( 1(a)). ( 1(b)).. (a) (b) Cundall 1971 [2-3] [4] FORTAN [5]. Cundall Strack [6-7] BALL Drescher [8] BALL. Cundall [9] 1

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1 第 35 卷 第 1 期 力 学 与 实 践 离散元法及其耦合算法的研究综述 徐 爽 2) 朱浮声 2013 年 2 月 1) 张 俊 (东北大学资源与土木工程学院 沈阳 ) 徐爽 1978 年 12 月生 2001 年毕业于东北大学土木工程专业 2005 年获硕士学位, 东北大学结构工程专业博士研究生 师从于朱浮声教授 从事于非均匀脆性介质破 坏过程的数值模拟方面的研究. 摘要 介绍了离散单元法的基本理论及其研究现状 以及离散单元法与有限单元法 边界单元法 界面单 元法等数值计算方法耦合的研究现状和最新进展 并讨论了离散单元法今后的发展趋势及亟待解决的问题. 关键词 离散单元法 数值方法 耦合 中图分类号: O482 文献标识码: A DOI / A OVERVIEW OF THE DISCRETE ELEMENT METHOD AND ITS COUPLING ALGORITHMS1) XU Shuang2) ZHU Fusheng ZHANG Jun (School of Resources and Civil Engineering, Northeastern University, Shenyang , China) Abstract The basic theory and the current development of the discrete element method are reviewed in this paper, as well as those of the coupling algorithms of the discrete element method with the finite element method, the boundary element method, and the interface element method. The future development of the discrete element method is also discussed. Key words discrete element, numerical method, coupling 引 言 脆性无序介质具有各项异性 非均匀性 不连续 性等特点 因此 对于脆性无序介质 (如混凝土 岩 石 玻璃和陶瓷等) 的变形 微细观损伤乃至宏观破 坏全过程的研究 已成为各界十分关注的研究热点 之一. 目前 在对脆性无序介质的研究中 常用的数 值分析方法有有限差分法 有限单元法和边界单元 法等. 但是 这几种方法都是以连续介质为出发点 收到第 1 稿 收到修改稿. 1) 国家自然科学基金资助项目 ( ). 2) phd.xushuang@gmail.com 而且往往是基于小变形的假设 因此所得的结果与 实际相差甚远 为了解决这个问题 离散单元法就应 运而生了. 刘凯欣等 [1] 曾对离散单元法给出过明确定义 通过物理元的单元离散方式并构成具有明确物理意 义的节点关系建立有限离散模型的数值计算方法. 经过三十多年的发展 离散单元法在理论和应 用研究方面取得了长足的进步. 在理论方面 从刚性 元发展到可变形元 从单纯的离散元模拟发展到该

2 ( 1(a)). ( 1(b)).. (a) (b) Cundall 1971 [2-3] [4] FORTAN [5]. Cundall Strack [6-7] BALL Drescher [8] BALL. Cundall [9] Cundall UDEC (universal distinct element code) 1985 [10-11]. UDEC.. 3DEC (3-dimensinal distince element code) Cundall ITASCA 1986 [12]. UDEC. BALL TRUBAL [13] BALL.

3 [14-15] 3DEC [16-18].... [19-20] [21].. [22-30]. [31-33]. [34-35]. [36]. Liu [37-41],. Mohr--Coulomb. ( ). [42] Dowding [43-44] Pan Reed [45]. [46]..... ( 2)...

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