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采用滑动裂纹模型并结合现有张开斜裂纹的I型分支裂纹扩展特性的研究成果,研究了闭合斜裂纹的I型分支裂纹的渐近扩展特点,结果表明:1)闭合斜裂纹的I型分支裂纹路径的渐近线为平行于最大主应力的一条直线,并得出了渐近线方程;和张开斜裂纹的翼型裂纹不同,闭合斜裂纹的翼型裂纹路径的渐近线不一定过初始裂纹中心点,该渐近线位置与初始裂纹面的摩擦系数、初始裂纹长度及初始裂纹角有关;2)闭合斜裂纹的I型分支裂纹的扩展路径可以近似采用双曲线描述,并得出了描述I型分支裂纹扩展路径的方程。采用ABAQUS二次开发对闭合斜裂纹的分支裂纹的扩展过程进行了数值模拟,并采用数值模拟和现有试验相结合的方法验证了以上结论的正确性。
Based on the research results of the sliding crack model and the crack growth characteristics of the existing I-type branch with open crack, the asymptotic propagation characteristics of the I-type crack in the closed crack are studied. The results show that: 1) The asymptotic line of the branch crack path is a straight line parallel to the maximum principal stress, and the asymptotic equation is obtained. As for the airfoil crack with open crack, the asymptotic curve of the cracked airfoil crack is not asymptotically Must pass the initial crack center point, which is related to the initial crack surface friction coefficient, the initial crack length and the initial crack angle; 2) closed crack inclined I-type crack propagation path can be approximated by hyperbola description and The equation describing the crack propagation path of Type I branch is obtained. The secondary development of ABAQUS was used to simulate the propagation of the crack in the closed oblique crack. The correctness of the above conclusions was verified by the numerical simulation and the existing experiments.