用广义扩展有限元计算界面裂纹应力强度因子

苏毅; 王生楠; 鲁龙坤

doi:10.13700/j.bh.1001-5965.2015.0376

用广义扩展有限元计算界面裂纹应力强度因子

doi: 10.13700/j.bh.1001-5965.2015.0376

西北工业大学航空学院, 西安 710072

基金项目: 航空科学基金(2010ZF56016)

详细信息

作者简介:
苏毅女,博士研究生。主要研究方向:扩展有限元法、飞机结构疲劳断裂可靠性及损伤容限。E-mail:suxiaoyi12@126.com;王生楠男,博士,教授,博士生导师。主要研究方向:飞机结构疲劳断裂可靠性及损伤容限、固体力学中新的计算策略和数值方法、计算机应用软件开发研制、飞机适航技术。E-mail:wangshna@nwpu.edu.cn

通讯作者:
王生楠,E-mail:wangshna@nwpu.edu.cn

中图分类号: O346.1
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出版历程
- 收稿日期: 2015-06-09
- 网络出版日期: 2016-06-20

SIFs of interfacial crack using generalized extended finite element method

College of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 广义扩展有限元法(GXFEM)是一种结合广义有限元法和扩展有限元法特点的新的数值模拟方法。给出了分析双材料界面裂纹应力强度因子(SIF)的广义扩展有限元法的基本原理。提出了一种新的双材料界面裂纹尖端富集函数,将裂纹尖端富集函数由12项缩减为6项。双材料界面不连续,在常规有限元法的位移模式中加入基于水平集的富集函数,同时将裂纹单元结点和裂纹尖端单元结点自由度广义化,提高了计算精度。通过与文献结果的比较,表明了提出方法的精确度和可靠度。
- 广义扩展有限元法(GXFEM) /
- 界面裂纹 /
- 裂纹尖端富集函数 /
- 水平集 /
- 应力强度因子(SIF)
Abstract: Generalized extended finite element method (GXFEM) is a new numerical simulation method which combines both the generalized finite element and the extended finite element. The principle of the generalized extended finite element method for analyzing the stress intensity factor (SIF) of bi-material interfacial cracks is proposed. A new enriched function for bi-material interfacial crack tip is proposed, and the twelve crack tip enriched functions are reduced to the six ones. Because of the discontinuity of bi-material interface, enrichment functions based on level set are added in the displacement mode of the conventional finite element method. And the node freedom of the crack element and crack tip element are also generalized. Besides, the calculation precision is improved. A comparison of literature method and GXFEM calculations of numerical examples shows the the accuracy and reliability of the proposed method.
- generalized extended finite element method (GXFEM) /
- interfacial crack /
- crack tip enriched function /
- level set /
- stress intensity factor (SIF)

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参考文献(15)

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