基于扩展有限元法的Ⅰ-Ⅱ复合型裂纹扩展研究

Study on Ⅰ-Ⅱ Mixed Mode Crack Growth Using Extended Finite Element Method

  • 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.

     

    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.

     

/

返回文章
返回