In this study, an approach utilizing a conjunction of the extended finite element method (XFEM) and the Gurson‐Tvergaard‐Needleman (GTN) micromechanical damage model is proposed for predicting the ductile crack propagation of a mill‐annealed Ti‐6Al‐4V alloy. The cohesive model‐based XFEM approach is used to capture the continuous crack propagation process, and the GTN model is applied to describe the constitutive behaviour of the material. Simulations are conducted by using the standard finite element code ABAQUS following a Newton–Raphson algorithm solution with employing the user material subroutine of the GTN model. In comparison with the experimentalresults of the smooth, notched and cracked titanium specimens, this approach is shown to be an efficient method for simulating the ductile crack propagation process under different stress triaxialities.

中文翻译：

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验证基于内聚模型的延性裂纹扩展的扩展有限元方法

在这项研究中，提出了一种结合扩展有限元方法（XFEM）和Gurson-Tvergaard-Needleman（GTN）微机械损伤模型的方法，用于预测铣削退火的Ti-6Al-4V合金的延性裂纹扩展。基于内聚模型的XFEM方法用于捕获连续裂纹扩展过程，而GTN模型则用于描述材料的本构行为。通过遵循牛顿-拉夫森算法解决方案并使用GTN模型的用户材料子例程，使用标准有限元代码ABAQUS进行仿真。与光滑，有缺口和破裂的钛试样的实验结果相比，