Applied Physics A

, 124:313 | Cite as

Thermal dynamic behavior during selective laser melting of K418 superalloy: numerical simulation and experimental verification

  • Zhen Chen
  • Yu Xiang
  • Zhengying Wei
  • Pei Wei
  • Bingheng Lu
  • Lijuan Zhang
  • Jun Du


During selective laser melting (SLM) of K418 powder, the influence of the process parameters, such as laser power P and scanning speed v, on the dynamic thermal behavior and morphology of the melted tracks was investigated numerically. A 3D finite difference method was established to predict the dynamic thermal behavior and flow mechanism of K418 powder irradiated by a Gaussian laser beam. A three-dimensional randomly packed powder bed composed of spherical particles was established by discrete element method. The powder particle information including particle size distribution and packing density were taken into account. The volume shrinkage and temperature-dependent thermophysical parameters such as thermal conductivity, specific heat, and other physical properties were also considered. The volume of fluid method was applied to reconstruct the free surface of the molten pool during SLM. The geometrical features, continuity boundaries, and irregularities of the molten pool were proved to be largely determined by the laser energy density. The numerical results are in good agreement with the experiments, which prove to be reasonable and effective. The results provide us some in-depth insight into the complex physical behavior during SLM and guide the optimization of process parameters.



The research is financially supported by Science Challenge Project of China, Dongguan University of Technology high-level talents (innovation team) research project (project number: KCYCXPT2016003), National Natural Science Foundation of China under Grant No. 51775420, and Science and Technology Planning Project of Guangdong Province Grant No. 2017B09091101.


  1. 1.
    M.G. Yan, China Aviation Materials Handbook, Volume II: Superalloy. (China Standard Press, Beijing, 2002)Google Scholar
  2. 2.
    Z.X. Shi, J.X. Dong, M.C. Zhang et al., Solidification characteristics and segregation behavior of Ni-based superalloy K418 for auto turbocharger turbine. J. Alloys Compd. 571(18), 168–177 (2013)CrossRefGoogle Scholar
  3. 3.
    H. Attia, S. Tavakoli, R. Vargas et al., Laser-assisted high-speed finish turning of superalloy Inconel 718 under dry conditions. CIRP Ann. Manuf. Technol. 59(1), 83–88 (2010)CrossRefGoogle Scholar
  4. 4.
    J.P. Kruth, L. Froyen, J.V. Vaerenbergh et al., Selective laser melting of iron-based powder. J. Mater. Process. Technol. 149(1), 616–622 (2004)CrossRefGoogle Scholar
  5. 5.
    M. Cloots, P.J. Uggowitzer, K. Wegener, Investigations on the microstructure and crack formation of IN738LC samples processed by selective laser melting using Gaussian and doughnut profiles. Mater. Des. 89(5), 770–784 (2016)CrossRefGoogle Scholar
  6. 6.
    D.D. Gu, W. Meiners, K. Wissenbach et al., Laser additive manufacturing of metallic components: materials, processes and mechanisms. Int. Mater. Rev. 57(3), 133–164 (2012)CrossRefGoogle Scholar
  7. 7.
    F. Calignano, D. Manfredi, E.P. Ambrosio et al., Direct fabrication of joints based on direct metal laser sintering in aluminum and titanium alloys. Proc. CIRP 21, 129–132 (2014)CrossRefGoogle Scholar
  8. 8.
    P. Yuan, D.D. Gu, D.H. Dai, Particulate migration behavior and its mechanism during selective laser melting of TiC reinforced Al matrix nanocomposites. Mater. Des. 82(5), 46–55 (2015)CrossRefGoogle Scholar
  9. 9.
    A. Simchi, Direct laser sintering of metal powders: mechanism, kinetics and microstructural features. Mater. Sci. Eng. A 428(1–2), 148–158 (2006)CrossRefGoogle Scholar
  10. 10.
    Y.J. Shi, H. Shen, Z.Q. Yao et al., An analytical model based on the similarity in temperature distributions in laser forming. Opt. Lasers Eng. 45(1), 83–87 (2007)CrossRefGoogle Scholar
  11. 11.
    Y. Li, D.D. Gu, Parametric analysis of thermal behavior during selective laser melting additive manufacturing of aluminum alloy powder. Mater. Des. 63(2), 856–867 (2014)CrossRefGoogle Scholar
  12. 12.
    C. Körner, E. Attar, P. Heinl, Mesoscopic simulation of selective beam melting processes. J. Mater. Process. Technol. 211(6), 978–987 (2011)CrossRefGoogle Scholar
  13. 13.
    Z.Y. P.Wei, Z. Wei, Chen et al., The AlSi10Mg samples produced by selective laser melting: single track, densification, microstructure and mechanical behavior. Appl. Surf. Sci. 408(30), 38–50 (2017)ADSCrossRefGoogle Scholar
  14. 14.
    C. Meier, R.W. Penny, Y. Zou et al., Thermophysical Phenomena in Metal Additive Manufacturing by Selective Laser Melting: Fundamentals, modeling, Simulation and Experimentation (2017).
  15. 15.
    W.J. Sames, F.A. List, S. Pannala et al., The metallurgy and processing science of metal additive manufacturing. Int. Mater. Rev. 6608, 1–46 (2016)Google Scholar
  16. 16.
    W.E. King, A.T. Anderson, R.M. Ferencz et al., Laser powder bed fusion additive manufacturing of metals; physics, computational, and materials challenges. Appl. Phys. Rev. 2, 041304 (2015)ADSCrossRefGoogle Scholar
  17. 17.
    C. Korner, E. Attar, P. Heinl, Mesoscopic simulation of selective beam melting processes. J. Mater. Process. Technol. 211(6), 978–987 (2011)CrossRefGoogle Scholar
  18. 18.
    R.B. Patil, V. Yadava, Finite element analysis of temperature distribution in single metallic powder layer during metal laser sintering. Int. J. Mach. Tools Manuf. 47(7–8), 1069–1080 (2007)CrossRefGoogle Scholar
  19. 19.
    A. Foroozmehr, M. Badrossamay, E. Foroozmehr et al., Finite element simulation of selective laser melting process considering optical penetration depth of laser in powder bed. Mater. Des. 89(5), 255–263 (2016)CrossRefGoogle Scholar
  20. 20.
    A. Hussein, L. Hao, C. Yan, R. Everson, Finite element simulation of the temperature and stress fields in single layers built without-support in selective laser melting. Mater. Des. 52(24), 638–647 (2013)CrossRefGoogle Scholar
  21. 21.
    B. Schoinochoritis, D. Chantzis, K. Salonitis, Simulation of metallic powder bed additive manufacturing processes with the finite element method: a critical review. Proc. Inst. Mech. Eng Part B J. Eng. Manuf. 231(1), 96–117 (2015)CrossRefGoogle Scholar
  22. 22.
    D.H. Dai, D.D. Gu, Thermal behavior and densification mechanism during selective laser melting of copper matrix composites: Simulation and experiments. Mater. Des. 55(6), 482–491 (2014)CrossRefGoogle Scholar
  23. 23.
    M.J. Xia, D.D. Gu, G.Q. Yu et al., Selective laser melting 3D printing of Ni-based superalloy: understanding thermodynamic mechanisms. Chin. Sci. Bull. 61(13), 1013–1022 (2016)Google Scholar
  24. 24.
    S.A. Khairallah, A.T. Anderson, Mesoscopic simulation model of selective laser melting of stainless steel powder. J. Mater. Process. Technol. 214(11), 2627–2636 (2014)CrossRefGoogle Scholar
  25. 25.
    S.A. Khairallah, A.T. Anderson, A. Rubenchik et al., Laser powder-bed fusion additive manufacturing: physics of complex melt flow and formation mechanisms of pores, spatter, and denudation zones. Acta Mater. 108(15), 36–45 (2016)CrossRefGoogle Scholar
  26. 26.
    C. Körner, A. Bauereiß, E. Attar, Fundamental consolidation mechanisms during selective beam melting of powders. Model Simul. Mater. Sci. Eng. 21(8), 5011 (2014)Google Scholar
  27. 27.
    A. Klassen, T. Scharowsky, C. Körne, Evaporation model for beam based additive manufacturing using free surface lattice Boltzmann methods. J. Phys. D Appl. Phys. 47(27), 275303 (2014)ADSCrossRefGoogle Scholar
  28. 28.
    X. Ding, L. Wang, Heat transfer and fluid flow of molten pool during selective laser melting of AlSi10Mg powder: Simulation and experiment. J. Manuf. Process. 26, 280–289 (2017)CrossRefGoogle Scholar
  29. 29.
    G. Miranda, S. Faria, F. Bartolomeu et al., Predictive models for physical and mechanical properties of 316L stainless steel produced by selective laser melting. Mater. Sci. Eng. A 657, 43–56 (2016)CrossRefGoogle Scholar
  30. 30.
    M.J. Xia, D.D. Gu, D.H. Dai et al., Porosity evolution and its thermodynamic mechanism of randomly packed powder-bed during selective laser melting of Inconel 718 alloy. Int. J. Mach. Tools Manuf. 116, 96–106 (2017)CrossRefGoogle Scholar
  31. 31.
    J.H. Ferziger, M. Peric, Computational methods for fluid dynamics. (World Book Inc, Beijing, 2012)zbMATHGoogle Scholar
  32. 32.
    Q. Zhang, Y. Huo, Z. Rao, Numerical study on solid-liquid phase change in paraffin as phase change material for battery thermal management. Chin. Sci. Bull. 61(5), 1–10 (2016)Google Scholar
  33. 33.
    A. Masmoudi, R. Bolot, C. Coddet, Investigation of the laser–powder–atmosphere interaction zone during the selective laser melting process. J. Mater. Process. Technol. 225, 122–132 (2015)CrossRefGoogle Scholar
  34. 34.
    C.W. Hirt, B.D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39(1), 201–225 (1981)ADSCrossRefzbMATHGoogle Scholar
  35. 35.
    K. Dai, L. Shaw, Finite element analysis of the effect of volume shrinkage during laser densification. Acta Mater. 53(18), 4743–4754 (2005)CrossRefGoogle Scholar
  36. 36.
    J. Yin, H.H. Zhu, L.D. Ke et al., Simulation of temperature distribution in single metallic powder layer for laser micro-sintering. Comput. Mater. Sci. 53(1), 333–339 (2012)CrossRefGoogle Scholar
  37. 37.
    D.H. Dai, D.D. Gu, Influence of thermodynamics within molten pool on migration and distribution state of reinforcement during selective laser melting of AlN/AlSi10Mg composites. Int. J. Mach. Tools Manuf. 100, 14–24 (2016)CrossRefGoogle Scholar
  38. 38.
    A.V. Gusarov, J.P. Kruth, Modelling of radiation transfer in metallic powders at laser treatment. Int. J. Heat Mass Transf. 48(16), 3423–3434 (2005)CrossRefzbMATHGoogle Scholar
  39. 39.
    J.H. Cho, S.J. Na, Theoretical analysis of keyhole dynamics in polarized laser drilling. J. Phys. D Appl. Phys. 40(24), 7638 (2007)ADSCrossRefGoogle Scholar
  40. 40.
    V. Semak, A. Matsunawa, The role of recoil pressure in energy balance during laser materials processing. J. Phys. D Appl. Phys. 30(18), 2541 (1999)ADSCrossRefGoogle Scholar
  41. 41.
    V.R. Voller, C. Prakash, A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems. Int. J. Heat Mass Transf. 30(8), 1709–1719 (1987)CrossRefGoogle Scholar
  42. 42.
    H.C. Min, C.L. Yong, D. Farson, Simulation of weld pool dynamics in the stationary pulsed gas metal arc welding process and final weld shape. Weld. J. 85(12), 271–283 (2006)Google Scholar
  43. 43.
    X.B. Liu, G. Yu, J.G. Guo et al., Research on laser welding of cast Ni-based superalloy K418 turbo disk and alloy steel 42CrMo shaft. J. Alloys Compd. 453(1), 371–378 (2008)ADSCrossRefGoogle Scholar
  44. 44.
    P. Wei, Z. Wei, Z. Chen et al., Thermal behavior in single track during selective laser melting of AlSi10Mg powder. Appl. Phys. A. 123(9), 604 (2017)ADSCrossRefGoogle Scholar
  45. 45.
    W.E. King, H.D. Barth, V.M. Castillo et al., Rubenchik, observation of keyhole-mode laser melting in laser powder-bed fusion additive manufacturing. J. Mater. Process. Technol. 214(12), 2915–2925 (2014)CrossRefGoogle Scholar
  46. 46.
    E. Attar, C. Körner, Lattice Boltzmann model for thermal free surface flows with liquid–solid phase transition. Int. J. Heat Fluid Flow. 32(1), 156–163 (2011)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Zhen Chen
    • 1
  • Yu Xiang
    • 1
  • Zhengying Wei
    • 1
  • Pei Wei
    • 1
  • Bingheng Lu
    • 1
    • 2
  • Lijuan Zhang
    • 3
  • Jun Du
    • 1
  1. 1.State Key Laboratory of Manufacturing System EngineeringXi’an Jiaotong UniversityXi’anChina
  2. 2.School of Mechanical EngineeringDongguan University of TechnologyDongguanChina
  3. 3.Xi’an National Institute of Additive Manufacturing Co., Ltd.Xi’anChina

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