A geometric potential-based contact detection algorithm for egg-shaped particles in discrete element modeling
A geometric potential-based contact detection algorithm for egg-shaped particles in discrete element modeling
复制标题
离散元建模中基于几何势的蛋形颗粒接触检测算法
DOI：
10.1016/j.powtec.2017.12.053
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发表时间：
2018-03
影响因子：
5.2
通讯作者：
Ma Gang
中科院分区：
文献类型：
--
作者：
Zhou Wei;Huang Yong;Ng Tang-Tat;Ma Gang
本文提出了离散元建模中蛋形粒子接触检测的算法，并从宏观和微观两个层次研究了蛋形粒子集合体的行为。由椭圆方程扩展的三次函数（二次函数）被用来描述颗粒形状。质心偏离三次函数的原点。因此，可以使用这些蛋形颗粒系统地研究颗粒不对称性的影响。基于几何势法对这些蛋形粒子进行了接触检测。最后用改进的牛顿法求解优化问题。安装了预检查步骤以提高性能。几个预期的数字上的困难被规避了。虽然颗粒的不对称性可以通过多椭圆（由两个不同的半椭圆形成）来检查，但发现新开发的蛋形颗粒的接触检测比两个多椭圆的接触检测更快。将接触检测应用到ELLIPSE 2程序中，产生了新的EGG 2程序。颗粒不对称性的影响通过蛋形颗粒集合体的堆积特性和力学行为表现出来。结果表明，这些新粒子为在更宽的范围内研究粒子形状提供了可能，这是二次函数粒子所不能实现的。
This paper presents the development of an algorithm for the contact detection of egg-shaped particles in discrete element modeling and the study of the behaviors of assemblies of egg-shaped particles at macroscopic and microscopic levels. A cubic function extended from the elliptic equation (quadratic function) was used to describe the particle shape. The mass center is deviated from the origin of the cubic function. Therefore, the effect of particle asymmetry can be investigated systematically using these egg-shaped particles. Contact detection was developed based on the geometric potential method for these egg-shaped particles. The resulted optimization problem was solved by the modified Newton's method. A pre-check step was installed to improve the performance. Several anticipated numerical difficulties were circumvented. Although particle asymmetry can be examined by poly-ellipses (formed by two different semi-ellipses), the contact detection of the newly developed egg-shaped particles was found to be faster than that of two poly-ellipses. The contact detection was implemented into the program ELLIPSE2 resulted in a new program EGG2. The effect of particle asymmetry was shown through the packing properties and mechanical behaviors of assemblies of egg-shaped particles. The result demonstrated that these new particles offer the possibility to study particle shape in a wider range which cannot be accomplished by the particles of quadratic function.
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