International Journal of
Materials Technology and Innovation
https://ijmti.journals.ekb.eg/
Volume 2, Issue 1 (2022), pages 67-84
Online ISSN 2682-4299
High Entropy Alloys: The Materials of Future
*
S. El-Hadad
Central Metallurgical Research & Development Institute, P.O. Box 87 Helwan, Cairo, Egypt
*Corresponding author: E-mail:
[email protected]
Received 26 January 2022
Revised 20 June 2022
Accepted for publication 21 June 2022
Published online 25 June 2022
Abstract
High Entropy Alloys (HEAs) have recently attracted the researchers’ attention as a new track in materials design. Research on
HEAs has stimulated new ideas and inspired the exploration of the enormous composition space offered by multi-principal
element alloys. HEAs can be simply described as alloying systems that are composed of multi-elements in equimolar or near
equimolar ratio. Therefore, HEAs have unique properties which significantly differ from the traditional alloy systems. The
current review article is concerned with the definition of HEAs, their development history, and their four core effects which
make them different from the traditional alloys. Fabrication routes of HEAs with special emphasis on processing via casting
technique are surveyed. The innovative microstructure of HEAs that lead to extraordinary mechanical properties is also
discussed. Finally, the promising industrial applications and the future insights of these multi principal alloys are covered.
Keywords: High Entropy Alloys; Design system; Microstructure; Fabrication Routes; Applications.
1.
Introduction
Metals have been the most essential materials for
thousands of years; however, their utilization is
influenced by monetary and environmental concerns.
For example, few weight percentages of Cu were
added to Ag to produce an alloy for coinage a long
time ago, because pure Ag is too soft, and also Cu was
added to Fe in historical instances to enhance its
strength. This means that the approach of
compositional adjustment of alloys has been used for
a long time to lend desirable properties to materials.
Except for some cases, the basic alloying concept of
small elemental additives as secondary elements to a
primary element has remained fixed over millennia
[1]. Typically, at the beginning of the modern era,
classical alloys such as aluminum alloys or steels
involved the addition of relatively small amounts of
secondary elements to a primary element (e.g., Fe plus
C or Al plus Cu). Later on, stainless steels, Ni-based
superalloys, Ti-alloys, and composites have been
introduced and widely applied in different industries.
However, with these extensive efforts on developing
these traditional alloys, the development process is
approaching its limits. On the other hand, the
continued development of high-performance
IJMTI vol. 2, issue 1 (2022) 67- 84
materials is necessary to increase energy efficiency
and sustainability [2].
Recently, a new alloying
design that combines several principal elements in
high concentrations to have new materials named
high-entropy alloys (HEAs) has been emerging. Highentropy alloys have significantly extended the
compositional space for alloys design. This variety of
elemental selection in HEAs can alleviate some of the
concerns that are related to increasing strength while
maintaining good ductility [3, 4].
In the current review, the historical background
of HEAs, their definitions, their design strategies, and
their unique properties are introduced. This is
followed by presenting the fabrication routes of HEAs
with special emphasis on casting technique and
finally, the industrial applications and future insights
of these multi principal alloys are discussed.
2. Historical background of HEAs
The initial study on multi-principal element
crystalline alloys (MPECAs) began as an
undergraduate project in the late 1970s and was
followed by another undergraduate thesis in 1998.
These studies were modified and expanded further and
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published in 2002 as conference proceedings.
Research on HEAs, as a group of MPECAs, started as
a series of projects and theses in 1996 [5]. From the
results of these projects, Yeh et al. [6-8] and Cantor et
al. [9-11] independently published the first papers on
high HEAs in 2004, introducing HEAs as alloys of
five or more metals in near-equimolar/ equimolar
concentrations.
Yeh and co-workers [6-8] thought to increase the
configurational entropy of mixing by an amount
sufficient to reduce Gibbs free energy, thereby
preventing the formation of harmful intermetallics and
forming solid solutions (SS) instead. This was an
intuitive idea because the conventional view based on
binary phase diagrams is that the probability of
reaction and compound formation increases if the
number of elements in the concentrated alloys
increases. The reasoning of this was given by Yeh et
al [7] as follows: if the elements in an alloy increased,
the contribution of entropy to the total free energy
would exceed the enthalpy contribution and, thereby,
solid solutions are stabilized.
Nowadays, the HEAs field has emerged quickly
and is not only limited to single-phase solid solution
microstructure. HEAs have then been upgraded to
complex concentrated alloys that have multi phases.
Several pieces of research have been devoted to
reviewing HEAs from a thermodynamics point of
view [12-15]. Others [16,17] focused on their
fabrication techniques based on gas, liquid, or solid
processing methods. Some recent works have been
concerned with the microstructure features and
mechanical properties of HEAs, hence demonstrating
their potential applications where they can outperform
conventional alloys [18-20]. Gao et al [21] in their
published book showed that the number of
publications on HEAs increased significantly from six
papers in 2004 to 371 in 2015. This clearly reflects the
worldwide growing trend of research on HEAs.
3. Definitions of HEAs
High-entropy alloys which have recently grasped
the attention due to their unique microstructures,
compositions, and controllable properties can be
defined in different ways. Simply, HEAs can be
defined as solid solution alloys that have equal to or
more than five main elements in equal or near-equal
atomic percent [22]. Yeh et al. [7,8], and Cantor et al.
[9] named HEAS as multi-component alloys. There
are also some similar names, such as equimolar alloys,
multi-principal-elements alloys, equiatomic ratio
alloys, and substitutional alloys [23]. Figure 1
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explains the difference between HEAs with multiprincipal elements and conventional alloys.
a)
b)
Fig. 1 Illustration of a) Conventional alloys and b)
high entropy alloys.
All the prementioned names refer to the same
concept which is the composition-based definition.
This kind of definition, however, prescribes elemental
concentration ns only and does not take into
consideration the magnitude of entropy. Moreover,
this definition further neglects the presence of a
single-phase SS [3- 5]. Another way of defining
HEAs is an entropy-based concept. This alternate
definition divides the alloys based on their entropy
into low, medium, and high entropy alloys [24]. Yeh
et al. [25] categorized the alloys as a function of ΔSconf
(the configurational entropy). According to this
approach, alloys can be considered as HEAs when
their ΔSconf at a random state is higher than 1.5R (R:
gas constant), regardless of whether they are
single/multiphase at room temperature (RT). When
the values of ΔSconf fall in the range from 1R to 1.5R,
alloys are classified as Medium Entropy Alloys
(MEAs). Finally, commercial aluminum (7075) and
magnesium (AZ91D) alloys that have ΔSconf less than
1R are defined as low entropy alloys (LEAs).
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The entropy-based definition is challenging,
however, can cause confusion if the composition is
considered along with the entropy. These challenges
become more complicated if the prementioned
definitions are mixed with the targeted outcome of
producing single-phase SS alloys [22, 23]. Some
researchers [26], restricted the definition by
considering HEAs is the alloy that contains (singlephase or be equimolar) and others broadened the
definition scope (to include 4 component systems and
alloys with SSS, ideal > 1.36R or SSS, ideal > 1.5R).
Earlier definitions prefer atom configurations at the
highest temperatures and thus including the liquid
state, while later interpretations emphasize lower
temperatures [27]. Concluding, there is no correct or
mistaken definition, and the appropriate approach will
be related to the work being performed. Considering,
the different principal elements system of HEAs,
some effects that are much less important in the
conventional alloys are considered essential in HEAs.
These effects are called the four ‘core effects’ of
HEAs.
4. The Four Core Effects of HEAs
There are several factors that influence the
microstructure and hence the properties of HEAs.
Among these, there are four factors that are the most
influential and they are known as the ‘four core
effects’ [27]. In terms of properties, the ‘cocktail
effect’ is the governing factor that is related to the
mixture rule that includes the interactions of the atoms
and the severe lattice distortion. From a
thermodynamics point of view, the ‘high entropy’
effect is the most influential since it interferes with the
formation of complex phases. For kinetics, there is an
effect called ‘sluggish diffusion’ which possibly
slowdown phase transformation. The fourth effect is
the ‘severe lattice distortion’ which could change the
properties to an extent. Following is a detailed
description of each effect and how it contributes to the
microstructure and properties of HEAs [28].
of the constituting phases by the influence of phasetype, shape, properties, and distribution [27,28].
Further, each phase is a multi-element solid solution
and can be considered as an atomic-scale composite.
The composite properties rely not only on the
properties of the composing elements following the
mixing rule but also on the severe lattice distortion and
the interactions between all the elements [25].
Therefore, it is important for a material designer to
properly correlate all the factors involved before
choosing the suitable composition and manufacturing
processes for HEAs.
Examples that explain the cocktail effect can be
found in different systems such as the addition of Al
which is a soft and low-melting-point element that can
actually harden HEAs. Figure 2 [28] shows the plot of
AlxCoCrCuFeNi alloy hardness as a function of Al
at.%. It is observed that the Al significantly enhances
the alloy hardness. This is partly because of the strong
cohesive bonding between the existing elements and
Al, its larger atomic size, and also due to the formation
of a hard BCC phase. Thus, the macroscopic
properties of HEA are highly influenced by the excess
elemental quantities produced by reactions between
elements and lattice distortion and not only by the
averaged properties of the constituting elements [30].
Fig. 2 Hardness distribution in AlxCoCrCuFeNi
alloys vrs. Al content [28].
4.1. Cocktail Effect
This effect relates the properties of HEAs to their
composing phases and elements. This effect should be
majorly emphasized in HEAs since at least five main
elements participate in the properties of the material
[29]. As mentioned above, HEAs might be singlephase or multi phases alloys relying on the
composition and the processing method. Concluding,
the HEAs’ properties are from the whole contribution
4.2. High Entropy Effect
The high-entropy effect is founded on the concept
that as the mixing configurational entropy increases,
the free energy of solid solution phases decreases, and
thus they can be easily formed, especially at higher
temperatures hence (G= H-TS), where H is enthalpy,
G is the Gibbs-free energy, S is entropy and T is
temperature [31]. However, not all the multi-elements
in the equimolar ratio form solid solutions at the
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central point of the phase diagram. It has been also
reported that only accurately selected compositions
that satisfy the HEAs-formation criteria form solid
solutions rather than intermetallic compounds [25,
28]. The solid-solution phase as understood from the
theoretical physical metallurgy is named a terminal
solid solution which is based on one element as a
solvent, and other minor elements as solutes. In the
case of HEAs, because of the equimolar portions of
the elements, it is very hard to differentiate the solute
from the solvent. It has also been reported that in the
multi-principal-element alloys, the number of phases
that can be formed is much lower than the maximum
number of phases that are calculated based on the
Gibbs phase rule [32] and they are almost simple
phases of face-centered-cubic (FCC) or bodycentered-cubic (BCC) solid solutions [33]. Based on
the above discussion, the design of HEAs can extend
the solution limits between the various elements,
which confirms the contribution of the “high entropy
effect”.
degree of sluggish diffusion (Q/Tm) is related to the
number of elements in that matrix. The Q/Tm
(activation energy/melting point) values which refer
to the degree of sluggish diffusion are the highest in
CoCrFeMnNi HEAs, Fe-Cr-Ni (-Si) alloys are the 2nd
and pure metals are the lowest. [35].
4.3. Sluggish Effect
It is well known that in order to form new phases,
diffusion of a large number of different atoms should
occur to fulfill the partitioning of composition in
HEAs. However, in crystalline HEAs, there are
limited vacancies that are needed for substitutional
diffusion. This is due to the fact that every vacancy is
also accompanied by excess mixing entropy and
positive enthalpy of formation, which in its turn
minimizes the mixing free energy for a certain
temperature at a specific equilibrium concentration
[34]. In the solute matrix, each vacancy is surrounded
by different elemental atoms during diffusion. It has
been suggested that higher activation energy and
slower diffusion in HEAs are due to the large variation
of lattice potential energy (LPE) among lattice sites.
The numerous low-LPE sites act as traps and suppress
atomic diffusion, which is the so-called ‘sluggish
diffusion effect’ [29].
Yeh [36] calculated the coefficients of diffusion
for the elements in HEAs, stainless steel, and pure
metals. The values of diffusion rates were as follow:
HEAs < stainless steels < pure metals. This
comparison emphasizes the role of the ‘sluggish
diffusion effect’ in controlling the phase formation in
HEAs. Tsai et al [35] in their work on the near-ideal
solution system of Co-Cr-Fe-Mn-Ni single-phase
FCC solid solution, proved that the degree of sluggish
diffusion is related to the number of elements in that
matrix for the same element. Figure 3 shows that the
Fig. 3 Melting-point normalized activation energy of
diffusion for Cr, Mn, Fe, Co, and Ni in different
matrices [35].
4.4. Severe Lattice Distortion Effect
The effect called ‘severe lattice-distortion’
implies that each atom suffers both stress and lattice
strain due to the atomic size differences with the
surrounding atoms in the multi-element matrix of
HEAs as illustrated in Fig. 4.
Fig. 4 Severe lattice distortion with elements addition
[25].
Also, the differences in the bonding energy and crystal
structure might increase lattice distortion further due
to the non-symmetrical bindings and electronic
structure that exist between the neighboring atoms
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[36]. Moreover, this non-symmetry is not identical
which increases the distortion severity compared to
the conventional alloys that are based on one principal
element [37].
5. Manufacturing Routes of HEAs
The high-entropy alloys are basically prepared in
the same way as the conventional alloys. The most
common classification of HEAs manufacturing
methods is based on the initial state of the material.
Liquid state processing includes casting, plasma
spray, and laser melting, gas state-based processing
comprises the different sputtering techniques while
fabrication in solid-state involves mechanical alloying
and consolidation [33,38]. Regardless of the
fabrication method of HEAs, the most essential issue
is to properly mix the different elements to make
HEAs with the desired structures and to maximize the
contribution of every element to the properties whilst
maintaining high entropy of mixing. Zhang et al [39],
stated that manufacturing routes of HEAs can be
chosen based on the required shape and dimensions.
Accordingly, there are four types of HEAs based on
their dimension: zero-dimensional HEAs (powders),
one-dimension HEAs (fibers), two-dimension HEAs
(high-entropy films and coatings), and finally threedimension HEAs (bulk).
Following this
classification, of Table 1 shows the manufacturing
processes of HEAs based on their dimensions as
adapted from [39]. For example, ball milling is used
to produce powders, laser cladding deposit coatings
while induction melting, arc melting and Bridgeman
methods are used to process bulk HEAs.
Table. 1 Manufacturing processes of HEAs based on
their dimensions.
best fabricated by co-sputtering or high gravity
casting. Single crystal HEAs are prepared by liquid
metal processing using the Bridgman solidification
method [37,39].
In the following subsections, separate examples
of the most widely used HEAs processing methods
are outlined with special focus on processing by
melting and casting.Fig. 8 the manufacturing
processes of HEAs based on their dimensions [39].
5.1. Processing by Mechanical Alloying (0-D
HEAs)
Mechanical alloying is simply three steps
process. Firstly, the alloy material is ground in a ball
mill, then the produced HEAs powder is consolidated
by one of the prementioned methods to be compressed
and sintered. Finally, heat treatment is carried out to
relieve existing internal stresses produced during cold
compaction. The ‘‘MA + SPS’’ method is considered
the most suitable fabrication method in manufacturing
HEAs based on solid-state. SPS process consists of the
application of pressure under a high heating rate and
under the influence of an electric current [40]. The
HEAs prepared by the ‘‘MA + SPS’’ method exhibit
distinguished mechanical properties. The hardness of
CoCrFeNi HEAs prepared by ‘‘MA + SPS’’
technique (570 HV), is 5 times greater than that by the
conventional casting (119 HV) as reported by Praveen
et al [41].
5.2. Processing by melt extraction technique
(1-D HEAs)
The melt-extraction technique is a good choice
when HEAs fibers are required. Firstly, a quartz glass
wherein the rod material is inserted inside the boron
nitride crucible, surrounded by an induction coil, and
the rods are heated to melt continuously the fed metal
bar. The HEAs fiber filament is then pulled out and
cooled rapidly as exits from the rotating copper wheel
under an argon atmosphere.
HEAs type
Manufacturing processes
Powders
Ball milling-Carbothermal shock
synthesis
Fibers
Melt spinning- Taylor/Ulitovsky
method
Films
Laser cladding- Magnetron
sputtering
5.3. Processing by Sputtering Technique (2-D
HEAs)
Bulk
Bridgeman method- Induction
melting-arc melting
Processing HEAs using gas state-based method has
been developed to produce coatings for tribological
applications. It can be done using the gas puttering
technique [44, 45]. In this process, a thin film is
deposited onto a substrate by sputtering the atoms
away from a target under the gas ion bombardment.
Excellent coatings could be achieved, Fig. 5 [46],
using this technique depending on the gas flow ratio.
Another issue that should be considered while
selecting the manufacturing route; is the desired
microstructure of HEAs product. If HEAs metal
glasses are required then copper-mold suction casting
is the suitable method. Gradient structures HEAs are
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substrate [4]. According to the heating sources,
cladding can be divided into laser cladding and plasma
cladding. For example, alloy Al1.5CrFeNiTi0.5W0.5
was manufactured by Liang et al. [47] using laser
cladding on 304 stainless steel, and the HEA coating
shows the optimum wear resistance. Figures 6 & 7
[48] show the differences between laser and plasma
spray cladding processes respectively.
Fig. 6 Laser beam cladding process.
Fig. 7 Plasma spray cladding [48].
Fig.5
SEM
surface
morphologies
of
(AlCrTaTiZr)Nx coatings deposited with different
N2-to-total flow ratios (RN): (a) surface and (b)
cross-section for RN = 0%; (c) surface and (d) crosssection for RN = 10% [46].
5.4. Processing by cladding (2D -HEAs)
In the surface cladding process, an additive
cladding layer is first built to cover the substrate
surface then this layer melts with energy heating into
a thin layer to form a metallurgical bonding with the
5.5. Processing by Casting Technique (3D-HEAs)
Processing HEAs in the liquid state is performed
by casting. Casting is an advantageous method by
being an economical technique that can process HEAs
when bulk/3-D HEAs are required [16]. There are
three melting methods to process HEAs: arc melting,
induction melting, and Bridgman solidification. In the
case of HEAs liquid processing, elemental
segregation should be considered since there are
various principal elements are included. Moreover,
the melting process should be repeated 5 times or
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more depending on the fluidity of the alloy
constituents. Further, the differences in the melting
points of the constituting elements will increase with
increasing the number of components [27]. Therefore,
choosing the cocktail of HEAs elements along with
the proper melting process should be considered. The
selection of suitable melting methods relies on the
type of elements, the desired microstructure, and the
product shape. In the following subsections, the
different methods to melt HEAs and to control their
solidified microstructure are discussed.
5.5.1 Melting Methods
5.5.1.1 Arc Melting
Arc melting is the most popular liquid processing
method of HEAs. In the case of melting by arc, the
charge that consists of several elements is inserted into
the copper melting pot that is cooled by water, and the
torch is applied closely. The torch temperature of the
furnace can be increased to higher than 3000 oC by
controlling the electrical power [49]. Arc melting is
therefore the ideal method to melt refractory HEAs.
The process should be repeated several times to ensure
homogeneity of the produced sample. In the case of
reactive metals, the open-air arc furnace system,
however, is not suitable. For example, titaniumcontaining HEAs should be melted using a vacuum
arc furnace. A schematic representation of the vacuum
arc melting process is shown in Fig. 8 [49].
Fig. 8 A schematic representation of the vacuum arc
melting process [49].
A photograph of the melting chamber of an arc
furnace that works under a vacuum is also shown in
Fig. 9. The furnace has three main units: melting
chamber, control unit, and chiller. As the first step, the
pieces of pure metals are placed in the water-cooled
crucible and the melting chamber is evacuated. When
the vacuum reaches the required degree, argon gas is
injected into the vacuum chamber then the high
voltage is applied between the copper crucible and the
arc gun. Once the arc touches the copper crucible, the
arc is initiated. It is also recommended to apply
electromagnetic stirring to ensure homogeneity of the
produced HEAs in addition to repeating the melting
process. Figure 10 shows the influence of remelting
under electromagnetic stirring on the homogeneity of
Ti5553 alloy using vacuum arc melting.
Fig. 9 A photograph of the arc melting chamber.
Fig. 10 Homogenization of an arc melted sample by
repeating the melting process.
In regards to the properties of cast HEAs, Zhang
et al. [50] prepared CrFeVTa0.2W0.2 and
CrFeVTa0.1W0.1 HEAs by arc melting and the alloy
samples showed excellent resistance to heatsoftening. The yield stress of these alloys at the
temperature range of 600–800°C exceeded that of
Inconel 718 and Haynes 230 superalloys. Ma et al.
[51] melted Al0.5CrCuFeNi2 HEAs in an arc melting
furnace. The cast specimen exhibited FCC solid
solution with a dendrite structure. Both of
Nb25Mo25Ta25W25 and V20Nb20Mo20Ta20W20 alloys
were obtained with single-phase BCC structures using
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arc melting in the work of Senkov et al [52]. Qin et al
[53] reported a new equiatomic-ratio CoCrCuMnNi
HEAs, which they prepared using vacuum arc
melting. The as-cast alloy exhibited excellent
mechanical properties with yield strength, tensile
strength, and elongation of 458 MPa, 742 MPa and 40
% respectively. They observed that the nanometer
precipitates (5–50 nm in size) that are found in
dendrite and inter-dendrite zones of HEA are the key
factor of these excellent properties.
Arc melting method, however, is not a suitable
method for all HEAs systems. Low melting
temperatures HEAs containing, e.g., Mg, Zn, and Mn
can be evaporated under such high temperatures of the
melting torch. Therefore, resistance heating or
induction heating are recommended in this case.
5.5.1.2 Resistance Melting
Resistance furnaces can be used to melt HEAs
which do not require either high heating power or a
vacuum system. In this furnace, a solid charge is
positioned inside the crucible and then heated by
radiation from the electric-resistance coils. The
molten metal can be lifted out through the spout (hole)
by tilting the whole furnace. Figure 11 [54] shows a
schematic of a resistance furnace that is equipped with
a stirrer to ensure homogeneity of the processed HEAs
and a degassing system to avoid metals oxidation.
such as HEAs may favor low frequency to enable the
stirring of the different elements. Induction furnaces
are speed melting furnaces and therefore, they are
widely used in the industry they are ideal to prepare
HEAs whether ferrous or nonferrous groups except for
those containing refractory metals. Induction melting
is generally distinguished by the ability to produce
homogeneous
compositions,
distribute
the
temperature within the molten metal uniformly and
control the furnace atmosphere. Repetition of the
melting process in the case of HEAs is necessary to
obtain a homogenized sample.
In our previous work [56] a Fe31Mn28
Ni15Al24.5Tix alloy was melted in an induction furnace
and a lamellar microstructure that contains two
phases: a lamellar structure (ordered BCC) that
consists of mainly Al and Ni with some Fe and Mn
and the second phase/lamella (FCC) was composed of
Fe and Mn with some Ni and Al. it was observed that
adding Ti by 3 wt.% significantly improves the
hardness of the alloy from 300 to 500 (Hv) by the
combined effect of solid solution strengthening and
decreasing the lamellar spacing.
Fig. 12 Induction melting method [55].
Fig. 11 Schematic of a resistance furnace equipped
with a stirrer and degassing system [54].
5.5.1.3 Induction Melting
In Induction furnaces, an electric-induction coil is
embedded into the furnace walls, Fig. 12 [55]. The
induced current in this case heats any metallic object
that obstructs the electromagnetic flux. Low and highfrequency induction furnaces are available. Alloys,
As mentioned in section 5.5.1, if reactive metals
as Ti will be included as a principal element in the
HEAs, vacuum induction melting should be used to
avoid the high affinity of Ti to oxygen. Figure 13
shows a small size vacuum induction melting furnace.
In this furnace, the ceramic mold that contains the
cavity is prepared by investment casting, and the
pieces of different metals are inserted into the crucible
then the chamber is closed and a vacuum is applied.
Once the melting process is completed, pouring into
the mold cavity starts by pressing the start button in
the control panel. Concluding, HEAs containing
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reactive metals can be successfully prepared using
vacuum induction melting.
Fig. 13 Vacuum Induction melting furnace.
5.5.1.4 Induction-levitation-melting
Another induction melting technique is called
“Induction-levitation-melting” (ILM) has been
suggested by Xia et al [57]. In this method, there is a
vacuum chamber in which the pure metals are inserted
into a copper crucible (water-cooled). High purity
argon gas is then supplied to the chamber to melt
under a protective atmosphere. After the induction
coil that surrounds the crucible is electrified, the
charge is heated using the induced current. This
process is effective and takes short time due to the
good conductivity of metals. Additionally, stirring by
the electromagnetic field is applied which is helpful in
homogenizing the alloy during melting. Xia et al. [57]
reported that AlxCoCrFeNi HEAs prepared by this
method have the same structures as those prepared by
arc melting. However, this approach has an advantage
over arc melting that is larger sized (> 1 Kg) samples
can be produced [58]. Figure 14 [59] describes
schematically the ILM method.
5.5.2 Solidification methods
The kinetics through which the microstructure of
HEAs is formed during processing in the liquid state
was described by Singh [60]. This figure shows that
the microstructure of HEAs strongly depends on the
cooling rate. The low cooling rates favor the formation
of dendritic/interdendritic microstructures because of
the elemental segregation. On the other hand, high
cooling rates result in polycrystalline phases with few
nanometers in size. To summarize, in order to obtain
HEAs with single solid solution, high cooling rates
should be applied to avoid the formation of multiple
phases
which
decreases
dramatically the
configurational entropy of mixing [21, 23].
Zhang et al [16], stated that the grain growth that
occurs during the solidification of HEAs can be
controlled by both the gravitational field and
temperature field. The gravitational field encourages
gravity segregation and hence promotes the formation
of microstructural and compositional gradients in the
HEAs. The copper-mold suction method, on the other
hand, is used to increase the cooling rate during the
solidification process. Bridgman method is mainly
applied to control the direction of the solidifying
melts. The different solidification methods that are
used to control the microstructure of HEAs are
described below.
5.5.2.1 High Gravity Method
In this method, the centrifugal force is applied to
simulate the external gravity field during
solidification. This results in pushing the denser
elements along the direction of gravity thus creating a
compositional gradient from inside the ingot. The
alloy ingots are then cut into a series of samples with
graded compositions [61]. The AlxCoCrFeNi HEAs
that are prepared under high-gravity exhibit dendritic
microstructures. The structure of AlxCoCrFeNi
changes from single-phase FCC to BCC when x varies
from 0 to 1.
5.5.2.2 Copper Mold Suction Method
Fig. 14
[59].
Schematic of induction-levitation-melting
In this method, HEAs melt is sucked into a copper
mold cavity under the driving of negative pressure.
The excellent heat conductivity of copper promotes
high cooling rates. It has been reported that, even at
high cooling rates, HEAs still can form solid solutions
due to their stable high mixing entropy [62]. This
method is mainly applied when bulk metallic glasses
are required to restrain recrystallization [16]. Zhou et
al. [63] melt AlCoCrFeNiTix HEAs in an arc melting
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furnace, then the ingot was injected into a copper mold
(water-cooled) to obtain cylindrical rods with a
diameter of 5 mm. Samples that are composed of BCC
solid solution, showed excellent compressive
mechanical properties.
5.5.2.3 Bridgeman Solidification Method
Bridgman solidification is a technique that is used
to grow single-crystal ingots. In this method, the
polycrystalline material is heated to a temperature that
is above its melting point and then cooled down
slowly from the end of the container, where a seed
crystal is placed. A single crystal (with the same
crystallographic orientation as the seed material)
grows on the seed, and forms progressively along the
length of the container [64]. The thickness of this
spiral (seed) should be close to the grain size in order
to allow one grain only to enter the mold cavity.
Figure 15 shows a photograph and a simple schematic
of the Bridgeman method [65].
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extremely low withdrawal velocity to the same alloy
that was produced by the copper mold method and
found that in the former case, equiaxed grains was
obtained while in the latter, a dendritic structure was
observed. This difference was owed to the ratio of a
temperature gradient to that of growth velocity (G/V).
In the case of Bridgman solidification, G/V is much
higher than in the copper-mold method. This is
translated to lower constitutional undercooling of the
alloy which in turn restrain the dendrite formation.
Zuo et al. [67] also produced FeCoNiAlSi HEAs via
the Bridgman solidification method. The soft
magnetic properties obtained were better than those
prepared by arc melting. In another research for Ma et
al [68], they could process single-crystal
CoCrFeNiAl0.3 HEAs with superior elongation under
Bridgman solidification conditions. They referred to
such excellent ductility to the presence of low-angle
grain boundaries so less distance to dislocation motion
and also their single <001> crystallographic
orientation
which
decreases
plastic-strain
incompatibility.
6. Microstructure Design Strategy of HEAs
HEAs are complex alloys that contain several
principal elements and hence a very wide range of
microstructures exists. Nanocrystalline, amorphous,
single/ multi phases are all expected in HEAs [6]. This
section discusses the phase and crystal structure of
HEAs. This is followed by, answering a question
about the prediction of phases in HEAs and their
structure. Finally, the type of phases which possibly
form at high temperatures is also discussed.
6.1 Phase and Crystal Structure
Fig. 15 A photograph and schematic representation
of Bridgeman solidification [65].
Ma et al. [66] compared the morphology of
AlCoCrFeNi alloy solidified by Bridgman under
In traditional alloys, phases are categorized into
three types: intermetallic compounds, terminal
solutions, and intermediate solutions. The
intermetallic compounds have fixed compositions and
are stoichiometric. Terminal phases are the phases that
are based on one principal element. In the case of
HEAs, the situation is completely different due to the
existence of several principal elements. Therefore, the
presence of intermetallic compounds is not common
in HEAs [69].
HEAs have solution phases, which do not belong
to the above-mentioned categories. Simple solid
solutions such as random BCC and FCC ordered solid
solutions (e.g., B2 and L12) are the common phases
in HEAs and also complex structures (e.g. Laves
phase) might present [5, 7].
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6.2 How to predict phases in HEAs?
One fundamental question concerning HEAs is:
what phases can be obtained when these different
main elements melt together? Though complex
structures are expected here, the literature [25]
reported that the simple structures are the most
commonly seen in cast HEAs, Fig. 16 [28]. This figure
shows how elemental addition increases the system
entropy and affects the type of solid solution phases.
The high-entropy effect discussed in section 4.2, has
been reported as responsible for the formation of
simple phases in HEAs systems.
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is controlled by several factors: the atomic size of the
different elements, their electronegativity, and
electron concentration [28]. Other thermodynamic
factors can also play essential roles.
In HEAs, enthalpy and entropy are the most
important phase formation parameters. It has been
reported by Guo et al. [13, 14] that the formation of
phases in HEAs depends mainly on the mixing
enthalpy (Hmix), entropy (Smix), and also on the atomic
size differences (δ). In order to obtain simple phases
(i.e., BCC, FCC, etc.) and their ordered versions, it is
necessary that different conditions be simultaneously
achieved: −22 ≤ Hmix ≤ 7 kJ/mol, δ ≤ 8.5, and 11 ≤Smix
≤ 19.5 J/(K mol) [29,31]. Ming et al [46] explained
this by presenting the simple illustration shown in
Fig.17.
6.3 Phase crystallization in HEAs
Fig. 16 XRD patterns of some designed alloys that
are based on increasing the number of constituting
[28].
Almost all solid solutions in HEAs have either
FCC or BCC simple structures. It has been reported
that valence electron concentration (VEC), is the
essential factor that determines whether an alloy
crystallizes into FCC or BCC structure [30, 31]. VEC
is the average VEC of the constituting elements. Guo
et al. [70] plotted the relationship that shows the
dependency of HEAs structure on the value of VEC in
Fig. 18. They stated that if the VEC of the HEA is
lower than 6.87, then the structure is BCC and if larger
than 8, the FCC structure is then stabilized. It is also
possible that both FCC and BCC coexist in case VEC
fall between 6.87 and 8.
Fig. 17
Plot of δ-Hmix, the dash-dotted area
determines the region of simple solid solutions,
amorphous phases, and intermetallic.[46].
Phases such as Laves, etc., can also be observed
in HEAs. In order to understand phases formation in
HEAs, Hume-Rothery rules should be considered [7].
In these rules, the formation of binary solid solutions
Fig. 18 Relationship between VEC and stability of
phases in HEAs systems: fully closed symbols for sole
fcc phases; fully open symbols for sole bcc phase; tophalf closed symbols for mixed fcc and bcc phases.
[70].
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6.4 Elevated Temperature phases of HEAs
Cast state is known to be thermodynamically
unstable. If we look at Fig. 19 [35], in the alloys that
exist in either BCC or FCC, phase transformation is
less significant. An example has been reported in [35],
where no phase was formed in Co–Cr–Fe–Mn–Ni
alloys (FCC) during high-temperature annealing. In
alloys that are located in (BCC+FCC) region,
however, phase transformation occurs at higher
temperatures. In Al-Co-Cr-Cu-Fe-Ni, annealing at
800◦C or lower increases the fraction of BCC while at
temperatures that are higher than 800◦C, FCC phase
fraction increases. This phase selection ability in
HEAs is very beneficial in terms of mechanical
properties control via annealing as the BCC phase is
relatively brittle while FCC is ductile. However, in
some HEAs, some intermediate stable phases exist
upon annealing, e.g. η and σ, which are detrimental to
the mechanical properties due to their brittleness [47]. Fortunately, this type of phase is predictable based
on VEC as explained in ref. [70].
Fig. 19 Relationship between VEC and phases
formation in HEAs [35].
7. Mechanical Properties of HEAs
Unlike conventional alloys, the mechanical
properties of HEAs as multi principal elements alloys
cannot be simply predicted. This is because every
element in the cocktail of HEAs participates in the
total strength of the alloys. In terms of strength, the
most essential factors are the strength of each phase,
the volume ratio of the phases to each other, and the
morphology/distribution of the constituting phases
[28]. In the following subsections: the strengthening
mechanisms in HEAs are discussed and their
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mechanical properties are compared to the classical
alloys.
7.1 Strengthening Mechanisms in HEAs
In order to understand the strengthening
mechanisms in HEA, some cases from the literature
are given herein. Yeh [27] compared Young’s
modulus of the conventional alloys where mainly one
basic element controls the properties to that of HEAs
with multi principal elements. Ex. In Al-, Ti- and Febased alloys, Young’s modulus are 75 GPa, 110 GPa,
and 200 GPa respectively, which are close values to
the modulus of their main elements. Contrasting, in
HEAs, Young’s modulus may differ significantly
from any of the constituting elements, therefore
selecting the composing elements is of great
importance to control the strength in HEAs [71,72].
Wang et al. [73] reported that Young’s modulus of
(CoCrFeNiCuAl0.5) alloy is ~ 24.5 GPa, while the
lowest modulus of the constituting elements is that of
Al which equals 69 GPa.
In some reported studies [74-77], HEAs with
FCC structure showed high plasticity and low
strength, while BCC-structured alloys exhibited low
plasticity and high strength at room temperature. So,
the dominant factor that controls the strength/
hardness of HEAs is their constituting phases. For the
fracture toughness of the HEAs, only one paper in the
literature [74] discussed the fracture toughness of
(Al0.2CrFeNiTi0.2) and (AlCrFeNi2Cu) HEAs that
were prepared by vacuum arc melting. Both the two
alloys consisted of two phases (BCC & FCC). Alloy
AlCrFeNi2Cu, showed lower strength and higher
toughness relative to Al0.2CrFeNiTi0.2.
Heat treatment which plays a vital role in
many classical alloys can also significantly alter the
strength. In the two phases (BCC/FCC) HEAs, the
selected annealing temperature determines the alloy’s
property. The alloy becomes harder and more brittle if
the annealing temperatures increase the BCC phase
while the temperatures that increase the fraction of the
FCC phase result in a more ductile alloy [21].
7.2 Mechanical Properties of HEAs Vs.
Conventional Alloys
In classical alloys, there is one major element that
controls the mechanical properties of the whole alloy.
Ex., Fe (BCC) in the low-carbon ferritic steels is the
main reason for their mechanical properties [75]. C is
used as an interstitial solute element for solid-solution
strengthening; however, the main strength is from Fe.
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Similarly, in Ti-based alloys and Al- alloys, their
properties are related to the dominance of Ti and Al,
respectively. In the case of HEAs, the structure types
are the controlling factor of the hardness/strength of
HEAs [46] since there is no one dominant element.
Based on this concept, BCC-HEAs can be chosen if
high yield strengths are required while FCC-HEAs are
preferred when low yield strength (high plasticity) is
targeted. Mixing both of the structures, results in
balanced properties, e.g., high strength along with
good ductility can be achieved in the two phases
HEAs. Zhang et al [29] showed that, unlike the
conventional alloys, the cocktail effect in HEAs can
dramatically enhance the hardness by altering the
alloy composition. HEAs like the CoCrFeNiCu
system are very soft alloy (200 HV) while alloy
MoTiVFeNiZrCoCr shows a hardness value of 800
HV. Concerning high-temperature strength, refractory
HEAs have high melting point elements and can
sustain yield strength to ultrahigh temperatures. The
strength of HEAs can be maintained at higher
temperatures compared with Inconel and Haynes
superalloys.
HEAs are also characterized over conventional
alloys by having a strong age-hardening phenomenon.
Gao et al [39], reviewed the response of different
HEAs to annealing. Based on this review, HEAs can
be divided into (a) weak aging hardening and (b)
strong aging hardening. The strong age-hardening is
owed to the formation of precipitates, as a (Ni, Al)rich B2 phase in Al0.3CoCrFeNi alloy and ρ
(Cr5Fe6Mn8) phase in AlxCrFe1.5MnNi0.5 (x ¼ 0.3 and
0.5) alloy, However, when the temperature increases
above 900 K, the grain size of these precipitates
increases and softening occurs leading to hardness
decreases [76, 77].
to oxidation, and erosion and their ability to tolerate
high temperatures. However, in order to decrease the
component weight, higher strength is required for the
steel. Aluminum alloys are also aero-engine materials
but are not able to perform perfectly at high
temperatures. Even nickel superalloys, titanium
alloys, and rare earth metallic alloys which are
fascinating due to their high strength to weight ratio
fail at extreme temperature conditions [29, 64]. HEAs
are excellent candidates and can replace titanium
alloys and steel in the compressor blade of an aeroengine. This is due to their high specific strength,
oxidation resistance, fatigue resistance, elevated
temperature strength, and also because of being
lightweight, wear and creep resistant.
- HEAs can be used in cryogenic applications
such as storage of liquefying gases and can retain
mechanical properties at temperatures as low as 77K.
Rob et al [78] examined a five‐element HEA,
CrMnFeCoNi, which forms a single‐FCC solid
solution, and found that it has an exceptional damage
tolerance of tensile strength that exceeds 1 GPa and
toughness values above 200 MPa.m^(1/2), Fig. 20
These toughness values are the highest reported for
any other material and also do not show a decrease at
lower temperatures, which does not occur at
conventional alloys.
8. Applications of HEAs
As discussed in the previous section, HEAs have
distinguished mechanical properties that made them
widely applied in the different sectors of industry.
Wang et al [3] reported that HEAs can maintain their
stability and withstand the surrounding conditions in
various harsh environments (corrosive, high
temperature, etc.). The type of application dictates the
alloy composition and fabrication route of HEAs.
Following are some examples of applications where
HEAs can be the ideal choice:
- Transportation and energy industries that
require high strength with low density and durability
at high-temperature conditions are the ideal
applications of HEAs [80, 81]. Highly alloyed
stainless steels are used in aircraft for their resistance
Fig. 20 Fracture toughness of some HEAs reported
in [81].
- HEAs with their corrosion resistance and
improved irradiation can be typically used for
cladding the high-pressure vessels and nuclear fuels
materials [17]. Pickering [82] showed that HEAs can
be successfully used as oxidation-resistant coating and
anti-burst refractory cladding alloys.
- HEAs are also applied recently in biomedical
fields.
Ceramic
HEAs
proved
excellent
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biocompatibility as implant biomaterials. Yuan et al.
[83] prepared several biocompatible TiZrHfNbTa
HEAs with low magnetic susceptibility and low
elastic modulus. In addition, they systematically
analyzed and summarized the performance of HEAs
with the addition of any element. It is remarked that
the modulus of elasticity in HEAs is easily controlled
compared to the traditional metallic materials; see
Fig.21 [84] for a comparison between HEAs and Tibased alloys.
Figure 22 [87] presents a comparison between
the corrosion resistance of Hf0.5Nb0.5Ta0.5Ti1.5Zr
and the other alloy systems in NaCl solution.
Fig. 22 Compare the corrosion of an
Hf0.5Nb0.5Ta0.5Ti1.5Zr RHEA with other HEAs
and other alloys in a 3.5 wt% NaCl solution [87].
9. Future Insights & Conclusions
Fig. 21 Performance of Ti-based HEAs and other
metallic alloys [84].
- HEAs are also ideal for hard-facing of molds,
dies, tools and nozzles, wherein HEAs are fabricated
as powders and then thermally sprayed or plasma arc
onto the surface of the different components.
- HEAs are employed as a transitional layer
between two types of alloys, so solder and brazing
fillers of HEAs can be used for welding pure titanium
and chromium–nickel-titanium stainless steel,
cemented carbide, and steel, respectively [17].
- These alloys also find a wide range of
applications as binders. AlCoX and CoCrX as
examples can replace the conventional binders as they
have low contents of expensive cobalt and are
composed of an FCC phase [85].
- The special physical properties of the HEAs,
e.g., AlCoCrFeNi, with near-constant resistivity
would make them useful for electronic applications
[17].
- Light-weight HEAs could be used as casings for
mobile facilities, battery anode materials.
- With their excellent corrosion resistance, HEAs
containing rare earth can be used to coat different
materials for various applications and replace the old
traditional coats [83].
The excellent properties of some promising
HEAs presented in the previous sections should direct
the materials science community to further develop
HEAs and direct their efforts toward more economical
and lower weight HEAs. In the following points,
future insights into the development of HEAs are
summarized:
- Upon surveying the published articles, it was
observed that limited research exists about fatigue,
creep, wear, and deformability of HEAs which are
very important properties for the functional use of
HEAs in load-bearing applications [17].
- Tuning the atomic order of HEAs to achieve the best
mechanical properties needs more experimental
investigation. There is only one research that
studied the structure of CrCoNi using XRD and
showed that Cr atoms display less affinity to
bonding to Cr atom than to Ni and Co atoms. So,
further experiments are required [37, 1]
- Other manufacturing routes should be explored to
widen the application range of HEAs. Processes
such as hot/cold working, homogenization, and
annealing should be tried to alter the microstructure
and eliminate casting defects [3, 16].
- Another interesting research point relates to the
function of interstitial elements as N, O, H in HEAs.
These elements can be used for doping in HEAs.
For example, O, which is considered a harmful
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element in alloys and metals, has been reported to
Nanostructured high-entropy alloys with multiple
form clusters that are rich in ordered O-Ti-Zr-in
principal elements: Novel alloy design concepts
TiZrHfNb HEA and hence enhance the strength and
and outcomes, Adv. Eng. Mater. 6, 2004,
ductility [25]. Moreover, H, which is the most
299e303.
deleterious interstitial element in metallic alloys, [9] B. Cantor, I.T.H. Chang, P. Knight, A.J.B.
has been discovered to improve resistance to
Vincent, Microstructural development in
hydrogen embrittlement in HEAs. This is due to the
equiatomic multicomponent alloys, Mater. Sci.
fact that H minimizes the stacking-fault energy and
Eng. A 375e377, 2004, 213e218.
thus provides high local strain hardening [3]. [10] T.K. Chen, T.T. Shun, J.-W. Yeh, M.S. Wong,
However, C is the only interstitial element that is
Nanostructured nitride films of multi-element
well covered in the literature.
high-entropy alloys by reactive DC sputtering,
- Careful assessment of the relationship between
Surf. Coat. Technol. 188e189, 2004, 193e200.
microstructure, heat treatment, and properties of the [11] C.-Y. Hsu, J.-W. Yeh, S.-K. Chen, T.-T. Shun,
promising HEAs is required, otherwise, these alloys
Wear
resistance
and
high-temperature
will be early dismissed [30]
compression strength of FCC CuCoNiCrAl0.5Fe
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