| 四面体有限单元覆盖的三维数值流形方法 |
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| 引用本文： | 姜清辉,周创兵. 四面体有限单元覆盖的三维数值流形方法[J]. 岩石力学与工程学报, 2005, 24(24): 4455-4460 |
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| 作者姓名： | 姜清辉 周创兵 |
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| 作者单位： | 1. 武汉大学,水资源与水电工程科学国家重点实验室,湖北,武汉,430072;中国科学院,岩土力学重点实验室,湖北,武汉,430071
2. 武汉大学,水资源与水电工程科学国家重点实验室,湖北,武汉,430072 |
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| 基金项目： | 国家自然科学基金资助项目（50309010）;武汉大学水资源与水电工程科学国家重点实验室开放基金（2003C004）;中国科学院岩土力学重点实验室开放基金资助项目（206152152） |
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| 摘 要： | 构造三维流形单元的覆盖函数和总体位移函数，基于最小势能原理建立四面体有限单元覆盖的三维数值流形方法分析格式，详细推导了三维流形单元的刚度矩阵、初应力矩阵、荷载矩阵、惯性矩阵、位移约束矩阵和接触矩阵，并给出了相应的公式和算例。
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| 关 键 词： | 数值计算 数值流形方法 三维 四面体单元 有限覆盖 |
| 文章编号： | 1000-6915（2005）24-4455-06 |
| 收稿时间： | 2004-08-02 |
| 修稿时间： | 2004-08-022005-01-06 |
THREE-DIMENSIONAL NUMERICAL MANIFOLD METHOD WITH TETRAHEDRON FINITE ELEMENT COVERS |
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| JIANG Qing-hui,ZHOU Chuang-bing. THREE-DIMENSIONAL NUMERICAL MANIFOLD METHOD WITH TETRAHEDRON FINITE ELEMENT COVERS[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(24): 4455-4460 |
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| Authors: | JIANG Qing-hui ZHOU Chuang-bing |
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| Affiliation: | 1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China; 2. Key Laboratory of Rock and Soil Mechanics, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | The weight functions and the displacement functions of tetrahedron finite element covers are defined.The global equilibrium equations of three-dimensional numerical manifold method(3D NMM) based on finite element covers are established by minimizing the total potential energy.The stiffness matrix,initial stress matrix,loading matrix,inertia matrix,displacement resistance matrix,contact matrix and friction force matrix are derived and added to the global equations.The numerical results from several typical test cases indicate the proposed method is valid. |
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| Keywords: | numerical calculation numerical manifold method three-dimensional tetrahedron elements finite covers |
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