Next Article in Journal
Natural Aging Effect of Al-20Zn-3Cu Alloy on Mechanical Properties and Its Relation to Microstructural Change
Previous Article in Journal
Study on the Relationship between High Temperature Mechanical Properties and Precipitates Evolution of 7085 Al Alloy after Long Time Thermal Exposures
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Systematic Development of Eutectic High Entropy Alloys by Thermodynamic Modeling and Experimentation: An Example of the CoCrFeNi-Mo System

School of Chemical and Materials Engineering (SCME), National University of Sciences and Technology (NUST), H-12, Islamabad 44000, Pakistan
*
Author to whom correspondence should be addressed.
Metals 2021, 11(9), 1484; https://doi.org/10.3390/met11091484
Submission received: 15 June 2021 / Revised: 22 July 2021 / Accepted: 28 July 2021 / Published: 18 September 2021

Abstract

:
Face centered cubic (FCC) high-entropy alloys (HEA) exhibit excellent ductility while body centered cubic (BCC) HEAs are characterized by high strength. Development of fine two-phase eutectic microstructure (consisting of a tough phase such as fcc and a hard phase such as bcc/intermetallic) can help in obtaining an extraordinary combination of strength and ductility in HEAs. Designing eutectic high entropy alloys is an extremely difficult task for which different empirical and non-empirical methods have been previously tried. In the present study, the possibility of developing a eutectic microstructure by the addition of Mo to CoCrFeNi was evaluated by calculation of the pseudo-binary phase diagram. Experimental results validated the presence of eutectic reaction in the calculated phase diagrams; however, small changes in the calculated phase diagrams were proposed. It has been shown that calculated pseudo-binary phase diagrams can provide a very good starting point for the development of eutectic HEAs and help in exponentially reducing the amount of experimental effort that may be required otherwise. Eutectic mixture consisting of FCC (A2) phase and intermetallic phases (σ and μ) was successfully obtained by the addition of Mo to the CoCrFeNi system. The development of the eutectic microstructure showed a profound effect on the mechanical properties. Hardness of the samples increased from 150 HV for CoCrFeNiMo0.1 to 425.5 HV for CoCrFeNiMo1.0, whereas yield strength increased from around 218 MPa for CoCrFeNiMo0.1 to around 1100 MPa for CoCrFeNiMo1.0.

Graphical Abstract

1. Introduction

Conventional alloys are currently used for the majority of structural applications. Some of the common examples include the use of aluminum alloys and titanium alloys for applications requiring high strength/weight ratios (aerospace industry) [1], steels as a load-bearing material for applications requiring high strength and ductility at low cost [2,3,4,5,6,7], cobalt-based alloys for biomedical applications [8,9,10], and nickel-based superalloys for applications requiring high resistance to mechanical degradation at elevated temperatures [11,12]. It is believed that the conventional alloy design approach has more or less reached its limits and cannot meet the requirements of demanding structural applications. The concept of high-entropy alloys was introduced in 2004 [13,14]. Unlike conventional alloys, they contain five to thirteen major alloying elements in equal proportions [15], and in most cases were found to possess single-phase microstructures (FCC [16,17], BCC [18,19], hexagonal closed packed (HCP) structure [20,21]). Increased stability of the solid solutions in high-entropy alloys was attributed to the high entropy of mixing that lowered their relative Gibbs free energy and stabilized them [14,22,23,24]. High-entropy alloys have shown a superior combination of physical and mechanical properties in comparison to their conventional alloy counterparts. Some of the outstanding mechanical properties of high-entropy alloys include high wear resistance [25,26], high strength even at high temperatures [18,27,28], tremendous thermal stability [27,28,29], and good corrosion resistance [30,31,32,33]. Courtesy of their outstanding combination of mechanical properties, HEAs are considered as promising candidates for a diverse range of advanced engineering applications, such as aero-engines [34,35], super conductors [36,37], and nuclear reactors [38,39].
Demanding structural applications require alloys with extraordinary combinations of strength and ductility. Most of the previous work on HEAs was dedicated to the development of either single-phase FCC HEAs and/or BCC HEAs [40,41,42,43]. Finding the aforementioned balance of strength and ductility through the development of single-phase HEAs seems difficult. A number of attempts, including the development of eutectic high-entropy alloys (EHEAs), have been carried out to overcome the strength–ductility tradeoff. High-entropy alloys undergoing eutectic reaction (LSolid1 + Solid2) are expected to benefit from the properties of HEA matrix as well as from the characteristics of eutectic microstructure [44,45,46]. The fine distribution of a tough and a hard phase obtained through eutectic reactions in HEAs can help in obtaining alloys with significantly high strength and ductility. The first eutectic high-entropy alloy (AlCoCrFeNi2.1) consisting of a ductile FCC and hard BCC phase was designed and synthesized [47] in 2014 and exhibited an excellent combination of ductility and strength. In addition to good mechanical properties at ambient temperatures, it also showed a better combination of properties even at a temperature of 700 °C. Besides its excellent combination of mechanical properties, the developed EHEAs showed excellent castability [46,47], resulting in the successful production of superior grade industrial scale ingots with excellent chemical homogeneity. Considering the extraordinary combination of mechanical properties obtained in EHEAs, the possibility of developing eutectic microstructures has been evaluated in several other systems, including AlNi2CrFe [48], AlCo2CrFeNi2 and AlNi3CoCrFe [49], Al19Co15Cr15Ni51 [50], Fe35Ni25Cr25Mo15 [51], Fe20Co20Ni41Al19 [52], CoCrFeNiTa0.395 [53], Co2Mo0.8Ni2VW0.8 [54], Nb25Sc25Ti25Zr25 [55], CoCrFeNiNb0.5 [56], Zr0.6CoCrFeNi2.0 [57], Nb0.74CoCrFeNi2.0 [57], Hf0.55CoCrFeNi2.0 [57], Ta0.65CoCrFeNi2.0 [57], and CoCrFeNiTa0.75 [58]. Eutectic microstructures obtained in these systems consisted of FCC and BCC phases [48,49,50,59,60,61], FCC and Laves phases [62,63,64,65,66,67], and BCC and B2 phases [68,69]. Developing a eutectic microstructure is relatively easy in conventional alloys due to the availability of experimental and calculated phase diagrams [70,71,72]. The absence of multicomponent phase diagrams and lack of experimental efforts required for their determination make designing eutectic high-entropy alloys a very challenging task.
The present study was aimed at the development of a eutectic HEA consisting of finely distributed fcc and intermetallic phases in order to obtain an extraordinary combination of strength and ductility. CoCrFeNi is one of the well-studied FCC HEA systems and was shortlisted for the present study. Mo was selected for the development of EHEAs, as its addition to some of the constituent elements of the selected HEA system has been reported to cause precipitation of intermetallic phases and cause a eutectic reaction. The CoCrFeNi-Mo phase diagram has been calculated with the help of Thermo-Calc software (TCHEA database, Thermo-Calc Software AB, Stockholm, Sweden), the verification of which was carried out by performing some experiments. Eutectic HEAs consisting of FCC and intermetallic phases have been successfully developed, and the effect of the developed eutectic mixture on the mechanical properties of the studied alloys has been evaluated.

2. Experimental Techniques

Pure element pellets (Fe: 99.95%, Cr: 99.95%, Co: 99.95%, Ni: 99.95% and Mo: 99.95%) were used as raw materials, and buttons of high-entropy alloys were prepared by arc melting under argon atmosphere in a water-cooled copper hearth. A vacuum of 10−5 mbar was created prior to the insertion of pure argon, and Ti getter was melted for 1 min to absorb any traces of oxygen prior to the melting of high-entropy alloys. Samples were re-melted 5 times and flipped over after each melting to ensure chemical uniformity. Crystal structure characterization of the developed alloys was carried out with the help of XRD (STOE, Darmstadt, Germany Cu Kα radiation, Generator: 20 kV, 5 mA, step size: 0.04°, Time/step: 1 s), which helped in identification of the constituent phases. Microstructural characterization of the developed alloys was carried out with the help of scanning electron microscope (JEOL JSM 6490LA, Tokyo, Japan). The effect of microstructural changes on the mechanical properties of developed alloys was evaluated with the help of Vickers hardness tests and compression tests. A load of 300 N was applied for 15 s and a minimum of 8 indents were made to measure the hardness of each sample. Rectangular samples of 3 mm × 3 mm × 7 mm were taken out from the alloy buttons with the help of a wire electric discharge machine (EDM) (Jiangsu sanxing machinery manufacture company, Taizhou, China) for compression tests. Samples were polished in order to remove EDM wire-cutting marks, and compression testing was performed on a universal testing machine (Shimadzu, Kyoto, Japan) at a strain rate of 1 × 10−3/s.

3. Results and Discussion

The prediction of a eutectic reaction in a five-component system using the hit and trial method can be a very tedious and time-consuming task. Thermodynamic calculations/predictions, in this regard, can provide a good starting point. The Calphad method was employed in the present study, and a pseudo-binary phase diagram of the CoCrFeNi-Mo system was calculated with the help of Thermo-Calc software utilizing the TCHEA database. The calculated pseudo-binary phase diagram of the aforementioned high-entropy alloy system is shown in Figure 1.
The calculated phase diagram, shown in Figure 1, predicted the presence of a eutectic reaction, pointing to the possibility of obtaining a eutectic mixture of fcc and σ phase that could help in reducing the strength–ductility tradeoff and obtaining a better combination of mechanical properties. In order to experimentally validate the possibility of a eutectic reaction in the studied system and study its effect on the mechanical properties, different alloy compositions were prepared. The exact compositions of alloys shortlisted for the present study are given in Table 1 and are also superimposed on the calculated phase diagram in Figure 1.
XRD measurements were carried out in order to identify the phases present in the developed alloy compositions. A comparison of the XRD patterns of the developed CoCrFeNiMox (x = 0.1, 0.25, 0.5, 1.0) HEAs is shown in Figure 2. XRD analysis revealed the presence of a single-phase FCC in the CoCrFeNiMo0.1 and CoCrFeNiMo0.25 high-entropy alloys. In comparison to the CoCrFeNiMo0.1, the XRD pattern for CoCrFeNiMo0.25 showed a slight shift towards the left, indicating an increase in the lattice parameters of the FCC phase due to the presence of higher amounts of a large atomic-size element (Mo) in the crystal structure. FCC also appeared as the major phase in the XRD analysis of CoCrFeNiMo0.5 and CoCrFeNiMo1.0, whereas the presence of a small quantity of intermetallic phases (σ and μ) was also observed. The relative quantity of the σ phase in CoCrFeNiMo1.0 was higher than that of the μ phase. Peaks corresponding to both intermetallic phases became more prominent in comparison to the FCC phase with increasing amounts of Mo, thereby indicating increased stability of intermetallic phases and decreased stability of the FCC phase with increasing amounts of Mo in the CoCrFeNi HEA.
A microstructural investigation of the studied samples was carried out with the help of a scanning electron microscope. SEM images of the developed HEA compositions are shown in Figure 3. SEM micrographs of CoCrFeNiMo0.1 and CoCrFeNiMo0.25 high-entropy alloys, shown in Figure 3a,b, respectively, confirmed the presence of the single-phase microstructure, which was identified as the FCC phase from the XRD analysis (shown in Figure 2), while no evidence of eutectic transformation was found in these two alloy compositions. The microstructure changed from cellular for CoCrFeNiMo0.25 to hypoeutectic microstructure for CoCrFeNiMo0.5. From the intensity of peaks in the XRD pattern and the amount of phases in the SEM images, it was concluded that dark gray areas in the SEM images (Figure 3) corresponded to the pro-eutectic FCC phase, whereas light gray areas corresponded to the eutectic microstructure of the FCC and intermetallic phases. The amount of eutectic mixture evidenced in CoCrFeNiMo0.5 was very small, and that, too, was found at the grain boundaries. A large increase in the amount of Mo was made, and CoCrFeNiMo1.0 was developed in a search for the complete eutectic composition. SEM images of CoCrFeNiMo1.0 are shown in Figure 3d. As shown in the Figure, the microstructure of CoCrFeNiMo1.0 showed the presence of relatively high volume fraction of the eutectic lamellar mixture in comparison to CoCrFeNiMo0.5, whereas a relative decrease in the amount of dendrites corresponding to the pro-eutectic FCC phase, was evidenced. It is evident from Figure 3c,d that the volume fraction of the eutectic lamellar microstructure increased with the increase in Mo content.
A comparison of the SEM and XRD results obtained during the present study with the calculated phase diagrams showed some deviations. The calculated pseudo-binary phase diagram predicted the CoCrFeNiMo0.1 and CoCrFeNiMo0.25 alloys as non-eutectic three-phase (FCC + σ + μ) alloys at room temperature. The SEM and XRD analyses carried out during the present study confirmed them as non-eutectic alloy compositions, but they were found to be single-phase fcc alloys. It can be safely concluded that the calculated pseudo-binary phase diagram of the CoCrFeNi-Mo HEA system underestimated the composition range of the single-phase FCC region, as it should be on the right of CoCrFeNiMo0.25. The experimental results of CoCrFeNiMo0.5 showed the presence of three phases (FCC + σ + μ) in the microstructure, whereas the amount of eutectic mixture in this composition was small and at the grain boundaries, thereby indicating that this composition was to the right of, but close to, the boundary of the FCC phase. The calculated phase diagram contained a three-phase mixture (FCC, σ, and μ) for the CoCrFeNiMo0.5 and CoCrFeNiMo1.0 compositions at high temperatures and a two-phase mixture (FCC and μ) at low temperatures. However, the experimental results obtained for these as-cast compositions showed the presence of three phases (FCC, σ, and μ) which as per the calculated phase diagrams, corresponded to the high temperature microstructures of these compositions. The presence of these phases at room temperature can be associated with the sluggish diffusion kinetics generally attributed to high-entropy alloys. Moreover, the calculated pseudo-binary phase diagram predicted a eutectic reaction in the center of the CoCrFeNiMo0.5 and CoCrFeNiMo1.0 compositions, whereas the experimental results obtained even for CoCrFeNiMo1.0 showed the presence of a hypo-eutectic microstructure. Thus, it can be concluded that the calculated phase diagram showed a eutectic reaction at lower amounts of Mo while the actual eutectic reaction was to the right side of even CoCrFeNiMo1.0. Based on the above discussion, some changes in the pseudo-binary diagram of the CoCrFeNi-Mo system are proposed, as shown in Figure 4.
The effect of microstructural changes in CoCrFeNi caused by the addition of Mo on its mechanical properties was evaluated by performing Vickers hardness and compression tests. Hardness results for different samples are shown in Figure 5a, while compression test results are shown in Figure 5b. CoCrFeNiMo0.1 showed a hardness of around 150.4 HV. A slight increase in the hardness was evidenced on increasing the amount of Mo from CoCrFeNiMo0.1 to CoCrFeNiMo0.25. This small increase in hardness can be attributed to solid solution strengthening as both of these alloys showed the presence of a single-phase FCC microstructure. Increasing the amount of Mo to CoCrFeNiMo0.25 increased the solid solution strengthening, thereby causing a small increase in hardness. As the Mo content increased further, the value of hardness jumped to 257.5 HV for CoCrFeNiMo0.5 and to 425.5 HV for CoCrFeNiMo1.0. This steep change in the slope of the hardness curve was in line with the microstructural changes, as both of these alloys manifested a eutectic microstructure consisting of hard intermetallic compounds (hard σ and μ) along with the FCC phase. It can be concluded that the hardness of the developed HEA can be increased by increasing the volume fraction of the σ and μ phases.
In addition to the hardness test, the effect of microstructural changes on the mechanical properties of the studied HEA system was evaluated with the help of compression testing. Results of the compression tests of the studied samples are shown in Figure 5b, whereas the variation in yield strength as a function of increasing amounts of Mo is shown in Figure 5c. As shown in Figure 5b,c, CoCrFeNiMo0.1 and CoCrFeNiMo0.25 alloys showed closely similar values for yield strength and ductility. This was because they both had a single-phase FCC structure. The value for the yield strength of CoCrFeNiMo0.25 was a little higher than that of CoCrFeNiMo0.1, which could be attributed to the increase in solid solution strengthening due to the increased amount of Mo in the solid solution. The values for the yield strengths of CoCrFeNiMo0.5 and CoCrFeNiMo1.0 were found to be considerably higher than those of the CoCrFeNiMo0.1 and CoCrFeNiMo0.25 alloys. This significant increase in the hardness in these samples has been attributed to the presence of fine-grained eutectic microstructures that consisted of hard intermetallic phases along with a soft FCC phase. The fine distribution of the hard and soft phases as a result of eutectic reaction helped in obtaining significantly higher values for yield strengths. The alloy CoCrFeNiMo1.0 showed the highest value for yield strength due to the increased amount of intermetallic phases; however, increase in the amount of intermetallic phases also caused decreases in its ductility. Machine displacement was used for strain measurements due to the size of the compression test samples, and it might have involved some contribution from sample slippage. The strain data are therefore reliable only for qualitative analysis. It can be seen from the hardness as well as from the compression test results that the introduction of a small amount of Mo in the CoCrFeNi HEA did not change its constituent phases, and the microstructure of CoCrFeNiMo0.1 and CoCrFeNiMo0.25 consisted of a single-phase FCC. The introduction of Mo in the same FCC lattice caused lattice distortion, thereby leading to solid solution strengthening that resulted in a slight increase in the hardness as well as the yield strength. Further increases in the amount of Mo changed phase stability and the solidification path. Crystal structure and microstructural characterization of CoCrFeNiMo0.5 and CoCrFeNiMo1.0 confirmed the development of eutectic microstructure (consisting of finely distributed fcc and intermetallic phase) in the studied HEA system. As a result, significant increases in hardness and yield strength were evidenced. Thus, it was concluded that development of eutectic high-entropy alloys consisting of finely distributed hard and tough phases can help in achieving a far superior combination of mechanical properties in comparison to their HEA counterparts, in addition to improving their castability [46,47,50].
The CoCrFeNiMo HEA system has also been partially investigated in a previous study [73]. They reported the presence of an fcc phase in CoCrFeNi HEA and CoCrFeNiMo0.3 HEA, whereas the presence of a two-phase microstructure (FCC + σ) and three-phase microstructure (FCC + σ + μ) was evidenced in the CoCrFeNiMo0.5 and CoCrFeNiMo0.85 HEAs, respectively. Crystal structure findings of this study [73] were found to be in agreement with the experimental results and predictions of thermodynamic calculations carried out in the present study. Shun et al. [73] did not report the presence of eutectic microstructure in the CoCrFeNiMo0.5 and CoCrFeNiMo0.85 HEAs, whereas the presence of eutectic microstructure was clearly evidenced in the CoCrFeNiMo0.5 and CoCrFeNiMo1.0 HEAs prepared during the present study. The presence of eutectic microstructure in these compositions was also predicted by the pseudo-binary phase diagram calculated during the present study with the help of Thermo-Calc using the TCHEA database. Difference in the microstructure between the two studies could be attributed to the purity of starting components. The raw materials used in the present study were 99.95% pure, whereas those used in the previous study were 99% pure. The purity of starting components can greatly affect the solidification path, especially in multicomponent systems such as HEA, and be responsible for changes in the microstructure. The yield strength of CoCrFeNiMo0.5 (the only common HEA in the two studies) was found to be similar (~510 MPa).
Designing eutectic HEAs has been a tedious and time-consuming task. Empirical and semi-empirical methods based on thermodynamic variables (such as valence electron configuration, atomic size difference, entropy of mixing, electronegativity difference, and enthalpy of mixing) were previously used for estimating phase stability in HEAs and for designing EHEAs. The accuracy of these simple formulas may not be very high due to the complex interactions in multicomponent systems, and even in the best-case scenario, these formulas could only predict phase stability in a specific composition. Systematic alloy design and microstructure modification may not be possible. In the present study, it has been shown that calculated phase diagrams can serve as a very good starting point to evaluate the possibility of obtaining eutectic microstructure in a selected HEA system and for the systematic investigation of eutectic HEAs. The amount of experimental effort required to design hypo eutectic, complete eutectic, and hyper eutectic alloys can be significantly reduced. The pseudo-binary phase diagrams calculated during the present study required slight adjustments, and that, too, was possible by carrying out the microstructural and crystal structural characterization of a few samples. Some deviations from the calculated phase diagrams were expected, as the developed HEAs were studied in the as-cast state and were not in complete thermodynamic equilibrium. Despite these small deviations, the accuracy of calculated phase diagrams is quite high and can be attributed to the significant evolution of thermodynamic models and thermodynamic descriptions constituting lower-order systems over the last few decades [74,75]. It is believed that calculated pseudo-binary phase diagrams hold great potential not only in aiding exploration of HEA and EHEA systems but also in facilitating the design of non-equiatomic HEAs.

4. Conclusions

A pseudo-binary phase diagram of the CoCrFeNi-Mo system was successfully calculated with the help of the Thermo-Calc software package using the TCHEA database. The calculated phase diagram pointed to the possibility of developing eutectic microstructure in the selected HEA system, which was also experimentally validated.
Characterization results of the developed alloys were found to be similar to those predicted by the calculated pseudo-binary phase diagram. Some changes in the calculated phase diagram have been proposed in light of the obtained experimental results. Comparison of experimental and calculated results revealed that calculated pseudo-binary phase diagrams can serve as a very good starting point for the design and development of EHEAs and, as a result, experimental efforts required in this regard can be significantly reduced.
Single-phase FCC high-entropy alloys (CoCrFeNiMo0.1 and CoCrFeNiMo0.25) and eutectic high-entropy alloys (CoCrFeNiMo0.5 and CoCrFeNiMo1.0) were successfully developed.
The addition of small amounts of Mo (CoCrFeNiMo0.1 and CoCrFeNiMo0.25) caused solid solution strengthening, and a small increase in the hardness and yield strength was also evidenced. A significant increase in the hardness and yield strength was confirmed by the development of eutectic morphology in the microstructure. As a result, hardness of the samples increased from 150 HV for CoCrFeNiMo0.1 to 425.5 HV for CoCrFeNiMo1.0, whereas yield strength increased from around 218 MPa for CoCrFeNiMo0.1 to around 1100 MPa for CoCrFeNiMo1.0. No fractures were evidenced during the compression tests of CoCrFeNiMo0.1, CoCrFeNiMo0.25, and CoCrFeNiMo0.5 alloys, which provided a far superior combination of strength and ductility in comparison to the parent HEA. A decrease in the toughness observed in the CoCrFeNiMo1.0 allow was attributed to the increased amount of intermetallic phases in the microstructure.

Author Contributions

Conceptualization, K.Y.; methodology, M.M. (Muhammad Mukarram); software, K.Y.; validation, M.M. (Muhammad Mukarram); formal analysis, M.M. (Mohammad Mujahid); investigation, M.M. (Mohammad Mujahid); writing—original draft preparation, M.A.M.; writing—review and editing, M.A.M. and K.Y.; supervision, K.Y. All authors have read and agreed to the published version of the manuscript.

Funding

Financial support from the Higher Education Commission of Pakistan (HEC-NRPU Project # 6019) is acknowledged.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

References

  1. Nakai, M.; Eto, T. New aspect of development of high strength aluminum alloys for aerospace applications. Mater. Sci. Eng. A 2000, 285, 62–68. [Google Scholar] [CrossRef]
  2. Zhu, L.; Ruan, H.; Chen, A.; Guo, X.; Lu, J. Microstructures-based constitutive analysis for mechanical properties of gradient-nanostructured 304 stainless steels. Acta Mater. 2017, 128, 375–390. [Google Scholar] [CrossRef]
  3. Wu, X.L.; Yang, M.X.; Yuan, F.P.; Chen, L.; Zhu, Y.T. Combining gradient structure and TRIP effect to produce austenite stainless steel with high strength and ductility. Acta Mater. 2016, 112, 337–346. [Google Scholar] [CrossRef] [Green Version]
  4. Yan, F.K.; Liu, G.Z.; Tao, N.R.; Lu, K. Strength and ductility of 316L austenitic stainless steel strengthened by nano-scale twin bundles. Acta Mater. 2012, 60, 1059–1071. [Google Scholar] [CrossRef]
  5. Zheng, Z.B.; Zheng, Y.G. Effects of surface treatments on the corrosion and erosion-corrosion of 304 stainless steel in 3.5% NaCl solution. Corros. Sci. 2016, 112, 657–668. [Google Scholar] [CrossRef]
  6. Shan, C.X.; Hou, X.; Choy, K.-L. Corrosion resistance of TiO2 films grown on stainless steel by atomic layer deposition. Surf. Coat. Technol. 2008, 202, 2399–2402. [Google Scholar] [CrossRef]
  7. Bilal, M.M.; Yaqoob, K.; Zahid, M.H.; Tanveer, W.H.; Wadood, A.; Ahmed, B. Effect of austempering conditions on the microstructure and mechanical properties of AISI 4340 and AISI 4140 steels. J. Mater. Res. Technol. 2019, 8, 5194–5200. [Google Scholar] [CrossRef]
  8. Hegele, P.; von Kobylinski, J.; Hitzler, L.; Krempaszky, C.; Werner, E. In-Situ XRD Study of Phase Transformation Kinetics in a Co-Cr-W-Alloy Manufactured by Laser Powder-Bed Fusion. Eksploat. Niezawodn. Maint. Reliab. 2021, 11, 176. [Google Scholar]
  9. Walczak, M.; Pieniak, D.; Niewczas, A.M. Effect of recasting on the useful properties CoCrMoW alloy. Eksploat. Niezawodn. Maint. Reliab. 2014, 16, 330–336. [Google Scholar]
  10. Szala, M.; Chocyk, D.; Skic, A.; Kamiński, M.; Macek, W.; Turek, M. Effect of Nitrogen Ion Implantation on the Cavitation Erosion Resistance and Cobalt-Based Solid Solution Phase Transformations of HIPed Stellite 6. Materials 2021, 14, 2324. [Google Scholar] [CrossRef]
  11. Féron, D. 2—Overview of nuclear materials and nuclear corrosion science and engineering. In Nuclear Corrosion Science and Engineering; Féron, D., Ed.; Woodhead Publishing: Sawston, UK, 2012; pp. 31–56. [Google Scholar] [CrossRef]
  12. Griffiths, M. Chapter 9—Ni-Based Alloys for Reactor Internals and Steam Generator Applications. In Structural Alloys for Nuclear Energy Applications; Odette, G.R., Zinkle, S.J., Eds.; Elsevier: Boston, MA, USA, 2019; pp. 349–409. [Google Scholar] [CrossRef]
  13. Yeh, J.W.; Chen, S.K.; Lin, S.J.; Gan, J.Y.; Chin, T.S.; Shun, T.T.; Tsau, C.H.; Chang, S.Y. Nanostructured High-Entropy Alloys with Multiple Principal Elements: Novel Alloy Design Concepts and Outcomes. Adv. Eng. Mater. 2004, 6, 299–303. [Google Scholar] [CrossRef]
  14. Cantor, B.; Chang, I.T.H.; Knight, P.; Vincent, A.J.B. Microstructural development in equiatomic multicomponent alloys. Mater. Sci. Eng. A 2004, 375, 213–218. [Google Scholar] [CrossRef]
  15. Tsai, M.-H.; Yeh, J.-W. High-Entropy Alloys: A Critical Review. Mater. Res. Lett. 2014, 2, 107–123. [Google Scholar] [CrossRef]
  16. Fu, Z.; Chen, W.; Wen, H.; Zhang, D.; Chen, Z.; Zheng, B.; Zhou, Y.; Lavernia, E.J. Microstructure and strengthening mechanisms in an FCC structured single-phase nanocrystalline Co25Ni25Fe25Al7.5Cu17.5 high-entropy alloy. Acta Mater. 2016, 107, 59–71. [Google Scholar] [CrossRef]
  17. Gludovatz, B.; Hohenwarter, A.; Catoor, D.; Chang, E.H.; George, E.P.; Ritchie, R.O. A fracture-resistant high-entropy alloy for cryogenic applications. Science 2014, 345, 1153–1158. [Google Scholar] [CrossRef] [PubMed] [Green Version]
  18. Senkov, O.N.; Wilks, G.B.; Scott, J.M.; Miracle, D.B. Mechanical properties of Nb25Mo25Ta25W25 and V20Nb20Mo20Ta20W20 refractory high entropy alloys. Intermetallics 2011, 19, 698–706. [Google Scholar] [CrossRef]
  19. Feuerbacher, M.; Lienig, T.; Thomas, C. A single-phase bcc high-entropy alloy in the refractory Zr-Nb-Ti-V-Hf system. Scr. Mater. 2018, 152, 40–43. [Google Scholar] [CrossRef] [Green Version]
  20. Youssef, K.M.; Zaddach, A.J.; Niu, C.; Irving, D.L.; Koch, C.C. A Novel Low-Density, High-Hardness, High-entropy Alloy with Close-packed Single-phase Nanocrystalline Structures. Mater. Res. Lett. 2015, 3, 95–99. [Google Scholar] [CrossRef] [Green Version]
  21. Yusenko, K.V.; Riva, S.; Carvalho, P.A.; Yusenko, M.V.; Arnaboldi, S.; Sukhikh, A.S.; Hanfland, M.; Gromilov, S.A. First hexagonal close packed high-entropy alloy with outstanding stability under extreme conditions and electrocatalytic activity for methanol oxidation. Scr. Mater. 2017, 138, 22–27. [Google Scholar] [CrossRef] [Green Version]
  22. Zhu, C.; Lu, Z.P.; Nieh, T.G. Incipient plasticity and dislocation nucleation of FeCoCrNiMn high-entropy alloy. Acta Mater. 2013, 61, 2993–3001. [Google Scholar] [CrossRef]
  23. Senkov, O.N.; Scott, J.M.; Senkova, S.V.; Miracle, D.B.; Woodward, C.F. Microstructure and room temperature properties of a high-entropy TaNbHfZrTi alloy. J. Alloys Compd. 2011, 509, 6043–6048. [Google Scholar] [CrossRef]
  24. Senkov, O.N.; Wilks, G.B.; Miracle, D.B.; Chuang, C.P.; Liaw, P.K. Refractory high-entropy alloys. Intermetallics 2010, 18, 1758–1765. [Google Scholar] [CrossRef]
  25. Chuang, M.-H.; Tsai, M.-H.; Wang, W.-R.; Lin, S.-J.; Yeh, J.-W. Microstructure and wear behavior of AlxCo1.5CrFeNi1.5Tiy high-entropy alloys. Acta Mater. 2011, 59, 6308–6317. [Google Scholar] [CrossRef]
  26. Hsu, C.-Y.; Sheu, T.-S.; Yeh, J.-W.; Chen, S.-K. Effect of iron content on wear behavior of AlCoCrFexMo0.5Ni high-entropy alloys. Wear 2010, 268, 653–659. [Google Scholar] [CrossRef]
  27. Zhou, N.; Hu, T.; Huang, J.; Luo, J. Stabilization of nanocrystalline alloys at high temperatures via utilizing high-entropy grain boundary complexions. Scr. Mater. 2016, 124, 160–163. [Google Scholar] [CrossRef] [Green Version]
  28. Zou, Y.; Maiti, S.; Steurer, W.; Spolenak, R. Size-dependent plasticity in an Nb25Mo25Ta25W25 refractory high-entropy alloy. Acta Mater. 2014, 65, 85–97. [Google Scholar] [CrossRef]
  29. Rowthu, S.; Murty, B.; Kottada, R.S. Alloying, thermal stability and strengthening in spark plasma sintered AlxCoCrCuFeNi high entropy alloys. J. Alloys Compd. 2014, 583, 419–426. [Google Scholar] [CrossRef]
  30. Rodriguez, A.A.; Tylczak, J.H.; Gao, M.C.; Jablonski, P.D.; Detrois, M.; Ziomek-Moroz, M.; Hawk, J.A. Effect of Molybdenum on the Corrosion Behavior of High-Entropy Alloys CoCrFeNi2and CoCrFeNi2Mo0.25 under Sodium Chloride Aqueous Conditions. Adv. Mater. Sci. Eng. 2018, 2018, 3016304. [Google Scholar] [CrossRef] [Green Version]
  31. Chen, Y.Y.; Hong, U.T.; Shih, H.C.; Yeh, J.W.; Duval, T. Electrochemical kinetics of the high entropy alloys in aqueous environments—A comparison with type 304 stainless steel. Corros. Sci. 2005, 47, 2679–2699. [Google Scholar] [CrossRef]
  32. Chen, Y.Y.; Duval, T.; Hung, U.D.; Yeh, J.W.; Shih, H.C. Microstructure and electrochemical properties of high entropy alloys—A comparison with type-304 stainless steel. Corros. Sci. 2005, 47, 2257–2279. [Google Scholar] [CrossRef]
  33. Lin, C.-M.; Tsai, H.-L. Evolution of microstructure, hardness, and corrosion properties of high-entropy Al0.5CoCrFeNi alloy. Intermetallics 2011, 19, 288–294. [Google Scholar] [CrossRef]
  34. Dada, M.; Popoola, P.; Adeosun, S.; Mathe, N. High Entropy Alloys for Aerospace Applications. In Aerodynamics; IntechOpen: London, UK, 2019. [Google Scholar]
  35. Senkov, O.N.; Woodward, C.F. Microstructure and properties of a refractory NbCrMo0.5Ta0.5TiZr alloy. Mater. Sci. Eng. A 2011, 529, 311–320. [Google Scholar] [CrossRef]
  36. Koželj, P.; Vrtnik, S.; Jelen, A.; Jazbec, S.; Jagličić, Z.; Maiti, S.; Feuerbacher, M.; Steurer, W.; Dolinšek, J. Discovery of a Superconducting High-Entropy Alloy. Phys. Rev. Lett. 2014, 113, 107001. [Google Scholar] [CrossRef]
  37. Yuan, Y.; Wu, Y.; Luo, H.; Wang, Z.; Liang, X.; Yang, Z.; Wang, H.; Liu, X.; Lu, Z. Superconducting Ti15Zr15Nb35Ta35 High-Entropy Alloy With Intermediate Electron-Phonon Coupling. Front. Mater. 2018, 5, 72. [Google Scholar] [CrossRef] [Green Version]
  38. Ayyagari, A.; Salloom, R.; Muskeri, S.; Mukherjee, S. Low activation high entropy alloys for next generation nuclear applications. Materialia 2018, 4, 99–103. [Google Scholar] [CrossRef]
  39. Lu, Y.; Huang, H.; Gao, X.; Ren, C.; Gao, J.; Zhang, H.; Zheng, S.; Jin, Q.; Zhao, Y.; Lu, C.; et al. A promising new class of irradiation tolerant materials: Ti2ZrHfV0.5Mo0.2 high-entropy alloy. J. Mater. Sci. Technol. 2019, 35, 369–373. [Google Scholar] [CrossRef]
  40. Wang, J.; Guo, T.; Li, J.; Jia, W.; Kou, H. Microstructure and mechanical properties of non-equilibrium solidified CoCrFeNi high entropy alloy. Mater. Chem. Phys. 2018, 210, 192–196. [Google Scholar] [CrossRef]
  41. Otto, F.; Dlouhý, A.; Somsen, C.; Bei, H.; Eggeler, G.; George, E.P. The influences of temperature and microstructure on the tensile properties of a CoCrFeMnNi high-entropy alloy. Acta Mater. 2013, 61, 5743–5755. [Google Scholar] [CrossRef] [Green Version]
  42. Wani, I.S.; Bhattacharjee, T.; Sheikh, S.; Bhattacharjee, P.P.; Guo, S.; Tsuji, N. Tailoring nanostructures and mechanical properties of AlCoCrFeNi2.1 eutectic high entropy alloy using thermo-mechanical processing. Mater. Sci. Eng. A 2016, 675, 99–109. [Google Scholar] [CrossRef]
  43. Zhang, Y.; Zuo, T.T.; Tang, Z.; Gao, M.C.; Dahmen, K.A.; Liaw, P.K.; Lu, Z.P. Microstructures and properties of high-entropy alloys. Prog. Mater. Sci. 2014, 61, 1–93. [Google Scholar] [CrossRef]
  44. Lu, Y.; Gao, X.; Jiang, L.; Chen, Z.; Wang, T.; Jie, J.; Kang, H.; Zhang, Y.; Guo, S.; Ruan, H.; et al. Directly cast bulk eutectic and near-eutectic high entropy alloys with balanced strength and ductility in a wide temperature range. Acta Mater. 2017, 124, 143–150. [Google Scholar] [CrossRef] [Green Version]
  45. Wani, I.S.; Bhattacharjee, T.; Sheikh, S.; Lu, Y.P.; Chatterjee, S.; Bhattacharjee, P.P.; Guo, S.; Tsuji, N. Ultrafine-Grained AlCoCrFeNi2.1 Eutectic High-Entropy Alloy. Mater. Res. Lett. 2016, 4, 174–179. [Google Scholar] [CrossRef] [Green Version]
  46. Zhu, J.M.; Zhang, H.F.; Fu, H.M.; Wang, A.M.; Li, H.; Hu, Z.Q. Microstructures and compressive properties of multicomponent AlCoCrCuFeNiMox alloys. J. Alloys Compd. 2010, 497, 52–56. [Google Scholar] [CrossRef]
  47. Lu, Y.; Dong, Y.; Guo, S.; Jiang, L.; Kang, H.; Wang, T.; Wen, B.; Wang, Z.; Jie, J.; Cao, Z.; et al. A Promising New Class of High-Temperature Alloys: Eutectic High-Entropy Alloys. Sci. Rep. 2014, 4, 6200. [Google Scholar] [CrossRef]
  48. Jin, X.; Bi, J.; Zhang, L.; Zhou, Y.; Du, X.; Liang, Y.; Li, B. A new CrFeNi2Al eutectic high entropy alloy system with excellent mechanical properties. J. Alloys Compd. 2019, 770, 655–661. [Google Scholar] [CrossRef]
  49. Jin, X.; Zhou, Y.; Zhang, L.; Du, X.; Li, B. A new pseudo binary strategy to design eutectic high entropy alloys using mixing enthalpy and valence electron concentration. Mater. Des. 2018, 143, 49–55. [Google Scholar] [CrossRef]
  50. Liu, D.; Yu, P.; Li, G.; Liaw, P.K.; Liu, R. High-temperature high-entropy alloys AlxCo15Cr15Ni70-x based on the Al-Ni binary system. Mater. Sci. Eng. A 2018, 724, 283–288. [Google Scholar] [CrossRef]
  51. Yin, Y.; Kent, D.; Tan, Q.; Bermingham, M.; Zhang, M.X. Spheroidization behaviour of a Fe-enriched eutectic high-entropy alloy. J. Mater. Sci. Technol. 2020, 51, 173–179. [Google Scholar] [CrossRef]
  52. Jin, X.; Zhou, Y.; Zhang, L.; Du, X.; Li, B. A novel Fe20Co20Ni41Al19 eutectic high entropy alloy with excellent tensile properties. Mater. Lett. 2018, 216, 144–146. [Google Scholar] [CrossRef]
  53. Huo, W.; Zhou, H.; Fang, F.; Zhou, X.; Xie, Z.; Jiang, J. Microstructure and properties of novel CoCrFeNiTax eutectic high-entropy alloys. J. Alloys Compd. 2018, 735, 897–904. [Google Scholar] [CrossRef]
  54. Jiang, H.; Zhang, H.; Huang, T.; Lu, Y.; Wang, T.; Li, T. Microstructures and mechanical properties of Co2MoxNi2VWx eutectic high entropy alloys. Mater. Des. 2016, 109, 539–546. [Google Scholar] [CrossRef]
  55. Rogal, Ł.; Morgiel, J.; Świątek, Z.; Czerwiński, F. Microstructure and mechanical properties of the new Nb25Sc25Ti25Zr25 eutectic high entropy alloy. Mater. Sci. Eng. A 2016, 651, 590–597. [Google Scholar] [CrossRef]
  56. Shuang, S.; Ding, Z.Y.; Chung, D.; Shi, S.Q.; Yang, Y. Corrosion resistant nanostructured eutectic high entropy alloy. Corros. Sci. 2020, 164, 108315. [Google Scholar] [CrossRef]
  57. Lu, Y.; Jiang, H.; Guo, S.; Wang, T.; Cao, Z.; Li, T. A new strategy to design eutectic high-entropy alloys using mixing enthalpy. Intermetallics 2017, 91, 124–128. [Google Scholar] [CrossRef]
  58. Mukarram, M.; Mujahid, M.; Yaqoob, K. Design and development of CoCrFeNiTa eutectic high entropy alloys. J. Mater. Res. Technol. 2021, 10, 1243–1249. [Google Scholar] [CrossRef]
  59. Wang, Z.; Wu, M.; Cai, Z.; Chen, S.; Baker, I. Effect of Ti content on the microstructure and mechanical behavior of (Fe36Ni18Mn33Al13)100−xTix high entropy alloys. Intermetallics 2016, 75, 79–87. [Google Scholar] [CrossRef] [Green Version]
  60. Baker, I.; Meng, F.; Wu, M.; Brandenberg, A. Recrystallization of a novel two-phase FeNiMnAlCr high entropy alloy. J. Alloys Compd. 2016, 656, 458–464. [Google Scholar] [CrossRef] [Green Version]
  61. Wu, Q.; Wang, Z.; Zheng, T.; Chen, D.; Yang, Z.; Li, J.; Kai, J.-J.; Wang, J. A casting eutectic high entropy alloy with superior strength-ductility combination. Mater. Lett. 2019, 253, 268–271. [Google Scholar] [CrossRef]
  62. Jiang, H.; Han, K.; Gao, X.; Lu, Y.; Cao, Z.; Gao, M.C.; Hawk, J.A.; Li, T. A new strategy to design eutectic high-entropy alloys using simple mixture method. Mater. Des. 2018, 142, 101–105. [Google Scholar] [CrossRef]
  63. Jiang, H.; Han, K.; Qiao, D.; Lu, Y.; Cao, Z.; Li, T. Effects of Ta addition on the microstructures and mechanical properties of CoCrFeNi high entropy alloy. Mater. Chem. Phys. 2018, 210, 43–48. [Google Scholar] [CrossRef]
  64. He, F.; Wang, Z.; Cheng, P.; Wang, Q.; Li, J.; Dang, Y.; Wang, J.; Liu, C.T. Designing eutectic high entropy alloys of CoCrFeNiNbx. J. Alloys Compd. 2016, 656, 284–289. [Google Scholar] [CrossRef]
  65. Jiang, L.; Lu, Y.; Dong, Y.; Wang, T.; Cao, Z.; Lu, Y. Effects of Nb addition on structural evolution and properties of the CoFeNi2V0.5 high-entropy alloy. Appl. Phys. A 2015, 119, 291–297. [Google Scholar] [CrossRef]
  66. Vrtnik, S.; Guo, S.; Sheikh, S.; Jelen, A.; Koželj, P.; Luzar, J.; Kocjan, A.; Jagličić, Z.; Meden, A.; Guim, H.; et al. Magnetism of CoCrFeNiZrx eutectic high-entropy alloys. Intermetallics 2018, 93, 122–133. [Google Scholar] [CrossRef]
  67. Rahul, M.R.; Phanikumar, G. Design of a Seven-Component Eutectic High-Entropy Alloy. Metall. Mater. Trans. A 2019, 50, 2594–2598. [Google Scholar] [CrossRef]
  68. Chen, X.; Qi, J.Q.; Sui, Y.W.; He, Y.Z.; Wei, F.X.; Meng, Q.K.; Sun, Z. Effects of aluminum on microstructure and compressive properties of Al-Cr-Fe-Ni eutectic multi-component alloys. Mater. Sci. Eng. A 2017, 681, 25–31. [Google Scholar] [CrossRef]
  69. Liu, S.; Gao, M.C.; Liaw, P.K.; Zhang, Y. Microstructures and mechanical properties of AlxCrFeNiTi0.25 alloys. J. Alloys Compd. 2015, 619, 610–615. [Google Scholar] [CrossRef] [Green Version]
  70. Yaqoob, K.; Joubert, J.-M. Experimental investigation of the Mo–Ni–Re system. J. Alloys Compd. 2013, 559, 101–111. [Google Scholar] [CrossRef]
  71. Yaqoob, K.; Joubert, J.-M. Experimental determination and thermodynamic modeling of the Ni-Re binary system. J. Solid State Chem. 2012, 196, 320–325. [Google Scholar] [CrossRef]
  72. Yaqoob, K.; Crivello, J.-C.; Joubert, J.-M. Thermodynamic modeling of the Mo–Ni system. Calphad 2018, 62, 215–222. [Google Scholar] [CrossRef]
  73. Shun, T.-T.; Chang, L.-Y.; Shiu, M.-H. Microstructure and mechanical properties of multiprincipal component CoCrFeNiMox alloys. Mater. Charact. 2012, 70, 63–67. [Google Scholar] [CrossRef]
  74. Mathieu, R.; Dupin, N.; Crivello, J.C.; Yaqoob, K.; Breidi, A.; Fiorani, J.M.; David, N.; Joubert, J.M. CALPHAD description of the Mo–Re system focused on the sigma phase modeling. Calphad 2013, 43, 18–31. [Google Scholar] [CrossRef]
  75. Yaqoob, K.; Guénée, L.; Cerný, R.; Joubert, J.-M. A modulated structure derived from the phase in the Mo-Ni-Re system. Intermetallics 2013, 37, 42–45. [Google Scholar] [CrossRef]
Figure 1. Pseudo-binary phase diagram of CoCrFeNi-Mo system.
Figure 1. Pseudo-binary phase diagram of CoCrFeNi-Mo system.
Metals 11 01484 g001
Figure 2. XRD patterns of developed HEAs: (a) CoCrFeNi-Mo0.1, (b) CoCrFeNi-Mo0.25, (c) CoCrFeNi-Mo0.5, (d) CoCrFeNi-Mo1.0.
Figure 2. XRD patterns of developed HEAs: (a) CoCrFeNi-Mo0.1, (b) CoCrFeNi-Mo0.25, (c) CoCrFeNi-Mo0.5, (d) CoCrFeNi-Mo1.0.
Metals 11 01484 g002
Figure 3. Scanning electron micrographs of developed HEAs: (a) CoCrFeNi-Mo0.1, (b) CoCrFeNi-Mo0.25, (c) CoCrFeNi-Mo0.5, (d) CoCrFeNi-Mo1.0, (e) CoCrFeNi-Mo1.0 (higher magnification).
Figure 3. Scanning electron micrographs of developed HEAs: (a) CoCrFeNi-Mo0.1, (b) CoCrFeNi-Mo0.25, (c) CoCrFeNi-Mo0.5, (d) CoCrFeNi-Mo1.0, (e) CoCrFeNi-Mo1.0 (higher magnification).
Metals 11 01484 g003aMetals 11 01484 g003b
Figure 4. Modified pseudo-binary phase diagram of CoCrFeNi-Mo system.
Figure 4. Modified pseudo-binary phase diagram of CoCrFeNi-Mo system.
Metals 11 01484 g004
Figure 5. (a) Variation of hardness as a function of amount of Mo in the CoCrFeNiMox HEA; (b) compression testing results for the studied CoCrFeNiMox alloys; (c) variation of yield strength as a function of amount of Mo in the CoCrFeNiMox HEA.
Figure 5. (a) Variation of hardness as a function of amount of Mo in the CoCrFeNiMox HEA; (b) compression testing results for the studied CoCrFeNiMox alloys; (c) variation of yield strength as a function of amount of Mo in the CoCrFeNiMox HEA.
Metals 11 01484 g005
Table 1. Composition of selected HEAs.
Table 1. Composition of selected HEAs.
Name of AlloyComposition of the Alloy
CoCrFeNiMo
xiwt.%xiwt.%xiwt.%xiwt.%xiwt.%
CoCrFeNiMo0.10.24425.10.24422.10.24423.80.244250.0244.0
CoCrFeNiMo0.250.23523.60.23520.80.23522.30.23523.50.0599.8
CoCrFeNiMo0.50.22221.60.22219.00.22220.50.22221.50.11017.4
CoCrFeNiMo1.00.20018.30.20016.20.20017.40.20018.30.20029.8
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Share and Cite

MDPI and ACS Style

Mukarram, M.; Munir, M.A.; Mujahid, M.; Yaqoob, K. Systematic Development of Eutectic High Entropy Alloys by Thermodynamic Modeling and Experimentation: An Example of the CoCrFeNi-Mo System. Metals 2021, 11, 1484. https://doi.org/10.3390/met11091484

AMA Style

Mukarram M, Munir MA, Mujahid M, Yaqoob K. Systematic Development of Eutectic High Entropy Alloys by Thermodynamic Modeling and Experimentation: An Example of the CoCrFeNi-Mo System. Metals. 2021; 11(9):1484. https://doi.org/10.3390/met11091484

Chicago/Turabian Style

Mukarram, Muhammad, M. Awais Munir, Mohammad Mujahid, and Khurram Yaqoob. 2021. "Systematic Development of Eutectic High Entropy Alloys by Thermodynamic Modeling and Experimentation: An Example of the CoCrFeNi-Mo System" Metals 11, no. 9: 1484. https://doi.org/10.3390/met11091484

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop