Machine learning for phase selection in multi-principal element alloys

Abstract Multi-principal element alloys (MPEAs) especially high entropy alloys have attracted significant attention and resulted in a novel concept of designing metal alloys via exploring the wide composition space. Abundant experimental data of MPEAs are available to show connections between elemental properties and the resulting phases such as single-phase solid solution, amorphous, intermetallic compounds. To gain insights of designing MPEAs, here we employ neural network (NN) in the machine learning framework to recognize the underlying data pattern using an experimental dataset to classify the corresponding phase selection in MPEAs. For the full dataset, our trained NN model reaches an accuracy of over 99%, meaning that more than 99% of the phases in the MPEAs are correctly labeled. Furthermore, the trained NN parameters suggest that the valence electron concentration plays the most dominant role in determining the ensuing phases. For the cross-validation training and testing datasets, we obtain an average generalization accuracy of higher than 80%. Our trained NN model can be extended to classify different phases in numerous other MPEAs.

[1]  Alok Choudhary,et al.  A General-Purpose Machine Learning Framework for Predicting Properties of Inorganic Materials , 2016 .

[2]  Bernd Gludovatz,et al.  Exceptional damage-tolerance of a medium-entropy alloy CrCoNi at cryogenic temperatures , 2016, Nature Communications.

[3]  U. Mizutani Hume-Rothery rules for structurally complex alloy phases , 2010 .

[4]  Tim Mueller,et al.  Machine Learning in Materials Science , 2016 .

[5]  T. Pollock,et al.  Alloy design for aircraft engines. , 2016, Nature materials.

[6]  O. Inal,et al.  Crystallization behavior of amorphous Ni50Nb50 on continuous heating , 1983 .

[7]  Chiho Kim,et al.  Machine learning in materials informatics: recent applications and prospects , 2017, npj Computational Materials.

[8]  John D. Kelleher,et al.  Fundamentals of Machine Learning for Predictive Data Analytics: Algorithms, Worked Examples, and Case Studies , 2015 .

[9]  Sheng Guo,et al.  Phase selection rules for cast high entropy alloys: an overview , 2015 .

[10]  C. J. Smithells,et al.  Smithells metals reference book , 1949 .

[11]  Wei Chen,et al.  A Statistical Learning Framework for Materials Science: Application to Elastic Moduli of k-nary Inorganic Polycrystalline Compounds , 2016, Scientific Reports.

[12]  Yong Zhang,et al.  Prediction of high-entropy stabilized solid-solution in multi-component alloys , 2012 .

[13]  Ryo Kobayashi,et al.  Neural network potential for Al-Mg-Si alloys , 2017 .

[14]  M. S. Ozerdem,et al.  Artificial neural network approach to predict the mechanical properties of Cu–Sn–Pb–Zn–Ni cast alloys , 2009 .

[15]  P. Liaw,et al.  Solid‐Solution Phase Formation Rules for Multi‐component Alloys , 2008 .

[16]  Christopher M. Bishop,et al.  Pattern Recognition and Machine Learning (Information Science and Statistics) , 2006 .

[17]  Yoshua Bengio,et al.  Gradient-based learning applied to document recognition , 1998, Proc. IEEE.

[18]  T. Shun,et al.  Nanostructured High‐Entropy Alloys with Multiple Principal Elements: Novel Alloy Design Concepts and Outcomes , 2004 .

[19]  Kevin P. Murphy,et al.  Machine learning - a probabilistic perspective , 2012, Adaptive computation and machine learning series.

[20]  Akira Takeuchi,et al.  Classification of Bulk Metallic Glasses by Atomic Size Difference, Heat of Mixing and Period of Constituent Elements and Its Application to Characterization of the Main Alloying Element , 2005 .

[21]  Christopher M Wolverton,et al.  Atomistic calculations and materials informatics: A review , 2017 .

[22]  Wei Chen,et al.  Predicting defect behavior in B2 intermetallics by merging ab initio modeling and machine learning , 2016, npj Computational Materials.

[23]  Jian Lu,et al.  High-entropy alloy: challenges and prospects , 2016 .

[24]  J. Yeh,et al.  Phase Selection in High-Entropy Alloys , 2014 .

[25]  K. Dahmen,et al.  Microstructures and properties of high-entropy alloys , 2014 .

[26]  C. Liu,et al.  Phase stability in high entropy alloys: Formation of solid-solution phase or amorphous phase , 2011 .

[27]  B. Cantor,et al.  Microstructural development in equiatomic multicomponent alloys , 2004 .

[28]  Zhongyi Liu,et al.  Effect of elemental interaction on microstructure of CuCrFeNiMn high entropy alloy system , 2010 .

[29]  D. Miracle,et al.  A critical review of high entropy alloys and related concepts , 2016 .

[30]  Yiming Zhang,et al.  Revisiting Hume-Rothery’s Rules with artificial neural networks , 2008 .