J. Mater. Sci. Technol. ›› 2025, Vol. 229: 252-268.DOI: 10.1016/j.jmst.2024.10.053

• Research article • Previous Articles     Next Articles

Developing softening-resistant Cu-Cr alloys and understanding their mechanisms via mechanism-informed interpretable machine learning

Muzhi Maa, Zhou Lia,b,*, Yuyuan Zhaoc, Shen Gonga, Qian Leib, Yanlin Jiaa, Wenting Qiua, Zhu Xiaoa,*, Yanbin Jianga,*, Xiandong Xud, Biaobiao Yange,f, Chenying Shie   

  1. aSchool of Materials Science and Engineering, Central South University, Changsha 410083, China;
    bState Key Laboratory of Powder Metallurgy, Central South University, Changsha 410083, China;
    cCollege of Mechanical and Automotive Engineering, Ningbo University of Technology, Ningbo 315211, China;
    dCollege of Materials Science and Engineering, Hunan University, Changsha 410082, China;
    eIMDEA Materials Institute, C/Eric Kandel 2, Getafe, Madrid 28906, Spain;
    fDepartment of Materials Science, Polytechnic University of Madrid/Universidad Politécnica de Madrid, E.T.S. de Ingenieros de Caminos, Madrid 28040, Spain
  • Received:2024-09-04 Revised:2024-10-18 Accepted:2024-10-20 Published:2025-09-10 Online:2025-01-03
  • Contact: *E-mail addresses: lizhou6931@163.com (Z. Li), xiaozhumse@qq.com (Z. Xiao), jiangyanbin@tsinghua.org.cn (Y. Jiang).

Abstract: Cu-Cr alloys are widely applied in electronic, aerospace and nuclear industries, due to their high strength and high conductivity. However, their terrible softening resistance limits wider applications. This paper presents a novel strategy of integrating mechanism features into interpretable machine learning (ML) to develop softening-resistant Cu-Cr alloys and to understand their mechanisms. First, the mechanism fea-tures were specially designed to describe mechanisms potentially vital to softening resistance, and they were obtained through first-principles calculations. Those mechanism features that described interfacial segregation and solute diffusion exhibited significant Gini importance during feature selection. Only inte-grated with them, did ML models achieve great performance, accurate predictions, and successful devel-opment of Cu-0.4Cr-0.10La/Ce (wt.%) alloys with excellent softening resistance. Then, the contributions of these mechanism features to the predictions were interpreted by a game theoretic approach, but unex-pectedly, they were not fully consistent with interpretations that we expected from mechanism features. Finally, investigation targeted at these inconsistencies gave novel insights into softening resistance mech-anisms. The Cu-Cr-La/Ce alloys' excellent softening resistance was not induced by a prevailing mechanism of La/Ce atoms segregating at phase interfaces, nor by an expected mechanism of La/Ce atoms improv-ing the Cr atom jump energy barriers. Instead, it was caused by a unique mechanism in which La/Ce atoms competed with Cr atoms for vacancies and therefore depleted the available vacancies for the Cr atom jump. This paper demonstrates a new paradigm of developing softening-resistant Cu-Cr alloys and understanding their mechanisms via mechanism-informed interpretable ML.

Key words: Copper alloys, Machine learning, Interfacial segregation, Solute diffusion