In this paper, an anisotropic failure model proposed by Ganjiani [Ganjiani, M., 2020. A damage model for predicting ductile fracture with considering the dependency on stress triaxiality and Lode angle. European Journal of Mechanics-A/Solids, 104048] is extended to predict the failure phenomena in the materials. The damage model is sensitive to the stress triaxiality and Lode angle parameters. For considering the anisotropy effects, Hill’s 48 yield function has been used. The model is applied to obtain the failure locus and the corresponding Fracture Forming Limit Diagram (FFLD) to validate the performance of the model. The proposed constitutive equations are implemented into the Abaqus/Standard software via the UMAT code and some numerical examples have been simulated. The simulations mainly focused on the proportionality and non-proportionality effects of loading on the onset of fracture. The predicted results show a good agreement with the experimental data. Comparative investigations between the current model and some failure criteria are also provided. The results indicate the significant potentials of the model to predict ductile failure as well as FFLD especially for anisotropic materials.

在本文中，由Ganjiani提出了一个各向异性破坏模型[Ganjiani，M.，2020。一种考虑到应力三轴性和洛德角的依赖性的可预测韧性断裂的损伤模型。欧洲力学杂志-A /固体，104048]扩展到预测材料中的失效现象。损伤模型对应力三轴性和洛德角参数敏感。为了考虑各向异性效应，使用了希尔的48屈服函数。该模型可用于获取故障源和相应的断裂极限图（FFLD），以验证模型的性能。所提出的本构方程通过UMAT代码实现到Abaqus / Standard软件中，并模拟了一些数值示例。模拟主要集中于载荷对骨折发作的比例性和非比例性影响。预测结果与实验数据吻合良好。还提供了当前模型与某些故障准则之间的比较研究。