J. Mater. Sci. Technol. ›› 2026, Vol. 256: 178-192.DOI: 10.1016/j.jmst.2025.07.070

• Research Article • Previous Articles     Next Articles

Achieving interpretable and efficient design of lightweight multi-principal element alloys via machine learning with optimized strengthening-toughening models

Xutao Lia,b,1, Zheng Lib,c,1, Zhichao Mengb,d, Weiji Laie, Li Kanga,*, Dingxin Liuc,*, Hao Wangd, Xiaowei Zuob,*   

  1. aSchool of Materials Science & Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China;
    bDongguan Key Laboratory of Interdisciplinary Science for Advanced Materials and Large-scale ScientificFacilities, School of Physical Sciences, Great Bay University, and Great Bay Institute for Advanced Study, Dongguan 523000, China;
    cState Key Laboratory of Optoelectronic Materials and Technologies, Nanotechnology Research Center, School of Materials Science & Engineering, Sun Yat-sen University, Guangzhou 510275, China;
    dShi-changxu Innovation Center for Advanced Materials, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China;
    eSinomach Heavy Equipment Group Co., Ltd., Deyang 618000, China
  • Received:2025-06-09 Revised:2025-07-31 Accepted:2025-07-31 Published:2026-06-10 Online:2025-09-08
  • Contact: *E-mail addresses: 2009011@tyust.edu.cn (L. Kang), liudx9@mail.sysu.edu.cn (D. Liu), zuoxw@gbu.edu.cn (X. Zuo)
  • About author:1These authors equally contributed to this work.

Abstract: Body-centered cubic multi-principal element alloys (BCC MPEAs) face inherent strength-ductility trade-offs. Given their vast compositional space, identifying key factors governing strength and ductility, as well as developing novel strengthening-toughening models to accelerate the property-oriented design, remains an outstanding challenge. Here, we developed an interpretable machine learning (ML) framework for BCC MPEAs to identify the key factors governing yield strength (YS) and fracture elongation (FE). The results demonstrate that FE mainly arises from the synergistic effects of multiple factors (electronegativity difference Δχpauling, valence electron concentration VEC, and density ρ), while average shear modulus mismatch δGave is the dominant factor controlling YS. Using these screened features as inputs, we propose optimized YS and FE models that achieve high predictive accuracy (YS: R2=0.96, FE: R2=0.84) and outperform existing models. By transforming these ML insights into strengthening/toughening theories via feature-to-mechanical performance/element property mapping, we designed three novel Ti-Zr-based BCC MPEAs with exceptional properties: YS of 1.07-1.16 GPa, FE of 16.6 %-24.5 %, and specific yield strength of ∼170 MPa cm3 g-1, surpassing most reported BCC MPEAs. This work not only provides a data-driven strategy to overcome the strength-ductility trade-off in BCC MPEAs but also establishes interpretable design principles for accelerating the discovery of advanced structural materials.

Key words: Multi-principal element alloys, Body-centered cubic, Machine learning, Mechanical properties