吕树进;吕淑然;刘红岩;
LV Shu-jin1,LV Shu-ran2,LIU Hong-yan3 (1.The Mathematic and Computer Department of Baoding University,Baoding 071000,Hebei,China;2.School of Safety and Environment Engineering,Capital University of Economics and Business,Beijing 100026,China;3.College of Engineering & Technology,China University of Geoseiences(Beijing),Beijing 100083,China)

• 1:保定学院数学与计算机系
• 2:首都经济贸易大学安全与环境学院
• 3:中国地质大学(北京)工程技术学院

摘要(Abstract)：

流形元是新出现的一种被较为广泛地应用于材料破坏模拟的数值分析方法。为了验证该方法在材料破坏模拟中的有效性,分别利用流形元与有限元两种不同的数值方法对岩石冲击破坏过程进行了模拟分析。模拟结果表明,流形元法对材料破坏的模拟结果更符合实际情况,这主要是由于该方法采用了两种不同的覆盖系统——数学覆盖和物理覆盖,并引入能够客观反映材料裂纹的产生与扩展准则,以及相应的块体运动理论。流形元的出现有望对材料破坏模拟开创出一条新的途径。
Manifold element method is a new kind of numerical analysis method,which is rather widely used in simulation analysis of material failure.In order to verify its validity in simulation of material failure,such two numerical methods as manifold element method and finite element method were respectively adopted to simulate rock impact failure.The simulation results showed that manifold element method was more in agreement with actual conditions.The main reason was that manifold element method adopted such two types of cover systems as mathematical cover and physical cover,and introduced the occurrence and propagation criterions of cracks,and corresponding theory of block movement.The appearance of manifold element method was hopeful in inaugurating a new path to the simulation of material failure.

关键词(KeyWords)： 岩石冲击破坏;数值模拟;流形元;有限元;对比分析
Rock impact failure;Numerical simulation;Manifold element method;Finite element method;Comparison analysis

Abstract:

Keywords:

基金项目(Foundation):

作者(Authors): 吕树进;吕淑然;刘红岩;
LV Shu-jin1,LV Shu-ran2,LIU Hong-yan3 (1.The Mathematic and Computer Department of Baoding University,Baoding 071000,Hebei,China;2.School of Safety and Environment Engineering,Capital University of Economics and Business,Beijing 100026,China;3.College of Engineering & Technology,China University of Geoseiences(Beijing),Beijing 100083,China)

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