔概念相结合，提出了一种新的脆性颗粒系统破坏准则。该失效准则特别适用于压缩载荷下的颗粒系统，并考虑了材料强度的尺寸依赖性。其次，对凸多面体形状的锐边颗粒进行离散元法（DEM）求解。将Mohr-Coulomb-Weibull准则整合到运行的DEM程序中，以模拟颗粒系统的渐进开裂和粉碎。通过简单的单轴和三轴压缩加载状态验证了模型的可行性，并研究了相关材料参数对模型的影响。作为该方法的第一个应用实例，模拟了一个测量实验，其中粗石英岩颗粒在活塞模具压力机中被压缩。结果与实验观测的粒度分布具有较好的定性一致性。因此，所建议的方法的能力已被证明再现重要的特征，如尺寸效应和应力状态的影响。
In this work, at first a new failure criterion for breakage of brittle particle systems is proposed, which combines the classical Mohr–Coulomb strength criterion with the probabilistic Weibull concept. This failure criterion is especially applicable to particle systems under compression load and accounts for the size-dependence of the material’s strength. Second, the Discrete Element Method (DEM) is implemented for sharp edged particles of convex polyhedral shape. The Mohr–Coulomb–Weibull criterion is integrated into the running DEM procedure to simulate progressive particle cracking and comminution of particle systems. The feasibility of the model was tested with simple uniaxial and triaxial compressive loading states, and the influence of relevant material parameters was studied. As a first application example of the method, an oedometric experiment was simulated, whereby coarse quartzite particles are compressed in a piston-die press. The results show good qualitative agreement with the experimentally observed particle size distribution. Thus, the ability of the suggested approach has been proved to reproduce important features as the size effect and the influence of stress state.