粗糙颗粒的随机离散元模拟——随机法向接触定律（英文）
发布时间：2018-11-28 12:05
【摘要】：真实颗粒的力学性质会受到其随机粗糙表面的影响,然而在传统离散元模拟中通常假设颗粒具有光滑表面,因此有必要在定量考虑颗粒表面粗糙度的基础上改进离散元的接触模型。本文基于经典GreenwoodWilliamson(GW)模型通过理论分析和数值模拟提出了一种可以考虑颗粒表面粗糙度的法向接触定律;开发了基于Newton-Raphson迭代的数值计算方法,通过输入颗粒重叠量和一系列表面粗糙系数计算总接触力;讨论了改进计算方法效率和准确性的相关问题。相对于GW模型中接触关系的复杂积分表示,拟合得到新随机接触定律的表达式具有类似Hertz定律的简单结构,只包含一个表征颗粒表面粗糙度标准偏差的新增参数,σ,可以方便的引入当前离散元模拟程序中进行计算。
[Abstract]:The mechanical properties of real particles are affected by their random rough surfaces. However, in the traditional discrete element simulation, it is usually assumed that the particles have smooth surfaces. Therefore, it is necessary to improve the contact model of discrete element based on the quantitative consideration of particle surface roughness. Based on the classical GreenwoodWilliamson (GW) model, a normal contact law considering particle surface roughness is proposed by theoretical analysis and numerical simulation. A numerical calculation method based on Newton-Raphson iteration is developed to calculate the total contact force through the input of particle overlap and a series of surface roughness coefficients, and the related problems of improving the efficiency and accuracy of the calculation method are discussed. Compared with the complex integral representation of the contact relation in the GW model, the expression obtained by fitting the new random contact law has a simple structure similar to that of the Hertz's law, and contains only one additional parameter representing the standard deviation of particle surface roughness, 蟽, Can be easily introduced into the current discrete element simulation program for calculation.
【作者单位】： 斯旺西大学辛克维奇计算工程中心;武汉大学水利水电学院;
【分类号】：O347.7
本文编号：2362778
[Abstract]:The mechanical properties of real particles are affected by their random rough surfaces. However, in the traditional discrete element simulation, it is usually assumed that the particles have smooth surfaces. Therefore, it is necessary to improve the contact model of discrete element based on the quantitative consideration of particle surface roughness. Based on the classical GreenwoodWilliamson (GW) model, a normal contact law considering particle surface roughness is proposed by theoretical analysis and numerical simulation. A numerical calculation method based on Newton-Raphson iteration is developed to calculate the total contact force through the input of particle overlap and a series of surface roughness coefficients, and the related problems of improving the efficiency and accuracy of the calculation method are discussed. Compared with the complex integral representation of the contact relation in the GW model, the expression obtained by fitting the new random contact law has a simple structure similar to that of the Hertz's law, and contains only one additional parameter representing the standard deviation of particle surface roughness, 蟽, Can be easily introduced into the current discrete element simulation program for calculation.
【作者单位】： 斯旺西大学辛克维奇计算工程中心;武汉大学水利水电学院;
【分类号】：O347.7
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