In this paper, a general numerical framework for the modeling of ductile fracture in 3D meshes is introduced. The strategy is inspired from the phase field model and adaptive remeshing tools. The phase field model was introduced as a continuous model for predicting the initiation and propagation of cracks in materials. However, the model has a limitation on the choice of the characteristic length scale that controls the width of the cracked region. This work contributes to the full modeling of transition between the continuous damage using the phase field model to the discontinuous crack initiation and propagation within a unified numerical framework called CIPFAR. The contributions of the work include: (i). identification of the crack surface on arbitrary mesh topologies; (ii). intersection by a Sequence Agnostic Partitioning strategy which is introduced to adapt the mesh to the computed crack surface; (iii). a nodal duplication by virtual non-manifold patch repair to open the mesh. Combining all the mentioned algorithms with adaptive remeshing allows modeling the initiation and propagation of cracks in materials efficiently. Different numerical examples are presented to prove the ability of the developed algorithm to model ductile fracture cases without the need to predefine the crack initiation region.

在本文中，介绍了 3D 网格中韧性断裂建模的通用数值框架。该策略的灵感来自相场模型和自适应重新网格化工具。引入相场模型作为预测材料中裂纹萌生和扩展的连续模型。然而，该模型在控制裂纹区域宽度的特征长度尺度的选择上存在局限性。这项工作有助于在称为 CIPFAR 的统一数值框架内对使用相场模型的连续损伤到不连续裂纹萌生和扩展之间的过渡进行完整建模。工作的贡献包括： (i)。识别任意网格拓扑上的裂纹表面；（二）。通过引入序列不可知分区策略来使网格适应计算的裂纹表面；（三）。通过虚拟非流形补丁修复来打开网格的节点重复。将所有提到的算法与自适应重新划分网格相结合，可以有效地对材料中裂纹的萌生和扩展进行建模。提供了不同的数值例子来证明开发的算法能够模拟延性断裂情况，而无需预先定义裂纹萌生区域。