The Particle Finite Element Method, a lagrangian finite element method based on a continuous Delaunay re-triangulation of the domain, is used to study machining of Ti6Al4V. In this work the method is revised and applied to study the influence of the cutting speed on the cutting force and the chip formation process. A parametric methodology for the detection and treatment of the rigid tool contact is presented. The adaptive insertion and removal of particles are developed and employed in order to sidestep the difficulties associated with mesh distortion, shear localization as well as for resolving the fine-scale features of the solution. The performance of PFEM is studied with a set of different two-dimensional orthogonal cutting tests. It is shown that, despite its Lagrangian nature, the proposed combined finite element-particle method is well suited for large deformation metal cutting problems with continuous chip and serrated chip formation.

中文翻译：

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使用 PFEM 建模的金属切削中分段切屑的生成

粒子有限元方法是一种基于域的连续 Delaunay 重新三角剖分的拉格朗日有限元方法，用于研究 Ti6Al4V 的加工。在这项工作中，该方法被修改并应用于研究切削速度对切削力和切屑形成过程的影响。提出了一种用于检测和处理刚性工具接触的参数化方法。粒子的自适应插入和移除被开发和使用，以避开与网格失真、剪切定位以及解决解决方案的精细尺度特征相关的困难。PFEM 的性能通过一组不同的二维正交切削试验进行研究。结果表明，尽管具有拉格朗日性质，