Industrial forming processes depend on several physical effects, including large deformation thermomechanical damage, localized near the contact zone of the forming tools. The main challenge in this process relies on the detailed knowledge of the desired thermoplastic effects at finite strains and the undesired initiation of macro-cracks. For the numerical solution of this problem, a regularized sharp crack surface in the framework of a phase-field approach is combined here with a modified, thermomechanical Gurson–Tvergaard–Needelman GTN-type plasticity model, such that we obtain a thermodynamically consistent framework. This allows to adapt this highly complex multi-field model using variationally consistent Mortar contact formulations in a straightforward manner. Eventually, the proposed approach is tested on complex three-dimensional geometries, emanating from industrial relevant forming processes.

中文翻译：

---

具有接触应用的热弹塑性固体中的多孔韧性断裂

工业成形过程取决于多种物理效应，包括位于成形工具接触区附近的大变形热机械损伤。该过程中的主要挑战依赖于对有限应变下所需的热塑性效果和不希望的宏观裂纹的产生的详细了解。对于这个问题的数值解，相场方法框架中的正则化尖锐裂纹表面与改进的热机械 Gurson-Tvergaard-Needelman GTN 型塑性模型相结合，这样我们就可以获得热力学一致的框架。这允许以直接的方式使用变分一致的砂浆接触公式来适应这种高度复杂的多场模型。最终，所提出的方法在复杂的三维几何图形上进行了测试，