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Abstract
Refractory high-entropy alloys (RHEAs) represent a promising class of structural materials with significant potential for various applications. However, their limited plasticity at room temperature restricts their deformability, posing challenges for processing and industrial implementation. Traditional experimental methods for characterizing this property are time-consuming and resource-intensive, necessitating the development of efficient predictive models. In this study, we propose a machine learning approach to predict the fracture strain of RHEAs. A dataset comprising 128 RHEAs fracture strain samples is compiled from the literature and classified into two categories: “high plasticity” and “low plasticity.” Through feature selection techniques, a critical subset of features is identified, enabling a support vector classification model to achieve 96% prediction accuracy. Additionally, an interpretable machine learning algorithm is employed to derive explicit functional expressions describing the relationship between key features and fracture strain, achieving 88% accuracy. Although slightly less accurate, it provides valuable insights into the underlying mechanisms, making it a useful tool for materials design and optimization.
Keywords
interpretability
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machine learning
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plasticity classification
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refractory high-entropy alloys
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Shang Zhao, Jinshan Li, Weijie Liao, Ruihao Yuan.
Machine learning-guided plasticity model in refractory high-entropy alloys.
Materials Genome Engineering Advances, 2025, 3(2): e70022 DOI:10.1002/mgea.70022
| [1] |
Miracle DB, Senkov ON. A critical review of high entropy alloys and related concepts. Acta Mater. 2017; 122: 448-511.
|
| [2] |
George EP, Raabe D, Ritchie RO. High-entropy alloys. Nat Rev Mater. 2019; 4(8): 515-534.
|
| [3] |
George EP, Curtin WA, Tasan CC. High entropy alloys: a focused review of mechanical properties and deformation mechanisms. Acta Mater. 2020; 188: 435-474.
|
| [4] |
Niu M, Qiu S, Yu Q, et al. Achieving excellent elevated-temperature mechanical properties in dual-phase high-entropy alloys via nanoscale co-precipitation and heterostructure engineering. Acta Mater. 2025; 284:120634.
|
| [5] |
An Z, Mao S, Vayyala A, et al. Multiscale hierarchical heterostructure yields combined high strength and excellent ductility in a Co-Cr-Fe-Ni-Al negative enthalpy alloy. Acta Mater. 2024; 281:120366.
|
| [6] |
Li Z, Pradeep KG, Deng Y, Raabe D, Tasan CC. Metastable high-entropy dual-phase alloys overcome the strength–ductility trade-off. Nature. 2016; 534(7606): 227-230.
|
| [7] |
Li Z, Ma S, Zhao S, et al. Achieving superb strength in single-phase FCC alloys via maximizing volume misfit. Mater Today. 2023; 63: 108-119.
|
| [8] |
Han L, Maccari F, Souza Filho IR, et al. A mechanically strong and ductile soft magnet with extremely low coercivity. Nature. 2022; 608(7922): 310-316.
|
| [9] |
Chen S, Qiao J, Diao H, et al. Extraordinary creep resistance in a non-equiatomic high-entropy alloy from the optimum solid-solution strengthening and stress-assisted precipitation process. Acta Mater. 2023; 244:118600.
|
| [10] |
Zhang H, Meng H, Meng F, et al. Magnificent tensile strength and ductility synergy in a NiCoCrAlTi high-entropy alloy at elevated temperature. J Mater Res Technol. 2024; 28: 522-532.
|
| [11] |
Lee C, Chou Y, Kim G, et al. Lattice-distortion-Enhanced yield strength in a refractory high-entropy alloy. Adv Mater. 2020; 32(49):2004029.
|
| [12] |
Senkov ON, Wilks GB, Miracle DB, Chuang C, Liaw P. Refractory high-entropy alloys. Intermetallics. 2010; 18(9): 1758-1765.
|
| [13] |
Lee C, Kim G, Chou Y, et al. Temperature dependence of elastic and plastic deformation behavior of a refractory high-entropy alloy. Sci Adv. 2020; 6(37):eaaz4748.
|
| [14] |
Feng R, Feng B, Gao MC, et al. Superior high-temperature strength in a supersaturated refractory high-entropy alloy. Adv Mater. 2021; 33(48):2102401.
|
| [15] |
Senkov ON, Wilks GB, Scott JM, Miracle D. Mechanical properties of Nb25Mo25Ta25W25 and V20Nb20Mo20Ta20W20 refractory high entropy alloys. Intermetallics. 2011; 19(5): 698-706.
|
| [16] |
Sheikh S, Shafeie S, Hu Q, et al. Alloy design for intrinsically ductile refractory high-entropy alloys. J Appl Phys. 2016; 120(16):164902.
|
| [17] |
Qi L, Chrzan D. Tuning ideal tensile strengths and intrinsic ductility of bcc refractory alloys. Phys Rev Lett. 2014; 112(11):115503.
|
| [18] |
Singh P, Vela B, Ouyang G, et al. A ductility metric for refractory-based multi-principal-element alloys. Acta Mater. 2023; 257:119104.
|
| [19] |
Hou S, Sun M, Bai M, Lin D, Li Y, Liu W. A hybrid prediction frame for HEAs based on empirical knowledge and machine learning. Acta Mater. 2022; 228:117742.
|
| [20] |
Wen C, Zhang Y, Wang C, et al. Machine learning assisted design of high entropy alloys with desired property. Acta Mater. 2019; 170: 109-117.
|
| [21] |
Brown P, Zhuang H. Quantum machine-learning phase prediction of high-entropy alloys. Mater Today. 2023; 63: 18-31.
|
| [22] |
Ren D, Wang C, Wei X, Lai Q, Xu W. Building a quantitative composition-microstructure-property relationship of dual-phase steels via multimodal data mining. Acta Mater. 2023; 252:118954.
|
| [23] |
Yang C, Ren C, Jia Y, Wang G, Li M, Lu W. A machine learning-based alloy design system to facilitate the rational design of high entropy alloys with enhanced hardness. Acta Mater. 2022; 222:117431.
|
| [24] |
Wang L, Ouyang B. Phase selection rules of multi-principal element alloys. Adv Mater. 2024; 36(16):2307860.
|
| [25] |
Liu Z, Rolston N, Flick AC, et al. Machine learning with knowledge constraints for process optimization of open-air perovskite solar cell manufacturing. Joule. 2022; 6(4): 834-849.
|
| [26] |
Rao Z, Tung PY, Xie R, et al. Machine learning-enabled high-entropy alloy discovery. Science. 2022; 378(6615): 78-85.
|
| [27] |
Shargh AK, Stiles CD, El-Awady JA. Deep learning accelerated phase prediction of refractory multi-principal element alloys. Acta Mater. 2025; 283:120558.
|
| [28] |
Catal AA, Bedir E, Yilmaz R, et al. Machine learning assisted design of novel refractory high entropy alloys with enhanced mechanical properties. Comput Mater Sci. 2024; 231:112612.
|
| [29] |
He J, Li Z, Lin J, et al. Machine learning-assisted design of refractory high-entropy alloys with targeted yield strength and fracture strain. Mater Des. 2024; 246:113326.
|
| [30] |
Esterhuizen JA, Goldsmith BR, Linic S. Interpretable machine learning for knowledge generation in heterogeneous catalysis. Nat Catal. 2022; 5(3): 175-184.
|
| [31] |
Ouyang R, Curtarolo S, Ahmetcik E, Scheffler M, Ghiringhelli LM. SISSO: a compressed-sensing method for identifying the best low-dimensional descriptor in an immensity of offered candidates. Phys Rev Mater. 2018; 2(8):083802.
|
| [32] |
Borg CKH, Frey C, Moh J, et al. Expanded dataset of mechanical properties and observed phases of multi-principal element alloys. Sci Data. 2020; 7(1):430.
|
| [33] |
Li T, Jiao W, Miao J, et al. A novel ZrNbMoTaW refractory high-entropy alloy with in-situ forming heterogeneous structure. Mater Sci Eng A. 2021; 827:142061.
|
| [34] |
Jung Y, Lee K, Hong SJ, et al. Investigation of phase-transformation path in TiZrHf(VNbTa)x refractory high-entropy alloys and its effect on mechanical property. J Alloys Compd. 2021; 886:161187.
|
| [35] |
Xu L, Chen Z, Zheng Y, et al. Deformation behavior and microstructure evolution of as-cast Ti2ZrMo0.5Nb0.5 high entropy alloy. J Mater Res Technol. 2021; 13: 2469-2481.
|
| [36] |
Wei Q, Zhang A, Han J, et al. Development of a Ti30Hf20Nb20Ta10V10Mo7W3 refractory high entropy alloy with excellent mechanical properties and wear resistance. J Alloys Compd. 2023; 966:171571.
|
| [37] |
Huang W, Wang X, Qiao J, Wu Y. Microstructures and mechanical properties of TiZrHfNbTaWx refractory high entropy alloys. J Alloys Compd. 2022; 914:165187.
|
| [38] |
Li T, Miao J, Lu Y, Wang T. Effect of Zr on the as-cast microstructure and mechanical properties of lightweight Ti2VNbMoZrx refractory high-entropy alloys. Int J Refract Metals Hard Mater. 2022; 103:105762.
|
| [39] |
Ouyang G, Singh P, Su R, et al. Design of refractory multi-principal-element alloys for high-temperature applications. npj Comput Mater. 2023; 9(1):141.
|
| [40] |
Wang X, Zhang Y-T, Liu P-C, et al. Ductile-to-brittle transition and materials' resistance to amorphization by irradiation damage. RSC Adv. 2016; 6(50): 44561-44568.
|
| [41] |
Zhang Y, Wen C, Wang C, et al. Phase prediction in high entropy alloys with a rational selection of materials descriptors and machine learning models. Acta Mater. 2020; 185: 528-539.
|
| [42] |
Xiong J, Shi SQ, Zhang TY. Machine learning of phases and mechanical properties in complex concentrated alloys. J Mater Sci Technol. 2021; 87: 133-142.
|
| [43] |
Huang W, Martin P, Zhuang HL. Machine-learning phase prediction of high-entropy alloys. Acta Mater. 2019; 169: 225-236.
|
| [44] |
van der Maaten L, Hinton G. Visualizing data using t-SNE. J Mach Learn Res. 2008; 9(11): 2579-2605.
|
| [45] |
Lundberg SM, Lee S-I. A unified approach to interpreting model predictions. In: Advances in neural information processing systems; 2017: 30.
|
| [46] |
Pettifor D. Theoretical predictions of structure and related properties of intermetallics. Mater Sci Technol. 1992; 8(4): 345-349.
|
| [47] |
Mizutani U. The Hume-Rothery rules for structurally complex alloy phases. In: Surface properties and engineering of complex intermetallics. World Scientific; 2010: 323-399.
|
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2025 The Author(s). Materials Genome Engineering Advances published by Wiley-VCH GmbH on behalf of University of Science and Technology Beijing.