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Acta Metall Sin  2026, Vol. 62 Issue (9): 1467-1477    DOI: 10.11900/0412.1961.2026.00138
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Microstructural Regulation and Strengthening-Toughening of High-Entropy Alloys Driven by Entropy-Enthalpy Synergy
LU Zhaoping(), LIU Xiongjun, WU Yuan, JIANG Suihe, LEI Zhifeng
State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing, Beijing 100083, China
Cite this article: 

LU Zhaoping, LIU Xiongjun, WU Yuan, JIANG Suihe, LEI Zhifeng. Microstructural Regulation and Strengthening-Toughening of High-Entropy Alloys Driven by Entropy-Enthalpy Synergy. Acta Metall Sin, 2026, 62(9): 1467-1477.

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Abstract  

High-entropy alloys (HEAs) have transcended the conventional solute-solvent alloy design paradigm and emerged as a promising materials platform to overcome the long-standing strength-ductility tradeoff in metallic materials. However, current studies on the strengthening and toughening of HEAs primarily focus on specific microstructural features or individual strengthening mechanisms, lacking a unified theoretical framework integrating alloy composition design, microstructural regulation, and deformation mechanisms. Based on a series of recent studies conducted by the authors and their collaborators, this study proposes and systematically develops the theory of entropy-enthalpy synergistic strengthening and toughening. This theory postulates that the superior mechanical performance of HEAs originates from their multiscale microstructures and cooperative deformation mechanisms, jointly governed by configurational entropy and chemical enthalpy. Building on this concept, a unified framework linking alloy composition design, microstructure development, deformation response, and strengthening-toughening performance is established. From the perspectives of atomic-scale local chemical ordering, nanoscale coherent precipitation, microscale metastability-induced phase transformation, and multiscale microstructural synergy, the strengthening and toughening mechanisms of HEAs are systematically summarized. Representative examples are further discussed to elucidate the similarities and distinctions between the strengthening-toughening mechanisms of HEAs and conventional alloys, thereby establishing a generalized design model for HEA strengthening and toughening.

Key words:  high-entropy alloy      entropy-enthalpy synergy      chemical short-range order      precipitation strengthening      transformation toughening      strengthening and toughening mechanisms     
Received:  21 May 2026     
ZTFLH:  TG146.2  
Fund: National Natural Science Foundation of China(52595633);National Natural Science Foundation of China(W2412068);National Natural Science Foundation of China(U2441262);National Natural Science Foundation of China(52225103);National Natural Science Foundation of China(52322102);National Key Research and Development Program of China(2022YFB-4602101)
Corresponding Authors:  LU Zhaoping, professor, Tel: (010)82375387, E-mail: luzp@ustb.edu.cn

URL: 

https://www.ams.org.cn/EN/10.11900/0412.1961.2026.00138     OR     https://www.ams.org.cn/EN/Y2026/V62/I9/1467

Fig.1  Mechanical properties of the TiZrHfNb-O refractory high-entropy alloy (HEA) and dislocation interactions with ordered interstitial complexes[11]
(a) room-temperature tensile stress-strain curves for the as-cast TiZrHfNb (denoted as base alloy), (TiZrHfNb)98O2 (denoted as O-2), and (TiZrHfNb)98N2 (denoted as N-2) HEAs (σy is the yield strength (squares), σUTS is the ultimate strength (diamonds), and ε is the elongation (circles). Inset shows the corresponding strain hardening response (dσ / dε), where σ is stress)
(b) changes in strength and ductility observed for the HEAs introduced here, relative to several types of established high-performance alloys
(c) dislocations in the 8% strained O-2 HEA, imaged under {111}-type diffraction conditions (Dislocation pinning at ordered oxygen complexes (OOCs) is observed, which suppresses dislocation motion (red arrows). Inset indicates the direction of the diffraction vector)
(d) aberration-corrected STEM-annular bright field (ABF) image of the local atomic structure near the dislocation pinning point
(e) aberration-corrected STEM-ABF image of the local atomic structure at the pinning point (White arrows point to the oxygen atom columns around the pinned dislocation. Interstitial oxygen atoms are clearly seen in the red dotted square)
(f) corresponding STEM-HAADF image for the [111]bcc crystal axis with differently adjusted contrast to reveal that the pinning effect is induced by OOCs (Red dotted zone indicates the (O, Zr, Ti)-rich region, that is, the OOC)
(g) aberration-corrected STEM-ABF image of the local atomic structure away from the pinning point
Fig.2  Microstructural characteristics of coherent nanoprecipitates in the Fe-Co-Ni-Cr-Al-Ti HEA[18] (a, b) bright (a) and dark (b) field TEM images showing the particles distribution (c) high-resolution TEM image showing the interface between one single nano-particle and fcc matrix, with relative fast Fourier transform (FFT) patterns are shown in the left; the atomic arrangement are directly distinguished (d) APT results with two boxes of atom maps with Fe, Co, Cr and Al, Ni, Ti separately and one box with 35%Ni iso-concentration surface showing the outline of particles (e) proximity histogram constructed across the interface between the matrix and precipitates
Fig.3  XRD patterns (a) and EBSD images (b) of the as-cast Ta-Hf-Zr-Ti HEAs with different Ta contents[24]
Fig.4  Schematics of the hierarchical microstructure and synergistic strengthening-toughening achieved through multi-mechanism coupling (TWIP—twinning-induced plasticity, TRIP—transformation-induced plasticity, HDI—hetero-deformation induced)
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