Abstract
Machine learning with artificial neural network (ANN)-based methods is a powerful tool for the prediction and exploitation of the subtle relationships between the composition and properties of materials. This work utilizes an ANN to predict the composition of high-entropy alloys (HEAs) based on non-equimolar AlCoCrFeMnNi in order to achieve the highest hardness in the system. A simulated annealing algorithm is integrated with the ANN to optimize the composition. A bootstrap approach is adopted to quantify the uncertainty of the prediction. Without any guidance, the design of new compositions of AlCoCrFeMnNi-based HEAs would be difficult by empirical methods. This work successfully demonstrates that, by applying the machine learning method, new compositions of AlCoCrFeMnNi-based HEAs can be obtained, exhibiting hardness values higher than the best literature value for the same alloy system. The correlations between the predicted composition, hardness, and microstructure are also discussed.
Similar content being viewed by others
References
J.W. Yeh, S.K. Chen, S.J. Lin, J.Y. Gan, T.S. Chin, T.T. Shun, C.H. Tsau, and S.Y. Chang, Adv. Eng. Mater. 6, 299 (2004).
B. Cantor, I. Chang, P. Knight, and A. Vincent, Mater. Sci. Eng. A 375, 213 (2004).
S. Gorsse, M.H. Nguyen, O.N. Senkov, and D.B. Miracle, Data Brief 21, 2664 (2018).
D. Miracle and O. Senkov, Acta Mater. 122, 448 (2017).
B. Gludovatz, A. Hohenwarter, D. Catoor, E.H. Chang, E.P. George, and R.O. Ritchie, Science 345, 1153 (2014).
Z. Wu, H. Bei, G.M. Pharr, and E.P. George, Acta Mater. 81, 428 (2014).
O.N. Senkov, J.M. Scott, S.V. Senkova, F. Meisenkothen, D.B. Miracle, and C.F. Woodward, J. Mater. Sci. 47, 4062 (2012).
O.N. Senkov, S.V. Senkova, D.B. Miracle, and C. Woodward, Mater. Sci. Eng. A 565, 51 (2013).
H. Daoud, A. Manzoni, N. Wanderka, and U. Glatzel, JOM 67, 2271 (2015).
Q. Wang, Y. Ma, B. Jiang, X. Li, Y. Shi, C. Dong, and P.K. Liaw, Scr. Mater. 120, 85 (2016).
J.O. Andersson, T. Helander, L. Höglund, P. Shi, and B. Sundman, Calphad 26, 273 (2002).
S.L. Chen, S. Daniel, F. Zhang, Y.A. Chang, X.Y. Yan, F.Y. Xie, R. Schmid-Fetzer, and W.A. Oates, Calphad 26, 175 (2002).
W.R. Wang, W.L. Wang, S.C. Wang, Y.C. Tsai, C.H. Lai, and J.W. Yeh, Intermetallics 26, 44 (2012).
C.J. Tong, M.R. Chen, J.W. Yeh, S.J. Lin, S.K. Chen, T.T. Shun, and S.Y. Chang, Metall. Mater. Trans. A 36, 1263 (2005).
J.M. Zhu, H.M. Fu, H.F. Zhang, A.M. Wang, H. Li, and Z.Q. Hu, Mater. Sci. Eng. A 527, 6975 (2010).
X. Yang and Y. Zhang, Mater. Chem. Phys. 132, 233 (2012).
M.G. Poletti and L. Battezzati, Acta Mater. 75, 297 (2014).
M.H. Tsai, K.Y. Tsai, C.W. Tsai, C. Lee, C.C. Juan, and J.W. Yeh, Mater. Res. Lett. 1, 207 (2013).
H.L. Chen, H. Mao, and Q. Chen, Mater. Chem. Phys. 210, 279 (2018).
T.-C. Software, TCS High Entropy Alloys Database v3 (2019). https://www.thermocalc.com/media/54070/tchea3_extended_info.pdf.
C. LLC, PanHEA—Thermodynamic database for multi-component high entropy alloys (2019). http://www.computherm.com/index.php?route=product/product&path=59_83&product_id=59.
B.D. Conduit, N.G. Jones, H.J. Stone, and G.J. Conduit, Mater. Des. 131, 358 (2017).
R. Ramprasad, R. Batra, G. Pilania, A. Mannodi-Kanakkithodi, and C. Kim, NPJ Comput. Mater. 3, 54 (2017).
B. Conduit, N.G. Jones, H.J. Stone, and G.J. Conduit, Scr. Mater. 146, 82 (2018).
E. Menou, F. Tancret, I. Toda-Caraballo, G. Ramstein, P. Castany, E. Bertrand, N. Gautier, and P.E.J.R. Díaz-Del, Scr. Mater. 156, 120 (2018).
N. Islam, W. Huang, and H.L. Zhuang, Comput. Mater. Sci. 150, 230 (2018).
C. Wen, Y. Zhang, C. Wang, D. Xue, Y. Bai, S. Antonov, L. Dai, T. Lookman, and Y. Su, Acta Mater. 170, 109 (2019).
F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, and V. Dubourg, J. Mach. Learn. Res. 12, 2825 (2011).
A. Furmanchuk, A. Agrawal, and A. Choudhary, RSC Adv. 6, 95246 (2016).
M. De Jong, W. Chen, R. Notestine, K. Persson, G. Ceder, A. Jain, M. Asta, and A. Gamst, Sci. Rep. 6, 34256 (2016).
G. Papadopoulos, P.J. Edwards, and A.F. Murray, IEEE Trans. Neural Netw. 12, 1278 (2001).
D. Xue, P.V. Balachandran, J. Hogden, J. Theiler, D. Xue, and T. Lookman, Nat. Commun. 7, 11241 (2016).
R.M. Pohan, B. Gwalani, J. Lee, T. Alam, J. Hwang, H.J. Ryu, R. Banerjee, and S.H. Hong, Mater. Chem. Phys. 210, 62 (2018).
J. He, W. Liu, H. Wang, Y. Wu, X. Liu, T. Nieh, and Z. Lu, Acta Mater. 62, 105 (2014).
Y. Dong, Y. Lu, J. Kong, J. Zhang, and T. Li, J. Alloys Compd. 573, 96 (2013).
T.T. Shun, L.Y. Chang, and M.H. Shiu, Mater. Charact. 70, 63 (2012).
T.T. Zuo, R.B. Li, X.J. Ren, and Y. Zhang, J. Magn. Magn. Mater. 371, 60 (2014).
Y.F. Kao, T.J. Chen, S.K. Chen, and J.W. Yeh, J. Alloys Compd. 488, 57 (2009).
Z. Wang, M. Gao, S. Ma, H. Yang, Z. Wang, M. Ziomek-Moroz, and J. Qiao, Mater. Sci. Eng. A 645, 163 (2015).
C.M. Lin and H.L. Tsai, Intermetallics 19, 288 (2011).
S. Ma and Y. Zhang, Mater. Sci. Eng. A 532, 480 (2012).
C. Li, J. Li, M. Zhao, and Q. Jiang, J. Alloys Compd. 475, 752 (2009).
N. Stepanov, D. Shaysultanov, G. Salishchev, M. Tikhonovsky, E. Oleynik, A. Tortika, and O. Senkov, J. Alloys Compd. 628, 170 (2015).
S.T. Chen, W.Y. Tang, Y.F. Kuo, S.Y. Chen, C.H. Tsau, T.T. Shun, and J.W. Yeh, Mater. Sci. Eng. A 527, 5818 (2010).
B.C. Wilson, J.A. Hickman, and G.E. Fuchs, JOM 55, 35 (2003).
A. Takeuchi and A. Inoue, Mater. Trans. 46, 2817 (2005).
A. Ardell, Metall. Trans. A 16, 2131 (1985).
Z. Tang, M.C. Gao, H. Diao, T. Yang, J. Liu, T. Zuo, Y. Zhang, Z. Lu, Y. Cheng, Y. Zhang, K.A. Dahmen, P.K. Liaw, and T. Egami, JOM 65, 1848 (2013).
Acknowledgements
The authors would like to acknowledge support from the Ministry of Science and Technology (MOST) in Taiwan (Projects MOST106-2923-E-007 -002 -MY2, MOST107-2218-E-007 -012 and MOST107-2221-E-492 -011 -MY3), and the “High Entropy Materials Center” from The Featured Areas Research Center Program within the framework of the Higher Education Sprout Project by the Ministry of Education (MOE) and from the Project MOST 107-3017-F-007-003 by MOST.
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.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Chang, YJ., Jui, CY., Lee, WJ. et al. Prediction of the Composition and Hardness of High-Entropy Alloys by Machine Learning. JOM 71, 3433–3442 (2019). https://doi.org/10.1007/s11837-019-03704-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11837-019-03704-4