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School of Mechanical and Aerospace Engineering Ashby Building Stranmillis Road Belfast BT9 5AH
Mechanical and Aerospace Engineering
Project 3 Report
MEE3030
Design and Fabrication of Coil Spring for Soft Actuator Application by
Shape Memory NiTi Alloy
Author M Gibson [40061742] Project supervisor Dr CW Chan Programme BEng Mechanical Engineering Date 4 April 2014
ii
Abstract
This investigation looked at the material NiTi and how it utilises special capabilities with
Superelasticity and the Shape Memory Effect. Understanding how the material behaves to
certain external manipulation allows the material to be tailored to carry out specific tasks
due to its ‘smart’ nature. It is a very important field of study as NiTi offers a broad range of
applications. One of the biggest areas NiTi is used in is the medical industry. This
investigation looks at optimising NiTi to be used as an actuator in a soft robot application.
Experimentation was carried out on the NiTi to gain more of an understanding into the
material. This involved various heat treatments of the material. In order to understand the
effect of the heat treatment, mechanical testing was carried out to assess the effect on the
structure of the material. This involved tensile to fracture tests as well as cyclic tensile tests
to assess the fatigue of the material. Analysis using a Differential Scanning Calorimeter was
also carried out. This was used to assess the effect the heat treatment had on the
transformation temperature of the material. This is was an important step as it is a critical
factor in utilising the materials Shape Memory Effect. After gaining a further understanding
from the experimentation, a coil prototype was manufactured, and a CAD model of the coil
designed. The experimentation on the NiTi found that the heat treatment has predictable
and profound effects on the material. The appearance and characteristics of the material
vary considerably depending on the temperature of heat treatment. The balance of
martensite to austenite structure and its transformation temperature can be altered using
precise heat treatment ranges. This allows the material to be tailor-‐made to a specific
application. The prototype showed that the wire could easily be drawn into a coil spring
shape, and the coil behaves in a suitable manner to be used as an actuator.
iii
Table of Contents
Abstract…………………………………………………………………………………………. ii
Table of Contents…………………………………………………………………………... iii
List of Figures…………………………………………………………………………………. v
List of Tables………………………………………………………………………………….. vii
Nomenclature………………………………………………………………………………… viii
Chapter 1. Introduction………………………………………………………………….... 1
1.1. Introduction to NiTi…………………………………………………………….. 1
1.2. Project Objectives…………………………………………………………….... 1
1.3. Previous Studies……………………….................................…………. 2
Chapter 2. Literature Review…………………………………………………………… 3
2.1. The Shape Memory Effect and Superelasticity……………………. 3
2.2. NiTi…………….. …………………………………………………………………….. 4
2.3. Heat Treatment of NiTi……………………………………………………….. 5
2.4. Existing applications of NiTi under SME………………………………. 6
Chapter 3. Methodology…………………………………………………………………... 7
3.1. Experimental Design and Procedure…………………………………….. 7
3.1.1. Heat Treatment……………………………………………………………………. 7
3.1.2. Mechanical Testing………………………………………………………………. 7
3.1.3 Differential Scanning Calorimeter (DSC)……………………………….. 8
3.1.4 Coil spring prototype……………………………………………………………. 8
Chapter 4. Results and Calculations………………………………………………….. 9
4.1. Experimental Observations………………………………………………….. 9
4.1.1 Heat Treatment……………………………………………………………………. 9
4.1.2 Mechanical Testing………………………………………………………………. 11
iv
4.1.3 Differential Scanning Calorimeter………………………………………… 11
4.2 Experimental Results……………………………………………..……………. 13
4.2.1 Mechanical Testing……………………………………………..…………....... 13
4.2.2 Differential Scanning Calorimeter (DSC)……………………………. 16
4.3 Fabrication of Coil spring prototype………………………………….. 20
4.4 Analysis of prototype………………………………………………………… 21
4.5 CAD model of coil……………………………………………………………… 24
Chapter 5. Discussion…………………………………………………….…………….. 26
5.1 Mechanical Testing………………………………………………………….. 26
5.1.1 Tensile fracture test………………………………………………………… 26
5.1.2 Tensile cyclic test…………………………………………………………….. 26
5.1.3 Differential Scanning Calorimeter……………………………………. 28
5.2 Limitations of project………………………………………………………. 31
Chapter 6. Conclusions and Recommendations……………………………. 32
References…………………………………………………………………………………… 34
Appendix A. Calculating performance of prototype.……………………. 35
Appendix B. CAD Simulation…………………….………………………………….. 37
Appendix C. Project Planning & Time Management…………………….. 39
v
List of Figures
Fig 2.1 Illustration of transformation paths between austenite and martensite
transformation. [6]
Fig 2.2 Showing stress/strain curves graphs for SME and SE transformations. Taken from [1]
Figure 2.3 Temperature dependence on the elongation of NiTi alloy. [5]
Fig 2.4. Growth of grain size due to heat treatment. [11]
Fig 4.1 Untreated NiTi
Fig 4.2 300 °C H-‐T NiTi sample
Fig 4.3 350 °C H-‐T sample
Fig 4.4 400 °C H-‐T sample
Fig 4.5 Load-‐deflection curves to failure for the samples under a tensile test.
Fig. 4.6 Shows the samples at the ‘plateau’ where they are undergoing a phase
transformation due to stress loading.
Fig 4.7 Cyclic tensile testing of untreated sample of NiTi
Fig 4.8 Cyclic tensile testing of 300 °C H-‐T NiTi
Fig 4.9 Cyclic tensile testing of 400 °C H-‐T NiTi
Fig 4.10 Summary table of NiTi Transformation temperatures
Fig. 4.11 Heat flow against temperature graph for untreated NiTi
Fig 4.12 Phase transformation under heating for untreated alloy.
Fig 4.13 Phase transformation under cooling for untreated alloy.
Fig. 4.14 Heat flow against temperature graph for 300 °C H-‐T NiTi
Fig. 4.15 Phase transformation under heating for 300 °C H-‐T NiTi
Fig. 4.16 Phase transformation during cooling for 300 C H-‐T NiTi
Fig 4.17 Heat flow against temperature graph for 350 °C H-‐T NiTi
Fig 4.18 Phase transformation under heating for 350 °C H-‐T NiTi
Fig 4.19 Phase transformation under cooling for 350 °C H-‐T NiTi
Fig 4.20 Heat flow against temperature graph for 400 °C H-‐T NiTi
Fig 4.21 Phase transformation under heating for 400 °C H-‐T NiTi
Fig 4.22 Phase transformation under cooling for 400 °C H-‐T NiTi
Fig 4.23 Coil setup before H-‐T
Fig 4.24 Coil setup after H-‐T
Fig 4.25 NiTi coil in incoherent martensite form. Room temperature and no load.
Fig 4.26 NiTi coil in coherent martensite form Room temperature and after a stress loading.
vi
Fig 4.27 NiTi coil in austenite form after heating
Fig 4.28 450 °C H-‐T coil & 400 °C H-‐T coil at room temperature
Fig 4.29 SMA compression spring actuation [13]
Fig 4.30 extension spring actuation [13]
Fig 4.31 CAD model of the coil in High temperature austenite phase
Fig 4.32 CAD model of the coil in the incoherent martensite form ( room temperature free
state)
Fig 4.33 CAD coil in the Coherent martensite form after stress loading.
Fig 4.34 shows the relationship between the three phases. [16]
Fig 5.1 Extension against temperature schematic. Detailing Mf, Ms, As, Af and hysteresis (h).
[13]
Fig B.1 Stress distribution in coil under 100N tensile load.
Fig B.2 Extension of coil under 100N tensile load.
Fig C.1 Work chart showing planned schedule against actual schedule.
vii
List of Tables Table 3.1 shows a summary of the progression of objectives throughout the project.
Table 4.1 Summary table of tensile to failure tests
Table 4.2 Summary table of NiTi Transformation temperatures
Table B.1 Table comparing properties of Ti-‐6Al-‐4V [15]
Table C.1 A summary of the progression of objectives throughout the project.
viii
Nomenclature
Abbreviations
NiTi Nickel Titanium / Nitinol
SMA Shape Memory Alloy
SME Shape Memory Effect
SE Superelastic
CAD Computer Aided Design
H-‐T Heat Treatment
DSC Differential Scanning Calorimeter
XRD X-‐Ray Diffraction
SEM Scanning Electron Microscope
TEM Transmission Electron Microscope
Mf Martensite Finish
Ms Martensite Start
As Austenite Start
Af Austenite Finish
h Hysteresis
Lh Length (High Temp)
Ll Length (Low Temp)
HT High Temperature
LT Low Temperature
S Stroke
Symbols
C Spring Index
D Spring Diameter
d Wire Diameter
w Wahl’s Stress Correction Factor
ix
Units
°C Degrees Celsius
Pa Pascals
N Newton
mW MilliWatts
τmax Max Shear Stress
Δϒ Strain difference between austenite and austenite
ϒA Strain in austenite phase
ϒmax Max strain in martensite phase
G Shear Modulus
ΔL Stroke Length of Coil
n Number of turns of coils
Fload External Load
1
1. Introduction
1.1 Introduction to NiTi
NiTi is one of the most common shape memory alloys (SMA) that has the ability to perform highly
as an actuator through the shape memory and SE effects (SME and SE). NiTi was compared
against other kinds of shape memory alloys, i.e. CuZnAl and CuAlNi and it was concluded that NiTi
is the most successful with respect to most thermo-‐mechanic-‐related performances [1]. First, the
SME and SE of NiTi can be tailor-‐controlled by heat treatment (H-‐T) at certain temperature ranges
to modify the martensitic transformation temperatures. Second, NiTi is an energy dense material
and this allows it to store more potential energy than similar intermetallics. Third, NiTi has a
maximum strain of 8% within its SE limit. This is impressive compared to similar alloys that only
achieve around 2-‐4% strain. Finally, NiTi has good biocompatibility and corrosion resistance [13].
1.2 Project Objectives
Soft robotics is an emerging field with many challenges for roboticists. One of the most
challenging elements is the soft actuator which can deform along with the surrounding structure.
NiTi alloy is very suitable for this application due to its high flexibility and energy density. The
problem under investigation in this project is to understand the effect H-‐T has on the mechanical
and functional properties of NiTi.
The aim of the project is to design and produce a coil spring for use in a soft robot. The wire of the
coil produced will be made from NiTi, and the coil will be produced and subsequently modified by
H-‐T to perform the SME and SE that are most desirable for actuator applications. Finally, a
computer model is made to predict the performance of the coil, which will then be compared
with the actual performance recorded from the coil itself. The main reason that NiTi is used for
this investigation is due to its SME effects and its performance as a SMA. The NiTi coil can act as a
sensor and actuator once under the SME, so is able to react to a change in temperature and will
then transform its shape. The change in the microscopic structure causes an extension of the coil.
This elongation of the coil can cause a change in a structure. The elongation and contraction of
the coil under the SME could replicate the action of a muscle in a joint. If the coil is heated it will
return to its original shape, thus acting as a controllable actuator. This use as a robotic device
could be in a device such as an endoscope. NiTi is said to be a ‘smart’ material as it can react in
this way to a change in its environment. On the other hand, The SE effect allows the material to
2
undergo a large strain, but stops it from going beyond the elastic limit. It is able to return to the
parent shape without being altered in any way theoretically.
1.3 Previous Studies
NiTi used in actuator applications due to its SME and SE has been extensively studied in the past.
Sreekumar et al. [2] reported that trained actuators where able to verify predicted forces due to
the SME of SM alloys. Kim et al. [3] developed a NiTi actuator using the two-‐way SME. They found
that the recovery stresses were almost identical as in the one-‐way method. Also, the two-‐way
method does not require compressive loading and unloading to form, resulting in an easier
method. Predki et al. [4] showed that NiTi can be used for technical applications in drive
technology, given that stress-‐strain behaviour for NiTi SMA under axial compression, necessary
forces and compressions to reach demanded elongations can be calculated. Otsuka and Ren [5]
discussed the development in the research of SMA in the last decade. They stated couplings,
actuators and smart materials as the most common applications of SMA and acknowledged NiTi
as the best practical SMA. Otsuka and Kakeshita [6] explained the SME, SE effect and martensitic
transformation in basic detail and how these characteristics make intermetallics under the SME
such as NiTi very useful in certain applications. More specifically in reference to this report,
Stoeckel and Waram [7] described the use of NiTi coils transforming due to the SME under a
change in temperature. These studies give an insight into the SME and the characteristics of NiTi.
Furthermore, there are some fundamentals in the project that are not covered in the past. In
order to be able to improve the design process of a NiTi actuator, the relationship between a CAD
model of the coil and the physical coil must be better understood. This will lead to a better
understanding of theoretical testing for computer models.
3
2. Literature Review
2.1 The Shape Memory Effects and Superelasticity
The shape memory effect is the name given to the process in which a material can be
restored to its original shape under heating after being plastically deformed. It occurs in
intermetallic compounds. Materials therefore act as sensors and actuators as they sense a
change in the temperature and will change their shape subsequently. They are said to be
‘smart’ materials as they can do this. This area is well covered in literature, “shape memory
alloys show great potential in many applications…Many alloys displaying shape memory
have been found and considerable effort is still being made to discover new materials” [1].
The two phases of the transformation are the martensitic phase of lower temperature and
the austenite or ‘parent’ phase of higher temperature, when the material is in its natural
form.
There are two paths of transformation between the austenite and martensite
transformation. The first method is known as the SME and is due to a change in
temperature. When the material is in the parent phase, a drop in temperature below the
transformation temperature causes a change in structure to an incoherent martensite as
shown by (b) in fig 2.1. If the material is put under stress in this phase it will change into a
more coherent martensite form as shown by (c) fig 2.1. The material will return to the
parent phase when heated above the transformation temperature. Heating will form the
austenite structure from the coherent or incoherent martensite form. The second path is
known as the SE effect. This does not involve a temperature change, but instead a direct
stress loading of the parent phase. This changes the structure directly into a coherent
martensite form (c) in fig 2.1. This process is called stress induced martensitic
transformation. If the stress load is removed the material will return to its parent form, as
long as the limit of SE is not exceeded (8% strain for NiTi). A material is described as SE when
it is able to reach higher levels of elongation that would usually be beyond the elastic limit of
the material. NiTi is described as having ‘superelasticity’. This explains why it is able to
transform under the stress induced martensitic method. The transformation can produce
relatively large movement in the overall structure for its small size. This gives the material a
high work output. The process gives NiTi a wide range of applications that make use of its
SME.
4
2.2 NiTi
NiTi has been chosen in this investigation as it has the best SME and SE properties among
existing intermetallic alloys. This has been covered previously in literature. “In this paper, a
systematic study on the selection of SMAs for actuators is presented. The candidates, NiTi,
CuZnAl, CuAlNi. The current study shows that NiTi is the overall winner in respect to most of
the thermo-‐mechanic related performances” [1]. NiTi alloys have several characteristics
which make them particularly suitable for applications based on the shape memory effect.
NiTi alloys are very ductile compared to other similar intermetallics. Elongation of 50% can
be easily obtained [5]. Materials in this class are usually much more brittle. The elongation of
NiTi at certain temperature is shown in fig 2.3. It can be seen that the highest point of
elongation is closely related to the temperature around martensitic transformation. There
are factors which explain this relationship such as a high number of deformation modes
upon stress-‐induced transformation. The grain size in the alloy is usually very small, typically
around 30 μm. This compares to the others similar alloys with a grain size of around 1mm.
Also, the critical tensile stress for a slip is less than 50MPa when the alloy is in martensite
form, which is very low compared to around 400MPa when the alloy is in parent form.
The ductility decreases significantly at higher temperatures, above the critical level for
martensitic transformation, however this is still significantly higher than that of other
intermetallics (20%) [5]. Another factor that makes NiTi particularly suitable is that the SME
can be improved and altered easily using H-‐T. An optimum temperature for the material
transformation from martensite to austenite can be easily found using the right H-‐T of the
alloy. This means the material can be tailored to perform in a specified way in a particular
Fig 2.1 Illustration of transformation paths between austenite and martensite transformation. [6]
Fig 2.2 Showing stress/strain curves graphs for SME and SE transformations. Taken from [1]
5
application. NiTi alloys also have a superior tensile strength (100Mpa) to other intermetallic
as well high corrosion and abrasion resistance, making them suitable to a wide range of
applications. The excellent SE properties of NiTi can be partly explained due to their high
energy density. They can hold a particularly high amount of potential energy which allows
them to return to their original shape under strain.
2.3 Heat treatment of NiTi
The mechanical properties of NiTi can be altered using H-‐T. This in an important process as it
allows the transformation temperature for the SME to be changed. This allows fine tuning of
the material for a particular process. The investigation being carried out will involve heat-‐
treating a coil of NiTi so it performs in the correct temperature window when being used as
an actuator in soft robotics. The temperatures the material should be subjected to under H-‐T
are not clear, which is part of what will be investigated. What is known from past literature
however is that H-‐T can cause a material to undergo crystallisation. “We found that
equiatomic amorphous NiTi crystallizes by polymorphic mechanisms and that there is a
direct correlation between the average crystal size and the processing temperature” [8].
Recrystallisation causes the material to become more brittle and lose its elongation as
investigated by Mentz at el. [9]. For this reason, we want to avoid recrystillisation of the
material as much as possible. Chan et al. reported that significant grain growth in NiTi above
700oC [10]. For this reason it is necessary to limit the maximum H-‐T temperature at a
maximum of 600oC for this investigation. If this limit is exceeded, the grain size in the NiTi
will become too large. This results in it becoming too plastic or brittle, losing its SE effects. It
is known already that H-‐T will change the temperature region for transformation between
martensitic and austenite forms of NiTi. This investigation aims to analyse this to understand
the relationship so we can more easily modify NiTi for a particular application.
Figure 2.3 Temperature dependence on the elongation of NiTi alloy. [5]
6
2.4 Existing Applications of NiTi under SM
NiTi is known as the best performing SMA [1]. This results in it being desirable for a wide
variety of applications. They are most commonly used as actuators, fasteners and couplings.
The NiTi alloys have among the best SME among many SMA, however if SMA with higher
operating temperatures are developed they would be very useful for uses in automobiles,
planes etc. Uniqueness of the SMA gives them a very high potential for applications, 10000
patents have been proposed previously. SE qualities of NiTi make it useful in applications
such as catheters for medical use or mobile phone antennas. This is because of the flexible
properties and the fact it cannot be permanently bent. Fisher at al. carried out a project in
which NiTi was used in an endoscope to replace existing materials, allowing an increased 90°
angle of view. [12]. This investigation looks at using NiTi as an actuator in a soft robotic
application. One such application of soft robotics is an endoscope for medical use. The
device allows doctors to examine the internals of a body with no discomfort to the patient.
Coil springs are used in lots of other applications such as in various car components. They
are particularly useful when the car is starting from cold. For example, the coil can alter the
engine speed when the car is cold so that the engine is allowed to heat up faster.
Fig 2.4. Growth of grain size due to heat treatment. [11]
7
3. Methodology
3.1 Experimental Design and Procedure
The initial phase of the project involved attempting to establish an understanding of the
shape memory effect of NiTi. Looking at the theory has allowed a tentative prediction of
how the material will behave. The next phase of the project is to carry out experimentation
to validate the theory and to establish solid understanding of the properties of the material.
With an understanding of exactly how the material responds to H-‐T, implementing the
material in products to utilise the SME will be possible.
3.1.1 Heat Treatment
The first process is to subject samples of NiTi to H-‐T at varying temperatures. This will allow
us to see how the process of H-‐T affects the properties of NiTi. It is particularly important to
understand how H-‐T affects the transition temperature from austenite of martensite form so
that the material can be tailored for any particular application.
The apparatus used for this stage will be a furnace. There will be three different
temperatures. These are 300 °C, 350 °C and 400° C. This is an important range to find the
crossover between the austenite and martensite structure in the H-‐T wires. The reason
higher temperatures are not used is because H-‐T above 450 °C produces detrimental results
in the material. At 450 °C – 550 °C H-‐T will cause intermetallic grain growth. This decreases
the effectiveness of SE and the SME. Above 600 °C the material will undergo re-‐
crystallization. This leads to the material becoming too soft and will lead to loss of the SME.
Each sample should be treated for 60 minutes, followed by immediate quenching in cold
water.
3.1.2 Mechanical Testing
In order to see the effect that the H-‐T has had on the material, it should be subjected to a
tensile test. Studying the loads achieved by samples, which have undergone different
treatments, will allow us to see the effect the H-‐T has on the tensile strength of the material.
8
This is a very important factor, because different mechanism applications require the
material to have specific tensile strength.
3.1.3 Differential Scanning Calorimeter (DSC)
A DSC machine works by measuring the heat flow between a material and its ambient
surroundings while that ambient temperature is altered. The principle is to show at what
temperature the material undergoes a physical transformation. Under a phase
transformation, such as during the SME and SE in NiTi, there will be a difference in the heat
flow between the material and the surroundings. This is picked up by the DSC machine. The
results of this experiment should show a spike in heat flow for the NiTi sample when it is
tested at a particular temperature. This point represents the change in material structure
from martensitic form to austenitic form. This is the phase transformation that defines the
SME. Analysing this point for each sample that has been H-‐T will allow us to see exactly what
effect the H-‐T has had on the shape memory effect of the NiTi sample. If the predictions are
correct, the H-‐T should allow us to change the transformation temperature in the NiTi
sample.
The process involves taking a sample of each H-‐T temperature and analysing it in the DSC.
The temperature range used in the DSC should be between from -‐60 °C to 100 °C in order to
include the transformation on heating and cooling for each sample.
3.1.4 Coil spring prototype
These forms of testing will give a better understanding of the material. Possessing this,
attempts to create a coil prototype should then be made. Having a physical coil allows us to
make some calculations and comparisons with the computer model of the coil.
9
4. Results and Calculations
4.1 Experimental Observations
4.1.1 Heat Treatment
The NiTi samples were successfully treated in the furnace. For each temperature, three
400mm samples were treated. Each treatment temperature showed different characteristics
once cooled. The untreated sample is shown in fig 4.1.
300 °C – The samples at 300 °C had lost some of their rigidity compared to the untreated
sample. The colour had also changed from a grey/silver to a straw/brass colour. The reason
for the colour change is due to changes in the surface of the material at a microscopic level.
The light refraction is altered on the treated sample, causing a change in the appearance of
the colour. The treated sample had also lost rigidity. The material was much easier to bend
out of shape after being treated. The material is however still in in a majority austenite form
at room temperature, and the wire generally holds its shape well. The 300°C H-‐T sample is
shown in fig 4.2.
Fig 4.1 Untreated NiTi
Fig 4.2 300 °C H-‐T NiTi sample
10
350 °C – The samples at 350 °C were less rigid than those at 300 °C. The material had
become softer, and had less resistance to being misshapen. The colour had changed again,
and had become a stronger colour of brass. The material is still in a majority austenite form
at room temperature, however the proportion of martensite structure has increased
compared to the 300 °C sample and its transformation region has therefore increased. This
explains its relative softness and increased ductility. The 350 °C H-‐T sample is shown in fig
4.3.
400 °C – There was a much bigger change with the 400 °C sample than was seen at previous
temperatures. The sample was a majority martensite form at room temperature. The
material behaved completely plastically. It would take any shape it was bent into, and had
almost no rigidity to remain in its original shape. The shape memory effect was of course still
present, and the material would retain its original form when heat was applied. The colour
was very different from the previous samples. It had changed to a dark blue colour,
representing a significant change in its surface smoothness. The 400 °C H-‐T sample is shown
in fig 4.4.
Fig 4.3 350 °C H-‐T sample
Fig 4.4 400 °C H-‐T
sample
11
Before any mechanical testing had been undertaken, it was clear to see there was a
significant change in the appearance and behaviour of the material.
4.1.2 Mechanical Testing
To understand the effect of the H-‐T, mechanical testing would allow us to analyse the
change to the structure of the material. The first test to carry out was a simple tensile test to
failure. A second tensile cyclic test was carried out to analyse the fatigue in the material over
a period of stresses.
All the mechanical testing was carried using a standard tensile testing machine with a
maximum load of 500N. Special grippers were used with a radius at their ends. These are
intended for use with wires, and ensure that there is not a stress concentration at the point
were the wire is secured. The machine carried out all experiments at a strain rate of
5mm/min. A gauge length of 100mm was set.
Tensile test to failure
This test involved a simple stress to failure set up with the tensile machine. The samples
were loaded until fracture occurred.
Tensile cyclic test
The tensile cyclic test was to show how a series of loading and unloading affected the
material. The resulting load extension curve shows a series of lines representing each cycle.
The machine was calibrated to reach 6% extension (within 8% SE limit) in each cycle before
unloading. Each sample was subjected to five complete cycles.
4.1.3 Differential Scanning Calorimeter
Samples for each H-‐T temperature were analysed using the DSC. The machine used was a
Diamond DSC. It is designed to run samples at high speeds (~200 °C/min). In our
investigation a speed of 10 °C/min was more appropriate. This meant that the sensitivity of
the machine was relatively poor at these speeds. Each sample was run for the temperature
12
range of -‐60 °C to 100 °C. This temperature range is necessary so that each sample will go
through a complete phase transformation on heating and cooling. The results show the
effect the H-‐T has on the transformation temperature.
13
4.2 Experimental Results
4.2.1 Mechanical Testing
Table 4.1 shows a summary of the tensile to failure graphs.
H-‐T Temperature (°C) Transformation Stress
(MN/m2)
Tensile Strength
(MN.m2)
Tensile Strain
Untreated 550 1536 0.32
300 504 1512 0.37
350 484 1528 0.33
400 387 1533 0.35
Fig 4.5 shows the results for each sample tested to failure with the tensile testing machine.
-‐50
0
50
100
150
200
250
300
350
-‐10 0 10 20 30 40
Load (N)
De+lection (mm)
Tensile to failure test
300 C
350 C
400 C
Untreated
Fig 4.5 Load-‐deflection curves to failure for the samples under a tensile test.
14
Fig 4.6 is a zoomed in section of fig 4.5. It shows an important section of the load deflection
curve in more detail. This is the ‘plateau’ region where they undergo a change from
austenite to martensite due to the stress loading.
Fig 4.7, 4.8, 4.9 show the cyclic tensile test on three differently treated specimens.
Fig. 4.6 Shows the samples at the ‘plateau’ where they are undergoing a phase transformation due to stress loading.
70
80
90
100
110
120
130
0 5 10 15
Load (N)
De+lection (mm)
300 C 350 C 400 C Untreated
-‐20
0
20
40
60
80
100
120
-‐1 0 1 2 3 4 5 6
Load (N)
Elongation (mm)
Untreated
Cycle 1
Cycle 2
Cycle 3
Cycle 4
Cycle 5
Fig 4.7 Cyclic tensile testing of untreated sample of NiTi
15
0
20
40
60
80
100
120
-‐1 0 1 2 3 4 5 6
Load (N)
Elongation (mm)
300 C
Cycle 1
Cycle 2
Cycle 3
Cycle 4
Cycle 5
Fig 4.8 Cyclic tensile testing of 300 °C H-‐T NiTi
Fig 4.9 Cyclic tensile testing of 400 °C H-‐T NiTi
-‐5
15
35
55
75
95
-‐1 0 1 2 3 4 5 6
Load (N)
Elongation (mm)
400 C
Cycle 1
Cycle 2
Cycle 3
Cycle 4
Cycle 5
16
4.2.2 Differential Scanning Calorimeter
Table 4.2 shows a summary table for the DSC transformation temperatures.
Fig 4.10, 4.11, 4.12 show the DSC heat flow results for the untreated alloy.
Fig 4.11 Phase transformation under heating Fig 4.12 Phase transformation for untreated NiTi under cooling for untreated NiTi
H-‐T Temperature (°C) AS (°C) Af (°C) Ms (°C) Mf (°C)
Untreated -‐5 15 10 -‐10
300 10 20 15 -‐5
350 15 35 20 0
400 30 45 45 25
-‐10 10
Fig. 4.10 Heat flow against temperature graph for untreated NiTi
17
Fig. 4.13, 4.14, 4.15 DSC results for 300 °C H-‐T NiTi
Fig. 4.14 Phase transformation under heating for 300 °C H-‐T NiTi
Fig. 4.15 Phase transformation during cooling for 300 °C H-‐T NiTi
-‐5
15
Fig. 4.13 Heat flow against temperature graph for 300 °C H-‐T NiTi
18
Fig. 4.16, 4.17, 4.18 DSC results for 350 °C treated NiTi
Fig 4.17 Phase transformation under heating for 350 °C H-‐T NiTi
Fig 4.18 Phase transformation under cooling for 350 °C H-‐T NiTi
0
20
Fig 4.16 Heat flow against temperature graph for 350 °C H-‐T NiTi
19
Fig. 4.19, 4.20, 4.21 DSC results for 400 °C H-‐T NiTi
Fig 4.20 Phase transformation under heating for 400 °C H-‐T NiTi
Fig 4.21 Phase transformation under cooling for 400 °C H-‐T NiTi
Fig 4.19 Heat flow against temperature graph for 400 °C H-‐T NiTi
20
4.3 Fabrication of coil spring prototype
Having gained more of an understanding of the material, it was important to try and make a
model of the NiTi in the coil application. The challenge of this was coming up with a method
of creating a coil from a length of straight wire. In order to resolve this, an assembly was
constructed. This involved clamping the wire tightly into a coil around a solid bar. This
assembly is shown in fig 4.22. The assembly was then treated in the furnace at 400 °C for
one hour. This temperature was chosen because the coil would work well under the SME if it
were in a highly martensitic form at room temperature. The H-‐T didn’t work as expected,
because the cooling rate of the coil during quenching was different as it was still attached to
the fixture. This resulted in the coil having characteristics of a standard wire H-‐T to 350 °C
and with a structure much less martensitic in proportion than desired for the coil. To resolve
this, the H-‐T was carried out again at 450 °C. This produced a coil that had more appropriate
H-‐T characteristics. Fig 4.24 shows the two resulting coils.
Figs 4.25, 4.26, 4.27 show a demonstration of the three phases of the SME on the prototype.
Fig 4.22 Coil setup before H-‐T Fig 4.23 Coil setup after H-‐T
Fig 4.24 450 °C H-‐T coil & 400 °C H-‐T coil at room temperature
Fig 4.25 NiTi coil in incoherent martensite form. Room temperature and no load.
Fig 4.26 NiTi coil in coherent martensite form Room temperature and after a stress loading.
Fig 4.27 NiTi coil in austenite form after heating.
21
4.4 Analysis of Prototype
In order to visualise how the NiTi coil works as an actuator, a simple demonstration with a
heat gun shows how the SME can be utilised in the coil. It is known from previous content in
this report that the NiTi will change from the parent or austenite form into the martensite
form when subject to a stress loading. This stress loading can be replicated by simply
stretching the coil out by hand. It will remain in a steady plastic form. If a heat source is then
applied to the stretched coil, such as a heat gun, it will return to the austenite form from the
martensite form. This is shown in the coil by returning to the shape that was formed in the
H-‐T process. This clearly demonstrates how the application of heat can be used to control an
actuator exploiting the SME.
Using a thermocouple to measure the exact heat source from the heat gun allows a precise
temperature reading of which the coil is subjected to. Having a precise reading of the
temperature allows us to see the temperature region in which the coil undergoes a phase
transformation. This information allows the NiTi coil to be used as a smart actuator, with
precise control over its function. Applying the same tests to the coil treated at 400 °C shows
similar results, but the transformation is less apparent of an than the 450 °C. This is because
it is in a more austenitic form at room temperature and behaves less plastically. The 450 °C
sample has a larger stroke than the 400 °C sample and thus the SME is more clearly
displayed.
After seeing a prototype of what the coil is physically like, the next stage was to establish
how a particular coil could be created or treated in order to behave in a predictable way and
carry out a specific task. The experimentation carried out previously has shown how the
transformation temperature is affected by H-‐T of the material. The mechanical testing has
shown some ultimate tensile and cyclic tensile properties of a straight NiTi wire. The
application being analysed by this report is in the use of a coil, so it is important to find out
some performance figures for the material in the coil spring form.
Within the coil actuator application there are two different forms;
22
• Compression spring – This is when the coil is compressed at low temperature, and
extends when it is subjected to heat. (fig 4.28)
•
• Extension spring – This is when the coil is extended at low temperature, and
compresses when subjected to heat. (fig 4.29)
Activation types
There are two relevant types of activation that fall under this investigation;
• Thermal activation – this is when the actuation of the coil is induced by a change in
the temperature surrounding the coil. This can be intentionally provoked by an
external source from the user. It can also be as a result of an ambient or varying
temperature in its application, eg. Human body.
• Electrical activation – this is when the actuation of the coil is induced by a current in
the NiTi wire. NiTi inherently possesses a high resistivity due to its structure [13].
This means any current flowing through it will increase the temperature of the wire.
This heat increase is able to activate the SME. The amount of power flowing through
the wire for activation can be easily calculated. The wire can be tailored to conform
to a certain flow requirement by defining its dimensions.
Fig 4.28 SMA compression spring actuation [13]
Fig 4.29 extension spring actuation [13]
Lh= Lengh (High temp) HT=(High Temp) Ll= Length (Low temp) LT=(Low Temp) S=stroke F=force produced
23
The area this investigation is looking at is in soft robotics and their application in the medical
field. These two actuation types are important, as they are both applicable in medical field.
There are many devices that use either or both of these actuation types. Luo et al. describe
designing a device that changes shape due to the higher temperature in the human body
(thermal activation) [14]. For an application such as an endoscope, the user must have
control of the device from outside the body. In order for this, electrical activation is
necessary to allow precise remote control. This kind of device could also be made to react to
a direct temperature stimulus, if there was some requirement for it to adapt to being inside
the body.
24
4.5 CAD Model of Coil
One important aspect of this investigation was to compare data predicted through computer
modelling to that obtained from fabrication of the real coil. Using CAD to design is an
important step as it makes the design process much easier. In order to fully trust in CAD
however, it is important to validate it first.
A coil was designed in Solidworks similar based on the coil prototype made. The CAD model
is shown in fig 4.30. This model illustrates the three stages in the cycle of the SME.
Fig 4.30. CAD model of the coil in High temperature austenite phase
Fig 4.31. CAD model of the coil in the incoherent martensite form ( room temperature free state)
25
Fig 4.33 shows the relationship between the three phases. [16]
This CAD modelling shows the forms of the coil in the three phases that were observed
when experimenting with the prototype.
Simulation of the coil could not be satisfactorily completed, as there was no NiTi material
available in the Solidworks database. This is one of the main limitations of this investigation.
The simulation that was carried out was using the titanium alloy, Ti6Al4V. This was the
closest material to NiTi available. The results of this simulation are in Appendix B. They are
not included in this report, as they are not regarded to replicate NiTi closely enough.
Fig 4.32 CAD coil in the Coherent martensite form after stress loading.
Fig 4.33 The SME [16]
26
5. Discussion
5.1 Mechanical Testing
5.1.1 Tensile fracture test
The load deflection curve for each sample follows a similar trend. The curve initially follows a
material under the influence of Hooke’s law. A ‘plateau’ region follows this in which the
curve levels off. This is when the material is changing from the austenite structure
(incoherent martensite for 400 °C) to a coherent martensite structure. This period is
followed by a rise once again until fracture. The region up until the end of the plateau is
when the previously austenite material is still in the SE region. This means that if the load
was released it would return to its original shape. The maximum load achieved at fracture by
each sample was within 1% of 300N.
The plateau region of the curve where the sample is in the transformation region should be
much flatter. Looking at fig 4.6, it can be seen that this is not the case. This is an error
produced by the experiment. A strain rate of 5mm/min was too high. This caused heat to be
produced in the sample. This subsequently resulted in the friction in the sample increasing,
which caused the load required to increase slightly, altering the shape of the graph This
could be solved by using external cooling to stop the wire from heating up or reducing the
strain rate.
The whole curve is very unstable. There are many regions with big fluctuations. This is due to
having an unsatisfactory gripper to hold the wire. The fastener on the gripper did not
perform particularly well, and allowed the wire to slip very slightly. This caused minute
releases in the load that show up as instabilities on the curve.
5.1.2 Tensile Cyclic Test
The load extension graph for each sample shows some similarities, and also some
differences that are caused by the H-‐T. Each sample initially follows Hooke’s Law before
levelling off; the next section is the ‘plateau’ region. This is where the extension of the
material increases with no increase in load. This period is when the material structure is
27
changing from the austenite form to the martensite form. This transformation is induced by
the stress loading. The cyclic test carried up only loaded the material to 6% extension. This
point was when the graph was still in the ‘plateau’ region. This is within the SE region of the
material. The material behaves superelastically until the end of the plateau region (8%
strain) when the load increases again. Beyond this point is plastic deformation. The SE effect
allows the sample to return to its original length when the load is removed. This can be seen
figs 4.7,4.8,4.9 where the graph returns to the origin between each cycle. In reality there is a
slight difference between each cycle. The maximum load reduces slightly (2%) between the
first and second cycle for the required extension. This difference decreases exponentially for
the succeeding cycles. This is caused by the residual stresses. During each cycle the material
changes its structure from austenite to martensite and back again during unloading. During
each cycle small residual stresses cause a proportion of the martensite form to remain in this
phase and not change back to the austenite form. This means the next cycle will require
slightly less external load to become fully martensite.
The shape of the curves are distinct. As the load begins to release the graph does not follow
the same path of loading. The material remains in the martensite form until below 50% of
the total load is reached. At this point the transformation back to austenite begins to occur.
This transformation results in the elongation reducing with no change in load. Much like the
transformation during loading except in reverse. This point is seen in the ‘plateau’ section of
the graph during the unloading phase of the cycle. This is due to hysteresis between the
austenite and martensite forms.
Comparing the cyclic tensile tests it can be clearly seen that 300 °C and untreated are very
similar. The 300 C sample is still inside the austenite range at room temperature (Fig. 4.14,
4.15). It has lost some of its rigidity compared to the untreated sample, and behaves slightly
more plastically. This is because the H-‐T has brought it closer to the transformation region,
resulting in its structure having an increased martensitic proportion and resulting
characteristics. This is only a small consideration however, and it would be expected to
behave similarly to the untreated sample. The 300 °C sample achieves a load of around 5%
(100N against 95N) less than the untreated sample as it begins the phase transformation
due to stress loading. It behaves similarly during the unloading phase also. Comparing these
graphs shows how the H-‐T can be used to make small adjustments to the characteristics of
the material and how it behaves with the SME.
28
The 400 °C sample behaves much differently to the other samples. The 400 °C sample
plateaus off at a much lower load. The reason for this is because the H-‐T has moved this
sample into an incoherent martensite structure at room temperature. When the 300 °C and
untreated samples were transformed into martensite due to loading, this was a coherent
martensite form. When the 400 °C sample is subject to load it changes from an incoherent
martensite form to a coherent martensite form. This requires less load than a
transformation from austenite as it already in a high proportion of the martensite structure.
400 °C also behaves more plastically than the other samples due to its martensitic form, it
does not return to its original shape as definitely as the other samples. Comparing with the
graphs for 300 °C and untreated, there is a definite ‘plateau’ period on the unloading side of
the graph that signifies the martensite changing back to austenite. In the case of the 400 °C
sample there is no ‘plateau’ region. Instead, it is an exponential decrease until the load is
released. This difference is due to the 400 °C sample returning to an incoherent martensite
form instead of the austenite form of the lower temperature treated sample. There is no
defined transformation phase, as the material does not change back to the austenite form.
5.1.3 Differential Scanning Calorimeter
Figs 4.10, 4.13, 4.16, 4.19 show the shape of graph produced in the DSC analysis. The curve
shows a steady rise, before a drop and then steady decline. The upper curve of the graph
represents the heating phase of the process. This is when the sample begins at a low
temperature (-‐60 °C) and is heated. The DSC records the heat flow movement between the
surroundings and the sample. This is plotted against the ambient temperature. The lower
section of the graph shows the same data except from when the ambient temperature is at
its highest (100 °C) and is cooled back to its original temperature.
The piece of data from these graphs of most interest is the phase transformation, when the
material changes between austenite and martensite. This point is shown on each curve as a
fluctuation of the heat flow at a particular point (t). The heating transformation regions are
slightly more distinct than the cooling regions. With more appropriate equipment providing
a higher sensitivity, the transformation regions would be more clearly defined. However this
was not possible as discussed previously.
29
If the heat and cool transformations are compared for each cycle, (300 °C treated sample –
10 C to 20 °C on heating, -‐5 to 15 °C on cooling. 350 °C treated sample – 15 to 35 °C on
heating, 0 to 20 °C on cooling.) the temperature range for each transformation does not
coincide. This is caused by a temperature hysteresis. Because of this there is no ‘defined
point of transformation’. There are four important temperature points [13];
1. Martensite Finish (Mf)
2. Martensite Start (Ms)
3. Austenite Start (As)
4. Austenite Finish (Af)
The distribution of these points and the hysteresis between them is illustrated in fig 5.1.
Looking at the cooling graphs from the DSC. The phase transformation can be seen to be
shifting on each sample. Untreated has a heating/cooling transformation range of (-‐5 to 15
°C/-‐10 to 10 °C). This progresses to (10 to 20 °C/-‐5 to 15 °C) on the 300 °C sample and (15 to
35 °C/0 to 20 °C) on the 350 °C sample. There is a much larger jump to the 400 °C sample. Its
transformation region is (30 to 45 °C/25 to 45 °C). The DSC data shows that H-‐T of NiTi has a
direct effect on the transformation temperature region. H-‐T of NiTi increases the
transformation temperature of the sample. Using smaller intervals of H-‐T, its effect can be
Fig 5.1 Extension against temperature schematic. Detailing Mf, Ms, As, Af and hysteresis (h). [13]
30
defined even more so that a precise relationship between the H-‐T temperature and the
material transformation temperature can be documented. With this knowledge, the
material can be treated to produce a specifically desired transformation region. This is a very
important factor in utilising the materials SME. It allows NiTi to be used as a precisely
controlled actuator among many other applications.
31
Limitations of project
There were several areas where external limitations hindered the investigation to some
extent;
• Limited availability of the furnaces meant there was a delay starting the
experimentation. This can be seen to push everything back in fig 3.1. It also meant
the time with use of the equipment was relatively low and meant only several broad
H-‐T temperatures could be used.
• NiTi is an expensive material. As a result its availability for this experiment was a
limiting factor. Had there been a greater supply available, more experimentation
could have been carried out.
• The student budget was relatively low and lead to only being able to use limited
machines for experimentation. Ideally, X-‐Ray Diffraction (XRD), Scanning Electron
Microscope (SEM) and Transmission Electron Microscope (TEM) apparatus would
have been available to us. This was not the case due to the limited budget. Using
this apparatus would have allowed us to have a much more comprehensive
understanding of the structure of the samples on a microscopic scale.
• The limited time available on the equipment that was used allowed only limited
samples to be tested. Carry out experimentation on more samples would allow
statistically significant results.
• The available software did not include NiTi as a suitable material. Ti6Al4V was
simulated instead as it was the closest available to NiTi. The materials however are
too dissimilar to include in this study. The simulation for Ti6Al4V is included in
Appendix B.
32
6. Conclusions & Recommendations
1. H-‐T of NiTi produces a thorough change in the characteristics and structure of the
material. It alters the proportions of austenite and martensite structure in the
material structure. A higher temperature H-‐T, and higher martensite proportion
leads to lower phase-‐inducing transformation load. (100N for untreated, 80N for 400
°C). SE limit of NiTi wire under load is 105-‐115N (austenite) & 85N(martensite).
Cyclic loading of NiTi results in an exponentially decreasing load bearing per cycle.
This fatigue in the material is caused by ‘residual strain’. An increase in the H-‐T
temperature causes an increase in the transformation temperature for the material.
Comparing each DSC curve shows a rise of (~10 °C per 50 °C of H-‐T).
2. 400 °C H-‐T sample shows the best qualities for actuator use. It behaves more
plastically, so can deform more than other samples. This allows for a greater
deformation and resulting stroke length under the SME.
3. Mathematical equations allow performance parameters of the coil to be predicted.
These can be used to analyse an existing coil or to generate a design of a coil for a
specified application. (Appendix A)
Recommendations for further Study
This study has given a good understanding of NiTi and its applications utilising SE and the
SME. The limitations previously discussed justify further study in this area. The budget and
equipment shortage meant that the quantity of samples to be tested as desired was not
met. Further studies would carry out more precise testing, such as narrower temperature
treatment to more precisely determine the effect of H-‐T. The budget dictated that only one
set of DSC results were achievable. The lack of suitable equipment also meant that the
machine used was not suited to the analysis required. Other analysis of the material that
would have been beneficial such as X-‐Ray Diffraction (XRD) and the use of a
Transmission/Scanning Electron Microscope (TEM/SEM) was not a realistic proposition due
to the budget constraints. Having access to these instruments allows the structure of the
material to be seen at a microscopic scale. Access to data like this allows further
understanding of the structure of the material and how it changes during H-‐T and during
mechanical testing. In order to assess the simulation of NiTi with CAD, further study into this
area should be undertaken. Software which can fully model NiTi is necessary.
33
The investigation involved making a prototype coil spring to investigate how it could be
designed and created to carry out the application of an actuator. The next stage in this
process is to use the principles determined in this report to design and create a coil and test
it as an actuator in a device
34
References
[1] Selection of shape memory alloys for actuators, Materials and Design 23 (2002) 11-‐19,
Huang W.
[2] Application of trained NiTi SMA actuators in a spatial compliant mechanism:
~Experimental investigations (2008), Sreekumer M, Nagarajan T, Singaperumal M.
[3] Development of NiTi actuator using a two-‐way SMA induced by compressive loading
cycles (2008), Kim HC, Yoo YI, Lee JJ.
[4] Engineering applications of NiTi shape memory alloys (2006), Predki W, Knopik A, Bauer
B.
[5] Recent developments in the research of shape memory alloys (1998), Otsuka K, Ren X.
[6] Science and Technology of Shape-‐Memory Alloys:New Developments (2002), Otsuka K,
Kakeshita T.
[7] Use of NiTi Shape Memory Alloys for Thermal Sensor-‐Actuators (1991), Stoeckel, Waram.
[8] Crystallisation of amorphous sputtered NiTi thin films, 2006, Ramirez AG, Hai Ni, Lee HJ.
[9] Influence of heat treatments on the mechanical properties of high-‐quality Ni-‐rich NiTi
produced by powder metallurgical methods, 2006, Mentz J, Bram M, Buchkremer HP,
Sto ̈ver D.
[10] Effect of post-‐weld-‐annealing on the tensile deformation characteristics of laser welded
NiTi thin foil, 2011, Chan CW, Man HC, Yuen TM.
[11] XRD and TEM study of heteroepitaxial growth of zirconia on magnesia single crystal,
1998, Guinebretiere R, Soulestin B, Dauger A.
[12] Flexible distal tip made of nitinol (NiTi) for a steerable endoscopic camera system, 1999,
Fischer H, Vogel B, Pfleging W, Besser H.
[13] Large Force Shape Memory Alloy Linear Actuator, 2002, Santiago Anadon JR.
[14] Design of SMA Actuator Based Access Device for Transanal Endoscopic Microsurgery,
2010, Luo H, Abel E, Slade A, Wang, Z, Steele R.
[15] Matweb. (2010). Nitinol -‐ NiTi Shape Memory Alloy; Low-‐Temperature Phase. Available:
http://www.matweb.com/search/datasheetText.aspx?bassnum=MTiNi1. Last accessed
10/3/2014.
[16] Mmm-‐jun. (2012). Nickel Titanium. Available:
http://en.wikipedia.org/wiki/Nickel_titanium. Last accessed 11/3/2014.
35
Appendix A -‐ Calculating Performance of Prototype
The purpose of calculating the performance of the prototype was to compare it to the
results obtained from the CAD model. Limitations on the available software have refrained
any useful data being obtained through this method. Subsequently these calculations have
now been rendered somewhat irrelevant to the report, hence they are not included in the
main body of the text.
The prototype created previously was an extension spring, as in this application the spring is
required to produce a tension force when heat is applied. For this case the calculations must
be specific to an extension type spring. The main characteristic parameters for NiTi
extension spring design are maximum shear stress (τmax), maximum shear strain in the
martensitic phase (ϒmax), shear modulus in the austenite phase (GA) and shear modulus in the
martensite phase (GM). The following equations show the mathematical process in solving
these parameters for the created coil spring, using inputs taken from the coil. Equations
sourced from Luo et al. study on Design of SMA Actuator [14].
The spring index, 𝐶 = !! where; D = spring average diameter (1)
d = wire diameter
Wahl’s stress correction factor, 𝑤 = !!!!!!!!
+ !.!"#!
(2)
Max shear stress, τ!"# = !!!"#$!"
𝛑𝒅𝟐 where; Fload= external load (3)
Strain difference between austenite and martensite, 𝛥ϒ = !"#!"!!
(4)
where; ΔL = Stroke length of coil
n = number of turns in coil
Strain in the austenite phase, ϒ! =!!"#!!
(5)
where; GA= Shear modulus in the austenite phase
Max strain in the martensite phase, ϒ!"# = 𝛥ϒ + ϒ! (6)
36
These calculations show how various properties of a coil can be determined. With a
comprehension in how these properties interact and how they can be produced, an
understanding in how to produce a coil with specified properties can be deduced.
37
Appendix B – CAD Simulation
The coil that was created in the CAD software underwent a simulation in Solidworks. The
material used in the simulation was the titanium alloy, Ti6Al4V. This material was used as it
was the most similar to NiTi. It was decided however that its properties were not similar
enough to NiTi to use it as a viable comparison. This it is not an officially included in the
report. NiTi is a very distinct material, and any simulation must be modelling its unique
properties. In essence, this section is included as a reference. The coil was simulated under a
tensile load of 10N from one end while the other end was fixed. Fig 4.24 shows the stress
distribution in the coil. Fig 4.25 shoes the extension of the coil. Table B1 shows a summary of
the properties of Ti-‐6Al-‐4V and the high and low phases of NiTi.
Fig B.1 Stress distribution in coil under 10N tensile load.
Fig B.2 Extension of coil under 10N tensile load.
38
Property Material
NiTi (HT) NiTi (LT) Ti-‐6Al-‐4V
Young’s Modulus, GPa 75 28 113.8
Ultimate Tensile
Strength, MPa (Yield,
MPa)
754-‐960 (560) 754-‐960 (100) 950 (880)
Elongation at Fracture,
%
15.5 15.5 14
Shear Modulus, GPa 28.8 10.8 44
Table B.1 Table comparing properties of Ti-‐6Al-‐4V [15]
39
Appendix C -‐ Project Planning & Time Management
In order to best carry out a project such as this, it is important to plan well and keep to a
schedule in order not to fall behind. One of the first tasks after undertaking the project was
to draw up a schedule. This split the project into sections, working from start to finish in a
logical order. Deadlines for sections were set and a chart was made to allow the candidate
to assess their self against the plan throughout the project. The chart is shown in fig 3.1.
3(S1) 4 5 6 7 8 9 10 11 12 1(S2) 2 3 4 5 6 7 8 914/10/2013 21/10/2013 28/10/2013 04/11/2013 11/11/2013 18/11/2013 25/11/2013 02/12/2013 09/12/2013 16/12/2013 03/02/2014 10/02/2013 17/02/2014 24/02/2014 03/03/2014 10/03/2014 17/03/2014 24/03/2014 31/03/2014
Introduction Meeting5&5introduction5to5project
Read5exisitng5reports5&5thesis'
Inquire5available5equipment
Produce5work5chart
Report Introduction5(ch1)
Literature5Review
Submit5interim5report
Experimentation Design5experiment5plan
Use5furnace5for5NiTi5HT
Failure5tensile5testing
Cyclic5tensile5testing
DSC5test5of5HT5samples
Analysis Analyse5experimental5results
Prototype Create5coil5prototype
Design5coil5using5CAD
Comparison5of5CAD5&5prototype
Report Discussion5of5experimentation
Discussion5of5models
Conclusions
Polish5report5&5submit
Planned5completionActual5completion
Task Week
Fig C.1 Work chart showing planned schedule against actual schedule
40
Table C.1 shows a summary of the progression of objectives throughout the project.
Task Planned Date Achieved Date Days Late
Familiarise self with
project
25/10/13 30/10/13 5
Interim Report 15/10/13 15/10/13 0
Experimentation 07/02/14 06/03/14 27
Analysis 17/02/14 10/03/14 21
Prototype 07/03/14 21/03/14 14
Final Report 04/04/14 02/04/14 -‐2
It is important to look at the progress made during the course of the project. Midway
through there was a point where the author was significantly behind schedule. This came
about in the experimentation. The delay in equipment becoming available resulted in falling
behind schedule. This also coincided with the holiday and exam period, which exaggerated
the length of time behind schedule. Looking at the fig 3.1 & 3.2 it can be seen that the
candidate was able to catch the schedule again in time by the deadline of the report. The
fact that the project was behind schedule at a point shows the importance of planning. The
chart made it clear the author was behind progress, and using this tool allowed a continuous
assessment against the objectives in order to get back up to speed with the required
progress.