Metal cutting process is a nonlinear dynamic problem that includesgeometrical, material, and contact nonlinearities. In this work, aLagrangian finite element approach for the simulation of metal cuttingprocess is presented based on the so-called particle finite element method(PFEM). The governing equations for the deformable bodies are discretizedwith the finite element method (FEM) via a mixed formulationusing simplicial elements with equal linear interpolation for displacements,pressure, and temperature. The use of PFEM for modeling ofmetal cutting processes includes the use of a remeshing process, α-shapeconcepts for detecting domain boundaries, contact mechanics laws, andmaterial constitutive models. In this chapter, a 2D PFEM-based numericalmodeling of metal cutting processes has been studied to investigate theeffects of cutting velocity on tool forces, temperatures, and stresses inmachining of Ti–6Al–4V. The Johnson–Cook plasticity model is usedto describe the work material behavior. Numerical simulations are inagreement with experimental results.