离散元法研究的评述

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(molecular dynamics, MD)方法,三维离散元(discrete meso-element dynamic method, 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.

A REVIEW ON THE DISCRETE ELEMENT METHOD

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.