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基于XFEM研究含颗粒夹杂材料的疲劳裂纹行为

         

摘要

材料中的颗粒夹杂会改变附近的应力分布,对疲劳裂纹的扩展行为有显著的影响。在XFEM方法的基础上,借助一种考虑界面影响的交互积分方法以及ABAQUS的二次开发环境,模拟疲劳裂纹在非匀质材料中的扩展,研究夹杂颗粒对疲劳裂纹扩展的影响模式。裂纹和夹杂使用扩充函数结合水平集函数隐式模拟,使用最大周向拉应力准则判断裂纹扩展方向。通过模拟疲劳裂纹经过对称夹杂和非对称夹杂的情况,分别研究夹杂对裂纹扩展速率以及扩展路径的影响模式,探讨了夹杂的材料性质对结果的影响,考虑了裂纹在特定情况下可能刺入夹杂的情况。将部分数值结果与更新网格方法以及以往的扩展有限元模拟结果进行了对比,体现了该文方法的优点和模拟结果的合理性。%Fatigue crack propagation behaviour is remarkably affected by inclusions in homogenous material because of the stress redistribution.For the purpose of analyzing the influence pattern of inclusions on crack when a crack propagates in non⁃homo⁃geneous material, an interaction integral method combined with extended finite element method( XFEM) was presented and imple⁃mented in ABAQUS using the secondary development environment. Both crack and inclusion are implicitly simulated using enrich⁃ment functions and level set method within XFEM framework.The maximum hoop stress criterion was used for crack path prediction. The situation of a crack which propagates through an area containing symmetric or asymmetric inclusions was simulated to analyze the influence of inclusions and their material properties on crack propagation rate and crack propagation path.The situation of a crack penetrating into an inclusion in certain cases was simulated and analyzed.Some of the simulations results agree well with the availa⁃ble results of XFEM,and are validated by the FEM remeshing approach.

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