Ma, E. & Zhu, T. Towards strength–ductility synergy through the design of heterogeneous nanostructures in metals. Mater. Today 20, 323–331 (2017).
Zhu, Y. T. & Liao, X. Retaining ductility. Nat. Mater. 3, 351–352 (2004).
Ovid’ko, I. A., Valiev, R. Z. & Zhu, Y. T. Review on superior strength and enhanced ductility of metallic nanomaterials. Prog. Mater Sci. 94, 462–540 (2018).
Hu, J., Shi, Y. N., Sauvage, X., Sha, G. & Lu, K. Grain boundary stability governs hardening and softening in extremely fine nanograined metals. Science 355, 1292–1296 (2017).
Zhou, X., Li, X. Y. & Lu, K. Enhanced thermal stability of nanograined metals below a critical grain size. Science 360, 526–530 (2018).
Karimpoor, A. A., Erb, U., Aust, K. T. & Palumbo, G. High strength nanocrystalline cobalt with high tensile ductility. Scr. Mater. 49, 651–656 (2003).
Li, H. et al. Mapping the strain-rate and grain-size dependence of deformation behaviors in nanocrystalline face-centered-cubic Ni and Ni-based alloys. J. Alloys Compd. 709, 566–574 (2017).
Ma, E. Instabilities and ductility of nanocrystalline and ultrafine-grained metals. Scr. Mater. 49, 663–668 (2003).
Yang, M. et al. Dynamically reinforced heterogeneous grain structure prolongs ductility in a medium-entropy alloy with gigapascal yield strength. Proc. Natl Acad. Sci. USA 115, 7224–7229 (2018).
Ma, E. Unusual dislocation behavior in high-entropy alloys. Scr. Mater. 181, 127–133 (2020).
Varvenne, C., Leyson, G. P. M., Ghazisaeidi, M. & Curtin, W. A. Solute strengthening in random alloys. Acta Mater. 124, 660–683 (2017).
Ma, E. & Wu, X. Tailoring heterogeneities in high-entropy alloys to promote strength–ductility synergy. Nat. Commun. 10, 5623 (2019).
Ding, Q. et al. Tuning element distribution, structure and properties by composition in high-entropy alloys. Nature 574, 223–227 (2019).
Oh, H. S. et al. Engineering atomic-level complexity in high-entropy and complex concentrated alloys. Nat. Commun. 10, 2090 (2019).
Sohn, S. S. et al. Ultrastrong medium-entropy single-phase alloys designed via severe lattice distortion. Adv. Mater. 31, 1807142 (2019).
Zhang, R. et al. Short-range order and its impact on the CrCoNi medium-entropy alloy. Nature 581, 283–287 (2020).
Lei, Z. et al. Enhanced strength and ductility in a high-entropy alloy via ordered oxygen complexes. Nature 563, 546–550 (2018).
Gonzalez, G., Sagarzazu, A., Bonyuet, D., D’Angelo, L. & Villalba, R. Solid state amorphisation in binary systems prepared by mechanical alloying. J. Alloys Compd. 483, 289–297 (2009).
Leyson, G. P. M., Hector, L. G. Jr & Curtin, W. A. Solute strengthening from first principles and application to aluminum alloys. Acta Mater. 60, 3873–3884 (2012).
El-Sherik, A. M. & Erb, U. Synthesis of bulk nanocrystalline nickel by pulsed electrodeposition. J. Mater. Sci. 30, 5743–5749 (1995).
Erb, U. & El-Sherik, A. M. Nanocrystalline metals and process of producing the same. US patent 5,352,266 (1994).
Li, Q.-J., Sheng, H. & Ma, E. Strengthening in multi-principal element alloys with local-chemical-order roughened dislocation pathways. Nat. Commun. 10, 3563 (2019).
Yin, B. & Curtin, W. A. Origin of high strength in the CoCrFeNiPd high-entropy alloy. Mater. Res. Lett. 8, 209–215 (2020).
Brooks, I., Palumbo, G., Hibbard, G. D., Wang, Z. R. & Erb, U. On the intrinsic ductility of electrodeposited nanocrystalline metals. J. Mater. Sci. 46, 7713–7724 (2011).
Daly, M. et al. Size effects in strengthening of NiCo multilayers with modulated microstructures. Mater. Sci. Eng. A 771, 138581 (2020).
He, B. B. et al. High dislocation density–induced large ductility in deformed and partitioned steels. Science 357, 1029–1032 (2017).
Jiang, S. et al. Ultrastrong steel via minimal lattice misfit and high-density nanoprecipitation. Nature 544, 460–464 (2017).
Mori, H., Matsui, I., Takigawa, Y., Uesugi, T. & Higashi, K. Revealing the intrinsic ductility of electrodeposited nanocrystalline metals. Mater. Lett. 235, 224–227 (2019).
Pratama, K. & Motz, C. Strategies to achieve high strength and ductility of pulsed electrodeposited nanocrystalline Co–Cu by tuning the deposition parameters. Molecules 25, 5194 (2020).
Yoshida, S., Bhattacharjee, T., Bai, Y. & Tsuji, N. Friction stress and Hall–Petch relationship in CoCrNi equi-atomic medium entropy alloy processed by severe plastic deformation and subsequent annealing. Scr. Mater. 134, 33–36 (2017).
Wu, X. L., Zhu, Y. T., Wei, Y. G. & Wei, Q. Strong strain hardening in nanocrystalline nickel. Phys. Rev. Lett. 103, 205504 (2009).
Cao, Z. H., Wang, L., Hu, K., Huang, Y. L. & Meng, X. K. Microstructural evolution and its influence on creep and stress relaxation in nanocrystalline Ni. Acta Mater. 60, 6742–6754 (2012).
Sun, Z. et al. Dynamic recovery in nanocrystalline Ni. Acta Mater. 91, 91–100 (2015).
Xu, X. D. et al. Transmission electron microscopy characterization of dislocation structure in a face-centered cubic high-entropy alloy Al0.1CoCrFeNi. Acta Mater. 144, 107–115 (2018).
Qi, L., Liu, C. Q., Chen, H. W. & Nie, J. F. Atomic scale characterization of complex stacking faults and their configurations in cold deformed Fe42Mn38Co10Cr10 high-entropy alloy. Acta Mater. 199, 649–668 (2020).
Zeng, Y., Cai, X. & Koslowski, M. Effects of the stacking fault energy fluctuations on the strengthening of alloys. Acta Mater. 164, 1–11 (2019).
Shih, M., Miao, J., Mills, M. & Ghazisaeidi, M. Stacking fault energy in concentrated alloys. Nat. Commun. 12, 3590 (2021).
Yin, B., Yoshida, S., Tsuji, N. & Curtin, W. A. Yield strength and misfit volumes of NiCoCr and implications for short-range-order. Nat. Commun. 11, 2507 (2020).
Zong, H. et al. Percolated strain networks and universal scaling properties of strain glasses. Phys. Rev. Lett. 123, 015701 (2019).
Rao, S. I., Woodward, C., Parthasarathy, T. A. & Senkov, O. Atomistic simulations of dislocation behavior in a model fcc multicomponent concentrated solid solution alloy. Acta Mater. 134, 188–194 (2017).
Shenoy, V. B., Kukta, R. V. & Phillips, R. Mesoscopic analysis of structure and strength of dislocation junctions in fcc metals. Phys. Rev. Lett. 84, 1491–1494 (2000).
Wei, Q. Strain rate effects in the ultrafine grain and nanocrystalline regimes—influence on some constitutive responses. J. Mater. Sci. 42, 1709–1727 (2007).
Li, Y. J., Mueller, J., Höppel, H. W., Göken, M. & Blum, W. Deformation kinetics of nanocrystalline nickel. Acta Mater. 55, 5708–5717 (2007).
Lian, J. & Baudelet, B. Necking development and strain to fracture under uniaxial tension. Mater. Sci. Eng. 84, 157–162 (1986).
Ma, C., Wang, S. C. & Walsh, F. C. Electrodeposition of nanocrystalline nickel–cobalt binary alloy coatings: a review. Trans. Inst. Met. Finish. 93, 104–112 (2015).
Sang, X., Oni, A. A. & LeBeau, J. M. Atom column indexing: atomic resolution image analysis through a matrix representation. Microsc. Microanal. 20, 1764–1771 (2014).
Niu, C. et al. Spin-driven ordering of Cr in the equiatomic high entropy alloy NiFeCrCo. Appl. Phys. Lett. 106, 161906 (2015).
Miller, M. K. Atom Probe Tomography: Analysis at the Atomic Level (Springer Science & Business Media, 2012).
Ungár, T., Dragomir, I., Révész, Á. & Borbély, A. The contrast factors of dislocations in cubic crystals: the dislocation model of strain anisotropy in practice. J. Appl. Cryst. 32, 992–1002 (1999).
Wu, Z., Bei, H., Pharr, G. M. & George, E. P. Temperature dependence of the mechanical properties of equiatomic solid solution alloys with face-centered cubic crystal structures. Acta Mater. 81, 428–441 (2014).
Zhao, Y. Y. & Nieh, T. G. Correlation between lattice distortion and friction stress in Ni-based equiatomic alloys. Intermetallics 86, 45–50 (2017).
Hall, E. The deformation and ageing of mild steel: III discussion of results. Proc. Phys. Soc. Lond. B 64, 747 (1951).
Petch, N. The cleavage strength of polycrystals. J. Iron Steel Inst. 174, 25–28 (1953).
Courtney, T. H. Mechanical Behavior of Materials (Waveland Press, 2005).
Wang, Y. M. et al. Achieving large uniform tensile ductility in nanocrystalline metals. Phys. Rev. Lett. 105, 215502 (2010).
Lian, J. S., Gu, C. D., Jiang, Q. & Jiang, Z. H. Strain rate sensitivity of face-centered-cubic nanocrystalline materials based on dislocation deformation. J. Appl. Phys. 99, 3 (2006).
Kim, Y.-K., Jung, W.-S. & Lee, B.-J. Modified embedded-atom method interatomic potentials for the Ni–Co binary and the Ni–Al–Co ternary systems. Model. Simul. Mater. Sci. Eng. 23, 055004 (2015).
Nosé, S. A unified formulation of the constant temperature molecular dynamics methods. J. Chem. Phys. 81, 511–519 (1984).
Plimpton, S. Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995).
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