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论文:2015,Vol:33,Issue(2):197-203 |
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引用本文： |
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束一秀, 李亚智, 姜薇, 贾雨轩. 基于扩展有限元的多裂纹扩展分析[J]. 西北工业大学学报 |
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Shu Yixiu, Li Yazhi, Jiang Wei, Jia Yuxuan. Analyzing Multiple Crack Propagation Using Extended Finite Element Method (X-FEM)[J]. Northwestern polytechnical university |
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| 基于扩展有限元的多裂纹扩展分析 |
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| 束一秀, 李亚智, 姜薇, 贾雨轩 |
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| 西北工业大学航空学院, 陕西西安 710072 |
| 摘要: |
| 研究基于扩展有限元的多裂纹扩展分析方法以及ABAQUS环境下的程序实现。在位移函数中增加扩充项以描述裂纹周围的不连续位移场。初始裂纹以点集或方程的形式给出,并使用水平集函数将多裂纹信息离散到单元节点上,水平集函数还用来追踪裂纹扩展路径。使用局部水平集更新方法减小了计算规模,改进了裂尖单元的判断准则,借助商业软件Tecplot软件实现了裂纹扩展的动态显示功能。使用交互积分法计算混合模式下的应力强度因子,用最大周向拉应力准则判断裂纹扩展方向。探讨了网格密度和积分域尺寸对方法的影响,数值算例表明扩展有限元方法能够模拟任意形状的裂纹,并且能够反映多裂纹扩展的规律。 |
| 关键词:
ABAQUS
裂尖
疲劳裂纹扩展
有限元
流程图
矩阵代数
刚度矩阵
应力强度因子
交互积分
水平集法
扩展有限元法
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| Analyzing Multiple Crack Propagation Using Extended Finite Element Method (X-FEM) |
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| Shu Yixiu, Li Yazhi, Jiang Wei, Jia Yuxuan |
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| College of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| A numerical method and its implementation in ABAQUS using X-FEM to analyze multiple crack propagation was studied. The displacement discontinuity was approximated by appending enriched items to standard field. We give the initial cracks in the form of point-set or curve functions and dispersed them to the element nodes using Level Set Method (LSM). LSM was also used to track crack propagation paths. The local level set update technique was used to reduce the computing scale and the Judgmental Approach has been improved. The display of the process of crack propagation was realized using the commercial software Tecplot. Interaction integral technique was used to calculate mixed mode stress intensity factors. The maximal circumferential stress criterion was used to calculate the kinking angles of the propagating cracks. Influence of mesh and integral zone on simulation results were taken into consideration. Numerical examples were presented to demonstrate the benefits of the proposed implementation. |
| Key words:
ABAQUS
crack tips
fatigue crack propagation
finite element method
flowcharting
matrix algebra
stiffness matrix
stress intensity factors
interaction integral
level set method
X-FEM (Extended Finite Element Method)
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| 收稿日期: 2014-09-28
修回日期:
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| DOI: |
| 通讯作者:
Email： |
| 作者简介: 束一秀(1988-),西北工业大学博士研究生,主要从事金属疲劳断裂数值算法研究。
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参考文献: |
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