Abstract
The Interdependence model is now widely used to analyze the results of grain refinement studies. Although the model was developed to predict the grain size of an alloy cast under the assumptions of near equilibrium solidification and the presence of potent nucleant particles, it has been found to be applicable to a wide variety of alloys, casting methods, and cooling conditions. However, the strength of the Interdependence model is when it is used as a diagnostic tool that can reveal the mechanisms influencing the refinement of alloys under particular solidification conditions. This paper presents an introduction to the Interdependence model, its recent validation by experiment, and examples of how it can be applied to the solidification of alloys during additive manufacturing. For example, the model explains the difficulties in promoting a transition from columnar to equiaxed grains during additive manufacturing while also providing insights into how a fully equiaxed grain structure can be achieved.
This is a preview of subscription content, access via your institution.
References
W. Kurz and D.J. Fisher, Fundamentals of solidification, 4th ed. (Zurich: Trans Tech Publications Ltd, 1998).
G.J. Marshall, W.J. Young, S.M. Thompson, N. Shamsaei, S.R. Daniewicz, and S. Shao, JOM 68, 778 (2016).
S. Bontha, N.W. Klingbeil, P.A. Kobryn, and H.L. Fraser, Mater. Sci. Eng. A 513–514, 311 (2009).
M.J. Bermingham, D.H. StJohn, J. Krynen, S. Tedman-Jones, and M.S. Dargusch, Acta Mater. 168, 261 (2019).
T. DebRoy, H.L. Wei, J.S. Zuback, T. Mukherjee, J.W. Elmer, J.O. Milewski, A.M. Beese, A. Wilson-Heid, A. De, and W. Zhang, Prog. Mater Sci. 92, 112 (2018).
X. Lin, T.M. Yue, H.O. Yang, and W.D. Huang, Metall. Mater. Trans. A 38, 127 (2007).
D.H. StJohn, M. Qian, M.A. Easton, and P. Cao, Acta Mater. 59, 4907 (2011).
M.A. Easton and D.H. StJohn, Acta Mater. 49, 1867 (2001).
D. Shu, B. Sun, J. Mi, and P.S. Grant, Acta Mater. 59, 2135 (2011).
Q. Du and Y. Li, Acta Mater. 71, 380 (2014).
Y. Xu, D. Casari, R.H. Mathiesen, and Y. Li, Acta Mater. 149, 312 (2018).
A.L. Greer, A.M. Bunn, A. Tronche, P.V. Evans, and D.J. Bristow, Acta Mater. 48, 2823 (2000).
Y. Jia, H. Huang, Y. Fu, G. Zhu, D. Shu, B. Sun, and D.H. StJohn, Scr. Mater. 167, 6 (2019).
E. Liotti, C. Arteta, A. Zisserman, A. Lui, V. Lempitsky, and P.S. Grant, Sci. Adv. 4, eaar4004 (2018).
A. Prasad, S.D. McDonald, H. Yasuda, K. Nogita, and D.H. StJohn, J. Cryst. Growth 430, 122 (2015).
L. Yuan, A. Prasad, P.D. Lee, and D. StJohn, IOP Conf. Ser. Mater. Sci. Eng. 529, 012043 (2019).
A. Prasad, E. Liotti, S.D. McDonald, K. Nogita, H. Yasuda, P.S. Grant, and D.H. StJohn, IOP Conf. Ser. Mater. Sci. Eng. 84, 012014 (2015).
E. Guo, S. Shuai, D. Kazantsev, S. Karagadde, A.B. Phillion, T. Jing, W. Li, and P.D. Lee, Acta Mater. 152, 127 (2018).
C. Cao, G. Yao, L. Jiang, M. Sokoluk, X. Wang, J. Ciston, A. Javadi, Z. Guan, I. De Rosa, W. Xie, E.J. Lavernia, J.M. Schoenung, and X. Li, Sci. Adv. 5, eaaw2398 (2019).
D.H. St John, S.D. McDonald, M.J. Bermingham, S. Mereddy, A. Prasad, and M. Dargusch, Key Eng. Mater. 770, 155 (2018).
M.J. Bermingham, S.D. McDonald, M.S. Dargusch, and D.H. StJohn, J. Mater. Res. 23, 98 (2008).
M.A. Easton and D.H. St. John, Metall. Mater. Trans. A 30A, 1613 (1999).
M. Li, J.-M. Li, Q. Zheng, G. Wang, and M.-X. Zhang, Metall. Mater. Trans. A 49, 2235 (2018).
M.J. Bermingham, S.D. McDonald, D.H. StJohn, and M.S. Dargusch, J. Mater. Res. 26, 951 (2011).
S. Mantri, T. Alam, D. Choudhuri, C. Yannetta, C. Mikler, P. Collins, and R. Banerjee, J. Mater. Sci. 52, 12455 (2017).
A. Xue, X. Lin, L. Wang, J. Wang, and W. Huang, Mater. Des. 181, 107943 (2019).
K. Zhang, X. Tian, M. Bermingham, J. Rao, Q. Jia, Y. Zhu, X. Wu, S. Cao, and A. Huang, Mater. Des. 184, 108191 (2019).
S. Mereddy, M.J. Bermingham, D. Kent, A. Dehghan-Manshadi, D.H. StJohn, and M.S. Dargusch, JOM 70, 1670 (2018).
M.Y. Mendoza, P. Samimi, D.A. Brice, B.W. Martin, M.R. Rolchigo, R. LeSar, and P.C. Collins, Metall. Mater. Trans. A 48, 3594 (2017).
D. Zhang, D. Qiu, M.A. Gibson, Y. Zheng, H.L. Fraser, D.H. St John, and M.A. Easton, Nature 576, 91 (2019).
M.J. Bermingham, D. Kent, H. Zhan, D.H. St John, and M.S. Dargusch, Acta Mater. 91, 289 (2015).
M.J. Bermingham, S.D. McDonald, and M.S. Dargusch, Mater. Sci. Eng. A 719, 1 (2018).
S. Tedman-Jones, S. McDonald, M. Bermingham, D. StJohn, and M. Dargusch, J. Alloys Compd. 794, 268 (2019).
T. Wang, Y.Y. Zhu, S.Q. Zhang, H.B. Tang, and H.M. Wang, J. Alloys Compd. 632, 505 (2015).
Q. Zhang, J. Chen, X. Lin, H. Tan, and W.D. Huang, J. Mater. Proc. Tech. 238, 202 (2016).
D. Carluccio, M. Bermingham, Y. Zhang, D. StJohn, K. Yang, P. Rometsch, X. Wu, and M. Dargusch, J. Man. Proc. 35, 715 (2018).
L. Xi, P. Wang, K.G. Prashanth, H. Li, H.V. Prykhodko, S. Scudino, and I. Kaban, J. Alloys Compd. 786, 551 (2019).
X.P. Li, G. Ji, Z. Chen, A. Addad, Y. Wu, H.W. Wang, J. Vleugels, J. Van Humbeeck, and J.P. Kruth, Acta Mater. 129, 183 (2017).
D. Gu, H. Wang, D. Dai, P. Yuan, W. Meiners, and R. Poprawe, Scr. Mater. 96, 25 (2015).
J.H. Martin, B.D. Yahata, J.M. Hundley, J.A. Mayer, T.A. Schaedler, and T.M. Pollock, Nature 549, 365 (2017).
F. Zhang, M. Yang, A.T. Clare, X. Lin, H. Tan, and Y. Chen, J. Alloys Compd. 727, 821 (2017).
L. Yuan and P.D. Lee, Acta Mater. 60, 4917 (2012).
H.B. Dong and P.D. Lee, Acta Mater. 53, 659 (2005).
M. Sun, D.H. StJohn, M.A. Easton, K. Wang, and J. Ni, Metall. Mater. Trans. A (2019). https://doi.org/10.1007/s11661-019-05497-2.
Acknowledgements
The authors would like to acknowledge support of the University of Queensland’s School of Mechanical and Mining Engineering and the Queensland Centre for Advanced Materials processing and Manufacturing. M.B. acknowledges the support of the Australian Research Council Discovery Program and is in receipt of a Discover Early Career Researcher Award (DE160100260). M.B, D.StJ., M.E., and M.D. acknowledge the support of the Australian Research Council Research Hub for Advanced Manufacturing of Medical Devices (IH150100024). M.E. and D.StJ. acknowledge support from DP160100560.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Bermingham, M., StJohn, D., Easton, M. et al. Revealing the Mechanisms of Grain Nucleation and Formation During Additive Manufacturing. JOM 72, 1065–1073 (2020). https://doi.org/10.1007/s11837-020-04019-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11837-020-04019-5