Increasing precision requirements motivate research on the system perspective of machining systems. Virtual environments for the prediction of the Process Machine Interaction (PMI) are one key to obtain a priori understanding of machining accuracy, save expensive testing and planning time of industrial users, and increase the overall resource utilization. This paper introduces the modular node-based software platform SharpCut (#cut). The platform follows a sequential modeling approach of manufacturing processes and machine tools by using nodes. The novelty of the method lies in its open architecture with a strong focus on extendibility, adaptability, and research applicability. Besides the node-based modeling approach, four implemented software modules are described. The four modules are the workpiece discretization, the tool and cutting inserts, the material removal, and the system's kinematics. The machine tool's motion and kinematic errors are modeled with Homogeneous Transformation Matrices (HTMs). The workpiece discretization is performed with a memory-efficient implementation of Depth Elements (Dexels). The material removal follows from the modelling of the Tool-Workpiece Engagement (TWE) with a generic model of the tool and the computationally efficient MÖLLER-TRUMBORE ray-triangle intersection algorithm. With the presented modules, it is possible to predict the results of machining processes and perform sensitivity or root cause analyses. The paper concludes with an example model and simulation of a face-milling process.