Time-varying analytical model of ball-end milling tool wear in surface milling

  • Zemin Zhao
  • Xianli LiuEmail author
  • Caixu Yue
  • Hongyan Zhang
  • Rongyi Li
  • Steven Y. Liang


The quality of a workpiece depends on the time-varying characteristics of the tool performance. Tool wear is an important factor that affects the serviceability of a tool. However, most existing models do not fully contain the tool design and processing parameters and do not focus on the time-varying characteristics of wear. In this paper, the wear distribution characteristics of a ball-end mill were investigated by analysing the position function in the milling life model, and the geometric model of the wear volume was proposed based on the principle of calculus. By geometric and physical modelling, the tool design and machining parameters were completely introduced in the model, and the time variable is introduced when solving the wear rate. After the models and assumptions are validated, the factors affecting wear are cross-analysed and discussed through simulation. Wear models including time variables, tool design, and milling parameters are obtained, which can be used directly for tool design and analysis. This research provides a basis for the tool analytical design.


Ball-end milling tool Surface milling Time-varying analytical model of wear modelling Wear 


Supplementary material

170_2019_4783_MOESM1_ESM.docx (26 kb)
ESM 1 (DOCX 25 kb)
170_2019_4783_MOESM2_ESM.docx (20 kb)
ESM 2 (DOCX 19 kb)


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2020

Authors and Affiliations

  • Zemin Zhao
    • 1
  • Xianli Liu
    • 1
    Email author
  • Caixu Yue
    • 1
  • Hongyan Zhang
    • 1
  • Rongyi Li
    • 1
  • Steven Y. Liang
    • 2
  1. 1.School of Mechanical Power EngineeringHarbin University of Science and TechnologyHarbinChina
  2. 2.School of Mechanical EngineeringGeorgia Institute of TechnologyAtlantaUSA

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