Skip to main content
Log in

Meshfree Simulations for Additive Manufacturing Process of Metals

  • Thematic Section: Additive Manufacturing Benchmarks 2018
  • Published:
Integrating Materials and Manufacturing Innovation Aims and scope Submit manuscript

Abstract

We present a meshfree direct numerical simulation (DNS) capability for the additive manufacturing (AM) process of metals based on the hot optimal transportation meshfree (HOTM) method. The HOTM method is a meshfree thermomechanical Lagrangian computational framework for material behaviors under extreme thermomechanical loading conditions. It combines the optimal transportation meshfree (OTM) method and the variational thermomechanical constitutive updates. In the HOTM method, the linear momentum and energy conservation equations are solved simultaneously in a monolithic way. A phase-aware constitutive model is developed to predict the melting/solidification phase change of metals and multiphase mixing during the AM process automatically. The HOTM method is validated in the simulations of the laser welding process over Inconel 625 bare plate by applying heat flux models for the laser beam, the convective heat loss, and radiation heat loss. The performance measurements of the simulation results, including the melt pool geometric dimensions and cooling rates, are comparable to the experimental data measured in the AM benchmark tests. The influence of various laser powers and laser scanning speeds on the melt pool thermodynamics is also studied.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Griffith ML, Keicher DM, Atwood CL, Romero JA, Smugeresky JE, Harwell LD, Greene DL (1996) Free form fabrication of metallic components using laser engineered net shaping (LENS). In: Solid Freeform Fabrication Proceedings, vol. 9, pp. 125–131

  2. Thijs L, Verhaeghe F, Craeghs T, Van Humbeeck J, Kruth JP (2010) A study of the microstructural evolution during selective laser melting of Ti–6Al–4V. Acta Mater 58(9):3303–3312

    Article  CAS  Google Scholar 

  3. Wu AS, Brown DW, Kumar M, Gallegos GF, King WE (2014) An experimental investigation into additive manufacturing-induced residual stresses in 316L stainless steel. Metall Mater Trans A 45(13):6260–6270

    Article  CAS  Google Scholar 

  4. Dinda GP, Dasgupta AK, Mazumder J (2009) Laser aided direct metal deposition of Inconel 625 superalloy: microstructural evolution and thermal stability. Mater Sci Eng A 509(1–2):98–104

    Article  Google Scholar 

  5. Jia Q, Gu D (2014) Selective laser melting additive manufacturing of Inconel 718 superalloy parts: densification, microstructure and properties. J Alloys Compd 585:713–721

    Article  CAS  Google Scholar 

  6. Yuan P, Gu D (2015) Molten pool behaviour and its physical mechanism during selective laser melting of TiC/AlSi10Mg nanocomposites: simulation and experiments. J Phys D Appl Phys 48(3):035303

    Article  Google Scholar 

  7. Kubiak M, Piekarska W, Stano S (2015) Modelling of laser beam heat source based on experimental research of Yb:YAG laser power distribution. Int J Heat Mass Transf 83:679–689

    Article  CAS  Google Scholar 

  8. Khairallah SA, Anderson AT, Rubenchik A, King WE (2016) Laser powder-bed fusion additive manufacturing: physics of complex melt flow and formation mechanisms of pores, spatter, and denudation zones. Acta Mater 108:36–45

    Article  CAS  Google Scholar 

  9. Lane B, Heigel J, Zhirnov I, Khromschenko V, Ricker R, Phan T, Stoudt M, Mekhontsev S, Levine L (2019) Measurements of melt pool geometry and cooling rates of individual laser traces on IN625 bare plates. Integr Mater Manuf Innov

  10. Yang Q, Stainier L, Ortiz M (2006) A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids. J Mech Phys Solids 54(2):401–424

    Article  CAS  Google Scholar 

  11. Li B, Habbal F, Ortiz M (2010) Optimal transportation meshfree approximation schemes for fluid and plastic flows. Int J Numer Methods Eng 83(12):1541–1579

    Article  Google Scholar 

  12. Arroyo M, Ortiz M (2006) Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. Int J Numer Methods Eng 65(13):2167–2202

    Article  Google Scholar 

  13. Courant R, Friedrichs K, Lewy H (1967) On the partial difference equations of mathematical physics. IBM J Res Dev 11:215–234

    Article  Google Scholar 

  14. King WE, Anderson AT, Ferencz RM, Hodge NE, Kamath C, Khairallah SA, Rubenchik AM (2015) Laser powder bed fusion additive manufacturing of metals; physics, computational, and materials challenges. Appl Phys Rev 2(4):041304

    Article  Google Scholar 

  15. Ganzenmüller GC, Steinhauser MO (2011) The implementation of smooth particle hydrodynamics in LAMMPS. Paul Van Liedekerke, and Katholieke Universiteit Leuven

Download references

Funding

This project is financially supported by the National Science Foundation (NSF/CMMI Career Award 1652839).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bo Li.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fan, Z., Li, B. Meshfree Simulations for Additive Manufacturing Process of Metals. Integr Mater Manuf Innov 8, 144–153 (2019). https://doi.org/10.1007/s40192-019-00131-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40192-019-00131-w

Keywords

Navigation