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| Generalized extended finite element method and its application in crack growth analysis |
| Received:December 29, 2010 Revised:June 25, 2011 |
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| DOI：10.7511/jslx20123023 |
| KeyWord:generalized extended finite element method stress intensity factors crack propagation numerical simulation fracture mechanic |
| Author | Institution |
| 章青 |
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 ;河海大学 工程力学研究所, 南京 |
| 刘宽 |
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 ;河海大学 工程力学研究所, 南京 |
| 夏晓舟 |
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 ;河海大学 工程力学研究所, 南京 ;广东工业大学 土木与交通学院, 广州 |
| 杨静 |
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 ;河海大学 工程力学研究所, 南京 |
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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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