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# High-entropy alloy strengthened by in situ formation of entropy-stabilized nano-dispersoids

## Abstract

A significant increase in compressive yield strength of the Al0.3CoCrFeMnNi high-entropy alloy (HEA) from 979 MPa to 1759 MPa was observed upon the introduction of 3 vol.% Y2O3. The HEAs were processed using spark plasma sintering of mechanically alloyed powders. Transmission electron microscopy and atom probe tomography confirmed the presence of compositionally complex nano-dispersoids in the Y2O3-added HEA. The significant increase in strength can be attributed to the nano-dispersoid strengthening coupled with grain refinement. Therefore, the in-situ formation of the compositionally complex nanoscale dispersoids during the alloy processing could be a novel approach to create entropy-stabilized oxide particles in strengthening of HEAs.

## Introduction

High-entropy alloys (HEAs) are a new class of metallic alloys, defined by Yeh et al.1 as an alloy system consisting of five or more metallic elements with concentrations in the range of 5–35 at%. As their name suggests, HEAs exhibit a high configurational entropy, which favors the formation of a solid solution instead of intermetallic compounds. They attract significant research interests owing to their high strength, thermal stability, wear resistance, corrosion resistance, etc.

Amongst the myriad of HEA systems, CoCrFeMnNi is one of the most intensively investigated alloys owing to its attractive properties including cryogenic mechanical properties2, thermodynamic stability3, and malleability. Its microstructure consists of a single face-centered-cubic (fcc) solid solution, initially revealed by Cantor et al.4.

Although it exhibits various desirable properties, the mechanical strength of CoCrFeMnNi is very low5. CoCrFeMnNi HEA is commonly synthesized using melting and casting processes. However, ingot metallurgy tends to create coarse grains with heterogeneous dendritic structures during cooling6. In order to improve its mechanical properties, additional thermomechanical methods have to be employed, such as rolling, high-pressure torsion3, and swaging7, after arc melting.

An alternative method to synthesize HEAs is powder metallurgy processing including mechanical alloying (MA) and spark plasma sintering (SPS). A target material, in the form of powder, is subjected to a repetitive cycle of cold welding, fracturing, and rewelding using high-energy ball milling to achieve solid-state alloying. The alloyed powders are then subjected to compaction and sintering. Using the powder metallurgy process, nanograins can be obtained, which improve the mechanical properties of the HEA8.

The addition of aluminum to CoCrFeMnNi can enhance its mechanical properties through the increase of the lattice distortion. He et al.9 reported that the addition of Al not only decreased the density of the alloy but also increased the yield strength through solid solution strengthening and formation of a harder body-centered cubic (bcc) phase10,11 with the further addition of aluminum.

Another strengthening method is oxide dispersion strengthening (ODS), based on oxides such as Al2O3, TiO2, ZrO2, and Y2O3, which restrict dislocation motion by dispersion strengthening and restrain grains’ growth owing to the grain-pinning effect12. Owing to its high hardness (~1,020 Hv) and thermal stability13, Y2O3 is commonly used as a dispersoid for ODS alloys. ODS effectively strengthened the CoCrFeMnNi HEA from 1 GPa to 1.2 GPa at room temperature, and from 400 MPa to 800 MPa at 800 °C14. Even though Al-containing HEAs have been extensively investigated owing to the promising strength-ductility combinations1,9,15, there are no reports on ODS of Al-containing CoCrFeMnNi HEAs. This study focuses on the effect of introducing Y2O3 in the Al0.3CoCrFeMnNi HEA, fabricated using MA and spark plasma sintering. The in-situ reaction of Y2O3 with the other substitutional elements (from the solid-solution HEA matrix) leads to a complex dispersoid. This is the first report that employs atom probe tomography (APT) to accurately measure the composition and morphology of the nanoscale oxide dispersoids.

## Results and Discussion

### XRD analyses during MA and after SPS

Figure 1(a) shows the XRD results after the milling of the Al0.3CoCrFeMnNi powders. After 36 h of milling, only fcc peaks were observed for both samples, alloy powders without Y2O3 (0% Y2O3) and with 3% Y2O3. The milling conditions optimized for Al0.3CoCrFeMnNi high entropy alloys were used in this study. The details of the milling conditions and the microstructural evolution of the mechanically alloyed powder were described in our previous paper by the authors on Al0.3CoCrFeMnNi16. Figure 1 shows that the diffraction peaks of Al0.3CoCrFeMnNi and ODS HEA are almost similar because the addition of Y2O3 did not change the milling process significantly The fcc peaks had a low intensity and were relatively broadened, indicating a decrease in the crystallite size, according to the Scherrer’s formula.

The mechanical milling was followed by a sintering process. The optimal sintering temperature of 900 °C was optimized by measuring relative densities of Al0.3CoCrFeMnNi (>99%, indicating that a full densification) and by performing a post hardness test and grain-size measurements in the previous study16. After sintering, the XRD peaks exhibited a high intensity and were narrower, compared with those before the sintering, as shown in Fig. 1(b). Both Al0.3CoCrFeMnNi (without Y2O3) and Al0.3CoCrFeMnNi + 3% Y2O3 exhibited a combination of fcc (major phase) and B2 peaks (minor phase). The B2 crystal structure is often adopted by AB-type compounds and has been reported in many Al containing HEAs1,11,16. It has been previously reported that the volume fraction of the B2 phase in Al0.3CoCrFeMnNi is approximately 6 vol%16. The B2 phase has a space group of Pm3m, which is a primitive cubic structure. The chemical ordering within the B2 phase is based on the ordering of a body-centered cubic structure with different atomic species occupying the corners of the cube versus the body center of the cube. B2 alloys often exist over a range of compositions on either side of the stoichiometric composition. Deviations from the stoichiometric composition are accommodated by constitutional defects, i.e. either by vacancies on the deficient element’s sublattice sites or by antisite atoms of the excess element17. In some compounds, e.g. aluminum-rich NiAl, the vacancies may be ordered18. The mechanical properties of B2 can be profoundly influenced by the composition of the intermetallic phase17 and hence this phase in compositionally complex alloys like HEAs can be tuned over a wide range of compositions for tuning the mechanical properties.

### Microstructural characterization of the constituent phases

Detailed microstructural studies of the Al0.3CoCrFeMnNi (without Y2O3) sample showed the presence of fcc, B2, and chromium carbide phases16. Carbon measurements throughout the process showed that the alloy absorbed ~0.25 at% C after the mechanical milling, which reached the value of 0.4 at% C after the sintering in graphite dies; metal-carbides are often observed in SPS-processed alloys16,19,20. A scanning TEM (STEM) image of Al0.3CoCrFeMnNi (without Y2O3) is shown in Fig. 2(a), which shows the fully recrystallized microstructure consisting of nanograins. Some of the grains exhibit a darker contrast in Fig. 2a. This darker contrast can be attributed to carbides (Cr and C rich), and the B2 particles (Al, Mn and Ni rich) which are composed of relatively lighter elements and consequently appear darker in contrast in HAADF STEM images. However, some of the fcc grains may also appear dark due to diffraction contrast effects and strain differences.

The STEM image and selected area diffraction patterns (SADPs) of the phases observed in Al0.3CoCrFeMnNi + 3% Y2O3 are shown in Fig. 2(b) (and insets). The inset in the top-left part shows an SADP of the M23C6 carbide phase along the [011] zone axis (outlined by the dotted yellow shape). The inset in the bottom-middle part shows an SADP of the fcc nanograins and B2 particles. These phases are formed during the sintering and do not contain Y2O3, as reported in our previous study16. Apart from the major sintered phase, small dark-contrast spherical features dispersed in the microstructure of Al0.3CoCrFeMnNi + 3% Y2O3 were observed. These features were absent in the alloy without Y2O3, suggesting that they may be the dispersoids formed upon the addition of 3% Y2O3. However, it was challenging to precisely characterize the dispersoids using TEM; APT was employed for this purpose.

### Compositional studies using APT

APT results for the 0%-Y2O3 and 3%-Y2O3 alloys are shown in Figs 3 and 4. Raw ion maps (Al (red), Cr (light green), Mn (magenta), Co (dark green), and Ni (blue)) from the fcc “matrix region” of the 0%-Y2O3 sample are shown in Fig. 3. The performed reconstruction reveals very homogeneous distributions of each of the chemical elements.

Ion maps of the 3%-Y2O3 alloy are shown in Fig. 4. Apart from the fcc matrix, the reconstruction reveals various microstructural features. In contrast to the 0%-Y2O3 sample, the fcc matrix in the 3%-Y2O3 alloy consists of fine-scale inhomogeneities, which are the distributed dispersoids, observed in the Al, Y, and O ion maps. Larger Al–Ni–Mn-rich particles are B2 precipitates formed in the alloy. In addition, a chromium–carbon-rich region is observed in the top-left part of the APT tip, which is the Cr-rich carbide (M23C6) formed during the SPS processing of the powders. Increases of the Al, Y, and O intensities within these regions can be clearly observed by visual inspection; the exact compositions of these phases are provided in Table 1. It is worth noting that Y2O3 can react with Al, forming a Y–Al–O complex oxide, in-situ, during the sintering of the powders. Amongst the possible oxides, yttria alumina monoclinic, yttria alumina perovskite, and yttria alumina garnet, have been reported21,22. However, the high contents of the other elements, Co, Cr, Fe, Mn, and Ni, suggest that owing to the high entropy state of the system, a Y–Al–Mn–Ni–Cr–Co–O complex oxide is formed through a surface reaction with the matrix23,24,25.

In addition, studies on ODS of Al- and Ti-containing alloys demonstrated the formation of similar non-stoichiometric sub-oxide nanoprecipitates25,26,27. Ceri et al.25 and Lindau et al.27 suggested that, after MA, Y2O3 might not dissolve completely, and that the cores of the nanofeatures observed after sintering can consist of undissolved Y2O3. The cores can act as nuclei for other elements to segregate at the interface, which lowers the interface energy. London et al. showed that Cr could form a shell around oxide particles, leading to particles with a very small size and increased number density28. The composition of the oxide particles was determined to be ~9% Al, 12% Co, 9% Cr, 13% Cr, 16% Fe, 20% Ni, 10% Y and 10% O (all in at%). The high compositional complexity suggests substantially higher configurational entropy as compared to conventional Y2O3 particles in solute lean alloys. The development of entropically stabilized oxides (or high entropy oxides) has been an active area of interest in recent times29,30,31,32,33,34. Rost et al.29 published on the existence of a new class of entropy stabilized mixed oxides with high configurational entropy. The authors of29 also presented a hypothesis suggesting that entropy stabilization is particularly effective in a compound with ionic character. Lei et al.30 developed ultrastable metal oxide nanotube arrays consisting of multiple oxide constituents by anodic oxidation of high-entropy alloy precursors. This has implications in the field of catalysis and energy storage.

The volume fraction of dispersoids (determined by APT) in the 3 vol.%Y2O3 reinforced alloy was determined to be 0.033. The radius of dispersoid particles was also determined from the APT analysis using iso-concentration surfaces to encapsulate the Al-rich dispersoids. The average radius of dispersoids was 0.95 nm in case of the 3 vol.% Y2O3 reinforced alloy. Further studies are ongoing to investigate the effect of the Y2O3 content on the composition and size of the complex oxide dispersoids formed in the alloy.

Compressive stress–strain curves for the Al0.3CoCrFeMnNi alloys without Y2O3 and with 3% Y2O3 at ambient temperature are shown in Fig. 5. At 0% Y2O3, Al0.3CoCrFeMnNi exhibits a yield strength of 979 MPa with a strain of 39.3%; at 3% Y2O3, the yield strength increased to 1,759 MPa (an increase of ~80%), while the strain decreased to 19.8%. This indicates that the Y2O3 dispersoids act as a barrier to dislocation motion, enhancing the mechanical properties, still maintaining a reasonable amount of ductility.

Considering the sample processing parameters and apparatus used for processing the base alloy (0% Y2O3) and the 3% Y2O3 reinforced alloy were same, the Hall-Petch strengthening due to grain size effect, composite strengthening due to intermetallic B2 and carbide particles and solid solution strengthening can be assumed similar in both alloys. Hence, the yield strength of the base, which is ~980 MPa if assumed to be due to the grain size and solid solution strengthening, the strength increment on reinforcing the alloy with 3% Y2O3 can be estimated to be ~780 MPa. Theoretically, the dispersion strengthening can be modeled using the dispersed-barrier hardening model35. This model is based on the intersection of the obstacles with the dislocation glide plane36 using geometrical estimations:

$${\rm{\Delta }}{\rm{\sigma }}=0.8\,{\rm{M}}{\rm{\alpha }}\,({\rm{r}}){\rm{Gb}}/\lambda$$
(1)

where α(r) is the obstacle strength-coefficient and it represents the strength of the obstacles to impede dislocation motion. Alinger37 proposed a function of α(r),

$${\rm{\alpha }}({\rm{r}})=-\,0.017+0.374\,\mathrm{log}(\frac{{\rm{r}}}{2{\rm{b}}})$$
(2)

in case of an impenetrable obstacle, α(r) = 1 and Orowan by-pass mechanism can be used. In the current work, α(r) is ~0.08 where a range of α(r) values approximately lying between 0.05 and 0.30 clearly indicates that the fine scale nanodispersoids are relatively soft obstacles, and can be sheared by dislocations38.

G, b (0.255 nm for CoCrFeNiMn)39, f and r denote the shear modulus, the Burgers vector and the dispersoid size, respectively. λ is the average planar center-to-center distance between nano-dispersoids and is given by:

$${\rm{\lambda }}=2\sqrt{\frac{2}{3}}\,{\rm{r}}(\sqrt{\frac{\pi }{4f}}-1)$$
(3)

In current work it is noted that the direct-strengthening calculated from the dispersed-barrier hardening model is about one-third of the Orowan by-pass model. Siska et al. in their assessment of strengthening mechanisms arising from different oxide particles in 9Cr ODS steel showed that the dispersed-barrier hardening model works better for Y2O3 dispersoids40.

The average radius of dispersoids was 0.95 nm in case of the 3 vol.% Y2O3 reinforced alloy. This APT data reveals dispersion strengthening (σ, according to Eq. (1)) in 3 vol.% Y2O3 reinforced Al0.3CoCrFeMnNi alloy was ~695 MPa in good agreement with the experimentally estimated strength estimate of ~780 MPa. This establishes that the dispersion strengthening mechanism plays an important role in imparting high compressive strength in such ODS HEAs. The difference in the experimental value and the calculation could be explained based on the non-additive nature of the various mechanisms. The strengthening contributions due to Hall-Petch, solid solution strengthening and dispersion strengthening can influence each other and the dislocation density of the matrix. This will also change the dislocation strengthening of the base matrix.

Furthermore, a comparison with other fcc-based HEAs41,42,43,44,45,46,47,48,49 is summarized in Fig. 6 where the compressive YS vs fracture strain is presented. The analyzed 3%-Y2O3 HEA is located in the upper-right part of the diagram, which indicates that it outperforms most of the reported HEAs. It seems that the current alloy has the most desirable combination of strength and ductility among fcc-based HEAs materials. For a study of the detailed deformation mechanisms of dispersion-strengthened HEAs, tensile tests, creep and fatigue tests should be conducted in the future.

## Conclusion

In this study, Al0.3CoCrFeMnNi + 3 vol.% Y2O3 HEAs were prepared by planetary ball milling for 36 h followed by spark plasma sintering at 900 °C under a pressure of 50 MPa for 10 min. The SPS yielded a nano-grained microstructure consisting of fcc, B2, and M23C6 carbide phases. Along with these phases, the alloy exhibited an even finer-scale complex-oxide dispersed phase, formed through an in-situ reaction during the sintering, whose morphology was investigated using APT. The dispersoids led to an increase in the yield strength and a decrease in ductility. The large increase in the yield strength could be attributed to the dispersion strengthening, indicating the effectiveness of the employed strengthening method. This study presented a novel methodology for the formation of complex oxide dispersoids in compositionally complex HEAs, which can also be applied to other alloys.

## Methods

High-purity powders of Al, Co, Mn, Ni (particle size <15 μm), Cr (particle size <45 μm) (Kojundo Co, Ltd.), Fe (particle size <25 μm), and Y2O3 (particle size <10 μm) (Sigma Aldrich) were used to prepare Al0.3CoCrFeMnNi (expressed in molar ratio) with 3 vol.% Y2O3 by planetary ball milling for 36 h. Stainless-steel vials and stainless-steel balls with a diameter of 1.1 cm were employed, using a ball-to-powder mass ratio of 15:1 in an argon atmosphere including n-heptane as a process control agent (PCA) to reduce the cold welding of the powder. The as-milled powders were then consolidated using spark plasma sintering (Dr. Sinter Lab. SPS-515S) at 900 °C in a vacuum atmosphere (1.5 × 10−5 Bar) for 10 min under a uniaxial pressure of 50 MPa, at a heating rate of 100 °C/min.

The crystal structures of the milled powders and sintered alloys were investigated using an X-ray diffractometer (XRD, Rigaku D/Max-2500) with Cu-Kα radiation. Their microstructures were observed using transmission electron microscopy (TEM) (Tecnai G2 F30 S-Twin) and APT (Cameca 3000X HR local electrode atom probe (LEAP)). Thin TEM lamellae and tapered APT needles were produced from site-specific regions of interest, for TEM and APT analyses, respectively. The lamellae were prepared by focused ion beam (FIB) milling using an FEI Nova 200 NanoLab Dual Beam system equipped with a Ga+ ion source and Pt gas injection system. The densities of the sintered alloys were measured using the Archimedes’ principle. The compressive properties of the specimens (cylindrical shape, with a diameter of 3 mm and height of 6 mm) were investigated using an INSTRON 5583 system at a crosshead speed of 0.2 mm/min.

### Impact Statement

An unprecedented yield strength of Al0.3CoCrFeMnNi up to 1759 MPa was achieved by the in-situ formation of the compositionally complex nanoscale dispersoids in the high entropy alloy.

## Data Availability Statement

The data that support the findings of this study are available within the paper. Any further information or clarification is available from the corresponding author upon reasonable request.

Publisher's note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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## Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF-2015R1A2A2A01002436, NRF-2016R1E1A1A01943278, NRF-2015R1A5A1037627). The authors would like to acknowledge the Materials Research Facility (MRF) at the University of North Texas.

## Author information

### Author notes

1. Bharat Gwalani and Rizaldy M. Pohan contributed equally.

### Affiliations

1. #### Department of Materials Science and Engineering, University of North Texas, 1155 Union Circle, Denton, TX, 76203, USA

• Bharat Gwalani
•  & Rajarshi Banerjee
2. #### Department of Materials Science and Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, Republic of Korea

• Rizaldy M. Pohan
• , Junho Lee
•  & Soon Hyung Hong

• Bin Lee

• Ho Jin Ryu

### Contributions

B. Gwalani, R.M. Pohan, J. Lee, B. Lee participated in the experiments. R. Banerjee, H.J. Ryu, S.H. Hong analyzed the results. All authors contributed to the manuscript preparation and reviewed the manuscript.

### Competing Interests

The authors declare no competing interests.

### Corresponding authors

Correspondence to Ho Jin Ryu or Soon Hyung Hong.