| 流形元覆盖系统的有向图遍历生成算法研究 |
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| 引用本文： | 陈刚,刘佑荣. 流形元覆盖系统的有向图遍历生成算法研究[J]. 岩石力学与工程学报, 2003, 22(5): 711-716 |
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| 作者姓名： | 陈刚 刘佑荣 |
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| 作者单位： | 中国地质大学工程学院,武汉,430074 |
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| 摘 要： | 在裂隙切割块体生成算法的基础上，结合现有的有限元自适应网格生成技术，系统地探讨了一种基于有向图遍历理论的平面流形元覆盖系统的生成算法。该算法将有限元网格作为流形元覆盖系统的生成所需的数学网格，利用有向图的关联矩阵并结合块体搜索算法，形成最终的流形元覆盖系统。同时，该算法能有效地在现有的各种有限元单元的基础上，形成流形元法所需的流形单元。
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| 关 键 词： | 数值分析 流形元覆盖系统 有向图遍历 块体生成算法 数学覆盖 |
| 文章编号： | 1000-6915(2003)05-0711-06 |
| 修稿时间： | 2001-12-14 |
GENERATION OF COVER SYSTEM FOR NUMERICAL MANIFOLD IN TRAVEL THEORY OF THE ORIENTED GRAPH |
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| Chen Gang,Liu Yourong. GENERATION OF COVER SYSTEM FOR NUMERICAL MANIFOLD IN TRAVEL THEORY OF THE ORIENTED GRAPH[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(5): 711-716 |
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| Authors: | Chen Gang Liu Yourong |
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| Abstract: | A generation algorithm of cover system for numerical manifold method(NMM) is introduced. This algorithm is based on the travel theory of the oriented graph and the formation of the block system is incised by the joints and fractures. By this algorithm combined with the adaptive generation technology for finite element method(FEM) mesh, the mathematics mesh is built, and then in the travel theory of the oriented graph, a final cover system for NMM can be efficiently formed. This method also provides a way to obtain the available element library for the FEM in the NMM based on existing FEM elements. |
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| Keywords: | numerical analysis cover system travel of the oriented graph generation algorithm of blocks mathematics cover physical cover |
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