计算力学学报2016，Vol.33Issue(4)：629-636,8.DOI:10.7511/jslx201604032
粗糙颗粒的随机离散元模拟--随机法向接触定律
Stochastic discrete element modelling of rough particles-a random normal interaction law
冯云田 1赵婷婷 1加藤淳 1周伟2
作者信息
- 1. 斯旺西大学 辛克维奇计算工程中心，英国斯旺西 SA2 8PP
- 2. 武汉大学 水利水电学院，武汉 430072
- 折叠
摘要
Abstract
Particles are assumed smooth in classical discrete element modelling,but real particles have random rough surfaces which may influence their mechanical properties.It is necessary therefore to quantitatively improve the conventional discrete element model particles by taking their surface roughness into consideration.In this work,a new random normal contact law is established for particles that have random rough surfaces.The contact law,based on the classic Greenwood and Williamson (GW)model,is derived by both theoretical derivation and numerical simulation.A Newton-Raphson based numerical solution procedure is proposed to obtain the total contact force for a given overlap and a set of rough surface parameters.Some related computational issues key to improve computa-tional efficiency and accuracy are addressed.Instead of a complicated integral expression involved in the GW model, the curve fitted empirical formula of the random contact law retains the closed form and simplicity of the Hertz model,with only one added parameter,σ,the standard deviation of the surface roughness,and therefore can be readily incorporated into the current discrete element modelling framework.关键词
表面粗糙度/接触定律/离散元/随机离散元/数值模型Key words
surface roughness/contact law/discrete element method/stochastic DEM/numerical model分类
数理科学引用本文复制引用
冯云田,赵婷婷,加藤淳,周伟..粗糙颗粒的随机离散元模拟--随机法向接触定律[J].计算力学学报,2016,33(4):629-636,8.
