| 局部正交无网格伽辽金法的研究及其在含多裂纹多孔结构中的应用 |
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| 引用本文： | 孟广伟,周立明,李锋,彭惠芬,沙丽荣. 局部正交无网格伽辽金法的研究及其在含多裂纹多孔结构中的应用[J]. 计算力学学报, 2010, 27(6): 989-994 |
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| 作者姓名： | 孟广伟 周立明 李锋 彭惠芬 沙丽荣 |
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| 作者单位： | 1. 吉林大学,汽车动态模拟国家重点实验室,长春,130022;吉林大学,机械科学与工程学院,长春,130022
2. 吉林大学,机械科学与工程学院,长春,130022 |
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| 基金项目： | 吉林大学"985工程"资助项目、吉林省科技厅基金(20090540);教育部博士点基金(20060183063)资助项目. |
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| 摘 要： | 通过对无网格法中正交基函数的研究,提出局部正交无网格伽辽金法,局部正交基函数保持原正交基函数的性质,但其导数具有了通式,简洁明了,易于编程实现,计算效率高,并将其应用到求解含多裂纹多孔均匀拉伸板的应力强度因子中,计算结果与用正交无网格伽辽金法和有限元法得到的结果进行比较,证明了局部正交无网格伽辽金法的可行性和正确性。
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| 关 键 词： | 局部正交无网格伽辽金法 移动最小二乘 局部正交基函数 应力强度因子 |
| 收稿时间： | 2008-11-20 |
| 修稿时间： | 2009-08-24 |
Research on local orthogonal element-free Galerkin method and application in multi-crack structure |
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| MENG Guang-wei,ZHOU Li-ming,LI Feng,PENG Hui-fen and SHA Li-rong. Research on local orthogonal element-free Galerkin method and application in multi-crack structure[J]. Chinese Journal of Computational Mechanics, 2010, 27(6): 989-994 |
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| Authors: | MENG Guang-wei ZHOU Li-ming LI Feng PENG Hui-fen SHA Li-rong |
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| Affiliation: | State Key Laboratory of Automobile Dynamic Simulation, Jilin University, Changchun 130022, China;College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China |
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| Abstract: | A local orthogonal element-free Galerkin method was proposed in this paper, which based on the research of the orthogonal basis function in the element-free method. The local orthogonal basis function has the same attributes as the primitive orthogonal basis function, but its derivatives have much simpler expressions, it is also convenient to program and has a higher computational efficiency. And it was used to solve the stress intensity factor of a multiple pin holes and cracks plate under uniform tension, the computing results was compared with those obtained by orthogonal element-free Galerkin method and Finite Element Method, which illustrated the correctness and feasibility of the local orthogonal element-free Galerkin method. |
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| Keywords: | local orthogonal element-free Galerkin method moving least-squares local orthogonal basis function stress intensity factor |
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