Abstract
Compared with traditional alloys with one principal component up to 40–90%, multi-principal element alloys (MPEAs) were born in the complicated intermingling of traditional and non-traditional physical metallurgy, and brings us a great amount of excellent performances. Here, we would briefly summarize the potential applications in some key areas, which is helpful for latecomers to quickly and comprehensively understand this new alloy system. Especially, the applications of MPEAs in aerospace, industrial equipment, national defense, energy, navigation and so on are discussed roughly. Subsequently, several emerging areas have also been compared. Finally, some suggestions are given for the future development trend.
Introduction
Metallic materials play an irreplaceable role in the development of industrial civilization, from Bronze Age (about 3000 BC) to intelligent age (since the 21st century). Conventional alloys, such as copper-based alloys, aluminium-based alloys, magnesium-based alloys, and iron-based stainless steel are usually composed of one or two major elements, introducing other metallic/non-metallic elements with appropriate ratios into them to obtain desired performance (; Lee et al., 2018; Li et al., 2018; Sun B. et al., 2021). Obviously, this traditional alloy design concept has not satisfied the growth demand about special function materials in modern industrial civilization due to huge limitation on the composition space.
In the past two decades, multi-principal element alloys (MPEAs) or high entropy alloys (HEAs, consisting of five or more elements) with equal or near-equal mole ratio have attracted widespread attention from related researchers because of their excellent properties in mechanics, chemistry and biology (Yeh et al., 2004; Zhang et al., 2014; Li et al., 2016; Yao et al., 2018; Xie et al., 2019). This trend can be attributed to their unique four core effects, i.e., high-entropy effect, sluggish diffusion, cocktail effect, and lattice-distortion effect. High configuration entropy can effectively prevent the formation of harmful intermetallic compounds like some brittle phases because it significantly reduces the Gibbs free energy of a system, thus promoting the formation of single-phase solid solutions, such as face-centered-cubic (FCC) structure, body-centered-cubic (BCC) structure, and hexagonal-close-packed (HCP) structure in MPEAs (Miracle and Senkov, 2017). A sluggish diffusion effect contributes to hinder grain growth, boost the nucleation of nanoprecipitation, and increase the recrystallization temperature, which is conducive to further tuning microstructures of MPEAs, thus enhancing the comprehensive properties (Tsai et al., 2013). Severe lattice distortion induced by different atom sizes can improve the lattice-fraction stress and become a strong impediment to the dislocation movement, resulting in significant solution strengthening in MPEAs (Tsai et al., 2013). The complexity and variety of MPEAs might be attributed to the cocktail effects. The addition of a lightweight alloying element reduces the density of MPEAs, and furthermore, the introduction of refractory alloying elements significantly improves the melting points of MPEAs. Moreover, the complex interactions between each alloying element further impact the performance of MPEAs (Ranganathan, 2003). For instance, the effect of the Al element in AlxCoCrCuFeNi MPEAs is investigated (). The results suggest that increasing the Al element can enhance the strength whereas decreasing the ductility. This is because that the addition of the Al element promotes the formation of the BCC phase, which acts as a hardening phase.
Up to now, MPEAs as advanced engineering materials have been widely investigated in various fields. For example, four-point-bending high-cycle fatigue and fatigue-crack-growth behaviors of MPEAs are summarized, indicating that before the crack occurs, the plastic deformation behavior is dominated by the nanotwinning (). The effects of composition, crystal structure, valence electron concentration, mixing entropy on the superconducting transition temperatures are reviewed, suggesting that MPEAs can be regarded as a promising superconducting material (Sun and Cava, 2019). In addition, the corrosion-resistant performance of MPEAs and their coatings in various kinds of aqueous solution are discussed in detail. Meanwhile, the influence of composition and processing method on the corrosion resistance are summarized. The results show that element homogenization can significantly improve the corrosion resistance of MPEAs (Shi et al., 2017). However, there is still a lack of a systematic review about engineering/industrial applications of MPEAs. In this review, we will collect and sort out the potential applications in related fields, to navigate the reasonable research direction in the future.
Classification of Engineering Application
To clearly describe the potential applications of MPEAs, the following aspects are divided based on their performances, as shown in Figure 1. For example, the required characteristics of automotive engine materials are high strength for resistance to the combustion pressure, good ductility for preparation of complex engine structures, and light for low carbon energy saving. Here, “7 + X” application areas are discussed in the following section.
FIGURE 1
Mechanics
The characteristics of engineering materials under various forms of loads are called mechanical properties. Metal materials must reach certain mechanical properties to meet the engineering needs.
Strength and Toughness
Metal materials will deform and even cause damage under the action of an external force. The strength of materials refers to the ability of metal materials that resists plastic deformation and fracture under the action of force. Machine parts often bear impact loads during service process. At this time, toughness is used to measure the performance of materials. Toughness refers to the deformation energy absorbed by metal materials before fracture. The FCC MPEA has good plasticity (), which is a good matrix material. The BCC MPEA has high strength and low toughness, compared with the FCC MPEA (Zou et al., 2014; Senkov and Semiatin, 2015; ; Li et al., 2020c; ; Peng et al., 2021). Different from the microstructures of traditional alloys, it induces special deformation mechanisms and leads to excellent strength and toughness.
The equiatomic FeCoCrNiMn MPEA with an FCC single solid-solution phase prepared by a rolling-recrystallization process has excellent damage tolerance at low temperatures (), owing to the multiple deforming machine to improve toughness. At the initial stage of deformation, the significant lattice friction of the MPEA makes it difficult for dislocations to move and increases the strength. In the later stage of deformation, due to the low stacking fault energy of FeCoCrNiMn, deformation twins are generated at the crack tip to prevent crack propagation. This toughness level can be compared with several of the best low-temperature steels, such as some austenitic stainless steels and high nickel steels.
By adjusting the alloy composition, such as reducing the content of Co and Ni and Mn, to reduce the room temperature and low-temperature stability of the FCC phase, the deformation-induced transformation-strengthening can occurs in the MPEA, resulting in very considerable strengthening and plasticizing effect (; ; Li et al., 2016; Ren et al., 2021) (Figure 2A). Transformation induced plasticity (TRIP) includes FCC→HCP and FCC→BCC. The deformation induced FCC→HCP transformation process of the Cr20Mn6Fe34Co34Ni6 MPEA leads that its room-temperature tensile strength reaches 1 GPa and tensile plasticity approaches 60% (; ). Through the deformation induced FCC→BCC transformation strengthening mechanism, the tensile strength of the V10Cr10Co30Fe50 dual phase MPEA at 77 K increases to 2 GPa (Kim et al., 2019).
FIGURE 2
A variety of principal components of MPEA leads to a strong atomic-radius mismatch and modulus mismatch between different elements to provide a good solid-solution-strengthening effect, which has a typical application in the room-temperature and high-temperature strengthening of the refractory high entropy alloy (RHEA) of the BCC phase (Senkov et al., 2011a; Senkov et al., 2011b). NbMoTaWV with high strength and low toughness and HfNbTaTiZr with high toughness and low strength are two classical BCC RHEA systems. Thus, the addition of W and Mo elements with high melting points into HfNbTaTiZr causes additional solid solution strengthening to improve room temperature strength, and maintains toughness (yield strength reaches 700 MPa, and fracture strain approaches 35% at 1,200°C) (Wang M. et al., 2019). The oxygen-containing ordered oxygen complexes (OOCs) formed in HfNbTiZr by doping O atoms (Lei et al., 2018). The pinning effect of OOCs on dislocations is stronger than that of interstitial atoms to promote dislocation cross slip, which leads to a large number of dislocation proliferation and induces high strength and toughness (Lei et al., 2018). On the whole, MPEAs have excellent strength and toughness compared with other conventional alloys (Figure 2B).
Wear Resistance
With the rapid development of aerospace, marine and automotive industries, the friction and wear of power systems and moving parts are more serious. Harsh working conditions put forward higher requirements for the wear resistance of friction pair materials. The wear failure of materials has become a technical bottleneck restricting the rapid development of this field. However, the use of existing conventional materials has reached their limit. MPEAs have excellent wear resistance due to the special effects different from traditional alloys, such as lattice distortion and high entropy effect (Yeh et al., 2004). Many MPEAs have better wear resistance than conventional wear-resistant alloys including SKD61 steel and SUJ2 steel (Figure 3A). MPEA wear-resistant materials mainly include MPEA bulks and MPEA coatings.
FIGURE 3

(A) The hardness vs. wear resistances of various HEAs and other conventional alloys (Wu et al., 2006;
The near-infinite compositional space and solid-solution structures of MPEAs provide a huge configuration space for designing new wear-resistance materials (
In fact, the proportion and type of composition elements determine the solid-solution structure related wear resistance. The additions of Al, V, and Ti elements in MPEAs induce the formation of a strong BCC phase in the matrix, increasing the hardness to improve the wear resistance of MPEAs (Tong et al., 2005;
The application range of MPEA bulk materials is limited due to the preparation process, materials and preparation cost. When MPEAs are used as coating materials, their flexible preparation process, controllable preparation cost, and excellent performance are suitable for extreme environments in the modern industry. A laser cladding (LC) technology is a process of melting and rapid solidification of metal powder by high-energy laser beam, which is widely used to prepare MPEA coatings. Therefore, the compositions of MPEAs has a great influence on the wear resistance. The Al and Ti elements can promote the formation of a strong BCC phase to improve wear resistance (
Creep Resistance
The phenomenon of slow inelastic deformation of metal materials under certain temperature and stress is called creep. Because different forms of fracture failure can occur in metal materials during creep, it is of great significance to study the creep behavior. The MPEA has extraordinary mechanical properties, including the excellent creep resistance, which plays an important role in engineering application at room temperature and low stress, owing to strong diffusion resistance caused by the lattice distortion arising from the difference in atomic sizes (Kang et al., 2018; Tsai et al., 2018; Zhang M. et al., 2021). The CrMnFeCoNi MPEA exhibits excellent creep resistance compared to nickel base alloys as shown in Figure 4 (
FIGURE 4

The log-log of minimum creep rate vs. stress of the CrMnFeCoNi MPEA compared with pure nickel at different temperature (
The compositions of MPEAs can be tuned to obtain the desired microstructure, including the phase structure, which is also one of the key microstructures affecting the creep properties of MPEAs (
Fatigue Resistance
When subjected to alternating load, many metal materials show the ability to absorb a large amount of accumulated strains before the final failure (Suresh, 1998). The accumulation of fatigue damage leads to crack and final failure, which is a common problem in material applications. For the engineering application of the MPEAs, fatigue fracture is an unavoidable problem (
The microstructure of the material determines the fatigue resistance of the alloy. Due to the ultrafine-grained microstructure delays crack initiation whereas the localized transformation within the crack plastic zone delayed crack propagation, the ultrafine-grained microstructure combined with the transformation-induced plasticity is an effective way to design the next generation of fatigue-resistant alloys (Liu et al., 2018, 2019b; Tian et al., 2019; Picak et al., 2021). The grain-refined Fe42Mn28Cr15Co10Si5 MPEA prepared by friction stir processing exhibits significantly high fatigue strength, as compared with phase transformation induced plasticity steels (Liu et al., 2018). The ultrafine-grained CoCrFeMnNi MPEA prepared by equal channel angular pressing demonstrates a superior fatigue life at relatively low strain amplitude (Picak et al., 2021). The small twin spacing and high twin density would exhibit a remarkable fatigue resistance because of the energy dissipation resulting from detwinning during fatigue loading (
Compared with other conventional alloys, MPEAs show strong application potentials about great fatigue resistance, due to the abundant compositional space available for MPEAs. Figure 5 compares fatigue limit and fatigue ratio in a set of structural materials (
FIGURE 5

(A) the endurance limit and (B) fatigue ratio vs. UTS for Al0.5CoCrCuFeNi MPEA and other structural materials (
Suggested Future Investigation
In summary, the type and content of the constituent elements of MPEA, the phase structure, the preparation process and the grain size play a key role in the mechanical properties (including strength, wear resistance, creep and fatigue), and have been extensively studied. In addition, there are some new research directions to improve their mechanical properties, such as eutectic structure and gradient structure (
Physics
In addition to excellent mechanical properties, MPEAs also have attractive physical properties, such as magnetism, resistance, superconductivity and so on (Ye et al., 2016).
Magnetic Behavior
The magnetic properties of alloys are sensitive for component. For MPEAs containing multiple principal element, the addition of more ferromagnetic elements makes it easier to have excellent magnetic properties. There are many studies on the magnetic properties of MPEAs obtained by adding two elements with an equal molar ratio to the FeCoNi matrix, including FeCoNi(A1Si)x (Zhang et al., 2013), FeCoNi(MnSi)x (Li et al., 2019), FeCoNi(NiAl)x (Zhang X. K. et al., 2021), FeCoNi(CuAl)x (Zhang Q. et al., 2017), and FeCoNi (MnAl)x (Li et al., 2017a). The FeCoNi(A1Si)x MPEA with x = 2 presents typical soft magnetic characteristics, which has the characteristics of high saturation magnetization (Ms) and low coercivity (Hc) (Zhang et al., 2013). Here, Ms is the maximum magnetization that can be excited in the external magnetic field; Hc is a physical quantity reflecting the difficulty of the ferromagnet in the excitation and demagnetization stages. Higher Ms/Hc shows better soft magnetic property. The CoFeMn1.2NiGa0.8 exhibits better soft magnetic properties than most reported MPEAs (Sun X. et al., 2021), indicating the addition of Ga can improve the magnetic properties.
The phase constitutions changed by alloying or phase transformation play an important role on the magnetic properties of MPEAs (Marshal et al., 2019; Zhao C. et al., 2021). With the addition of Al in the FeMnCoCr MPEA, the formation of the BCC structure shows a ferromagnetic behavior (Marshal et al., 2019). In the AlCoCrFeNi MPEA, the BCC phase plays a major role to provide a high Ms, but the FCC phase has no effect on magnetic properties (Zhao D. Q. et al., 2021). The effect of the processing technology on the magnetic properties can not be ignored. The annealed FeCoNiMn0.25Al0.25 MPEA exhibits the high Ms and low Hc (Li et al., 2017b), and shows better soft magnetic properties than most other commercialized soft magnets. Therefore, MPEAs have great development potential in the fields of the large power grid equipment, and high-frequency magnetic communication due to excellent magnetic properties (Figure 6).
FIGURE 6

Saturation magnetization vs. coercivity for different MPEA (Li et al., 2021a).
Electrical Property
At present, MPEAs have potential applications in the thermoelectric (TE), conductive, and resistive materials due to their good electrical properties. In the global energy shortage environment, the TE generator with efficient waste heat recovery will be an important means to supplement energy in the future. Compared with the traditional TE materials suitable for the low-temperature region, MPEAs are a potential high-temperature TE material (
FIGURE 7

(A) Thermoelectric figure of merit vs. temperature for CoCrFeNiNbx MPEA (
For achieving higher integration and reliability, the rapid technological progress of nanoscale manufacturing equipment requires the development of advanced resistance films. Lattice distortion can greatly increase the resistivity of the material. The nanotwinned nanocrystalline CoCrFeNi MPEA film prepared by magnetron sputtering has a resistivity as high as 135.1 μΩ cm. The high resistivity is attributed to the strong blocking effect caused by lattice distortion (
Thermal Property
According to the formula K(T) = α(T) × S(T) × ρ(T), thermal conductivity K(T) is generally obtained by measuring the thermal-diffusion coefficient, α(T), specific heat, S(T), and density, ρ(T), of the material at a temperature T, which is an indicator used to measure the thermal-conductivity capacity of materials. The effect of the Al addition on the thermal conductivity is studied in FeCoCrNiNbx, AlxCoCrFeNi and AlxCrFe1.5MnNi0.5Moy alloys (
FIGURE 8

The microstructure and thermal-conductivity of FeCoCrNiNbx MPEA (
Optical Property
With the rapid development of society, energy problems have become increasingly acute. The use of solar energy to obtain thermal energy is an energy harvesting technology that effectively utilizes renewable energy, which can effectively alleviate the increasing energy contradiction (Selvakumar and Barshilia, 2012). Solar selective absorbing coatings (SSACs) are the key components of the concentrating solar power (CSP) systems, among which the spectral selectivity and thermal stability of SSACs are the most important indicators (Wang X. et al., 2017). In order to improve the efficiency of the light-to-heat conversion, SSAC should have high solar absorptance (α) and low thermal emittance (ε) (
Challenge and Prospect
In short, the magnetic and optical properties of MPEAs are sensitive for element composition and phase structure. The configuration entropy and lattice distortion are the key factors to control the thermal and electrical conduction of MPEA. Furthermore, there are some challenging topics that need to be studied in depth, including the effects of magnetic moments (Tsai, 2013), spin (Niu et al., 2015), hall coefficient (Kao et al., 2011), and lattice vibration (Körmann et al., 2017) on physical properties.
Chemistry
Corrosion Resistance
Corrosion is a chemical/electrochemical reaction process between materials and ambient media, such as water, air, acid, and alkali, which greatly affects the service performance and even causes the failure (
FIGURE 9

The relationship between the corrosion-current density and pitting/corrosion potentials of MPEAs and conventional alloys, respectively, in a salt solution (A) and acid solution (B) (Shi et al., 2017).
In fact, same as the conventional alloys, the resistance of MPEAs to corrosion can be attributed to the formation of passive films on the surfaces. The difference is that the passivation elements in MPEAs are easier to distribute uniformly, contributing to the formation of the denser oxide film and effectively reducing the hallow formation (Zhang S. et al., 2016; Xiang et al., 2016). Recently, three Co-Cr-Ni-Al-Ti system MPEAs are prepared by vacuum arc melting to investigate the effect of the passivation elements like Co, Cr, and/or Ni on the corrosion-resistant performance (
On the other hand, the corrosion-resistant performance of MPEA is significantly influenced by different metallurgical processes. Using a laser-cladding-preparation method, the effect of the laser-scanning speed on the corrosion resistance of an AlCrFeCuCo MPEA is investigated (Qiu et al., 2013). The experimental results suggest that the increment of the laser-scanning speed leads to the resistance of the alloy, which firstly becomes better and then worse. The reason for this trend is that lower scanning speed promotes the cooling rate to make a denser surface, whereas a higher scanning speed leads to a rough surface. Moreover, the corrosion resistance of AlCrFeCuCo in a salt solution is better than that in an acid solution. In addition, MPEA coatings with millimetre-scale thicknesses are prepared by electro-spark deposition. Using electro-spark deposition on an AISI 1045 steel, the AlCoCrFeNi MPEA coating has been successfully synthesized, which has a superior corrosion resistance than that of the alloy prepared by casting (Zhang C. et al., 2016). The excellent property stems come from the uniform composition and microstructure as well as the high enough Cr and Al oxide concentrations on the surface. In general, MPEAs have been a promising corrosion-resistant material, which can be suitable for various extreme service environments.
Catalysis
Catalyst not only significantly reduces the energy consumption of reactions, but also effectively improves the reaction speed, and even changes the basic reaction. Therefore, catalyst materials play an irreplaceable role in engineering applications (
Over the past few decades, the emergency of MPEA has provided an infinity possibility for broadening catalytic materials due to their huge composition space and outstanding catalytic performance. Recently, the equimolar CePdPtRhRu MPEA nanoparticles (NPs) synthesized by the carbothermal shock method have been successfully used in the oxidation of ammonia (Yao et al., 2018). The conversion efficiency of NH3 using NPs can be up to 100%, and meanwhile, the selectivity to NOx can reach 99% under a lower temperature. Furthermore, the CePdPtRhRu multimetallic nanoparticles (MMNPs) are made as a comparison by the wet impregnation method. The selectivity to NOx using MMNPs just approach about 18.7% at the same temperature. The significant improvement of catalyst performance is attributed to the solid-solution phase of NPs rather than phase-separated catalytic materials. Moreover, the increment of the Ru and Ce concentrations not only significantly enhances the catalytic performance, but also reduces the consumption of the precious Pt element. In addition, some researchers are also committed to reducing the content of noble metals like Pt and Ru in catalytic MPEAs. The FeNiCuCoMo MPEA NPs (Figure 10) can enhance the decomposition performance of ammonia with an improvement factor of over 20, which exceeds the Ru catalyst and some conventional Co-Mo catalyst (Xie et al., 2019). More interestingly, the catalytic performance can be controlled by tuning the ratio of Co/Mo, thus providing a feasible avenue to maximize the reaction activity at various conditions. More importantly, MPEAs can be used not only for thermal catalysis mentioned above, but also for the methanol oxidation or hydrogen evolution reaction (HER). The NiCoCuFePd MPEA nanotube arrays (NTAs) synthesized by the electrodeposition method show the superior catalyst performance and more stable for the methanol oxidation than conventional Pd NTAs because of their larger surface area and higher mass activity (Wang et al., 2014). It has been reported that the Ni20Fe20Mo10Co35Cr15 MPEA exhibits the better HER electrocatalyst performance than that of some precious metallic catalyst, whose overpotential is just 107 mV in the acid solution (Zhang G. et al., 2018). Overall speaking, MPEAs can be the promising next generation catalytic materials.
FIGURE 10

The conversion and rate (T = 500°C) of NH3 with different Co/Mo ratio (Xie et al., 2019).
Suggested Future Direction
MPEAs have been the promising corrosion-resistant and catalytic materials. For further understanding their corrosion and catalytic behavior to design the novel MPEAs with superior performance, some recommended future work is presented below: 1) understand the fundamental reason of corrosion resistance of MPEAs from atomic scale; 2) realize the collaborative design of corrosion resistance and mechanical properties of MPEAs; 3) it is significant to extend the types of supporting substance for improving the catalytic performance of MPEAs; 4) The gaps between theory and experiments in catalytic application of MPEAs should be filled.
Computer
Multiscale Simulations
Based on experiments, simulations effectively improve the basic understanding of the relationship between deformation and performance, and improve performance by optimizing material compositions and structures (
The elemental mismatch volume, lattice/elastic constant, and stable-stacking-fault energy of RhIrPdPtNiCu are calculated by DFT, which are applied in the yield model (Yin and Curtin, 2019). Through MD simulations, the synergistic strengthening of the precipitation and lattice distortion in MPEAs in a wide temperature range is investigated, explaining the effects of temperature, element order, precipitate spacing/size, and dislocation-cut number on precipitates strengthening (Li et al., 2020a) (Figure 11). The coherent BCC/B2 microstructure in BCC AlNiCoFeCr MPEA is studied by PFM to reveal the evolution of the microstructure, which is revealed to assist in the design of new MPEAs (Li J. L. et al., 2020). Using FEM, the strain distribution and material flow of the AlCoCrFeNi2.1 MPEA give a channel to predict the actual material flow during forging (Rahul et al., 2018). The unique characteristics of MPEAs lead to multi-scale microstructures (atomic-scale lattice distortion, nano-scale short-range order, and micro-scale phase transitions) (Song et al., 2017;
FIGURE 11

The precipitate spacing, precipitate size, element disorder, and temperature dependence of the critical stress (Li et al., 2020a).
Machine Learning
The rapid development of the information technology strongly pushes forward the arrival of the “big data” era, when the data acquisition, storage and extraction become easier. The artificial intelligence (AI) driven by mass data has played an irreplaceable role in the modern society. As the powerful tool in AI, machine learning has been widely used in many fields, such as cancer detection, speech recognition and intelligent controls (Zhang et al., 2008; Rupp et al., 2012; Schmidhuber, 2015), because it can look for the best surrogate model to accurately describe the relationship between the data examples without depending on rules-based programming. At present, machine learning has been successfully used in materials science. The combination of a genetic algorithm and artificial neural network is proposed to construct an accurate “composition-heat treatment conditions-mechanical properties” surrogate model of a low alloy steel (Reddy et al., 2015). The high strength and electrical conductivity copper alloys have been successfully designed by the property-oriented machine learning design strategy (Wang C. et al., 2019; Li L. et al., 2021).
The successful application of machine learning on traditional alloy design has prompted to gradually solve MPEA designs. Recent studies have shown that machine learning methods can further improve the mechanical, physical and chemical properties of MPEAs. For example, the feasible material design method integrating machine learning and experiments (Wen et al., 2019) is proposed to look for the MPEAs with higher hardness in the Al-Co-Cr-Cu-Fe-Ni system. Several alloys with superior hardness than the optimum value in the training dataset have been synthesized via seven experiments. Recently, a method combining high-throughput MD simulations and machine learning is proposed to search for the high strength, low cost and density CoxCryNi(100-x-y) MPEAs (Li et al., 2021b). It has been demonstrated that this method can accurately establish the relationship between composition and ultimate tension strength. The optimum CoCrNi MPEA can be obtained (Figure 12A). More interestingly, some researchers tried to construct an artificial neural networks-like structure to describe the relationship between “composition-heat treatments-microstructures-properties”, for revealing their potential physics mechanism (Steingrimsson et al., 2021). Another important application is to identity and/or optimize the microstructure of MPEAs. The optimal grain size of heterogeneous-grained CrCoFeNi MPEA has been determined by integrating active learning strategy, a physical model and atomic simulation (Li L. et al., 2021). The surrogate model between elemental characteristics and long-term ordering structure in MPEAs is constructed by ANN, whose prediction accuracy can be up to 87% (Zhao C. et al., 2021) (Figure 12B). Furthermore, the deep learning-based optimization, generation, and explanation algorithm (Lee et al., 2021) is proposed to further improve the accuracy and look for the key parameters for phase predictions. The prediction accuracy can be up to 93.1%, which far exceeds results from previous literature. In addition, the mixing entropy and mixing enthalpy are accurately identified.
FIGURE 12

(A) The flowchart of CoCrNi MPEA design strategy by machine learning and high-throughput MD simulations (Li et al., 2021b). (B) An artificial neural networks model describing the relationship between elemental characteristics and long-term ordering structure (Zhao D. Q. et al., 2021).
In physics, machine learning is widely used to develop many-body alloy interatomic potentials for MPEAs, such as Gaussian approximation potential (
FIGURE 13

The flowchart of the combinatorial approach for predicting the physical properties of (Zr0.2Hf0.2Ti0.2Nb0.2Ta0.2)C MPEA.
Future Research
The combination of machine learning and multi-scale models can quickly and accurately develop high-performance MPEAs to shorten the research-development cycle, and reduces resource costs, as well as broaden the applications of MPEA in mechanics, physics and chemistry. However, the existing multi-scale simulation methods in MPEA have not yet covered the meso-scale microstructures, such as short-range order, dislocation cell and dislocation wall, which is an important challenge in the future. Machine learning could be a feasible method to solve this problem.
Medicine
Biomedical metal materials are adopted to diagnose, replace, and/or repair the damaged cells, tissues, and organs by directly contacting or interacting with the human body. These kinds of special function metal materials have been widely used as medical apparatus and instruments and biological implants, such as the scalpel and artificial bone (Laing et al., 1967; Liu et al., 2004). Over the past few decades, the most widely used metal materials in medical applications are Co-based alloys, titanium alloys, stainless steel, shape-memory alloys (SMAs), and some noble metals (Vidal and Muñoz, 2009;
Human Implants
An important application for metallic biomaterials is used as human implants, which requires the materials to have low elastic moduli. The newly developed MPEAs (
FIGURE 14

Yield strength vs. biocompatibility in MPEAs and traditional alloys (Li et al., 2021a).
Medical Coating
Up to now, NiTi-based SMAs have been the most popular metallic materials in medical applications, such as the metal prosthesis and vascular stent. However, the release of Ni ions with significant cytotoxicity and carcinogenicity from NiTi-based SMAs during applications remains a problem to be tackled (Shabalovskaya et al., 2008; Wang et al., 2011). Conventional surface-treatment processes like physical vapor deposition or oxygen ion implantation are adopted to form a TiO2 passive layer on the surface to prevent the Ni ion release and improve corrosion resistance. Nevertheless, a brittle TiO2 coating is easy to form cracks under complex loads, resulting in the release of Ni ions from the broken points (
Recently, MPEAs have attracted a widespread attention from medicine and the related area due to their excellent mechanical properties and biocompatibility. The equimolar TiTaNbZrHf MPEA is first proposed as a medical-coating material used in NiTi-based SMAs (Motallebzadeh et al., 2018;
Outstanding Issue
In summary, extraordinary mechanical properties are the fundamental reasons why MPEAs become widely used medical material. Moreover, future investigations are presented as follows. For example, elemental homogenization has been demonstrated to effectively improve MPEAs related biomedical properties. Therefore, how to optimize processing methods to prevent elemental segregation is crucial. In addition, existing coating approaches need to be further improved to adapt the vast composition space of MPEAs.
Biology
Antibiosis
From ancient times to the present, pathogenic-bacteria/mould-induced diseases, such as influenza, dysentery, and cholera, greatly influences the human health. Therefore, many researchers are committed into developing novel materials with high antibacterial performance. The precipitation of Cu ions in alloys can effectively destroy the protein structure in the bacteria, thus inhibiting the replication of the bacterial DNA and the synthesis of related proteins/enzymes. The release of Ag ions is easy to bind with S atoms in protein, thus effectively destroying bacterial protein structures (
The MPEAs can contain a high content of the Cu element, which significantly enhances the antibacterial properties of the alloy, while keeping outstanding comprehensive mechanical properties. Meanwhile, due to the huge composition space, using the cocktail effect, MPEAs can be used in various complex service conditions by introducing different elements, which greatly broadens the application range of antibacterial materials and its development prospects. Recently, a novel Al0.4CoCrCuFeNi antibacterial high entropy alloy (AHEA) prepared by arc-melting is proposed, whose mechanical properties and antibacterial performance thoroughly defeat conventional Cu-bearing stainless steels (Zhou et al., 2020). The results show that the antibacterial rate against common marine Gram negative Pseudomonas aeruginosa and Gram positive Bifidobacterium Vietnam can be up to 99%, attributed to a high content of the Cu element induced the release of high concentration of Cu ions from the AHEA, as shown in Figure 15. Meanwhile, the AHEA also possesses superior yielding strengths and corrosion resistance than traditional Cu-bearing stainless steels. Because of the abuse of antibiotics over the whole world, some bacteria exhibit high multi-drug-resistance (MDR). Lately, another CoCrCuFeNi AHEA has been successfully synthesized based on the research on the Al0.4CoCrCuFeNi AHEA (
FIGURE 15

The antibacterial mechanism of Cu-bearing MPEA.
Antivirus
Different from bacteria, the virus can only survive by replicating themselves in a living body. The virus usually consists of the essential genetic material (RNA or DNA) and a protein shell that wraps and protects genetic material. Since the ancient times, the existence of the virus has been always a great threat for human health due to their various spreading ways like air, surface contact and water, as well as high variability (
The MPEAs containing the copper element have attracted widespread attention as the high performance antibacterial materials. In addition, Cu-bearing MPEAs have also been reported as antivirus materials. The inactivation rate against the influenza virus H1N1 and enterovirus 71 of the CuFeCoCrNi MPEA can be over 99% in the surface (Li Z. et al., 2021). It can be attributed to that aqueous corrosion induced the release of copper ions (Cu+ or Cu2+), which can form chelate by destroying the nucleic acids and the proteins of the virus, thus leading to the inactivation of the virus. Besides, the formation of a solid metallic oxide like CuO on the surface of the Cu-bearing MPEA can also result in the denaturation of virus. Based on the design concept of MPEAs, the researchers further prepared the Al0.4CuFeCoCrNi MPEA by the addition of the Al element (Li Z. et al., 2021). The results show that the MPEA not only keeps the same antivirus performance as CuFeCoCrNi MPEA, but also possesses superior corrosion resistance and mechanical properties.
Suggested Future Work
In conclusion, because of excellent antibacterial/antivirus performance, the Cu/Ag-bearing MPEAs can be promising antibacterial/antivirus materials. Nevertheless, current related research activities are still insufficient. The optimization of the design concept and process routes for developing novel bio-MPEAs remains a great challenge to be tackled.
Environment
Hydrogen Storage
The CO2 emission induced by the use of fossil fuels is mainly responsible for global greenhouse effect, which has greatly led to the global climate change. As a feasible clean energy to replace traditional fossil fuels, hydrogen has attracted widespread attention from the related fields. However, hydrogen storage remains a huge obstacle for engineering applications due to the flammability of hydrogen. The common hydrogen-storage technologies include liquefied hydrogen storage, metal-hydride hydrogen storage, and high-pressure hydrogen storage (
The first proposed MPEAs for hydrogen absorption/desorption are the Co-Fe-Mn-Ti-V-Zr system (Kao et al., 2010). The CoFeMnTixVZr, CoFeMnTiVyZr, and CoFeMnTiVZrz MPEAs have been demonstrated to be capable of hydrogen absorption/desorption when keeping 0.5 ≤ x ≤ 2.5, 0.4 ≤ y ≤ 3.0, 0.4 ≤ z ≤ 3.0, respectively, via the pressure-composition isotherms (PCIs) tests and kinetic tests under an initial pressure of 9.58 atm. The hydrogen-storage performance of the alloys can be optimized by controlling elemental segregation, formation enthalpy of metal hydride, and lattice constant. In addition, high entropy effect induced the formation of single C14 Laves phase in these alloys can further improve hydrogen-storage performance. Recently, the hydrogen-storage performance of three MPEAs synthesized by arc-melting, including (TiVNb)85Cr15, (TiVNb)75Cr25 and (TiVNb)65Cr35, has been studied (Strozi et al., 2021). The three MPEAs are composed of BCC structure, and especially, they can absorb hydrogen without any activation treatment under room temperature, which can be up to H/M ∼2 (Figures 16A,B). Furthermore, the CrFeNiTiVZr MPEA prepared by laser engineered net shaping (LENS) has also been investigated (Kunce et al., 2013). The MPEA consists of the C14 Laves phase and a little α-Ti solid-solution phase. The C14 Laves phase dominates the hydrogen storage, and the hydrogen-storage capacity of the MPEAs can be up to 1.8 wt% of H2. The microstructure evolution in MPEAs during the hydrogen storage is also important for further improving the hydrogen-storage performance. In the recent researches, the hydrogen absorption performance of TiVZrNbHf MPEA is investigated (Sahlberg et al., 2016). The experimental results show that the novel TiVZrNbHf MPEA exhibits maximum H/M ratio of 2.5, whose capability can be comparable to that of rare-earth elements. The excellent hydrogen-storage performance of this MPEA results from the strain in the distorted FCC or BCT structure in metallic hydride, and promotes the occupation of hydrogen on tetrahedral and octahedral sites (Figure 16C). Furthermore, the in situ SR-XRD result shows that the phase transition from BCC phase to FCC dihydride phase occurs during the hydrogen-absorption process in the TiZrNbHfTa MPEA (Zlotea et al., 2019).
FIGURE 16

Kinetic curves of Ti-V-Nb-Cr MPEA system under room temperature. (A) XRD patterns of Ti-V-Nb-Cr MPEA system after hydrogen absorption (B) (Strozi et al., 2021). The evolution of microstructure in TiVZrNbHf MPEA during the hydrogen-storage (C) (Sahlberg et al., 2016).
Decolorization
The discharge of industrial wastewater containing azo dyes is a great threat to the environment and human health (Ramirez et al., 2007; Sarlar et al., 2020). However, the degradation of azo dyes remains a huge obstacle due to the existence of a stable azo bond (-N=N-) (Tang and An, 1995). Decolorization of wastewater is an effective way to degrade azo dyes. Recently, metallic materials, such as Fe, Mg, Al, and Zn pure elements and their alloys, have been widely used to achieve the degradation of industrial wastewater due to low cost, high efficiency, and easy preparation compared with other traditional technologies (Wang P. et al., 2017; Zhang C. et al., 2017). Nevertheless, their larger scale applications are greatly limited because of poor corrosion resistance and mechanical properties. Therefore, it is urgent to develop novel alloy systems for the degradation of azo dyes.
Over the few years, due to the excellent decolorizing performance to azo dyes and outstanding mechanical properties, MPEAs have attracted widespread attention. A newly-developed AlCoCrTiZn MPEA prepared by mechanical alloying is studied (Lv et al., 2016). The results show that the novel MPEA possesses a high degradation performance to the Direct Blue 6 (a kind of azo dye), which can be comparable to the results observed in the best amorphous alloy reported to this day. The prominent performance of the MPEA to the decolorization of azo dyes can be attributed to their unique atomic structure compared with traditional alloys, consisting of higher specific surface area, unique chemical composition effects, and severer lattice distortion. These characteristics significantly reduce the activation-energy barrier (∼30 kJ/mol), leading to reaction easier to occur compared to the Fe-based metallic glass (Figure 17). Furthermore, the AlFeMnTiM (M = Cr, Co, and Ni) MPEAs have been successfully synthesized via mechanical alloying, which have high efficiency to the decolorizing of azo dye Direct Blue 6 (Wu et al., 2019). Especially, AlFeMnTiCr shows the best decolorizing efficiency and superior catalytic performance, whose degradation performance towards azo dye far exceeds that of common commercial Fe-Si-B amorphous alloy ribbons, even 100 times better than that of industrial zero-valent iron powders. The outstanding decolorizing efficiency mainly owns to the unique atomic structure and the galvanic-cell effect. In general, MPEAs have proved to be valuable and promising decolorizing material for the degradation of the industrial wastewater.
FIGURE 17

(A) The decolorizing performance to azo dyes DB6, (B) the comparison of decolorizing performance with other alloys (Lv et al., 2016).
Future Direction
In short, the outstanding hydrogen storage capacity and decolorizing performance can be attributed to the unique atomic structure, phase stability, severe lattice distortion and four core effects of MPEAs. Nevertheless, there are still some problems that limit the large-scale commercial application of MPEAs. For example, a high mass element like Hf/Zr could decrease the hydrogen-storage performance. Therefore, the lightweight elements could be introduced in the MPEAs in the future to achieve the higher hydrogen-storage ability. In addition, because of rapid reaction between azo dyes and powder MPEAs, how to effectively control the reaction rate is crucial for reducing the consumption of MPEAs and improving their recyclability.
X Applications
In addition to these disciplines, the dynamic-development trend of MPEAs is bound to affect the following disciplines: 1) Geoscience. The exploitation and utilization of nonmetallic/metallic mines for MEAs affect geology, geomorphology, hydrogeology, mineralogy, petrology, and limnology; 2) Anthropology. The transfer of large-scale mines drives the population movement across regions and countries; 3) Economics. The rare-earth metal and noble metal used in MPEAs would undoubtedly affect the price fluctuation of the products from their compositions; 4) Psychology. The emergency of MPEAs has broken the thinking set in the traditional metallurgy strategy, which is an important breakthrough in the cognitive psychology for natural science; 5) Art. The excellent mechanical properties and unique chemical properties of MPEAs greatly broaden the selection of materials for the artwork, which could be more suitable for artists’ ideas and creation; 6) Linguistics. The infinite combination space of MPEAs requires the corresponding new vocabulary to describe. The different permutations and combinations of its words gave birth to new words and promoted the development of phonology; 7) Cognitive science. The new concept and new composition system of MPEAs have expanded human beings’ new understanding.
Of course, this is an important reflection from the big scientific field, to discuss the impact of the development of MPEAs on the progress of society in a wide range.
Concluding Remarks
This review describes the applications of MPEAs on engineering, including mechanics, physics, chemistry, medical science, biology, environment, computer as well as unknown areas. Based on the performance oriented material research and development mode, this approach make it easier to grasp potential application areas. Several outstanding features are summarized, which include the extreme temperature performance, irradiation performance, catalytic performance, and so on. In the future, some potential development points are also considered. This paper puts more emphasis on the application development, to promote scientific progress and technological change in multi-principal element materials.
Statements
Author contributions
JL, QF, and PL conceived the original ideas and supervised this study. YC and BX wrote original draft. BL and YC carried out the revision of this paper.
Funding
The authors would like to deeply appreciate the National Natural Science Foundation of China (51871092, 12072109, and 12172123), and Natural Science Foundation of Hunan Province (2021JJ40032). PL very much appreciates the supports from the National Science Foundation (DMR-1611180 and 1809640).
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
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Summary
Keywords
multi-principal element alloys, engineering applications, mechanical properties, chemical properties, physical properties, biology
Citation
Chen Y, Xie B, Liu B, Cao Y, Li J, Fang Q and Liaw PK (2022) A Focused Review on Engineering Application of Multi-Principal Element Alloy. Front. Mater. 8:816309. doi: 10.3389/fmats.2021.816309
Received
16 November 2021
Accepted
21 December 2021
Published
10 January 2022
Volume
8 - 2021
Edited by
Zhenyu Li, University of Science and Technology of China, China
Reviewed by
Fuyang Tian, University of Science and Technology Beijing, China
Yong Ni, University of Science and Technology of China, China
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© 2022 Chen, Xie, Liu, Cao, Li, Fang and Liaw.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Jia Li, lijia123@hnu.edu.cn; Qihong Fang, fangqh1327@hnu.edu.cn; Peter K. Liaw, pliaw@utk.edu
† These authors have contributed equally to this work
This article was submitted to Computational Materials Science, a section of the journal Frontiers in Materials
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