Shear cutting introduces residual strains, notches and cracks, which negatively affects edge-formability. This is especially relevant for forming of high-strength sheets, where edge-cracking is a serious industrial problem. Numerical modelling of the shear cutting process can aid the understanding of the sheared edge damage and help preventing edge-cracking. However, modelling of the shear cutting process requires robust and accurate numerical tools that handle plasticity, large deformation and ductile failure. The use of conventional finite element methods (FEM) may give rise to distorted elements or loss of accuracy during re-meshing schemes, while mesh-free methods have tendencies of tensile instability or excessive computational cost. In this article, the authors propose the particle finite element method (PFEM) for modelling the shear cutting process of high-strength steel sheets, acquiring high accuracy results and overcoming the stated challenges associated with FEM. The article describe the implementation of a mixed axisymmetric formulation, with the novelty of adding a ductile damage- and failure model to account for material fracture in the shear-cutting process. The PFEM shear-cutting model was validated against experiments using varying process parameters to ensure the predictive capacity of the model. Likewise, a thorough sensitivity analysis of the numerical implementation was conducted. The results show that the PFEM model is able to predict the process forces and cut edge shapes over a wide range of cutting clearances, while efficiently handling the numerical challenges involved with large material deformation. It is thus concluded that the PFEM implementation is an accurate predictive tool for sheared edge damage assessment.

剪切会产生残余应变、缺口和裂纹，从而对边缘成形性产生负面影响。这对于高强度板材的成型尤其重要，其中边缘裂纹是一个严重的工业问题。剪切过程的数值模拟可以帮助理解剪切边缘损坏并有助于防止边缘破裂。然而，剪切过程的建模需要强大而准确的数值工具来处理塑性、大变形和延性破坏。使用传统的有限元方法（FEM）可能会在重新划分网格方案时导致单元扭曲或精度损失，而无网格方法则有拉伸不稳定或计算成本过高的倾向。在本文中，作者提出了粒子有限元法 (PFEM)，用于对高强度钢板的剪切过程进行建模，获得高精度结果并克服与 FEM 相关的上述挑战。本文描述了混合轴对称公式的实现，其新颖之处在于添加了延性损伤和失效模型来解释剪切过程中的材料断裂。使用不同的工艺参数对 PFEM 剪切模型进行了实验验证，以确保模型的预测能力。同样，对数值实施进行了彻底的敏感性分析。结果表明，PFEM 模型能够预测较宽切削间隙范围内的加工力和切削刃形状，同时有效处理与大材料变形相关的数值挑战。由此得出结论，PFEM 实施是剪切边缘损伤评估的准确预测工具。