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An iterative numerical method for determination of temperature-dependent friction coefficients in thermomechanical model analysis of cold bolt forging

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A set of temperature-dependent friction coefficients was developed to increase the accuracy of finite element (FE) simulations of cold bolt forging. The initially attained friction coefficients at different temperatures were calibrated with the iterations between the experimental and thermomechanical model extrusion test loads. The constant friction coefficient and the determined set of friction coefficients as function of temperature were then implemented to the simulations of the cold bolt-forging processes. Further calibrations and model validations were made based on the temperature measurements of the workpiece in the actual bolt-forging processes. To show the advantages of developed temperature-dependent friction coefficients, the loads of four different bolt-forging processes were compared with the thermomechanical model loads calculated using the constant friction and temperature-dependent friction coefficients. The modeling results indicated that the use of temperature-dependent friction coefficients in the FE simulations resulted in nearer temperature distributions and the loads of the workpiece during forging as compared with the use of a constant friction coefficient.

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  1. 1.

    Hayhurst DR, Chan MW (2005) Determination of friction models for metallic die–workpiece interfaces. Int J Mech Sci 47(1):1–25

  2. 2.

    Behrens A, Schafstall H (1998) 2D and 3D simulation of complex multistage forging processes by use of adaptive friction coefficient. J Mater Process Technol 80–1:298–303

  3. 3.

    Cho HJ, Altan T (2005) Determination of flow stress and interface friction at elevated temperatures by inverse analysis technique. J Mater Process Technol 170(1–2):64–70. doi:10.1016/j.jmatprotec.2005.04.091

  4. 4.

    Wang JP, Lin FL, Huang BC, Yun CC (2008) A new experimental approach to evaluate friction in ring test. J Mater Process Technol 197(1–3):68–76. doi:10.1016/j.jmatprotec.2007.06.017

  5. 5.

    Cora ON, Akkok M, Darendeliler H (2008) Modelling of variable friction in cold forging. Proc Inst Mech Eng Part J-J Eng Tribol 222(J7):899–908. doi:10.1243/13506501jet419

  6. 6.

    Tan X, Bay N, Zhang W (2003) Friction measurement and modelling in forward rod extrusion tests. Proc Inst Mech Eng Part J-J Eng Tribol 217(J1):71–82

  7. 7.

    Dubois A, Lazzarotto L, Dubar L, Oudin J (2001) A multi-step lubricant evaluation strategy for wire drawing-extrusion-cold heading sequence. Wear 249(10–11):951–961

  8. 8.

    Saiki H, Ngaile G, Ruan LQ (1997) Influence of die geometry on the workability of conversion coatings combined with soap lubricant in cold forming of steels. J Mater Process Technol 63(1–3):238–243

  9. 9.

    Bay N (1994) The state of the art in cold forging lubrication. J Mater Process Technol 46(1–2):19–40. doi:10.1016/0924-0136(94)90100-7

  10. 10.

    Farias MCM, Santos CAL, Panossian Z, Sinatora A (2009) Friction behavior of lubricated zinc phosphate coatings. Wear 266(7–8):873–877. doi:10.1016/j.wear.2008.10.002

  11. 11.

    Weymueller R, Carl. (1962) Source book on cold forming; cold extrusion of steels: its promises and problems; American Society for Metals

  12. 12.

    Ruan LQ, Saiki H, Marumo Y, Imamura Y (2005) Evaluation of coating-based lubricants for cold forging using the localised rod-drawing test. Wear 259:1117–1122. doi:10.1016/j.wear.2005.02.103

  13. 13.

    Ngaile G, Saiki H, Ruan LQ, Marumo Y (2007) A tribo-testing method for high performance cold forging lubricants. Wear 262(5–6):684–692. doi:10.1016/j.wear.2006.08.009

  14. 14.

    Steenberg T, Olsen JS, Christensen E, Bjerrum NJ (1999) Estimation of temperature in the lubricant film during cold forging of stainless steel based on studies of phase transformations in the film. Wear 232(2):140–144. doi:10.1016/s0043-1648(99)00137-4

  15. 15.

    Tan X (2002) Comparisons of friction models in bulk metal forming. Tribol Int 35(6):385–393. doi:10.1016/S0301-679X(02)00020-8

  16. 16.

    Mason JJ, Rosakis AJ, Ravichandran G (1994) On the strain and strain rate dependence of the fraction of plastic work converted to heat: an experimental study using high speed infrared detectors and the Kolsky bar. Mech Mater 17(2–3):135–145

  17. 17.

    Meyers MA (1994) Dynamic behavior of materials. Wiley, New York

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Correspondence to M. Güden.

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Ince, U., Güden, M. An iterative numerical method for determination of temperature-dependent friction coefficients in thermomechanical model analysis of cold bolt forging. Int J Adv Manuf Technol 68, 2133–2144 (2013). https://doi.org/10.1007/s00170-013-4831-2

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  • Friction
  • Cold forging
  • Bolt
  • Numerical simulation
  • Fastener