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Temporal evolution of temperature gradient and solidification rate in laser powder bed fusion additive manufacturing

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Abstract

Despite all advances in metal additive manufacturing processes, there is limited knowledge about the physical phenomena that take place in the molten pool of powder fusion processes. In particular, further research has to be done to find out how different process parameters affect the melt pool geometry and solidification microstructure. A fast moving heat source and a small melt pool size make it difficult to analyze the physical phenomena in the melt pool experimentally. In this work, a numerical model based on Discrete Element Method was used to simulate the powder distribution and packing. Then, a thermo-fluid model was employed to simulate the molten pool geometry and dynamics. A theoretical study of temperature gradient and solidification rate changes throughout the molten pool lifetime during laser powder bed fusion of Inconel 718 alloy was performed. Our simulations show that the temperature gradient decreases by 25–75% then increases by 1–15% as the material solidifies. The temperature gradient increase is driven by the material’s latent heat. The processing parameters show a minor influence on the solidification parameters just after melting with solidification rates between 0.1 – 0.2 m/s and temperature gradients between 5–10 million K/m. As the solidification proceeds, the effects of the processing parameters become more apparent with final solidification rates around 0.07 – 1.5 m/s and temperature gradients around 1–10 million K/m. The findings of this research help to better understand the thermal behavior of the molten pool, which is critical for controlling the solidification conditions as well as the resultant microstructure and properties.

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The raw/processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.

References

  1. Raghavan N, Dehoff R, Pannala S, Simunovic S, Kirka M, Turner J, Carlson N, Babu S (2016) Numerical modeling of heat-transfer and the influence of process parameters on tailoring the grain morphology of IN718 in electron beam additive manufacturing. Acta Mater 112:303–314. https://doi.org/10.1016/j.actamat.2016.03.063

    Article  Google Scholar 

  2. Wang Y, Shi J, Liu Y (2019) Competitive grain growth and dendrite morphology evolution in selective laser melting of Inconel 718 superalloy. J Cryst Growth 521:15–29. https://doi.org/10.1016/j.jcrysgro.2019.05.027

    Article  Google Scholar 

  3. Collins PC, Brice DA, Samimi P, Ghamarian I, Fraser HL (2016) Microstructural Control of Additively Manufactured Metallic Materials. Annu Rev Mater Res 46:63–91. https://doi.org/10.1146/annurev-matsci-070115-031816

    Article  Google Scholar 

  4. Li H, Huang Y, Jiang S, Lu Y, Gao X, Lu X, Ning Z, Sun J (2021) Columnar to equiaxed transition in additively manufactured CoCrFeMnNi high entropy alloy. Mater Des 197:109262. https://doi.org/10.1016/j.matdes.2020.109262

    Article  Google Scholar 

  5. Raghavan A, Wei HL, Palmer TA, DebRoy T (2013) Heat transfer and fluid flow in additive manufacturing. J Laser Appl 25(5):052006. https://doi.org/10.2351/1.4817788

    Article  Google Scholar 

  6. Radhakrishnan B, Gorti S, Turner J, Acharya R, Sharon J, Staroselsky A, El-Wardany T (2019) Phase field simulations of microstructure evolution in IN718 using a surrogate Ni–Fe–Nb alloy during laser powder bed fusion. Metals 9(1):14. https://doi.org/10.3390/met9010014

    Article  Google Scholar 

  7. Wu YC, Hwang WS, San CH, Chang CH, Lin HJ (2018) Parametric study of surface morphology for selective laser melting on Ti6Al4V powder bed with numerical and experimental methods. Int J Mater Form 11(6):807–813. https://doi.org/10.1007/s12289-017-1391-2

    Article  Google Scholar 

  8. Matthews MJ, Roehlinga TT, Khairallaha SA, Tumkura TU, Gussa G, Shia R, Roehlinga JD, Smitha WL, Vranckena BK, Ganeriwalaa RK, McKeown JT (2020) Controlling melt pool shape, microstructure and residual stress in additively manufactured metals using modified laser beam profiles. Procedia CIRP 94:200–204. https://doi.org/10.1016/j.procir.2020.09.038

    Article  Google Scholar 

  9. Price S, Cooper K, Chou K (2014) Evaluations of temperature measurements in powder-based electron beam additive manufacturing by near-infrared thermography. Int J Rapid Manuf 4(1):1. https://doi.org/10.1504/IJRAPIDM.2014.062010

    Article  Google Scholar 

  10. Gunasegaram DR, Murphy AB, Cummins SJ, Lemiale V, G Delaney W, Nguyen V, Feng Y (2017) Aiming for Modeling-Assisted Tailored Designs for Additive Manufacturing. TMS 2017 146th Annual Meeting {\&} Exhibition Supplemental Proceedings, pp 91–102

  11. Cook PS, Murphy AB (2020) Simulation of melt pool behaviour during additive manufacturing: Underlying physics and progress. Addit Manuf 31:100909. https://doi.org/10.1016/j.addma.2019.100909

    Article  Google Scholar 

  12. Criales LE, Arısoy YM, Özel T (2016) Sensitivity analysis of material and process parameters in finite element modeling of selective laser melting of Inconel 625. Int J Adv Manuf Technol 86(9–12):2653–2666. https://doi.org/10.1007/s00170-015-8329-y

    Article  Google Scholar 

  13. Shi Q, Gu D, Xia M, Cao S, Rong T (2016) Effects of laser processing parameters on thermal behavior and melting/solidification mechanism during selective laser melting of TiC/Inconel 718 composites. Opt Laser Technol 84:9–22. https://doi.org/10.1016/j.optlastec.2016.04.009

    Article  Google Scholar 

  14. Ghosh S (2018) Predictive modeling of solidification during laser additive manufacturing of nickel superalloys: recent developments, future directions. Mater Res Express 5(1):012001. https://doi.org/10.1088/2053-1591/aaa04c

    Article  Google Scholar 

  15. Ghosh S, Ma L, Levine LE, Ricker RE, Stoudt MR, Heigel JC, Guyer JE (2018) Single-Track Melt-Pool Measurements and Microstructures in Inconel 625. Jom 70(6):1011–1016. https://doi.org/10.1007/s11837-018-2771-x

    Article  Google Scholar 

  16. Lee YS, Zhang W (2016) Modeling of heat transfer, fluid flow and solidification microstructure of nickel-base superalloy fabricated by laser powder bed fusion. Addit Manuf 12:178–188. https://doi.org/10.1016/j.addma.2016.05.003

    Article  Google Scholar 

  17. Wu YC, San CH, Chang CH, Lin HJ, Marwan R, Baba S, Hwang WS (2017) Numerical modeling of melt-pool behavior in selective laser melting with random powder distribution and experimental validation. J Mater Process Technol 254:72–78. https://doi.org/10.1016/j.jmatprotec.2017.11.032

    Article  Google Scholar 

  18. Antony K, Arivazhagan N, Senthilkumaran K (2014) Numerical and experimental investigations on laser melting of stainless steel 316L metal powders. J Manuf Process 16(3):345–355. https://doi.org/10.1016/j.jmapro.2014.04.001

    Article  Google Scholar 

  19. Nie P, Ojo OA, Li Z (2014) Numerical modeling of microstructure evolution during laser additive manufacturing of a nickel-based superalloy. Acta Mater 77:85–95. https://doi.org/10.1016/j.actamat.2014.05.039

    Article  Google Scholar 

  20. Zhang Y, Matthews S, Tran ATT, Hyland M (2016) Effects of interfacial heat transfer, surface tension and contact angle on the formation of plasma-sprayed droplets through simulation study. Surf Coatings Technol 307:807–816. https://doi.org/10.1016/j.surfcoat.2016.09.066

    Article  Google Scholar 

  21. Wei HL, Mazumder J, DebRoy T (2015) Evolution of solidification texture during additive manufacturing. Sci Rep 5:1–7. https://doi.org/10.1038/srep16446

    Article  Google Scholar 

  22. Promoppatum P, Yao SC, Pistorius PC, Rollett AD (2017) A Comprehensive Comparison of the Analytical and Numerical Prediction of the Thermal History and Solidification Microstructure of Inconel 718 Products Made by Laser Powder-Bed Fusion. Engineering 3(5):685–694. https://doi.org/10.1016/J.ENG.2017.05.023

    Article  Google Scholar 

  23. Bayat M, Dong W, Thorborg J, To AC, Hattel JH (2021) A review of multi-scale and multi-physics simulations of metal additive manufacturing processes with focus on modeling strategies. Addit Manuf 47:102278. https://doi.org/10.1016/j.addma.2021.102278

    Article  Google Scholar 

  24. Bayat M, Mohanty S, Hattel JH (2019) Multiphysics modelling of lack-of-fusion voids formation and evolution in IN718 made by multi-track/multi-layer L-PBF. Int J Heat Mass Transf 139:95–114. https://doi.org/10.1016/j.ijheatmasstransfer.2019.05.003

    Article  Google Scholar 

  25. Shrestha S, Chou K (2018) Mesoscopic simulation model to predict temperature distribution and melt pool size during selective laser scanning, vol 1. ASME 2018 13th Int. Manuf Sci Eng Conf MSEC 2018:1–7. https://doi.org/10.1115/MSEC2018-6644

    Article  Google Scholar 

  26. Magana A, Yoshioka J, Eshraghi M, Allu P (2022) Multiphysics modeling of thermal behavior, melt pool geometry, and surface topology during laser additive manufacturing. Mater Des 219:110831. https://doi.org/10.1016/j.matdes.2022.110831

    Article  Google Scholar 

  27. National Institute of Standards and Technology (NIST) (2018) Additive Manufacturing Benchmark Test Series (AM-Bench). https://www.nist.gov/ambench/benchmark-test-data. Accessed Oct 2021

  28. Li Y, Gu D (2014) Parametric analysis of thermal behavior during selective laser melting additive manufacturing of aluminum alloy powder. Mater Des 63:856–867. https://doi.org/10.1016/j.matdes.2014.07.006

    Article  Google Scholar 

  29. Di Renzo A, Napolitano ES, Di Maio FP (2021) Coarse-grain dem modelling in fluidized bed simulation: A review. Processes 9(2):1–30. https://doi.org/10.3390/pr9020279

    Article  Google Scholar 

  30. Flow Science (2022) FLOW-3D® Version 120 Users Manual. Flow Science Inc, Santa Fe, NM

    Google Scholar 

  31. Jeyakumar M, Hamed M, Shankar S (2011) Rheology of liquid metals and alloys. J Nonnewton Fluid Mech 166(14–15):831–838. https://doi.org/10.1016/j.jnnfm.2011.04.014

    Article  MATH  Google Scholar 

  32. Wei P, Wei Z, Chen Z, He Y, Du J (2017) Thermal behavior in single track during selective laser melting of AlSi10Mg powder. Appl Phys A Mater Sci Process 123(9):1–13. https://doi.org/10.1007/s00339-017-1194-9

    Article  Google Scholar 

  33. Meggs L (2011) The Marangoni Effect: A Fluid Phenom. International Space Station Program Science Office. https://www.nasa.gov/mission_pages/station/research/news/marangoni.html. Accessed Mar 2022

  34. Zhao Y, Koizumi Y, Aoyagi K, Wei D, Yamanaka K, Chiba A (2019) Molten pool behavior and effect of fluid flow on solidification conditions in selective electron beam melting (SEBM) of a biomedical Co-Cr-Mo alloy. Addit Manuf 26:202–214. https://doi.org/10.1016/j.addma.2018.12.002

    Article  Google Scholar 

  35. Hunt JD (1984) Steady state columnar and equiaxed growth of dendrites and eutectic. Mater Sci Eng 65(1):75–83. https://doi.org/10.1016/0025-5416(84)90201-5

    Article  Google Scholar 

  36. Gäumann M, Bezençon C, Canalis P, Kurz W (2001) Single-crystal laser deposition of superalloys: Processing-microstructure maps. Acta Mater 49(6):1051–1062. https://doi.org/10.1016/S1359-6454(00)00367-0

    Article  Google Scholar 

  37. Kurz W, Bezençon C, Gäumann M (2001) Columnar to equiaxed transition in solidification processing. Sci Technol Adv Mater 2(1):185–191. https://doi.org/10.1016/S1468-6996(01)00047-X

    Article  Google Scholar 

  38. Knapp GL, Raghavan N, Plotkowski A, DebRoy T (2019) Experiments and simulations on solidification microstructure for Inconel 718 in powder bed fusion electron beam additive manufacturing. Addit Manuf 25:511–521. https://doi.org/10.1016/j.addma.2018.12.001

    Article  Google Scholar 

  39. Pottlacher G, Hosaeus H, Kaschnitz E, Seifter A (2002) Thermophysical properties of solid and liquid Inconel 718 alloy. Scand J Metall 31(3):161–168. https://doi.org/10.1034/j.1600-0692.2002.310301.x

    Article  Google Scholar 

  40. Agazhanov AS, Samoshkin DA, Kozlovskii YM (2019) Thermophysical properties of Inconel 718 alloy. J Phys Conf Ser 1382(1):1–7. https://doi.org/10.1088/1742-6596/1382/1/012175

    Article  Google Scholar 

  41. Valencia J, Quested P (2008) Thermophysical Properties. ASM Handb 15:468–481

    Google Scholar 

  42. Bontha S, Klingbeil NW (2003) Thermal Process Maps for Controlling Microstructure in Laser-Based Solid Freeform Fabrication. SFF Proc, pp 219–226

    Google Scholar 

  43. Roehling TT, Shi R, Khairallah SA, Roehling JD, Guss GM, McKeown JT, Matthews MJ (2020) Controlling grain nucleation and morphology by laser beam shaping in metal additive manufacturing. Mater Des 195:109071. https://doi.org/10.1016/j.matdes.2020.109071

    Article  Google Scholar 

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Funding

This work was partially funded by NASA through Grant Number 80NSSC20K0736 and supported by California State University, Los Angeles.

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All authors contributed to the study conception and design. Data collection, analysis, and first draft preparation were performed by Jonathan Yoshioka. Supervision, review, and editing were performed by Mohsen Eshraghi. All authors read and approved the final manuscript.

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Correspondence to Mohsen Eshraghi.

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Yoshioka, J., Eshraghi, M. Temporal evolution of temperature gradient and solidification rate in laser powder bed fusion additive manufacturing. Heat Mass Transfer 59, 1155–1166 (2023). https://doi.org/10.1007/s00231-022-03318-8

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