Numerical study of smoothed particle Galerkin method in orthogonal cutting simulations

Abstract

This paper explores the application of the smoothed particle Galerkin (SPG) method in orthogonal cutting simulation, aiming to assess its accuracy and stability in predicting chip morphology and cutting force compared to conventional methods such as the finite element method (FEM) and the smoothed particle hydrodynamics (SPH) method. By conducting a comparative analysis with FEM and SPH techniques, the study evaluates SPG’s efficacy in simulating chip morphology, stress distribution, and cutting force prediction. Results indicate that the SPG method yields more consistent and uniform chip morphology, a more evenly distributed chip stress profile, and mitigates cutting force variation, thereby providing a more realistic portrayal of dynamic responses during the cutting process. Simulations are conducted across various particle distance, revealing SPG’s superior consistency in cutting force prediction across different mesh sizes. Furthermore, this study scrutinizes the influence of key parameters within the SPG method, including normalization parameters, kernel function type, and damage mechanism, on simulation outcomes. Findings suggest that normalization parameters and the choice of damage mechanism significantly impact cutting force and deformation, while the selection of kernel function affects simulation convergence.