Abstract
Melting and solidification in metal-based additive manufacturing (AM) ultimately determine the crystallographic texture, cellular/columnar dendritic growth, solute segregation, and resultant materials properties. The microstructure of AM-built alloys is closely related to various physics during the printing process. In the present study, a multi-physics model was developed to simulate the evolution of grain and dendritic-scale microstructure during laser AM of a Ni-based alloy. Computational fluid dynamics was used to simulate the melt pool dynamics and temperature distribution for the laser powder bed fusion process. Using Ni-Nb as an analogue to Inconel 625, a phase field model was applied to predict the microstructural features within a two-dimensional solidified melt pool. The predicted results exhibit fair agreement with experimental characteristics in the literature, including melt pool profile, dendrite size, dendrite morphology, and crystallographic texture. The multi-physics model paves the way for computationally predicting the chemistry-process-structure relationship in AM-built alloys, which helps to understand the fundamental physics of AM solidification.
Similar content being viewed by others
References
T. DebRoy, H. Wei, J. Zuback, T. Mukherjee, J. Elmer, J. Milewski, A.M. Beese, A. Wilson-Heid, A. De, and W. Zhang, Prog. Mater. Sci. 92, 112. (2018).
T. DebRoy, T. Mukherjee, J. Milewski, J. Elmer, B. Ribic, J. Blecher, and W. Zhang, Nat. Mater. 18, 1026. (2019).
M.M. Francois, A. Sun, W.E. King, N.J. Henson, D. Tourret, C.A. Bronkhorst, N.N. Carlson, C.K. Newman, T.S. Haut, and J. Bakosi, Curr. Opin. Solid State Mater. Sci. 21, 198. (2017).
C. Körner, M. Markl, and J.A. Koepf, Metall. Mater. Trans. A. 51, 4970. (2020).
T.M. Rodgers, J.D. Madison, and V. Tikare, Comput. Mater. Sci. 135, 78. (2017).
H. Wei, J. Elmer, and T. DebRoy, Acta Mater. 126, 413. (2017).
Y. Lian, S. Lin, W. Yan, W.K. Liu, and G.J. Wagner, Comput. Mech. 61, 543. (2018).
B. Böttger, J. Eiken, and I. Steinbach, Acta Mater. 54, 2697. (2006).
R. Acharya, J.A. Sharon, and A. Staroselsky, Acta Mater. 124, 360. (2017).
S. Ghosh, L. Ma, N. Ofori-Opoku, and J.E. Guyer, Model. Simul. Mater. Sci. Eng. 25, 065002. (2017).
T. Keller, G. Lindwall, S. Ghosh, L. Ma, B.M. Lane, F. Zhang, U.R. Kattner, E.A. Lass, J.C. Heigel, and Y. Idell, Acta Mater. 139, 244–253. (2017).
X. Wang, P. Liu, Y. Ji, Y. Liu, M. Horstemeyer, and L. Chen, J. Mater. Eng. Perform. 28, 657–665. (2019).
W. Xiao, S. Li, C. Wang, Y. Shi, J. Mazumder, H. Xing, and L. Song, Mater. Des. 164, 107553. (2019).
J.D. Roehling, A. Perron, J.-L. Fattebert, T. Haxhimali, G. Guss, T.T. Li, D. Bober, A.W. Stokes, A.J. Clarke, and P.E. Turchi, JOM 70, 1589. (2018).
J. Kundin, A. Ramazani, U. Prahl, and C. Haase, Metall. Mater. Trans. A. 50, 2022. (2019).
K. Karayagiz, L. Johnson, R. Seede, V. Attari, B. Zhang, X. Huang, S. Ghosh, T. Duong, I. Karaman, and A. Elwany, Acta Mater. 185, 320. (2020).
S.A. Nabavizadeh, M. Eshraghi, and S.D. Felicelli, J. Cryst. Growth 549, 125879. (2020).
D. Montiel, L. Liu, L. Xiao, Y. Zhou, and N. Provatas, Acta Mater. 60, 5925. (2012).
A. Badillo, and C. Beckermann, Acta Mater. 54, 2015. (2006).
Z. Gan, Y. Lian, S.E. Lin, K.K. Jones, W.K. Liu, and G.J. Wagner, Integr. Mater. Manuf. Innov. 8, 178–193. (2019).
X. Lingda, Z. Guoli, M. Gaoyang, W. Chunming, and J. Ping, J. Alloys Compd. 858, 157669. (2021).
T. Pinomaa, and N. Provatas, Acta Mater. 168, 167. (2019).
P.I. O’Toole, M.J. Patel, C. Tang, D. Gunasegaram, A.B. Murphy, and I.S. Cole, Addit. Manuf. 48, 102353. (2021).
H. Jasak, A. Jemcov, and Z. Tukovic, International workshop on coupled methods in numerical dynamics (IUC Dubrovnik Croatia, Croatia, 2007), pp 1–20.
C. Tang, K. Le, and C. Wong, Int. J. Heat Mass Transf. 149, 119172. (2020).
C. Boley, S. Mitchell, A. Rubenchik, and S. Wu, Appl. Opt. 55, 6496. (2016).
A. Karma, Phys. Rev. Lett. 87, 115701. (2001).
B. Echebarria, R. Folch, A. Karma, and M. Plapp, Phys. Rev. E 70, 061604. (2004).
B. Echebarria, A. Karma, and S. Gurevich, Phys. Rev. E 81, 021608. (2010).
T. Takaki, M. Ohno, T. Shimokawabe, and T. Aoki, Acta Mater. 81, 272–283. (2014).
M. Tegeler, O. Shchyglo, R.D. Kamachali, A. Monas, I. Steinbach, and G. Sutmann, Comput. Phys. Commun. 215, 173–187. (2017).
S. Geng, P. Jiang, L. Guo, X. Gao, and G. Mi, Int. J. Heat Mass Transf. 149, 119252. (2020).
M. Rappaz, and C.-A. Gandin, Acta Metall. Mater. 41, 345. (1993).
X. Li, and W. Tan, Comput. Mater. Sci. 153, 159. (2018).
S. Ghosh, N. Ofori-Opoku, and J.E. Guyer, Comput. Mater. Sci. 144, 256. (2018).
S. Kavousi, and M.A. Zaeem, Acta Mater. 205, 116562. (2021).
M.R. Stoudt, M.E. Williams, L.E. Levine, A. Creuziger, S.A. Young, J.C. Heigel, B.M. Lane, and T.Q. Phan, Integr. Mater. Manuf. Innov. 9, 54–69. (2020).
Y. Lian, Z. Gan, C. Yu, D. Kats, W.K. Liu, and G.J. Wagner, Mater. Des. 169, 107672. (2019).
L. Levine, https://www.nist.gov/ambench/amb2018-02-description. Accessed 18 June 2018
S. Ghosh, L. Ma, L.E. Levine, R.E. Ricker, M.R. Stoudt, J.C. Heigel, and J.E. Guyer, JOM 70, 1011. (2018).
F. Yu, and Y. Wei, Metall. Mater. Trans. A. 49, 3293. (2018).
D. Tourret, and A. Karma, Acta Mater. 82, 64. (2015).
N. Ahmad, A. Wheeler, W.J. Boettinger, and G.B. McFadden, Phys. Rev. E 58, 3436. (1998).
Acknowledgements
The authors acknowledge the support by the National Research Foundation, Prime Minister’s Office, Singapore, under its Medium Sized centre funding scheme. The computational work for this article was partially performed on resources of the National Supercomputing Centre, Singapore (https://www.nscc.sg). Thanks are extended to Dr Patrick I. O’Toole and Dr. Milan J. Patel for the valuable discussions.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Supplementary file2 (AVI 17035 KB)
Supplementary file3 (AVI 29011 KB)
Supplementary file4 (AVI 10867 KB)
Supplementary file5 (AVI 12386 KB)
Rights and permissions
About this article
Cite this article
Tang, C., Du, H. Phase Field Modelling of Dendritic Solidification Under Additive Manufacturing Conditions. JOM 74, 2996–3009 (2022). https://doi.org/10.1007/s11837-022-05310-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11837-022-05310-3