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论文:2015,Vol:33,Issue(6):921-927 |
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引用本文： |
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苏毅, 王生楠, 高文. 广义扩展有限元及其在裂纹扩展中的应用[J]. 西北工业大学学报 |
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Su Yi, Wang Shengnan, Gao Wen. Generalized Extended Finite Element Method and Its Application in Crack Growth[J]. Northwestern polytechnical university |
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| 广义扩展有限元及其在裂纹扩展中的应用 |
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| 苏毅, 王生楠, 高文 |
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| 西北工业大学 航空学院, 陕西 西安 710072 |
| 摘要: |
| 广义扩展有限元是广义有限元和扩展有限元两者结合起来形成的一种新的数值方法。介绍了广义扩展有限元的基本原理并推导了相应的公式,提出了将Westergaard裂纹尖端奇异场的基函数作为结点位移插值函数,探讨了数值积分策略,给出了裂纹尖端应力强度因子的计算方法,编写广义扩展有限元程序。通过典型含裂纹平板的计算,表明广义扩展有限元计算应力强度因子精度更高,也不需要划分过密的网格。 |
| 关键词:
广义扩展有限元
广义有限元
扩展有限元
数值积分策略
应力强度因子
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| Generalized Extended Finite Element Method and Its Application in Crack Growth |
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| Su Yi, Wang Shengnan, Gao Wen |
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| College of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| The generalized extended finite element method is a new numerical method that combines both the generalized finite element and the extended finite element. This paper presents its basic principles and derives its formulas. It proposes that the base function of the Westergaard crack tip field should be used as the node displacement interpolation function and then discusses the numerical integration strategy. It uses the generalized extended finite element method to calculate the stress intensity factor of a crack tip and then develops the crack propagation analysis programming. Finally it gives a numerical example of the propagation of a structure with an edge crack, and the numerical results show that the stress intensity factor calculated with the generalized extended finite element has a higher precision and that there is no need to divide too dense meshes. |
| Key words:
crack tips
calculations
crack propagation
degrees of freedom (mechanics)
efficiency
errors
finite element method
integration
matrix algebra
stress intensity factors
stiffness matrix
vectors
generalized extended finite element method
generalized finite element
extended finite element
numerical integration strategy
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| 收稿日期: 2015-04-23
修回日期:
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| DOI: |
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Email： |
| 作者简介: 苏 毅(1983—),女,西北工业大学博士研究生,主要从事飞机结构疲劳断裂可靠性及损伤容限的研究。
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| 苏毅 在本刊中的所有文章 |
| 王生楠 在本刊中的所有文章 |
| 高文 在本刊中的所有文章 |
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