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Effect of Declination Angle on the Side Milling Process of Ti6Al4V by a New Three-Dimensional Milling Finite Element Model

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Abstract

Milling is one of the commonly used processing methods. The spindle of milling cutter is likely to be inclined when assembly error exists or complex surface is machined with multi-axis machine tool, thus reducing the machining accuracy. In this work, a three-dimensional (3D) finite element model (FEM) of side milling is established by using finite element software ABAQUS. This work describes the plastic deformation of materials using the J-C constitutive model considering strain, strain rate and temperature. J-C damage model is then used as the failure criterion of materials. The constructed FEM is verified by comparing with those established in the existing literature. Then, based on the established 3D milling FEM, the influence of feed speed and spindle declination angle on the side milling process is studied. Finally, chip formation process is analyzed, and milling force, stress and temperature distribution are obtained. The results show that the radial milling force Fx is most affected by the declination angle of spindle, whose peak value will obviously increase as the declination angle of spindle increases in the milling process, accompanied by stronger curl in chip.

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References

  1. R.R. Boyer, An Overview on the Use of Titanium in the Aerospace Industry, Mater. Sci. Eng. A., 1996, 213, p 103–114.

    Article  Google Scholar 

  2. K. Aruna Prabha and B. Srinivasa Prasad, Machining of Steam Turbine Blade on 5-Axis CNC, Machine. Mater. Today Proceed., 2019, 18, p 3001–3007.

    Google Scholar 

  3. G. Vickers and K. Quan, Ball-Mills Versus End-Mills for Curved Surface Machining, J. Eng. Industry., 1989, 111, p 22–26.

    Article  Google Scholar 

  4. B. Kim and C. Chu, Effect of Cutter Mark on Surface Roughness and Scallop Height in Sculptured Surface Machining, Comput. Aided Des., 1994, 26, p 179–188.

    Article  Google Scholar 

  5. M. Rahman, J. Heikkala, K. Lappalainen and Modeling, Measurement and Error Compensation of Multi-Axis Machine Tools. Part I: Theory, Int. J. Mach. Tools Manuf., 2000, 40, p 1535–1546.

    Article  Google Scholar 

  6. A.W. Nemetz, W. Daves, T. Klünsner, C. Praetzas, W. Liu, T. Teppernegg, C. Czettl, F. Haas, C. Bölling, and J. Schäferd, Experimentally Validated Calculation of the Cutting Edge Temperature During Dry Milling of Ti6Al4V, J. Mater. Proc. Technol., 2020, 278, p 116544.

    Article  CAS  Google Scholar 

  7. X. Cui, B. Zhao, F. Jiao, and J. Zheng, Chip Formation and its Effects on Cutting Force, Tool Temperature, Tool Stress, and Cutting Edge Wear in High- and Ultra-High-Speed Milling, Int. J. Adv. Manuf. Technol., 2015, 83, p 55–65.

    Article  Google Scholar 

  8. P. Krishnakumar, J. Sripathi, P. Vijay, and K.I. Ramachandran, Finite Element Modelling and Residual Stress Prediction in End Milling of Ti6Al4Valloy, IOP Conf. Ser. Mater. Sci. Eng., 2016, 149, p 012154.

    Article  Google Scholar 

  9. A. Mamedov and I. Lazoglu, Thermal Analysis of Micro Milling Titanium Alloy Ti-6Al-4V, J. Mater. Proc. Technol., 2016, 229, p 659–667.

    Article  CAS  Google Scholar 

  10. Z. Ren, X. Zhang, Y. Wang, Z. Li, and Z. Liu, Finite Element Analysis of the Milling of Ti6Al4V Titanium Alloy Laser Additive Manufacturing Parts, Appl. Sci., 2021, 11, p 4813.

    Article  CAS  Google Scholar 

  11. W.J. Zong, Z.Q. Li, L. Zhang, Y.C. Liang, T. Sun, C.H. An, J.F. Zhang, L. Zhou, and J. Wang, Finite Element Simulation Of Diamond Tool Geometries Affecting the 3D Surface Topography in Fly Cutting of KDP Crystals, Int. J. Adv. Manuf. Technol., 2013, 68, p 1927–1936.

    Article  Google Scholar 

  12. T. Thepsonthi and T. Özel, 3-D Finite Element Process Simulation of Micro-End Milling Ti-6Al-4V Titanium Alloy: Experimental Validations on Chip Flow and Tool Wear, J. Mater. Proc. Technol., 2015, 221, p 128–145.

    Article  CAS  Google Scholar 

  13. K. Gok, H. Sari, A. Gok, S. Neseli, E. Turkes, and S. Yaldiz, Three-Dimensional Finite Element Modeling of Effect on the Cutting Forces of Rake Angle and Approach Angle in Milling, Pro. Inst. Mech. Eng Part E: J. Proc. Mech. Eng., 2016, 231, p 83–88.

    Article  Google Scholar 

  14. A.K. Yadav, M. Kumar, V. Bajpai, N.K. Singh, and R.K. Singh, FE Modeling of Burr Size in High- Speed Micro-Milling of Ti6Al4V, Precis. Eng., 2017, 49, p 287–292.

    Article  Google Scholar 

  15. H. Liu, J. Zhang, Y. Jiang, Y. He, X. Xu, and W. Zhao, Investigation on Morphological Evolution of Chips for Ti6Al4V Alloys with the Increasing Milling Speed, Procedia CIRP., 2016, 46, p 408–411.

    Article  Google Scholar 

  16. Z. Zhu, J. Sun, J. Li, and P. Huang, Investigation on the Influence of Tool Wear Upon Chip Morphology in End Milling Titanium Alloy Ti6Al4V, Int. J. Adv. Manuf. Technol., 2016, 83, p 1477–1485.

    Article  Google Scholar 

  17. W. Hu, J. Guan, B. Li, Y. Cao, and J. Yang, Influence of Tool Assembly Error on Machined Surface in Peripheral Milling Process, Procedia CIRP., 2015, 27, p 137–142.

    Article  Google Scholar 

  18. H.T. Nguyen, H. Wang, and S.J. Hu, Modeling Cutter Tilt and Cutter-Spindle stiffness for Machine Condition Monitoring in Face Milling Using High-Definition Surface Metrology, Int. J. Adv. Manuf. Technol., 2013, 70, p 1323–1335.

    Article  Google Scholar 

  19. M. Soori, B. Arezoo, and M. Habibi, Tool Deflection Error of Three-Axis Computer Numerical Control Milling Machines, Monitoring and Minimizing by a Virtual Machining System, J. Manuf. Sci. Eng., 2016, 138, p 081005.

    Article  Google Scholar 

  20. M. Aydın and U. Köklü, Analysis of Flat-End Milling Forces Considering Chip Formation Process in High-Speed Cutting of Ti6Al4V Titanium Alloy, Sim M. P. Theory., 2020, 100, p 102039.

    Google Scholar 

  21. B. Li, S. Zhang, Q. Zhang, and L. Li, Simulated and Experimental Analysis on Serrated Chip Formation for Hard Milling Process, J. Manuf. Proc., 2019, 44, p 337–348.

    Article  Google Scholar 

  22. Y. Rahul, K. Vipindas, and J. Mathew, Methodology for Prediction of Sub-Surface Residual Stress in Micro End Milling of Ti-6Al-4V Alloy, J. Manuf. Proc., 2021, 62, p 600–612.

    Article  Google Scholar 

  23. G. Li, M. Liu and S. Zhao, Reduced Computational Time in 3D Finite Element Simulation of High Speed Milling of 6061-T6 Aluminum Alloy, Mach. Sci. Technol., 2021, 25, p 558–584.

    Article  CAS  Google Scholar 

  24. Y. Gao, J.H. Ko, and H.P. Lee, 3D Coupled Eulerian-Lagrangian Finite Element Analysis of End Milling, Int. J. Adv. Manuf. Technol., 2018, 98, p 849–857.

    Article  Google Scholar 

  25. T. Thepsonthi and T. Özel, Experimental and Finite Element Simulation Based Investigations on Micro-Milling Ti-6Al-4V Titanium Alloy: Effects of cBN Coating on Tool Wear, J. Mater. Proc. Technol., 2013, 213, p 532–542.

    Article  CAS  Google Scholar 

  26. GR. Johnson, A Constitutive Model and Data for Materials Subjected to Large Strains, High Strain Rates, and High Temperatures, Proc. 7th Inf. Sympo. Ballistics. 1983, p 541-547

  27. Z. Wenming, Finite Element Simulation of Chip Formation in High Speed Cutting of Ti6Al4V Alloy, MA. Thesis, Nanjing University of Aeronautics and Astronautics, 2007

  28. DR. Lesuer, Experimental Investigations of Material Models for TI-6A1-4V Titanium And 2024-T3 Aluminum, National Technical Information Service., https://trid.trb.org/view/618396, 2000, p 00-25

  29. G.R. Johnson and W.H. Cook, Fracture Characteristics of Three Metals Subjected to Various Strains, Strain Rates, Temperatures and Pressures, Eng. Fr. Mech., 1985, 21, p 31–48.

    Article  Google Scholar 

  30. F. Jiang, T. Zhang, and L. Yan, Estimation of Temperature-Dependent Heat Transfer Coefficients in Near-Dry Cutting, Int. J. Adv. Manuf. Technol., 2016, 86, p 1207–1218.

    Article  Google Scholar 

  31. D. Umbrello, Finite Element Simulation of Conventional and High Speed Machining of Ti6Al4V Alloy, J. Mater. Process. Technol., 2008, 196, p 79–87.

    Article  CAS  Google Scholar 

  32. H.B. Wu and S.J. Zhang, 3D FEM Simulation of Milling Process for Titanium Alloy Ti6Al4V, Int. J. of Adv. Manuf. Technol., 2014, 71, p 1319–1326.

    Article  Google Scholar 

  33. A. Davoudinejad, G. Tosello, and M. Annoni, Influence of the Worn Tool Affected by Built-Up Edge (BUE) on Micro End-Milling Process Performance: A 3D Finite Element Modeling Investigation, Int. J. Precis. Eng. Manuf., 2017, 18, p 1321–1332.

    Article  Google Scholar 

Download references

Acknowledgments

The research is financially supported by the National Natural Science Foundation of China (52104037), the China Postdoctoral Science Foundation (2020TQ0251 and 2020M683358), the Sichuan Province Science and Technology Support Program (2022NSFSC1985) and the Science and Technology Cooperation Project of the CNPC-SWPU Innovation Alliance (2020CX040301).

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Correspondence to Yunhai Liu.

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Zhu, X., Shi, J. & Liu, Y. Effect of Declination Angle on the Side Milling Process of Ti6Al4V by a New Three-Dimensional Milling Finite Element Model. J. of Materi Eng and Perform 32, 10702–10711 (2023). https://doi.org/10.1007/s11665-023-07890-w

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