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Numerical study of chip formation and cutting force in high-speed machining of Ti-6Al-4V bases on finite element modeling with ductile fracture criterion

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Abstract

This paper suggests a novel numerical model to accurately simulate the chip formation for a wide range of high cutting speeds. It consists of finite element (FE) modeling of orthogonal machining of titanium alloy (Ti-6Al-4V) in which the Johnson–Cook (JC) material law which can reflect the strain rate hardening and thermal softening influences, and the JC damage law coupled with the displacement-based ductile failure criterion are implemented during the chip formation. Orthogonal machining simulations are performed in a conventional high cutting speed range of 170 to 250 m/min and at the extreme high cutting speeds ranging from 1200 to 4800 m/min, and saw-tooth chips are occurred. The development of chip serration and cutting force are analyzed. It is found that saw-tooth chip formation in high-speed machining of Ti-6Al-4V is the result of ductile fracture. When the cutting speed is increased from conventional to extreme high speeds, the chip morphology changes with varying the fracture behavior. The numerical model is also verified by comparing predicted results with available experimental data in the literature. The results indicate that chip morphology and cutting force can be accurately acquired using the ductile failure criterion in high-speed machining of Ti-6Al-4V.

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References

  1. Molinari A, Musquar C, Sutter G (2002) Adiabatic shear banding in high speed machining of Ti-6Al-4V: experiments and modeling. Int J Plast 18(4):443–459

    Article  Google Scholar 

  2. Che-Haron CH, Jawaid A (2005) The effect of machining on surface integrity of titanium alloy Ti–6%Al–4%V. J Mater Process Technol 166(2):188–192

    Article  Google Scholar 

  3. Calamaz M, Coupard D, Girot F (2008) A new material model for 2D numerical Sim-ulation of serrated chip formation when machining titanium alloy Ti-6Al-4V. Int J Mach Tools Manuf 48(3-4):275–288

    Article  Google Scholar 

  4. Gao C, Zhang L (2013) Effect of cutting conditions on the serrated chip formation in high-speed cutting. Mach Sci Technol 17(1):26–40

    Article  Google Scholar 

  5. Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rate, and temperatures. In: Proceedings of the international symposium on ballistics, The Hague, The Netherlands, pp. 1–7

  6. Vaziri MR, Salimi M, Mashayekhi M (2011) Evaluation of chip formation simulation models for material separation in the presence of damage models. Simul Model Pract Th 19(2):718–733

    Article  Google Scholar 

  7. Chen G, Ren CZ, Yang XY, Jin XM, Guo T (2011) Finite element simulation of high-speed machining of titanium alloy (Ti-6Al-4V) based on ductile failure model. Int J Adv Manuf Technol 56(9-12):1027–1038

    Article  Google Scholar 

  8. Ali MH, Ansari MNM, Khidhir BA, Mohamed B, Oshkour AA (2014) Simulation machining of titanium alloy (Ti-6Al-4V) based on the finite element modeling. J Braz Soc Mech Sci Eng 36(2):315–324

    Article  Google Scholar 

  9. Aydin M (2017) Prediction of cutting speed interval of diamond-coated tools with residual stress. Mater Manuf Process 32(2):145–150

    Article  Google Scholar 

  10. Aydın M, Köklü U (2017) Identification and modeling of cutting forces in ball-end milling based on two different finite element models with arbitrary Lagrangian Eulerian technique. Int J Adv Manuf Technol 92(1-4):1465–1480

    Article  Google Scholar 

  11. Jain A, Khanna N, Bajpai V (2018) FE simulation of machining of Ti-54M titanium alloy for industry relevant outcomes. Measurement 129:268–276

    Article  Google Scholar 

  12. Calamaz M, Coupard D, Girot F (2010) Numerical simulation of titanium alloy dry machining with a strain softening constitutive law. Mach Sci Technol 14(2):244–257

    Article  Google Scholar 

  13. Calamaz M, Coupard D, Nouari M, Girot F (2011) Numerical analysis of chipformation and shear localisation processes in machining the Ti-6Al-4V titanium alloy. Int J Adv Manuf Technol 52(9-12):887–895

    Article  Google Scholar 

  14. Sima M, Özel T (2010) Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti-6Al-4V. Int J Mach Tools Manuf 50(11):943–960

    Article  Google Scholar 

  15. Ning J, Liang SY (2018) Model-driven determination of Johnson-Cook material constants using temperature and force measurements. Int J Adv Manuf Technol 97(1-4):1053–1060

    Article  Google Scholar 

  16. Ning J, Nguyen V, Huang Y, Hartwig KT, Liang SY (2018) Inverse determination of Johnson–Cook model constants of ultra-fine-grained titanium based on chip formation model and iterative gradient search. Int J Adv Manuf Technol 99(5-8):1131–1140

    Article  Google Scholar 

  17. Umbrello D (2008) Finite element simulation of conventional and high speed machining of Ti6Al4V alloy. J Mater Process Technol 196(1-3):79–87

    Article  Google Scholar 

  18. Subbiah S, Melkote SN (2008) Effect of finite edge radius on ductile fracture ahead of the cutting tool edge in micro-cutting of Al2024-T3. Mater Sci Eng A 474(1-2):283–300

    Article  Google Scholar 

  19. Owen DRJ, Vaz JM (1999) Computational techniques applied to high-speed machining under adiabatic strain localization conditions. Comput Methods Appl Mech Eng 171:445–461

    Article  Google Scholar 

  20. Wang B, Liu Z (2014) Investigations on the chip formation mechanism and shear localization sensitivity of high-speed machining Ti6Al4V. Int J Adv Manuf Technol 75(5-8):1065–1076

    Article  Google Scholar 

  21. Ambati R, Yuan H (2011) FEM mesh-dependence in cutting process simulations. Int J Adv Manuf Technol 53(1-4):313–323

    Article  Google Scholar 

  22. Mabrouki T, Girardin F, Asad M, Rigal JF (2008) Numerical and experimental study of dry cutting for an aeronautic aluminium alloy. Int J Mach Tools Manuf 48(11):1187–1197

    Article  Google Scholar 

  23. Zhang YC, Mabrouki T, Nelias D, Gong YD (2011) Chip formation in orthogonal cutting considering interface limiting shear stress and damage evolution based on fracture energy approach. Finite Elem Anal Des 47(7):850–863

    Article  Google Scholar 

  24. Hua J, Shivpuri R (2004) Prediction of chip morphology and segmentation during the machining of titanium alloys. J Mater Process Technol 150(1-2):124–133

    Article  Google Scholar 

  25. Sutter G, List G (2013) Very high speed cutting of Ti-6Al-4V titanium alloy-change in morphology and mechanism of chip formation. Int J Mach Tools Manuf 66:37–43

    Article  Google Scholar 

  26. Ducobu F, Rivière-Lorphèvre E, Filippi E (2015) Experimental contribution to the study of the Ti6Al4V chip formation in orthogonal cutting on a milling machine. Int J Mater Form 8(3):455–468

    Article  Google Scholar 

  27. Singh BK, Roy H, Mondal B, Roy SS, Mandal N (2019) Measurement of chip morphology and multi criteria optimization of turning parameters for machining of AISI 4340 steel using Y-ZTA cutting insert. Measurement 142:181–194

    Article  Google Scholar 

  28. Wang B, Liu Z (2016) Evaluation on fracture locus of serrated chip generation with stress triaxiality in high speed machining of Ti6Al4V. Mater Des 98:68–78

    Article  Google Scholar 

  29. Jomaa W, Mechri O, Lévesque J, Songmene V, Bocher P, Gakwaya A (2017) Finite element simulation and analysis of serrated chip formationduring high–speed machining of AA7075–T651 alloy. J Manuf Process 26:446–458

    Article  Google Scholar 

  30. Wan L, Wang D (2015) Numerical analysis of the formation of the dead metal zone with different tools in orthogonal cutting. Simul Model Pract Th 56:1–15

    Article  Google Scholar 

  31. Shuang F, Chen X, Ma W (2018) Numerical analysis of chip formation mechanisms in orthogonal cutting of Ti6Al4V alloy based on a CEL model. Int J Mater Form 11(2):185–198

    Article  Google Scholar 

  32. Zhao W, Yang Q, Khan AM, He N, Zhang A (2019) An inverse-identification-based finite element simulation of orthogonal cutting tungsten carbide. J Braz Soc Mech Sci Eng 41(2):85

    Article  Google Scholar 

  33. Aydın M, Köklü U (2020) Analysis of flat-end milling forces considering chip formation process in high-speed cutting of Ti6Al4V titanium alloy. Simul Model Pract Th 100:102039

    Article  Google Scholar 

  34. Johnson GR, Holmquist TJ (1989) Test data and computational strengthen and fracture model constants for 23 materials subjected to large strain, high-strain rates, and high temperatures, LA-11463-MS, Los Alamos National laboratory

  35. Mabrouki T, Rigal JF (2006) A contribution to a qualitative understanding of thermo-mechanical effects during chip formation in hard turning. J Mater Process Technol 176(1-3):214–221

    Article  Google Scholar 

  36. Johnson GR (1981) Dynamic analysis of a torsion test specimen including heat conduction and plastic flow. J Eng Mater Technol 103(3):201–206

    Article  Google Scholar 

  37. Zorev NN (1963) Inter-relationship between shear processes occurring along tool face and shear plane in metal cutting. In: International Research in Production Engineering ASME, New York, pp. 42–49

  38. Arrazola PJ, Villar A, Ugarte D, Marya S (2007) Serrated chip prediction in finite element modeling of the chip formation process. Mach Sci Technol 11:367–390

  39. Thepsonthi T, Özel T (2015) 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 Process Technol 221:128–145

  40. Vyas A, Shaw MC (1999) Mechanics of saw–tooth chip formation in metal cutting. J Manuf Sci Eng 121(2):163–172

    Article  Google Scholar 

  41. Gente A, Hoffmeister HW (2001) Chip formation in machining Ti6Al4V at extremely cutting speed. CIRP Ann Manuf Technol 50(1):49–52

    Article  Google Scholar 

  42. Bäker M, Rösler J, Siemers C (2002) A finite element model of high speed metal cutting with adiabatic shearing. Comput Struct 80(5-6):495–513

    Article  Google Scholar 

Download references

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Correspondence to Mehmet Aydın.

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Aydın, M. Numerical study of chip formation and cutting force in high-speed machining of Ti-6Al-4V bases on finite element modeling with ductile fracture criterion. Int J Mater Form 14, 1005–1018 (2021). https://doi.org/10.1007/s12289-021-01617-9

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