Materials Science

, Volume 55, Issue 1, pp 39–45 | Cite as

Temperature Field in the Contact Zone in the Course of Rotary Friction Welding of Metals

  • A. ŁukaszewiczEmail author

We propose a mathematical model for the investigation of the temperature field caused by the friction welding of metals. An axisymmetric nonlinear boundary-value problem of heat conduction is formulated with regard for the friction heating of two cylindrical specimens of finite length made of AISI 1040 steel. It is taken into account that the thermal properties of this steel, its yield strength, and the friction coefficient change as functions of temperature. The numerical solution of the problem is obtained by the finite-element method. We study the influence of two mechanisms of heat generation (caused by friction on the contact surface and by the plastic deformation) on the temperature field of the specimens. It is shown that the obtained numerical results are in good agreement with the corresponding experimental data.


friction welding temperature friction heating plastic deformation finite-element method 


  1. 1.
    V. K. Lebedev, I. A. Chernenko, R. Mikhalski, V. I. Vill’, Friction Welding [in Russian], Mashinostroenie, Leningrad (1987).Google Scholar
  2. 2.
    M. Maalekian, “Friction welding—critical assessment of literature,” Sci. Tech. Weld. Joint.,12, No. 8, 738–759 (2007).CrossRefGoogle Scholar
  3. 3.
    H. N. B. Schmidt, “Modeling thermal properties in friction stir welding,” in: D. Lohwasser and Z. Chen (editors), Friction Stir Welding, Woodhead Publ., Cambridge (2010), pp. 277–313.CrossRefGoogle Scholar
  4. 4.
    X. He, F. Gu, and A. Ball, “A review of numerical analysis of friction stir welding,” Progress Mater. Sci.,65, 1–66 (2014).CrossRefGoogle Scholar
  5. 5.
    A. Sluzalec, “Thermal effects in friction welding,” Int. J. Mech. Sci.,32, No. 65, 467–478 (1990).CrossRefGoogle Scholar
  6. 6.
    A. Moal and E. Massoni, “Finite-element modeling of the inertia welding of two similar parts,” Eng. Comput.,12, No. 6, 497–512 (1995).CrossRefGoogle Scholar
  7. 7.
    L. Fu and L. Duan, “The coupled deformation and heat flow analysis by finite element method during friction welding,” Weld. J.,77, No. 5, 202–207 (1998).Google Scholar
  8. 8.
    V. Balasubramanian, Y. Li, T. Stotler, J. Crompton, A. Soboyejo, N. Katsube, and W. Soboyejo, “A new friction law for the modeling of continuous drive friction welding: applications to 1045 steel welds,” Mater. Manuf. Proc.,14, No. 6, 845–860 (1999).CrossRefGoogle Scholar
  9. 9.
    W. Li and F. Wang, “Modeling of continuous drive friction welding of mild steel,” Mat. Sci. Eng. A,528, No. 18, 5921–5926 (2011).CrossRefGoogle Scholar
  10. 10.
    A. Łukaszewicz, “Axisymmetric numerical model for determination of the transient temperature field during friction welding,” in: Proc. of the 9th Internat. Symp. on the Mechanics of Materials & Structures, Augustów, Poland, (2017), pp. 109–110.Google Scholar
  11. 11.
    A. Łukaszewicz, “2D numerical model for determination of the transient temperature field during continuous-drive frictionwelding,” in: Proc. of 25th Polish-Ukrainian Conf. “CAD in Machinery Design” CADMD 2017, Bielsko Biała, Poland, (2017), pp. 21–22.Google Scholar
  12. 12.
    H. N. B. Schmidt, J. Hattel, and J. Wert, “An analytical model for the heat generation in friction stir welding,” Model. Simulat. Mater. Sci. Eng.,12, No. 1, 143–157 (2004).CrossRefGoogle Scholar
  13. 13.
    R. Nandan, G. G. Roy, T. J. Lienert, and T. Debroy, “Three-dimensional heat and material flow during friction stir welding of mild steel,” Acta Mater.,55, No. 3, 883–895 (2007).CrossRefGoogle Scholar
  14. 14.
    H. N. B. Schmidt and J. Hattel, “Thermal modeling of friction stir welding,” Scripta Mater.,58, No. 5, 332–337 (2008).CrossRefGoogle Scholar
  15. 15.
    M. Maalekian, E. Kozeschink, H. P. Brantner, and H. Cerjak, “Comparative analysis of heat generation in friction welding of steel bars,” Acta Mater.,56, No. 12, 2843–2855 (2008).CrossRefGoogle Scholar
  16. 16.
    M. Awang, V. H. Mucino, Z. Feng, and S. A. David, “Thermomechanical modeling of friction stir spot welding (FSSW) process: use of an explicit adaptive meshing scheme,” SAE Int. Paper.,1, 1251–1256 (2005).Google Scholar
  17. 17.
    E. Bouarroudj, S. Chikh, S. Abdi, and D. Miroud, “Thermal analysis during a rotational friction welding,” Appl. Therm. Eng.,110, 1543–1553 (2017).CrossRefGoogle Scholar
  18. 18.
    COMSOL Multiphysics v. 5.2a., COMSOL AB, Stockholm (2016).
  19. 19.
    M. F. Rothman, High-Temperature Property Data: Ferrous Alloys, ASM Int., Ohio (1988).Google Scholar
  20. 20.
    A. Vairis, G. Papazafeiropoulos, and A. M. Tsainis, “A comparison between friction stir welding, linear friction welding, and rotary friction welding,” Adv. Manuf.,4, 296–304 (2016).CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Politechnika BiałostockaBiałystokPoland

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