Split‐Hopkinson‐Pressure‐Bar simulations using MPM

Abstract

The material point method (MPM) represents a discretization method that combines the beneficial aspects of a Lagrangian representation of material within an Eulerian solution scheme. Deformable bodies are discretized with material points that carry mass, kinematical quantities such as velocity and material history variables. The material points are not connected via a Lagrangian mesh but a computational background mesh. This mesh is arbitrary and hence not subject to critical distortion. Due to this aspect, the MPM shows promising potential to large deformation problems. In the context of the "Virtual Machining" project, the MPM will be elaborated for metal cutting simulations of a 42CrMo4 heat treatable steel. The first steps towards this application are experimental investigations on the material parameters. To gather data on the rate dependence in the constitutive response of 42CroMo4, Split-Hopkinson-Pressure-Bar (SHPB) experiments were performed. These tests are subject to numerical analysis using the MPM to get a first impression of the method in this kind of problem. This contribution represents a proof of concept for an SHPB analysis on the here chosen MPM scheme.