An Improved Particle Finite Element Method for the Simulation of Machining Processes

Authors Xialong Ye, Juan Manuel Rodríguez Prieto, Ralf Müller



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Author Details

Xialong Ye
  • Applied Mechanics, Technische Universität Kaiserslautern, Germany
Juan Manuel Rodríguez Prieto
  • Mechanical Engineering Department, Universidad EAFIT, Medellín, Colombia
Ralf Müller
  • Applied Mechanics, Technische Universität Kaiserslautern, Germany

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Xialong Ye, Juan Manuel Rodríguez Prieto, and Ralf Müller. An Improved Particle Finite Element Method for the Simulation of Machining Processes. In 2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020). Open Access Series in Informatics (OASIcs), Volume 89, pp. 13:1-13:9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
https://doi.org/10.4230/OASIcs.iPMVM.2020.13

Abstract

Machining is one of the most common and versatile manufacturing processes in industry, e.g. automotive industry and aerospace industry. But classical numerical methods such as the Finite Element Method (FEM) have difficulties to simulate it, because the material undergoes large deformations, large strain, large strain rates and high temperatures in this process. One option to simulate such kind of problems is the Particle Finite Element Method (PFEM) which combines the advantages of continuum mechanics and discrete modeling techniques. In this study we develop the PFEM further and call it the Adaptive Particle Finite Element Method (A-PFEM). Compared to the PFEM the A-PFEM enables insertion of particles and improves significantly the mesh quality along the numerical simulation. The A-PFEM improves accuracy and precision, while it decreases computing time and resolves the phenomena that take place in machining. Because metal cutting involves plastic deformation we resort to the J₂ flow theory with isotropic hardening. At last some numerical examples are presented to compare the performance of the PFEM and A-PFEM.

Subject Classification

ACM Subject Classification
  • Applied computing → Physical sciences and engineering
Keywords
  • Particle Finite Element Method
  • Alpha Shape Method
  • Metal Cutting

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