| 广义扩展有限元法及其在裂纹扩展分析中的应用 |
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| 引用本文： | 章青,刘宽,夏晓舟,杨静.广义扩展有限元法及其在裂纹扩展分析中的应用[J].计算力学学报,2012,29(3):427-432. |
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| 作者姓名： | 章青 刘宽 夏晓舟 杨静 |
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| 作者单位： | 1. 河海大学水文水资源与水利工程科学国家重点实验室,南京210098 河海大学工程力学研究所,南京210098
2. 河海大学水文水资源与水利工程科学国家重点实验室,南京210098 广东工业大学土木与交通学院,广州510006 |
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| 基金项目： | 国家自然科学基金(10972072,11132003,51179064);国家科技支撑计划课题(2008BAB29B03);河海大学水文水资源与水利工程科学国家重点实验室专项基金(2009585912)资助项目. |
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| 摘 要： | 结合广义有限元法(GFEM)和扩展有限元法(XFEM)的特点,提出了一种新的数值方法——广义扩展有限元法(GXFEM)。阐述了广义扩展有限元法的基本原理,对相关公式进行推导,探讨数值实施中需注意的重要问题,给出利用广义扩展有限元法进行断裂分析时应力强度因子的计算方法,编写了广义扩展有限元法程序。通过算例进行了应力强度因子的计算,模拟了结构裂纹的扩展过程。算例结果表明,利用广义扩展有限元法计算裂纹扩展问题,不需要进行过密的网格划分,且网格在裂纹扩展后无需重新剖分,具有相当高的计算精度。
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| 关 键 词： | 广义扩展有限元法 应力强度因子 裂纹扩展 数值模拟 断裂力学 |
| 收稿时间： | 2010/12/29 0:00:00 |
| 修稿时间： | 2011/6/25 0:00:00 |
Generalized extended finite element method and its application in crack growth analysis |
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| ZHANG Qing,LIU Kuan,XIA Xiao-zhou and YANG Jing.Generalized extended finite element method and its application in crack growth analysis[J].Chinese Journal of Computational Mechanics,2012,29(3):427-432. |
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| Authors: | ZHANG Qing LIU Kuan XIA Xiao-zhou and YANG Jing |
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| Institution: | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;Department of Engineering Mechanics, Hohai University, Nanjing 210098, China,State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;Department of Engineering Mechanics, Hohai University, Nanjing 210098, China,State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;School of Civil and Transportation Engineering, Guangdong University of Technology, Guangzhou 510006, China and State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;Department of Engineering Mechanics, Hohai University, Nanjing 210098, China |
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| Abstract: | A new numerical method—generalized extended finite element method(GXFEM) is proposed in this paper by combining the generalized finite element method(GFEM) and the extended finite element method(XFEM).The basic principles of GXFEM are presented in detail and relevant formula is derived.Some important problems in numerical realization are discussed.Then,a method of calculating stress intensity factors(SIF) in the analysis of fracture problems is given by using GXFEM.The GXFEM program to analyze fracture process is compiled.The numerical examples are applied to calculate the SIF and to simulate the crack propagation.The results show that it is not necessary to set frequent grids,or to re-mesh when cracks propagate.In addition,the results are provided with very high accuracy. |
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| Keywords: | generalized extended finite element method stress intensity factors crack propagation numerical simulation fracture mechanic |
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