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离散元法研究的评述
引用本文:刘凯欣,高凌天. 离散元法研究的评述[J]. 力学进展, 2003, 33(4): 483-490. DOI: 10.6052/1000-0992-2003-4-J2002-103
作者姓名:刘凯欣  高凌天
作者单位:北京大学力学与工程科学系
基金项目:国豪杰出青年科学基金(10025212),国家自然科学基金(59978005,10232040)资助项目~~
摘    要:介绍了离散元法的基本理论、计算方法及其应用的现状和最新进展.从离散元法的离散模型特点及便于甄别与其它数值计算方法的关系的角度给予离散元法一个比较宽松的定义.在此基础上阐明了离散元方法与刚体-弹簧模型(rigid body spring model, RBSM)方法,不连续变形分析(discontinuous deformation analysis, DDA)方法,分子动力学(moleculardynamics, MD)方法,三维离散元(discrete meso-element dynamicmethod, DM$^2$)方法及无网格方法(meshless method)等数值计算方法的关系, 并讨论了离散元法研究中亟待解决的问题和今后的发展方向. 

关 键 词:离散元法   数值计算方法   连续介质力学   非连续介质力学
修稿时间:2002-10-30

A REVIEW ON THE DISCRETE ELEMENT METHOD
LIU Kaixin GAO Lingtian. A REVIEW ON THE DISCRETE ELEMENT METHOD[J]. Advances in Mechanics, 2003, 33(4): 483-490. DOI: 10.6052/1000-0992-2003-4-J2002-103
Authors:LIU Kaixin GAO Lingtian
Affiliation:LIU Kaixin GAO Lingtian Department of Mechanics and Engineering Science,Peking University,Beijing 100871,China
Abstract:This paper summarizes the recent progress in theoretical bases, numerical algorithms and applications of the discrete element method (DEM). A more general definition for the DEM is made, by considering the key point of the model and its distinctions from the other numerical algorithms. The relationship between the DEM and the other algorithms, such as RBSM (Rigid Body Spring Model), DDA(Discontinuous Deformation Analysis), MD(Molecular Dynamics), DM2 (Discrete Meso-element Dynamic Method), MM(Meshless Method), is explained. The future research topics and development tendency of the DEM are discussed.
Keywords:discrete element method   numerical method   continuum mechanics   non-continuum mechanics
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