Numerical simulation of metal machining process with eulerian and total lagrangian SPH

Abstract

This paper presents numerical simulations of metal machining processes with Eulerian and Total Lagrangian Smoothed Particle Hydrodynamics (SPH). Being a mesh-free method, SPH can conveniently handle large deformation and material separation. However, the Eulerian SPH (ESPH) in which the kernel functions are computed based on the current particle positions suffers from the tensile instability. The original Total Lagrangian SPH (TLSPH) based on the initial configuration is free of this instability, but it needs update of reference configuration in large deformation problems. In this work, the two methods are employed to model several metal machining cases with impact, pressing, and cutting, the results are compared with reference solutions. It is found that both the two SPH methods can capture the salient phenomena in metal processing, e.g. strain localisation, large deformation, and material separation. The formulations, implementations, and performance of the two methods are compared.