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| Accuracy study of crack tip field in extended finite element method |
| Received:May 22, 2007 |
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| DOI：10.7511/jslx20094017 |
| KeyWord:extended finite element method crack FE approximation stress intensity factors the rate of convergence |
| Author | Institution |
| 宋娜 |
南京航空航天大学 飞行器结构力学与控制教育部重点实验室,结构与强度研究所,南京 |
| 周储伟 |
南京航空航天大学 飞行器结构力学与控制教育部重点实验室,结构与强度研究所,南京 |
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| Abstract: |
| A brief description of extended finite element method was offered firstly. Then effects, such as element type (quadrangle or triangle element, linear of quadratic element), mesh refinement, radius of J-integral region, on the accuracy of crack tip stress field (stress intensity factor) were investigated. The study revealed that all these do not significantly affect the convergence rate and stability of stress intensity factors calculated by XFEM. This can lead conclusion that accurate local stress in front of crack tip can be obtained by XFEM with relatively coarse mesh compared with ordinary FEM. Finally, a method, in which a given domain size is enriched around the crack tip, was suggested in order to improve the accuracy of crack tip fields and convergence rate further more. |
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