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基于扩展有限元法的Ⅰ-Ⅱ复合型裂纹扩展研究
引用本文:刘金祥,张华阳,李军.基于扩展有限元法的Ⅰ-Ⅱ复合型裂纹扩展研究[J].北京理工大学学报,2015,35(9):881-885.
作者姓名:刘金祥  张华阳  李军
作者单位:北京理工大学机械与车辆学院,北京,100081;北京理工大学机械与车辆学院,北京,100081;北京理工大学机械与车辆学院,北京,100081
基金项目:国家自然科学基金资助项目(51005020)
摘    要:基于扩展有限元法(XFEM)研究了Ⅰ-Ⅱ复合型裂纹扩展问题. 对于裂纹面间的力学行为,用内聚力模型(CZM)进行了描述. 推导了引入内聚力模型后扩展有限元法的单元刚度矩阵,研究了加载方向对紧凑拉剪试件复合型裂纹扩展的影响. 研究结果表明:加载方向对裂纹起裂角影响较大,试件的最大承载力随着加载角度的增大近似线性增加;同时,在不同加载角度下数值模拟得到的裂纹起裂角和力-开口位移曲线与实验结果相吻合. 

关 键 词:紧凑拉剪试件  复合型裂纹  裂纹扩展  扩展有限元法  内聚力模型
收稿时间:2014/2/28 0:00:00

Study on Ⅰ-Ⅱ Mixed Mode Crack Growth Using Extended Finite Element Method
LIU Jin-xiang,ZHANG Hua-yang and LI Jun.Study on Ⅰ-Ⅱ Mixed Mode Crack Growth Using Extended Finite Element Method[J].Journal of Beijing Institute of Technology(Natural Science Edition),2015,35(9):881-885.
Authors:LIU Jin-xiang  ZHANG Hua-yang and LI Jun
Affiliation:School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China
Abstract:The Ⅰ-Ⅱ mixed mode crack growth was investigated using the extended finite element method (XFEM). The cohesive zone model (CZM) was introduced to describe the mechanical behavior between the crack surfaces. The element matrix of XFEM coupled with CZM was deduced and the influence of loading directions on the mixed mode crack growth in compact-tension-shear specimen was studied. It is shown that the loading angles have a great influence on the crack initiation angles and the maximum stress of compact-tension-shear specimens increases almost linearly with the increasing loading angles. The crack initiation angles in numerical simulation, as well as the load-opening displacement curves during crack growth, agree with those of experiments under different loading directions, which illustrates that XFEM coupled with CZM is an effective method to simulate mixed mode crack growth. 
Keywords:compact-tension-shear specimen  mixed mode crack  crack growth  extended finite element method  cohesive zone model
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