A novel non-overlapping approach to accurately represent 2D arbitrary particles for DEM modelling  

作　　者：张强 徐卫亚 刘沁雅 王伟 孟庆祥 

机构地区：[1]Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering,Hohai University,Nanjing 210098,China [2]Research Institute of Geotechnical Engineering,Hohai University,Nanjing 210098,China [3]Department of Physics,University of Toronto,Toronto,M5S 1A7,Canada [4]Department of Civil&Environmental Engineering,University of Waterloo,Waterloo,N2L 3G1,Canada

出　　处：《Journal of Central South University》2017年第1期190-202,共13页中南大学学报（英文版）

基　　金：Project(2011CB013504)supported by the National Basic Research Program(973 Program)of China;Project(2013BAB06B01)supported by Key Projects in the National Science&Technology Pillar Program during the Twelfth Five-year Plan Period,China;Projects(51309089,51479049)supported by National Natural Science Foundation of China;Project(487237)supported by Natural Sciences and Engineering Research Council of Canada

摘　　要：Mechanical behaviors of granular materials are complicated and greatly influenced by the particle shape.Current,some composite approaches have been proposed for realistic particle shape modelling within discrete element method(DEM),while they cannot give a good representation to the shape and mass properties of a real particle.In this work,a novel algorithm is developed to model an arbitrary particle using a cluster of non-overlapping disks.The algorithm mainly consists of two components:boundary filling and domain filling.In the boundary filling,some disks are placed along the boundary for a precise representation of the particle shape,and some more disks are placed in the domain to give an approximation to the mass properties of the particle in the domain filling.Besides,a simple method is proposed to correct the mass properties of a cluster after domain filling and reduce the number of the disks in a cluster for lower computational load.Moreover,it is another great merit of the algorithm that a cluster generated by the algorithm can be used to simulate the particle breakage because of no overlaps between the disks in a cluster.Finally,several examples are used to show the robust performance of the algorithm.A current FORTRAN version of the algorithm is available by contacting the author.Mechanical behaviors of granular materials are complicated and greatly influenced by the particle shape. Current, some composite approaches have been proposed for realistic particle shape modelling within discrete element method （DEM）, while they cannot give a good representation to the shape and mass properties of a real particle. In this work, a novel algorithm is developed to model an arbitrary particle using a cluster of non-overlapping disks. The algorithm mainly consists of two components： boundary filling and domain filling. In the boundary filling, some disks are placed along the boundary for a precise representation of the particle shape, and some more disks are placed in the domain to give an approximation to the mass properties of the particle in the domain filling. Besides, a simple method is proposed to correct the mass properties of a cluster after domain filling and reduce the number of the disks in a cluster for lower computational load. Moreover, it is another great merit of the algorithm that a cluster generated by the algorithm can be used to simulate the particle breakage because of no overlaps between the disks in a cluster. Finally, several examples are used to show the robust performance of the algorithm. A current FORTRAN version of the algorithm is available by contacting the author.

关 键 词：discrete element method （DEM） composite approaches arbitrary particles CLUSTERS non-overlapping disks 

分 类 号：TB30[一般工业技术—材料科学与工程]