| 等参数平面裂纹问题的二级分形有限元分析 |
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| 引用本文： | 钟伟芳,范洁,梁以德.等参数平面裂纹问题的二级分形有限元分析[J].华中科技大学学报(自然科学版),2005,33(12):19-21. |
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| 作者姓名： | 钟伟芳 范洁 梁以德 |
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| 作者单位： | 1. 华中科技大学,土木工程与力学学院,湖北,武汉,430074
2. 香港城市大学,建筑与结构系,香港 |
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| 基金项目： | 航天科技创新基金资助项目. |
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| 摘 要： | 针对正交各向异性板的平面裂纹问题，应用二级分形有限元的办法研究了裂纹尖端应力强度因子的计算方法．与各向同性平面裂纹问题比拟，获得正交各向异性平面裂纹问题的一般解，并将它作为整体插值函数；利用二级分形有限元对平面裂纹板进行离散，使得求解的自由度极大地减少．结果表明，只需有限粗略的网格划分和简单的插值单元就可以有效地获得较精确的裂纹尖端应力强度因子．
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| 关 键 词： | 平面裂纹 正交各向异性板 分形有限元 应力强度因子 |
| 文章编号： | 1671-4512（2005）12-0019-03 |
| 收稿时间： | 2004-10-29 |
| 修稿时间： | 2004年10月29 |
Fractal two-level finite element analysis of plane crack problem with equal-parameter |
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| Zhong Weifang,Fan Jie,Liang Yide.Fractal two-level finite element analysis of plane crack problem with equal-parameter[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2005,33(12):19-21. |
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| Authors: | Zhong Weifang Fan Jie Liang Yide |
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| Abstract: | The stress intensity factor(SIF) of plane crack on orthotropic plate equal-parameter was evaluated by using a fractal two-level finite element method(F2LFEM).The general solution of an orthotropic crack problem was obtained by assimilating the problem with isotropic crack problem,and employed as the global interpolation function in F2LFEM.The plane crack plate was discredited by F2LFEM,reducing degrees of freedom to be determined greatly.The numerical exampled showed that the method was efficient and accurate in solving the stress intensity factor by using finite coarse mesh and simple interpolating element. |
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| Keywords: | plane crack orthotropic plate fractal finite element stress intensity factor |
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