摘要翻译：
我们用三维离散元模型研究了球体的脆性碎裂。用一个由许多颗粒组成的模型进行了大规模的计算机模拟，该模型由梁-桁架单元相互连接。我们着重于碎片化过程的详细发展，并研究了几种碎片化机制。对经向裂纹的演化进行了详细的研究。发现这些裂纹萌生于试样内部，呈准周期角分布。当这些裂纹穿透试样表面时形成的破片在大破片质量分布中有一个宽峰，可用双参数Weibull分布拟合。这种机制只能在3D模型或实验中观察到。结果证明与模型中的无序程度无关。我们的研究结果不仅再现了冲击破碎的形状、冲击能量依赖关系和质量分布等实验结果，而且还充分了解了冲击破碎的破坏条件和演化过程，从而大大提高了对冲击破碎过程的认识。
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英文标题：
《Fragmentation processes in impact of spheres》
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作者：
H. A. Carmona, F. K. Wittel, F. Kun and H. J. Herrmann
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We study the brittle fragmentation of spheres by using a three-dimensional Discrete Element Model. Large scale computer simulations are performed with a model that consists of agglomerates of many particles, interconnected by beam-truss elements. We focus on the detailed development of the fragmentation process and study several fragmentation mechanisms. The evolution of meridional cracks is studied in detail. These cracks are found to initiate in the inside of the specimen with quasi-periodic angular distribution. The fragments that are formed when these cracks penetrate the specimen surface give a broad peak in the fragment mass distribution for large fragments that can be fitted by a two-parameter Weibull distribution. This mechanism can only be observed in 3D models or experiments. The results prove to be independent of the degree of disorder in the model. Our results significantly improve the understanding of the fragmentation process for impact fracture since besides reproducing the experimental observations of fragment shapes, impact energy dependence and mass distribution, we also have full access to the failure conditions and evolution.
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PDF链接：
https://arxiv.org/pdf/711.2993