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CITY UNIVERSITY OF HONG KONG
DEPARTMENT OF
PHYSICS AND MATERIALS SCIENCE
BACHELOR OF ENGINEERING (HONS) IN MATERIALS ENGINEERING
2007-2008
DISSERTATION
Effects of a minor addition of Si, Sn and In on formation and mechanical properties of
Cu-Zr-Al bulk metallic glass
by
Lau Chung Yam
March 2008
Effects of a minor addition of Si, Sn and In on formation and mechanical properties of
Cu-Zr-Al bulk metallic glass
By
Lau Chung Yam
Submitted in partial fulfilment of the
requirements for the degree of
BACHELOR OF ENGINEERING (HONS)
IN
MATERIALS ENGINEERING
from
City University of Hong Kong
March 2008
Project Supervisor : Dr. C.H.Shek
Acknowledgements I would like to express my sincere gratitude to my project supervisor, Dr. C.H.Shek. His
patient guidance, invaluable suggestions and ideas throughout this project period were
deeply appreciated.
I would also like to thank for the help from my tutor, Mr. Jiliang Zhang for his
experienced technical support in so many areas. In addition, I would like to express my
appreciation to the staff, Mr T.F. Hung and Mr. K.C. Yuen who helped me a lot during
the SEM imaging and XRD examination.
I
Abstract
To develop bulk metallic glasses (BMGs) for structural applications, prevention of the
catastrophic failure caused by the formation and propagation of a single dominant shear
band is a must. As the bulk metallic glass formers showing stability with respect to
crystallization, many BMG matrix composites have been developed by making use of
various crystalline reinforcement phases to inhibit shear band propagation. However,
very few studies on the optimization of the microstructure and mechanical behavior of
these BMG matrix composites were done in the past.
In this thesis, Cu-Zr-Al metallic glass was selected to study the influence of 1 % atomic
ratio addition of Sn, Si, In, on the mechanical behaviors. The effect was studied at room
temperature (RT) using various techniques including differential scanning calorimetry
(DSC), X-ray diffraction (XRD), scanning electronic microscopy (SEM) etc. All glassy
alloys were prepared by arc melting and suction casting. Meanwhile, the effect of small
alloying addition on the thermal stability of Cu46Zr46Al8 was investigated.
XRD examination shows amorphous structures on all formulated glassy alloys. The
absent of sharp crystalline peak in diffraction pattern give evidence on the glassy forming
ability of Cu-Zr-Al-BMG with addition of chosen elements. In the finding of stiffness
dependence, Cu-Zr-Al-Sn BMG gave a remarkable increase in hardness in the Vickers
hardness test.; Cu-Zr-Al-Sn BMG with collapsed appearances were shown on the
indented edges. The occurrence of the collapsed edges can be explained by embrittlement
of amorphous matrix with nano-crystals. Both addition of Si, Sn to Cu-Zr-Al system
enhanced the stiffness of the referencing Cu-base BMG.
Study on the effect of silicon, tin, indium addition on the crystallization behavior of
Cu46Zr46Al8 was also performed. From the DSC curves obtained, an enlargement of the
supercooling region can be observed by alloying silicon together with the base Cu-Zr-Al
BMG, this implied that the thermal stability has been enhanced. The glass-forming ability
of Cu-Zr-Al metallic glass-forming alloys has been improved with 1% atomic addition of
II
III
silicon, which has been attributed to silicon destabilizing oxide nucleation sites and
increasing atomic size difference of the BMG.
Moreover, room temperature compression test revealed a significant strain hardening and
plastic strain elongation of 8.1% before failure for the 3-mm diameter (Cu46Zr46Al8)99Sn1
sample. The microstructure of the fracture surfaces of each parametric sample was
studied and compared under SEM. The remarkable enhancement on plastic deformation
can be explained in terms of shear band pattern and shear band density. They all give
evidences on the resistance of catastrophic failure of Cu-Zr-Al-Sn BMG.
List of Figures Figure2.1 Isothermal formation of a metastable metallic glass by interdiffusion at
temperature T d between two crystalline phases A and B
Figure 2.2
Simplified mechanism of arc melting suction casting method
Figure 2.3 Theoretical diagrams indicate different atomic arrangement of glassy
and crystalline structures upon shear force.
Figure 2.4 Typical strengths and elastic limits for various materials
Figure 2.5 Schematical atomic sizes of the chosen elements
Figure 3.2 DSC curve of the Cu46Zr46Al8 at heating rate of 20K/min
Figure 3.3 Three Portions of upper 2mm and lower 3mm diameter fabricated bulk
metallic glasses
Figure 4.1 DSC curves of the reference Cu46Zr46Al8 and with 1at % Sn, In, and Si
range from 400K to 580K
Figure 4.2 XRD patterns of Cu46Zr46Al8, (Cu46Zr46Al8)99Si1, (Cu46Zr46Al8)99Sn1
and (Cu46Zr46Al8)99In1 alloys.
Figure 4.3(a) Optical microscope photograph of 1kgf indentation of Cu-base BMG
with 1 at% Sn show the appearance of collapsed edges (Pointed by
arrow)
IV
Figure 4.3(b) Optical microscope photograph (with higher magnification) of 1kgf
indentation of Cu-base BMG with 1 at% Sn show the appearance of
collapsed edges (Pointed by arrow)
Figure 4.4(a) True stress–strain curves of upper part of (Cu46Zr46Al8)99Sn1 ingot
under uniaxial compression. Inset shows nominal stress–strain curves
of (Cu46Zr46Al8)99Sn1with three portions of the ingots
Figure 4.5(a) SEM images of the vein-like pattern of (Cu46Zr46Al8)99Sn1
Figure 4.5(b) SEM images of a site with higher dense of vein pattern at the core
Figure 4.6 SEM images show high dense shear bands with primary and secondary
shear bands. Shear offset shown in the inset image of sample Cu-Zr-
Al-Sn alloy
Figure 4.7(a) SEM of shear bands formed during uniaxial compression of
(Cu46Zr46Al8)99Si1. With arrows indicate the direction of secondary
SBs propagation
Figure 4.7(b) SEM of shear bands formed during uniaxial compression of
referencing Cu46Zr46Al8. With arrows indicate the direction of
secondary SBs propagation
V
VI
List of Tables
Table 2.1 Fundamental information of the chosen element
Table 3.1 Weight composition of different specimens
Table 4.1 Thermal parameters of (Cu46Zr46Al8)99X1 metallic glasses
Table 4.2 Summarize the calculated yield strength, young’s modulus, plastic strain
and hardness of all samples
Table of Content Acknowledgements…………………………………………………………… I
Abstract………………………………………………………………………… II
List of Figures ………………………………………………………………… IV
List of Tables…………………………………………………………………… VI
Table of Contents……………………………………………………………… VII
1. Introduction
2. Literature Review
2.1 Background of Metallic Glasses ………………………………… 2
2.2 Fabrication of Metallic Glasses ………………………………… 3
2.2.1 Critical cooling rate …………………………………… 3
2.2.2 Composite atomic size ………………………………… 3
2.2.3 Suction casting mechanism …………………………… 4
2.3 Mechanical Properties of Bulk Metallic Glasses ………………… 4
2.3.1 Compression Test at room temperature ………………… 4
2.3.2 Plastic deformation …………………………………… 4
2.4 Characteristic of Cu-based Metallic Glasses ……………………… 7
2.4.1General information of Cu-based BMGs ……………… 7
2.4.2 Background information of the chosen elements ……… 7
2.5 Applications of Bulk Metallic Glasses ………………………….... 8
3. Experiment
3.1 Fabrication of Bulk Metallic Glasses …………………………… 9
3.2 Sample Preparation………………………………………………… 9
3.3 Confirmation of Amorphous Structure …………………………… 10
3.3.1 X-Ray Diffractometer (XRD) …………………………… 10
3.3.2 Differential Scanning Calorimetry (DSC) ……………… 10
3.4 Compression Test………………………………………………… 11
3.5 Vickers Hardness Test…………………………………………… 12
3.6 Scanning Electronic Microscopy (SEM) ………………………… 13
4. Results and Discussion
4.1 Thermal Analysis with DSC ……………………………………… 14
4.2 X-Ray Diffraction of BMGs ……………………………………… 17
4.3 Vickers Hardness Test …………………………………………… 18
VII
VIII
4.4 Compression Test ………………………………………………… 19
4.5 Fracture Surface under SEM ……………………………………… 22
4.5.1 Plane view………………………………………………… 22
4.5.2 Side view ………………………………………………… 24
5. Conclusions
6. Future Works
6.1 Prediction of Glass Forming Ability……………………………… 28
6.2 Morphology Study ………………………………………………… 28
7. References ………………………………………………………………… 29
Appendix (I-III)
1. Introduction
Bulk metallic glasses (BMGs) are alloys that have a variety of features not perceived in
conventional metallic materials. They have the mechanical behaviour between metals and
glasses which give a low shrinkage during cooling, resistance to plastic deformation,
resistance to wear and corrosion, but much tougher and less brittle than oxide glasses and
ceramics[1]. However, monolithic BMGs usually show poor plasticity and no strain
hardening ability during deformation at room temperature due to highly localized shear
bands. These weaknesses extensively limit the range of possible applications [2]. Based
on this reason, the development of bulk metallic glasses (BMGs) with improved
mechanical and physical properties has been among the most active research topics on
BMGs recently [3-5].
The discovery of BMGs, the mostly multi-component alloys, depends mainly on trial-
and-error. In general, a complex composition with improved glass-forming ability (GFA)
and mechanical properties is made by adding specific elements to a compositionally
simple glass-forming alloy. For example,he addition of Al in binary Zr–Cu or Zr–Ni
alloys can produce Zr-based BMGs with high GFA [3, 4]; Zr-based BMG with
micrometer-sized Nb particles exhibits high fractured strength and enhanced plastic
strain .[6]
In this dissertation, I will conduct a series of experiment to study the mechanical
behaviors (structural study in fractured area, deformation behavior, shear strain,
compression testes, etc) of four different compositions of Cu-based BMGs. I expected
that difference in mechanical behaviors among these specimens can be observed since In,
Si and Sn have different atomic size and mechanical properties. Also alteration of the
glass forming ability of different glassy sample alloys may be achieved.
1
2. Literature Review
2.1 Background of Metallic Glasses
Metallic glass is known as amorphous metal which is a metallic material with a
disordered atomic-scale amorphous structure, like glasses. The first breakthrough in
metallic glass formation came in 1960 when Klement, Willens, and Duwez discovered
that Au75Si25 could be made amorphous by rapid cooling from liquid state [7], as depicted
in Fig 2.1; crystalline phases were bypassed through rapid cooling. Under rapid
quenching of the molten metal, nucleation and growth of crystals are kinetically forbade
and the molten metal retains in a configuration of frozen liquid. Since then, extensive
studies on metallic glass have been started. In 1974, Chen [8] first reported of BMGs
ternary Pd–Cu–Si metallic glasses with millimetre scale, cylindrical rods 1 to 3 mm
diameter, at a cooling rate of 103 K/s. In the early 1980s, Turnbull and co-workers [9, 10]
succeeded in forming the well-known Pd–Ni–P bulk metallic glasses by using boron
oxide flux method. In the late 1980s, Inoue et al. [11,12] successfully discovered new
strongly glass forming multi-component alloys containing mainly common metallic
elements with large undercooling and lower critical cooling rates. Since then, continuous
casting processes for commercial manufacture of metallic glasses ribbons, lines, and
sheets were developed [13]. BMGs with advanced properties, high glass formability and
were continuous published throughout the decades.
Fig 2.1 Isothermal formation of a metastable metallic glass by interdiffusion at
2
temperature T d between two crystalline phases A and B when the stable phases A3B and
AB do not nucleate. T g =glass transition temperature. [14]
2.2 Fabrication of Bulk Metallic Glasses
“Bulk” metallic can be defined as one which can be quenched from the melt into a
specimen with critical cooling rates low enough (approximately 102 K/s) to allow
formation of amorphous structure in thick layers (over 1 millimeter). They can be
characterized by some empirical rules:(a) Deep eutectics in phase diagrams of alloys, (b)
a large value of ΔT,(Tx-Tg), (c) multi-component alloy systems consisting of more than
three elements, and (d) a large different in atomic size.[15]
2.2.1 Critical cooling rate
Cooling rate is one of the most important factors for fabricating metallic glassy with fully
amorphous structure. Fast cooling rate can suppress the nucleation and growth reaction of
a crystalline phase in the supercooled liquid region and deviate from it , that is the
interval between the glass transition temperature (Tg) and crystallization temperature (Tx)
for the formation of amorphous alloy. Critical cooling rate (Rc) for glass formation can be
calculated by using Uhlmann [16] criterion for glass formation: an isothermal
transformation curve for a volume fraction of 10-6 is constructed and the rate is taken to
be undercooling at the nose of the curve divided by the transformation time at that
temperature. When a metallic glassy with low critical cooling rates have been discovered
in 1969 by H.S. Chen [17], a term Glassy Forming Ability, GFA, was introduced and
critical cooling rate (Rc) was used as a parameter to indicate the GFA. The minimum
critical cooling rate for Fe-, Co- and Ni-based metallic glass is only 102K/s for Pd-Ni-P
and Pt-Ni-P amorphous alloy [18]. Recently, it has been found that the critical cooling
rate can be as low as 0.1K/s for multi component amorphous alloy [19].
2.2.2 Composite atomic size
Metallic glasses exhibiting high glass forming ability can be considered as alloy phases
with specifized compositions. Negal and Tauc in the 1970s addressed the formation of
the metallic glasses that consist of noble and polyvalent metals by examining their
3
electronic structure [20]. Atomic size is also a significant factor in determining glass
forming compositions. Amand and Giessen, after examining alkaline earth systems,
pointed out that liquid viscosity as well as the amorphous alloy formation are influenced
by the difference of atomic sizes [21].
2.2.3 Suction casting mechanism
A cylindrical sample is set up by sucking the molten alloy into a copper mold through
suction force caused by the difference in gas pressure between melting chamber and
casting chamber, as shown in Figure 2.2. Immediately before casting, a piston with a
diameter of 16mm which was set at the center of the copper mold for arc melting is
moved at a high speed of 5.0 m/s and sucking force is generated by the rapid movement
of the piston.
The most commonly used preparation methods are copper mold casting and arc melting.
However, using the arc melting method, it is very difficult to completely suppress the
precipitation of the crystalline phase because of the ease of the heterogeneous nucleation
formed in different part of the copper mold [14].
Fig2.2. Simplified mechanism of arc melting suction casting method [14]
2.3 Mechanical Properties of Bulk Metallic Glass
Due to the random structure of amorphous alloys that lack crystal defects, bulk metallic
glass possess better mechanical properties than those of their crystalline alloys.Fig2.3
4
shows the different in atom arrangement of crystalline and amorphous structure upon
deformation.
2.3.1 Compression Test at room temperature
In uniaxial compression test, metallic glasses exhibit higher yield strength than crystalline
metals and fail in a brittle way with little or even no plasticity. Tensile strength of 2 GPa
[22] and toughness of up to 55MPa/m [23] have been reported. When they are stressed
beyond the yield strength, they tend to undergo localized shear due to lack of strain
hardening. Thus, even though they are not generally deformable like crystalline alloys,
they resist fracture.
2.3.2 Plastic deformation
At room temperature, BMGs tend to form shear bands with localized plastic deformation.
[24]. As these bands are favored sites for further plastic flow due to strain softening, they
normally lead to the failure that generally breaks a sample along a single shear band [25].
BMG-base composites have been developed by introducing ductile crystalline phases into
BMGs. With the crystalline phases, the composites can have dislocation related work
hardening behavior that can suppress the strain softening of a single shear band and
promote the generation of multiple shear bands in glassy matrixes. To enhance the
ductility of BMGs, several trials have been made to customize the microstructure by
strengthening the glassy structure. Several means have been invented such as introducting
nanocrystalline [26, 27] precipitates, e.g.Nb [27], shrink-fit copper sleeve [28] formed
through partial crystallization by exposing the as-prepared BMGs to an annealing
treatment.
The metallic glass does not have any defects that facilitate plastic flow in crystalline
materials, such as dislocations or gain boundaries. Without microstructural features to
direct and distribute the flow, severe shear bands associated with localized decrease in
glass viscosity form and propagate unhinderedly through the material. The possibility of
disastrous failure associated with the rapid propagation of shear bands is one of major
concerns when using BMGs in structural applications where reliability is critical. Both of
5
strain localization and shear band propagation are the exceptional problems under tensile
stress states because failure may occur along a single shear plane almost without
exhibiting any prior measurable plastic deformation.
Figure 2.4 shows the typical strengths and elastic limits for various materials [29].
Metallic glasses are typically much stronger than crystalline metal counterparts (by
factors of 2 or 3), are quite strong (even more so than ceramics), and have very high
strain limits for the elasticity. It can be seen that the elastic energy required to yielding
for bulk amorphous alloy is much larger than that of crystalline alloy.Again, the graph
shows metallic glasses posses a limited ductility, which is potentially a significant barrier
to their widespread application.
Fig2.3 Theoretical diagrams indicate different atomic arrangement of glassy and
crystalline structures upon shear force. [30]
6
Fig2.4 Typical strengths and elastic limits for various materials
2.4 Characteristic of Cu-based Metallic Glasses
2.4.1General information of Cu-based BMGs
Among different composition of BMGs, Cu- and Zr- based are the most common. This is
due to the high glass forming ability of them. Also, choosing appropriate compositions
can alter the minimum cooling rate of amorphous alloy and thus affect the GFA of certain
BMGs. This is why Cu- based MGs with different composites have been invented and
studied.
The recently developed Cu-based (more than 50% Cu content) BMG is reported to have
high tensile strength in the range of 2.0-2.8GPa. Also, there are some reports indicating
that the Cu-based bulk amorphous alloys usually possess high GFA [31] and good
ductility [32].
2.4.2 Background information of the chosen elements
The selection of additional elements is bases on two aspects. The first criterion is the
chosen elements should be within similar group, e.g. group V and VI. The second is to
consider the intrinsic mechanical properties which may give influence on the behavior of
final amorphous alloy, e.g. Silicon and Tin have distinctive mechanical properties.
7
Figure 2.5 illustrates schematically the variation on the atomic size of the three elements.
Their atomic radii are 159pm for Zr, 125pm for Al, 155pm for In, 145pm for Sn, 111pm
for Si and 128pm for Cu. Table 2.1 shows the fundamental information of the fourth
chosen elements in this study. One guiding principle of designing BMG alloys is to use
elements with significant differences in atomic size, which leads to a complicated
structure that retards the movement of atoms as well as the crystallization [33].
Crystalline materials with body-centered cubic structure, which generally have relatively
high hardness, may help to limit the movement of the shear band in effective manner.
The superior mechanical properties and its relatively low price make them suitable as
new engineering materials. [34]
Fig2.5 Schematical atomic sizes of the chosen elements
Electron
configuration
Density
(g/cm3)
Crystal structure Young's
modulus
(GPa)
Atomic
radius
(pm)
Silicon (Si) [Ne] 3s2 3p2 2.33 Diamond cubic 150 111
Tin (Sn) [Kr] 4d10 5s² 5p² 7.265 tetragonal 50 128
Indium (In) [Kr] 4d10 5s2 5p1 7.31 tetragonal 11 155
Table 2.1 Fundamental information of the chosen elements
2.5 Application of Bulk Metallic Glasses
Owing to the unique properties of bulk metallic glasses, they have many potential
applications. Among the most important ones are: superior strength and hardness,
shaping and forming in viscous state, exceptional corrosion resistance, reduced sliding
8
friction and enhanced wear resistance. These properties make it feasible for applications
in near-shape fabrication by injection molding and die casting, joining and bonding,
coatings, biomedical implants, and synthesis of nanocrystalline materials.[35] Beyond
opening the door for high strength applications, BMGs are excellent materials for
mechanical energy storage applications (e.g. springs) and act as soft magnetic materials
for common mode choke coils[30]. Also the development of bulk metallic glasses with
soft magnetic properties would be beneficial for energy conservation.
9
3. Experiment 3.1 Fabrication of (Cu46Zr46Al8)99X1
The bulk Cu-based metallic glasses were prepared by arc melt suction casting method. A
Parameters were set by addition of Si, Sn and In to the referencing Cu-base bulk metallic
glass, Cu46Zr46Al8. Series of (Cu46Zr46Al8)99X1 (where X= Si, Zn and In) and the
referencing alloys were prepared by arc melting the mixture of the respective pure
elements with purities higher than 99.9% in appropriate proportion under a Ti-gettered
argon atmosphere. Four Cu-Zr-Al-X compositions were designed which satisfy 99 to 1
atomic ratio and their weight compositions are listed in Table 3.1. Each ingot was re-
melted for four times in the arc melter under vacuum as to obtain chemical homogeneity.
Bulk alloy rods with 2 and 3 diameters and ~30mm length were prepared by suction
casting into a water-cooled copper mold in a purified argon atmosphere. An inert
atmosphere for casting can reduce oxygen contamination on the as-cast samples.
(Cu46Zr46Al8)99X1
Weight (g) Zr Cu Al X
X=Si 5.247 3.655 0.270 0.035
X=Sn 5.061 3.525 0.260 0.145
X=In 5.101 3.553 0.262 0.141
Table 3.1 Weight composition of different specimens
3.2 Sample Preparation
Total of 8 ingots in which 2 samples were fabricated within the same parameter. The
2.8mm bulk samples were cut into 3 portions, as shown in Fig.3.1 in Appendix II, by a
low speed diamond saw lubricated with oil. Sectioned samples were cleaned by acetone
and followed by ethanol in the ultra-sonic bath for 5 minutes. The samples were ground
flat to parallel with Silicon carbide paper from 240 down to 1200 grit size. For those
prepared for hardness test, samples were hot mounted with acrylic and further polished
with 5 μm aluminium oxide powder to mirror surface.
10
3.3 Confirmation of amorphous structure
Two different techniques were employed to confirm the microstructure of the as-cast
samples.
3.3.1 X-Ray Diffractometer (XRD)
The amorphous nature was identified by the Siemens D500 XRD with Cu Kα radiation
sources (λ=1.5406Å). Samples being tested were cut into 1 mm thickness by low speed
saw and washed with acetone for 5 seconds. The operation voltage and the current of the
x-ray were 30mA and 40KV. The detector was driven to scan from 2θ of 20 to 80 degree
with step size and time of 0.02°and 1 second respectively. A broad diffuse peak without
sharp point should be observed when amorphous structure is being tested. Fig 3.1 depicts
a typical XRD pattern of the referencing sample.
3.3.2 Differential Scanning Calorimetry (DSC)
The thermal properties of the as-cast samples were measured with a Perkin Elmer DSC 7
under a purified nitrogen atmosphere. Each sample rod with diameter of 3 mm was cut
into fine layer (thickness~1 mm) by a slow speed diamond saw and the samples were
weighted between 15 mg to 20 mg. The glass transition temperature (Tg) and
crystallization temperature (Tx) of the amorphous alloy were determined by the DSC 7
which was first calibrated with the melting transition of tin. The DSC scanning range was
made from 323K to 873k at a constant heating rate of 20 K/min. The samples are
expected to shows Tg and Tx within this range.
Metallic glasses exhibit distinct glass transition followed by super-cooled liquid region,
and then exothermic reaction in DSC curve. They show an endothermic heat event
characteristic of glass transition followed by a characteristic exothermic heat releases .
These indicate the transformation from the metastable undercooled liquid sate into the
crystalline compound. The glass transition temperature (Tg), onset crystallization
temperature (Tx) were marked in the DSC trace. [36, 37]
11
Fig 3.2 DSC curve of the Cu46Zr46Al8 at heating rate of 20K/min
3.4 Compression Test
Series of compression tests were performed using Zwick/Z030 tensile tester at room
temperature, as shown in Appendix II. The strain rate was set to 0.03mm/min and the
stress-strain curve was obtained. All the samples were clamped by a flat stainless steel
mount and grounded with silicon carbide paper to ensure that the upper and lower
surfaces of the sample were flat.
Sun et al. report that SEM observation of BMG casted reveals that there exists an obvious
microstructure transition from the center region (existence of nano-crystal) to the edge
(fully amorphous structure) due to the different cooling rate, In order to verify the effect
of cooling rate inside the copper suction tube, the as-cast samples were cut into 3
different parts, namely Top, Middle and End, with L/D ratio of 2, as shown in Figure 3.3.
12
Figure 3.3 Three Portions of upper 2mm and lower 3mm diameter fabricated bulk
metallic glasses.
The fracture surface morphologies of the deformed specimens will be observed by SEM.
The compressive strength, calculated elastic modulus and compressive strain will be
evaluated from the stress-strain graph. In Sn and In containing Cu-Zr-base alloy, it is
expected to see if there is any improvement in the plastic deformation and increase in
hardness for Si-BMG.
3.5 Vickers Hardness Test
Vickers hardness test uses a diamond pyramid indenter, which is pressed into the surface
to be tested using a prescribed force load for a specific amount of time. After the indenter
has been removed, the size of the indentation left behind is measured and calculated as
the hardness of the material. Soft materials will show large indentation; hard materials
display small indentations.
Samples were mounted with 3mm diameter acrylic and further polished with 5 μm
aluminium oxide powder to mirror surface. A Vickers Hardness Tester FV-700 was
employed at loads of 1kgf, 10kgf and 30 kgf with dwell time 10s. Each sample was tested
and the effects of changes in indentation load on the hardness and appearance of indents
13
was investigate. The Vikers hardness test of 1kgf, 10kgf and 30 kgf was taken from 10, 3
and 3 random selected points respectively and the average value was used.
3.6 Scanning Electronic Microscopy SEM
The SEM measurement was performed using a SEM-JEOL JSM-820 scanning
microscope operated at 20kV. Both plane view and side view of the fracture surfaces
were observed.
The fracture samples with a shear angle were washed with alcohol in order to remove any
impurities and dusts on the fracture surface. The magnifications of SEM ranges from
x300 to x1500.
14
4. Results and Discussion
4.1 Thermal Analysis with DSC
The most distinctive physical property that defines a glassy solid is a glass transition. The
glass transition temperature Tg is defined as the onset temperature of the endothermic
event. It can be detected by the rapid increase of the heat capacity over a small range of
temperature [38]. To determine the values of Tg from the DSC graph, the curves were
enlarged along the heat flow coordinate to clarify the flections due to glass transition. The
crystallization temperature Tx is defined as the onset temperature of the exothermic event.
e.g. the Tg and Tx of Cu46Zr46Al8 are 458.9K and 528.9K respectively. The accuracy of
DSC temperature measurement is about 1 K and these curves give confirmation of
amorphous structure to the ingots.
Figure 4.1 summarize the DSC traces of the reference Cu46Zr46Al8 BMGs and those with
1at % Sn, In, and Si at heating rate of 20K/min. The traces show structure characteristic
change of endothermic glass transition and then followed by a supercooled liquid region
( T△ = Tx – Tg), an exothermic crystallization peak due to crystallization and an
endothermic reaction due to melting is ensued. Single exothermic peak is observed in
every curve indicates that crystallisation process occurs once only. This gives the
evidence on the single phase of the amorphous structure. From the result obtained, there
is a large supercooled liquid region for the referencing Cu-Zr-Al BMG, implies a stability
of super-cooled liquid state. The Tg of referencing BMG Cu46Zr46Al8 is the highest
among the four BMGs, which is 458.9K. The lowest is the one with 1 at% of indium,
which is 451.5K. A summary of the thermal analysis data deduced from these curves is
tabulated in table 4.1.
15
Fig4.1 DSC curves of the reference Cu46Zr46Al8 and with 1at % Sn, In, and Si range from
400K to 580K
Tg (K) Tx (K) ΔT(K)
Cu46Zr46Al8 458.9 528.9 70
(Cu46Zr46Al8)99Si1 452 531.4 79.4
(Cu46Zr46Al8)99Sn1 457.8 515 57.2`
(Cu46Zr46Al8)99In1 451.5 511.5 59.5
Table 4.1 Thermal parameters of (Cu46Zr46Al8)99X1 metallic glasses
The analysis of the data shows: 1. Up to ~440K the alloy structure remained amorphous;
2. an endothermic knob at ~440-460K is related to glass transition; 3. All Tg supressed
by the addition of the fourth elements. 4. A transformation (crystallization) from
amorphous to crystalline state ranges from ~510-530 K.
16
From the DSC summary in Table 4.1, with the addition of 1% at Sn and In, both Tx and
Tg decrease within a range of ~8K and the ΔT decreases from ~70K to ~60K. The
degradation of ΔT implies that with addition of In and Sn, the thermal stabilities are all
reduced. These can be explained by the small atomic size different with addition of Sn
and In.
In contrary, an addition of 1 at% of silicon shows a reverse effect when compared with
the referencing Cu46Zr46Al8BMG., in which the Tg was suppressed by 6K and Tx
increased by 2.5K, therefore ΔT increase by ~9K, This result is consistent with the
increased stability of the undercooled liquids by additional of 1 at% Si to Cu-Zr-Ti BMG
[39] and Boron additions increases thermal stability of Zr-Cu-Al alloy system.[40]
On the basis of the empirical BMG formation criteria, the formation of bulk metallic
glasses should satisfy multi-component alloy systems and large differences in atomic size
between constituent elements. Since the addition of Si give a significant increase in
atomic size difference, compared to Sn and In constituent elements. This is in agreement
with the above two rules for the empirical BMG formation criteria. According to the
argument for the size effect, composition of atoms in larger atomic size difference can
enhance the thermal stability. The thermal stability predicted by the difference in atomic
size show there is an increase in ΔT by the addition of Si. Therefore, the prediction of
GFA by applying atomic size difference theory is appropriated.
Besides, it is well known that crystallization is controlled by diffusion of atoms. Because
of the highly dense arranged and complex microstructure of atoms, it causes slow atomic
mobility and long-range atomic diffusion; an increase in the dense random packing of the
supercooled liquid, making atomic diffusion more difficult [41]. This explanation also
proved to be valid by the experimental result.
17
4.2 X-Ray Different (XRD)
Figure 4.2 shows the X-ray diffraction data of the as-casted samples in the range 2θ of
20° to 80°. The broad diffraction maxima between 35° and 45° reveal the amorphous
structure of the sample. The pattern shown underneath well illustrated the ability to
obtain glassy structure with the addition of the fourth element (Si, Sn, In) is not
suppressed. Also, the absent of sharp crystalline peak in the diffraction pattern gives
evidence on the glassy state of the alloy. However, due to the limitation of XRD, small
volume factions of crystalline phases in the amorphous matrix may not be detected.
Fig 4.2 XRD patterns of Cu46Zr46Al8, (Cu46Zr46Al8)99Si1, (Cu46Zr46Al8)99Sn1 and
(Cu46Zr46Al8)99In1 alloys.
18
4.3 Vickers Hardness Test
The Vickers hardness value (Hv) is one of indicators to evaluate the resistance to plastic
deformation. Ductility can be evaluated by the mean of standard hardness tester for small
brittle sample. Three different loading; 1kgf, 10kgf and 30 kgf were employed purposely
to observe any collapse or crack traces near the indentation surfaces. Enbrittlement of the
specimens can be evidenced by the occurrence collapse at the edge of indentation.
The average dependence of the Vickers hardness (Hv) of the samples is summarized on
Table 4.2. Hardness of the tested samples is in the order of: (Cu46Zr46Al8)99Si1>
(Cu46Zr46Al8)99Sn1> Cu46Zr46Al8> (Cu46Zr46Al8)99In1. Among these alloys, collapse edges
can be observed only in the (Cu46Zr46Al8)99Sn1 alloy. It is well-known that crystalline
alloy is more brittle than amorphous alloy; the ductile to brittle behavior of BMGs can be
shown by the appearance of indentations. From the Fig 4.3a, it is obvious that collapsed
edge shape appeared on the surface near the pyramidal indentation point. 7 out of 10
indentations exhibit collapses at 1kgf load of (Cu46Zr46Al8)99Sn1. Therefore, it is
suspected that the existence of nano-crystals in the amorphous matrix. However, no
collapse due to the embrittlement can be observed for 10kgf and 30 kgf.
Fig 4.3 (a),(b) Optical microscope photograph of 1kgf indentation of Cu-base BMG with
1 at% Sn show the appearance of collapsed edges (Pointed by arrow).
19
For the crystalline alloys, hardness is directly related to the yield strength of a material.
The yield strength of a crystalline alloy is determined by dislocation interaction with
lattice defects such as free volume, dislocation and grain boundary. For amorphous alloys,
due to the lack of crystalline defects, the hardness is relative low compared with
crystalline alloys. In addition, the properties of fundamental elements of the alloy also
contribute to the mechanical properties of the alloy. Silicon is considerably harder than
Indium and Tin. The result of increase in hardness by addition of Si might be attributed to
the hard nature of silicon. However, addition of Sn does not give significant reduction in
hardness of the alloys. Explanation on the hardening effect of Sn addition by other
approach has to be employed, e.g. existence of nano-crystal phases.
4.4 Compression Test
The compressive mechanical properties at room temperature of the suction cast Cu-base
BMGs have been measured by using Zwick/Z030 tensile tester, shown in Appendix II, at
room temperature. 3 portions of each ingot are cut with height to diameter rations of 2:1
and conducted uni axial compression test. The strain rate of compression tests is set at
0.03mm/min.
From the Figure 4.4(b)-(e) stress-strain curve shown in Appendix I, referencing
Cu46Zr46Al8, (Cu46Zr46Al8)99Si1 and (Cu46Zr46Al8)99In1 glassy alloys do not show a distinct
plastic deformation behavior except for the top part of (Cu46Zr46Al8)99Sn1 ingot. The
yield strength, young’s modulus and plastic strains of all samples are summarized in table
4.4. Among these samples, (Cu46Zr46Al8)99Si1BMG gives the highest compressive
strength which is 2.07 GPa followed by addition of In, Sn and the lowest is the
referencing BMG, which are 1.93GPa, 1.88GPa and 1.74GPa respectively. Both the
sample exhibited a liner elastic elongation within 5% and only Sn-BMG shows a trend
followed by a plastic elongation of about 8.1%, other samples fracture immediately at
yield stress. The referencing Cu46Zr46Al8 BMG shows no evidence of macroscopic
yielding and plasticity, as reported for the most Cu-base BMGs.
20
Young’s modulus gives evidence on the stiffness of the testing samples. It is defined as
the ratio, for small strains, of the rate of change of stress with strain. This can be
determined from the slope of a stress-strain curve created during compression tests. From
the stress-strain graphs obtained, addition of silicon increases the young modulus of the
Cu-Zr-Al BMG, from 23.03 to 37.55GPa. This phenomenon can be explained by the stiff
nature of silicon element. Moreover, BMGs with addition of In which have a soft nature
show an decrease in stiffness compare with the referencing BGM. These results are
consistent with the hardness test which give the stiffness of the sample with the strongest
(Cu46Zr46Al8)99Si1> (Cu46Zr46Al8)99Sn1> Cu46Zr46Al8> (Cu46Zr46Al8)99In1. However,
addition of Sn increase the young’s modulus by ~2GPa compare with the referencing
BMG, this cannot be explained by the nature of the addition element and may due to the
complicated amorphous structure of the glassy alloy formed.
In order to further explain the hardening effecting by addition of silicon, model lead to
strong softening in the shear band proposed by other researcher should be mentioned.
Argon [42] introduced the concept of shear transformation zone. These zones begin as
small region where the local atomic structure is capable of rearrangement under a given
applied shear stress and the ability of a region to undergo a shear transformation depends
in the local atomic density. This theory is valid for the addition of small atomic size
silicon which fills in the free volume of the amorphous matrix and forbids the initiation
of atomic dislocation upon compression. This gives raise to the higher yield strength of
Cu-Zr-Al-Si alloy system. However, the atomic sizes of the fourth element Sn, In are of
similar size with the rest of the referencing system, no significant increase in strength can
be observed.
Figure 4.4(a) shows the true stress-strain curve of top part of (Cu46Zr46Al8)99Sn1 ingot.
The compressive yield stress, elastic modulus and plastic strain are 1.88 GPa, 25.49GPa
and 8.1%, respectively. The upper part on the Cu-Zr-Al-Sn rod exhibits a large plastic
deformation and strong increase in strain, compared with other alloys in this study. After
yielding, the Sn-BMG shows stress increase with strain indicating a work hardening up to
8.1 %. It is suspected that the atomic-scale heterogeneities exhibited by the structure of
21
the metallic glass facilitate nucleation and continuous multiplication of shear bands. This
can be explained by the interaction and intersection of shear bands increases the flow
stress of the material that causes further deformation, displaying a ‘work hardening’-like
behavior.[43] Therefore, an investigation on the shear band evolution during deformation
will give conformation to the ductility of (Cu46Zr46Al8)99Sn1.
Focus should be put on the Cu-Zr-Al-Sn alloy system, since only the top part of the ingot
exhibit a distinct plastic deformation of 8.1 %. One of the possible reasons for this
phenomenon is the discrepancy of cooling rate inside the Copper mold. The upper of the
ingot is very close to the arc and did not go through the whole suction tube; therefore,
lower quenching rate and relatively higher temperature resulted at the upper part. This
gives raise to the formation of XRD undetectable nano-crystals imbedded in the
amorphous matrix. Further confirmation of the crystal structure by TEM should be
carried.
Average Yield Strength
(GPa)
Young’s modulus
(GPa)
Plastic strain
(%)
Hardness
(Hv)
Cu46Zr46Al8 1.74 23.03 - 531.62
(Cu46Zr46Al8)99Si1 2.07 37.55 - 562.85
(Cu46Zr46Al8)99Sn1 1.88 25.49 8.1 553.78
(Cu46Zr46Al8)99In1 1.93 20.88 - 506.48
Table 4.2 Summarize the calculated yield strength, young’s modulus, plastic strain and
hardness of all samples.
22
Fig 4.4(a) True stress–strain curves of upper part of (Cu46Zr46Al8)99Sn1 ingot under
uniaxial compression. Inset shows nominal stress–strain curves of (Cu46Zr46Al8)99Sn1with
three portions of the ingots.
4.5 Fracture Surface under SEM
The plane and side views of fractured surfaces were observed under SEM operated at
20kV.
4.5.1 Plane-View
Figure 4.5 (a)-(b) and (c) from Appendix III show the morphology of the fracture surface
of (Cu46Zr46Al8)99Sn1 by SEM. From the result, a clear and well-developed vein-like
pattern spread over the fracture surface following the shear direction. The molten vein-
23
like pattern, evidence of a liquid–like layer where the glass has softened significantly, is a
region with a considerable high temperature (>900 K) due to local heating. In addition,
the remarkable development of the vein-like pattern and the significant increase in the
diameter of the melt veins suggest that the temperature during the final fracture increases
because of the suppression of the final fracture resulting from the good ductility. [44]
Furthermore, the increase of the diameter of the veins also implies the increase of the
thickness of the shear deformation region which causes an increase of the energy required
for plastic deformation and final fracture [45].
Differences were noted in the fractured surface appearance between the referencing and
1at% Sn BMG. Higher dense and well developed molten vein pattern can be found in
referencing Cu46Zr46Al8 suggesting the heat dump from the stored elastic energy could be
contributing to fast crack propagation by allowing the crack to propagate along a hotter or
even molten path.
(a) (b)
Fig 4.5 (a) (b) SEM images of the vein-like pattern of (Cu46Zr46Al8)99Sn1
(b) Shows a site with higher dense of vein pattern at the core.
24
4.5.2 Side View
On the lateral surface of the fractured specimens, shear bands (SBs) with different
orientations can be observed. In general, all fracture rod show few primary and secondary
shear bands expect for the one with 1 at% Sn, which have a plasticity of 8%, shows
clearly high dense SBs along the cross section as shown in Figure 4.7 (a)
As shown in Fig 4.6, numbers of large localized SBs together with high dense secondary
SBs were formed during plastic deformation, therefore the sample did not result in rapid
fracture like other glassy alloys in this study. From the SEM image, many narrow
secondary SBs have been triggered near the large primary SBs and some of them are
intersected with other primary SB, leading to a considerable plastic strain without
catastrophic failure. Many secondary SBs are kinked, bifurcated, branched and interacted
with others or with the primary SB, again, indicating the resistances exist to hinder the
rapid propagation of shear bands. Moreover, smaller inter-shear bands space and more
branched shear bands suggesting SB multiplication yield a global ductility. [46]
The activation of secondary SBs would reduce the local stress concentration and reduce
the propagating rate of the primary SB and thus, reduce the possibility of rapid fracture. It
also implies that the Cu-Zr-Al-Sn alloy has a strong resistance to crack nucleation and
propagation. Furthermore, slipping occurs in some of the SBs with a shear offset of
5.7µm shown in the inset of Figure 4.6, this phenomenon also contribute to the plastic
deformation of the Cu-Zr-Al-Sn sample. Ref [46] shows similar result in Ti-Cu-base
metallic glasses indicating the existence of nano-particles in glassy matrix trough TEM.
Serrated flow of shear band due to viscosity can also be observed on 1at% Sn specimen
and these greatly increase the resistance of metallic glass to deformation. There has been
considerable debate in the literature as to the cause of this ductility. Two hypotheses
emerged to explain the local changes in viscosity occur in shear bands: free volume
generation and localize adiabatic heating [45, 46]
25
Comparing the one with 1at% Si addition which shows low ductility, localized shear
bands were formed with fewer secondary SBs intersecting, crack nucleate and propagate
mainly through the dominant primary SBs, the specimen thus catastrophic fracture
rapidly without plastic deformation and strain softening, as shown in Figure 4.7 (a) (b). In
contrary, if the crack nucleation or propagation is hindered, fracture will be hindered too,
resulting in higher ductility. [47]
Das [48] and Liu [49] both found that introducing inhomogeneous amorphous phases can
mostly improve the plasticity in the bulk metallic glasses. Lee [50] also considered that
the embedded crystalline granules in a Cu-based BMG can enhance the plasticity
extensively. These results show that two coexisting phases can influence shear band
movement and enhance the plasticity or work-hardening of BMGs.
5.7µm
Fig 4.6 SEM images shows high dense shear bands with primary and secondary shear
bands. Shear offset of 5.7µm shown in the inset image of sample Cu-Zr-Al-Sn alloy.
26
Secondary shear band
Primary shear band
(a)
(b)
Fig4.7 SEM images of shear bands formed during uniaxial compression of
(a) (Cu46Zr46Al8)99Si1, (b) Cu46Zr46Al8. Both with arrows indicate the direction of
secondary SBs propagation.
27
5. Conclusion In this study, the successful fabrication of 2 and 3 mm diameter amorphous alloys of
(Cu46Zr46Al8)99In1 and (Cu46Zr46Al8)99Si1 is proved by the peaks in DSC curves and broad
bend patterns in XRD curves. The enhancement of thermal stability of Cu-Zr-BMG with
1% atomic silicon addition is demonstrated by the enlargement of T in DSC trace.△
From the evidences in stress-strain curves and morphologic studies of the fracture
surfaces, the addition of Sn plays a great important role on the improvement of ductility
for the Cu-Zr-Al amorphous alloying system. The plasticity of BMGs can be extensively
improved by 8.1%. It is suspicious that nano-crystals exist in the upper part of
(Cu46Zr46Al8)99Sn1ingot. It again, proves the cooling rate is critical for the formation of
fully amorphous alloys.
In the suction tube, slightly difference in quenching rate lead to the formation of nano
crystals on the top of the ingot. It implies that it may facilitate the precipitation of
nanocrystallites in the amorphous phase by introducing a small amount of Sn when the
BMGs are deformed under compression [51]. As a result, under SEM examination,
propagation of the primary shear bands can be impeded by nano-crystals and new shear
bands have to be initiated. The formation of high dense of shear bands thus gives
explanation on the large plasticity performance of Tin containing glassy alloy.
Meanwhile, working hardening was shown in the Vickers hardness test with the addition
of silicon element. This can be explained by the hard nature of silicon atom. Collapsed
indented edges observed in Sn- containing BMG illustrate the embrittelemnt effect of 1%
atomic addition of Tin.
28
6. Future Works
6.1 Prediction of Glass Forming Ability
The melting behaviour of the samples can be investigated by differential thermal analysis
(DTA). Obtaining traces with the solidius temperature Tm and liquidus temperature Tl
which are respectively the onset and end temperature of the endothermic melting, is a
more precise means to estimate the glass forming ability of BMGs. The calculated values,
i.e., Trg(=Tg/Tl), γ[=Tx/(Tl + Tg)] and δ [=Tx/(Tl −Tg)]and the values of the maximum
glassy sample diameters, D max can be used together as indicators. The higher the values
of Trg or δ, the larger the maximum glassy sample diameters, and consequently, the
higher is the GFA.
6.2 Morphology Study
In this study, the crystallization behaviors are examined by XRD and DSC. However, due
to the sensitivity of XRD and heat range limitation of DSC, nano-size crystal may not be
detected. in order to obtain more information about the bulk amorphous alloys, the
Dynamic Mechanical Analysis (DMA) should be considered since it is another effective
method to quantify the the viscoelastic nature of metallic glass due to plastic flow, so that
structural relaxation behavior of amorphous alloy can be investigated in more depth.
Besides, structural investigation by Transmission Electron Microscopy (TEM) should be
employed in the prospect to obtain detail in the microstructure, morphology and grain
size distribution. In the XRD results, the unidentified crystalline phase can be confirmed
by the Selected Area Electron Diffraction (SAED) technique.
29
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Appendix I
Figure 4.4 Nominal Stress-Strain cures for the different samples. (b) Cu46Zr46Al8 (c)
(Cu46Zr46Al8)99In1 (d) (Cu46Zr46Al8)99Si1 (e) (Cu46Zr46Al8)99Sn1
Appendix II
Figure 3.1 Three portions: top, middle and end from left to right were cut by diamond
saw
Fig 4.8 Vickers Hardness Tester FV-700
Appendix III
Fig4.5 (c) Plane view SEM image of Cu46Zr46Al8 fracture surface shows molten well-
developed vein-pattern. Arrow shows the direction of crack propagation. (c)
(d) (e)
Fig4.5 (d), (e) Side view SEM image of (Cu46Zr46Al8)99Sn1 fracture surface show molten
vein-pattern