Skip to main content
Log in

A nonuniform moving heat source model for temperature simulation in ultrasonic-assisted cutting of titanium alloys

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

The ultrasonic-assisted machining (UAM) technique has been widely used in machining of difficult-to-cut materials for its well comprehensive performance, especially in the mechanical and thermal aspects. In this paper, a nonuniform moving heat source model is proposed to analyze the heat transfer problem during ultrasonic vibration-assisted machining of Ti6Al4V. The influences of ultrasonic vibration amplitude and frequency on temperature distribution are discussed in detail. Two main characteristics are observed according to the temperature contours caused by the ultrasonic-assisted machining: one is that the equivalent heat source center tends to move backward the tool rake face, and the other is that the temperature gradients in cutting direction and depth direction are inconsistent. For further study, the temperature variation with respect to vibration parameters near the shear plane and machined surface is calculated. Results show that the increase of vibration amplitude and frequency can reduce the temperature near the shear plane due to a large temperature gradient. Besides, a large vibration amplitude can obtain a low temperature on the machined surface while the increased vibration frequency results in a higher surface temperature after machining. The research can be used to provide guidance for improving the quality and efficiency of difficult-to-cut material machining.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dandekar CR, Shin YC, Barnes J (2010) Machinability improvement of titanium alloy (Ti–6Al–4V) via LAM and hybrid machining. Int J Mach Tool Manu 50:174–182

    Article  Google Scholar 

  2. Urbicaina G, Palacios JA, Fernández A, Rodríguez A, López de Lacalle LN, Elías-Zúñiga A (2013) Stability prediction maps in turning of difficult-to-cut materials. Procedia Engineering 63:514–522

    Article  Google Scholar 

  3. Li Z, Zhang DY, Jiang XG, Qin W, Geng DX (2017) Study on rotary ultrasonic-assisted drilling of titanium alloys (Ti6Al4V) using 8-facet drill under no cooling condition. Int J Adv Manuf Technol 90(9–12):3249–3264

    Article  Google Scholar 

  4. Pujana J, Rivero A, Celaya A, López de Lacalle LN (2009) Analysis of ultrasonic-assisted drilling of Ti6Al4V. Int J Mach Tool Manu 49:500–508

    Article  Google Scholar 

  5. Machai C, Biermann D (2011) Machining of β-titanium-alloy Ti–10V–2Fe–3Al under cryogenic conditions: cooling with carbon dioxide snow. J Mater Process Tech 211:1175–1183

    Article  Google Scholar 

  6. Yashiro T, Ogawa T, Sasahara H (2013) Temperature measurement of cutting tool and machined surface layer in milling of CFRP. Int J Mach Tool Manu 70(4):63–69

    Article  Google Scholar 

  7. Guo C, Wu Y, Vargheseb V, Malkin S (1999) Temperatures and energy partition for grinding with vitrified CBN wheels. CIRP Ann—Manuf Techn 48(1):247–250

    Article  Google Scholar 

  8. Zhang XF, Lin B, Xi H (2013) Validation of an analytical model for grinding temperatures in surface grinding by cup wheel with numerical and experimental results. Int J Heat Mass Tran 58:29–42

    Article  Google Scholar 

  9. Muhammad R, Maurotto A, Demiral M, Roy A, Silberschmidt VV (2014) Thermally enhanced ultrasonically assisted machining of Ti alloy. CIRP—J Manuf Sci Tech 7:159–167

    Article  Google Scholar 

  10. Zhang X, Lu Z, Peng Z, Sui H, Zhang D (2018) Development of a tool-workpiece thermocouple system for comparative study of the cutting temperature when high-speed ultrasonic vibration cutting Ti-6Al-4V alloys with and without cutting fluids. Int J Adv Manuf Technol 96(1–4):237–246

    Google Scholar 

  11. Salonitis K, Chryssolouris G (2007) Cooling in grind-hardening operations. Int J Adv Manuf Technol 33(3–4):285–297

    Article  Google Scholar 

  12. Venkatachalapathy VSK, Rajmohan B (2003) Experimental studies on the grind-hardening effect in cylindrical grinding. Mater Manuf Process 18(2):245–259

    Article  Google Scholar 

  13. Nguyen T, Zhang LC (2010) Grinding–hardening using dry air and liquid nitrogen: prediction and verification of temperature fields and hardened layer thickness. Int J Mach Tool Manu 50(10):901–910

    Article  Google Scholar 

  14. Hou ZB, Komanduri R (2000) General solutions for stationary/moving plane heat source problems in manufacturing and tribology. Int J Heat Mass Tran 43:1679–1698

    Article  MATH  Google Scholar 

  15. Zhang YW, Faghri A (1996) An integral approximate solution of heat transfer in the grinding process. Int J Heat Mass Tran 39:2653–2662

    Article  MATH  Google Scholar 

  16. Jin T, Cai GQ (2000) Analytical thermal models of oblique moving heat source for deep grinding and cutting. J Manuf Sci E 123:185–190

    Article  Google Scholar 

  17. Kidawa-Kukla J (2008) Temperature distribution in a rectangular plate heated by a moving heat source. Int J Heat Mass Tran 51:865–872

    Article  MATH  Google Scholar 

  18. Parkitny R, Winczek J (2013) Analytical solution of temporary temperature field in half-infinite body caused by moving tilted volumetric heat source. Int J Heat Mass Tran 60:469–479

    Article  Google Scholar 

  19. Van Elsen M, Baelmans M, Mercelis P, Kruth JP (2007) Solutions for modelling moving heat sources in a semi-infinite medium and applications to laser material processing. Int J Heat Mass Tran 50:4872–4882

    Article  MATH  Google Scholar 

  20. Reséndiz-Flores EO, Saucedo-Zendejo FR (2015) Two-dimensional numerical simulation of heat transfer with moving heat source in welding using the Finite Pointset Method. Int J Heat Mass Tran 90:239–245

    Article  Google Scholar 

  21. Foeckerer T, Zaeh MF, Zhang OB (2013) A three-dimensional analytical model to predict the thermo-metallurgical effects within the surface layer during grinding and grind-hardening. Int J Heat Mass Tran 56:223–237

    Article  Google Scholar 

  22. Devesse W, De Baere D, Guillaume P (2014) The isotherm migration method in spherical coordinates with a moving heat source. Int J Heat Mass Tran 75:726–735

    Article  Google Scholar 

  23. Mitrofanov AV, Babitsky VI, Silberschmidt VV (2004) Finite element analysis of ultrasonically assisted turning of Inconel 718. J Mater Process Tech 153-154:233–239

    Article  Google Scholar 

  24. Mitrofanov AV, Babitsky VI, Silberschmidt VV (2005) Thermomechanical finite element simulations of ultrasonically assisted turning. Comput Mater Sci 32:463–471

    Article  Google Scholar 

  25. Ahmed N, Mitrofanov AV, Babitsky VI, Silberschmidt VV (2006) Analysis of material response to ultrasonic vibration loading in turning Inconel 718. Mater Sci Eng A 424:318–325

    Article  Google Scholar 

  26. Ahmed N, Mitrofanov AV, Babitsky VI, Silberschmidt VV (2007) Analysis of forces in ultrasonically assisted turning. J Sound Vib 308:845–854

    Article  Google Scholar 

  27. Overcash JL, Cuttino JF (2009) In-process modeling of dynamic tool-tip temperatures of a tunable vibration turning device operating at ultrasonic frequencies. Precis Eng 33:505–515

    Article  Google Scholar 

  28. Elangovan S, Semeer S, Prakasan K (2009) Temperature and stress distribution in ultrasonic metal welding—an FEA-based study. J Mater Process Tech 209:1143–1150

    Article  Google Scholar 

  29. Patil S, Joshi S, Tewari A, Joshi SS (2014) Modelling and simulation of effect of ultrasonic vibrations on machining of Ti6Al4V. Ultrasonics 54:694–705

    Article  Google Scholar 

  30. Zhu Z, Wynne BP, Ghassemieh E (2008) Microstrcutural evolution of SiC fibre embedded AA6061 matrix induced by ultrasonic consolidation. MRS Proc 1075

  31. Özel T (2006) The influence of friction models on finite element simulations of machining. Int J Mach Tool Manu 46(5):518–530

    Article  Google Scholar 

  32. Teidelt E, Starcevic J, Popov VL (2012) Influence of ultrasonic oscillation on static and sliding friction. Tribol Lett 48:51–62

    Article  Google Scholar 

  33. Arcona C, Dow TA (1996) A new technique for studying the chip formation process in diamond turning. Precis Eng 18(2–3):157–160

    Article  Google Scholar 

  34. Komanduri R, Hou ZB (2001) Thermal modeling of the metal cutting process—part III: temperature rise distribution due to the combined effects of shear plane heat source and the tool–chip interface frictional heat source. Int J Mech Sci 43(1):89–107

    Article  MATH  Google Scholar 

  35. Komanduri R, Hou ZB (2000) Thermal modeling of the metal cutting process: part I—temperature rise distribution due to shear plane heat source. Int J Mech Sci 42(9):1715–1752

    Article  MATH  Google Scholar 

  36. Hahn RS (1951) On the temperature developed at the shear plane in the metal cutting process. Proceedings of First U.S. National Congress of Applied Mechanics, 661–666

  37. Wu Z, Deng JX, Chen Y, Xing YQ, Zhao J (2012) Performance of the self-lubricating textured tools in dry cutting of Ti-6Al-4V. Int J Adv Manuf Technol 62:943–951

    Article  Google Scholar 

  38. Shaw MC (1984) Metal cutting principles. Oxford U.K. Oxford University Press

  39. Chen JB, Fang QH, Wang CC, Du JK, Liu F (2016) Theoretical study on brittle–ductile transition behavior in elliptical ultrasonic assisted grinding of hard brittle materials. Precis Eng 46:104–117

    Article  Google Scholar 

  40. Gente A, Hoffmeister HW, Evans CJ (2001) Chip formation in machining Ti6Al4V at extremely high cutting speeds. CIRP Ann-Manuf Techn 50(1):49–52

    Article  Google Scholar 

  41. Liu K, Li XP, Liang SY (2007) The mechanism of ductile chip formation in cutting of brittle materials. Int J Adv Manuf Technol 33(9–10):875–884

    Article  Google Scholar 

  42. Lee P, Altintaş Y (1996) Prediction of ball-end milling forces from orthogonal cutting data. Int J Mach Tool Manu 36(9):1059–1072

    Article  Google Scholar 

  43. Li S, Wu Y, Nomura M (2016) Effect of grinding wheel ultrasonic vibration on chip formation in surface grinding of Inconel 718. Int J Adv Manuf Technol 86(1–4):1113–1125

    Article  Google Scholar 

  44. Wu YB, Nomura M, Zhi JF, Kato M (2004) Modeling of grinding force in constant-depth-of-cut ultrasonically assisted grinding. Mater Sci Forum 471-472:101–106

    Article  Google Scholar 

  45. Bouacha K, Yallese MA, Mabrouki T, Rigal JF (2010) Statistical analysis of surface roughness and cutting forces using response surface methodology in hard turning of AISI 52100 bearing steel with CBN tool. Int J Refract Met H 28(3):349–361

    Article  Google Scholar 

Download references

Funding

The authors would like to deeply appreciate the support from the National Natural Science Foundation of China (51601100, 11672141, 11572118, and 11402128), the Programs Supported by Ningbo Natural Science Foundation (2017A610092), the Hunan Provincial Science Fund for Distinguished Young Scholars (2015JJ1006), the Fok Ying-Tong Education Foundation, China (141005), and the K. C. Wong Magna Fund administered by Ningbo University.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Jianbin Chen or Qihong Fang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, J., Xu, M., Xie, C. et al. A nonuniform moving heat source model for temperature simulation in ultrasonic-assisted cutting of titanium alloys. Int J Adv Manuf Technol 97, 3009–3021 (2018). https://doi.org/10.1007/s00170-018-2174-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-018-2174-8

Keywords

Navigation