Lecture 10 : Basics of Materials Science-XIII - Part 1

IIT Kanpur July 201
20 followers
Aug 9, 2024
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students welcome to lecture number 10 so
I hope you are able to understand the
basics of Material Science we are way
behind discussing the AIML first we need
to build out the foundation then we can
discuss about a IML how to utilize that
that's the major important aspect rather
for you so hence first have some
patience and try to understand these
basic aspects So today we're going to
discuss electrical properties but before
that let us take a stock of the things
which you have done in the last lecture
so again and again I'm telling you this
aspects we need to know very nicely our
very importantly
rather the correlation between structure
and
properties and that correlation is only
possible when you know how to connect
processing with the
structure because processing is
something which helps us to make
components using different materials and
once you make it we make certain kind of
a structure or rather micro structure
and that in turn
determines the properties so we
discussed about mechanical properties in
the last two three lectures now we'll
discuss about the functional properties
like electrical magnetic Electronics
properties so electrical properties are
very important because many of the
materials are used in the world
basically based on their good electrical
properties
most important example is copper oxygen
free copper which is used as electrical
cable
worldwide why copper is used what the
advantage of
copper all these things must be known
right because when we used copper
started using copper rather as an
electrical cable we never done any
machine learning calculations to
understand why copper or rather nobody
has actually did a design the copper
came into picture B because it is easily
available Earth
abundant cheaper than many metals like
gold and silver and it has a reasonably
good electrical
conductivity and another important
aspect of copper is it can be made into
different shapes because copper as you
know is an as FCC crystal structure so
therefore it has many sleep systems it
can be easily deformed in different
kinds of shaps
wi rods whatever you want so these all
together give copper the advantage and
that's why you cannot have a cble in the
world made up of other than anything
else other than copper we cannot even
think about it whether you will have
Gaffin and Earth ST which has come into
picture recently but you can't even
dream of using replacing copper by
graphine as electrical conductor so
let's talk about a little bit about that
as you have understood that components
are subjected to the service conditions
so therefore selections of material will
depend on the properties which will
allow you to match its properties with
the service conditions as well as the
manufacturing process you adopt to make
them because if you cannot make them
with any manufacturing process then it's
not of use you will you will you know
I'll talk about it maybe not be today
next lecture you know there are a lot of
superconductors they are fancy materials
they can actually reduce the electrical
losses transmission losses extensively
but they're expensive and most important
thing is it is not easy to make them in
shape we want so therefore manufacturing
ability of any material is of Paramount
importance if you cannot manufacture it
can be used well we talked about
mechanical properties especially we
talked about tensile properties because
material can undergo lot of different
kinds of stress or loading like tensile
loading compressive loading Shia loading
we talked about it a lot but finally I
discuss only ttile testing because that
is the predominant testing method used
in the world for ductile materials for
br materials we use compress testing
compress testing is you know exactly
done in the same setup as as a tensile
testing machine but loading directions
are different so material which are
likely to bitt or likely to show bitt
less must be tested using compression
setup tensile testing is no good for
them tens testing is useful for material
which shows which show dity this is a
snapshot of the tensil St C you can see
here nicely the elastic plus plastic
portion and the
different stages of denell testing for a
sample then we talked about it effect of
strain rate how strain rate can affect
materials or strength of material stand
is defined as a Epsilon doal D Epsilon
by DT and that is a constitutive
relationship which is given by Sigma T =
to C Epsilon do to^
M and sigma T is the tensile true stess
C is a constant and Epsilon dot is
standed m is what stain rate sensitivity
you have to understand one thing this is
a constitution relationship like this
one Sigma T is equal to K Epsilon dot
these two are fundamental
equations they are widely used in
modeling processes modeling different
materials so please keep in mind and I
talked I showed you some values of m m
is normally very low most less than
0.1 but there are cases where a can be
go as high as 05 to point8 like in case
of tianium 6 selenium 4um allies but
normally it doesn't go very high but
there are few cases where it can go even
much High it can go close to one that's
what super plastic deformation can
happen the material can be deform
extensively almost like a 800 to 1,000
percentage increase of its original
length possible without any
failure that's why the super plastic
Behavior comes in picture metallic
Alloys and some Ceramics also show super
plastic
behavior and we understand super plastic
behavior is different from normal
tensile Behavior but you should know
this there are set of materials which
show super plastic
Behavior then I talked about a little
bit about fatigue fatigue is uh more in
know real life situations there are
vibrations in automobiles aircraft
compressor pumps even swaying of bees
buildings all lead to fatig ftig is a
word which is widely used by human
sometime I get tired I said I'm fed so
fting means you have undergone cyclic
loading cyclic stress and strain
basically stress in human life stress is
very common and if this stress is
positive and negative then you started
feeling fatig so fetic is exactly same
materials are subject to cyclic loading
strile or compressive or even both this
what we discussed here you have in the
first case a you can see the loading is
changing from tension to compression and
there is a sinal nature of variation of
the load in the second CL it is only
tension but the nature of loading is
science fle in reality the stress of
stress or VAR on the stress as function
of Cycles maybe a much complex that's
what is shown in she you can see it in C
and this is what is experienced by an
aircraft Wing when subjected to periodic
unpredictable oflo due to wind gust and
this is very very common by the way so
therefore the modeling fatig is not an
easy task you have to understand I not
talked about it different models of fa
ftig because of the time constent
because of the you know discussion to be
limited to certain aspects but one can
go to that book by George Eder I shown
you in the last class and understand how
this is important ftic is normally
characterized by as CS Trace versus
number of Cycles CS we can determine the
fetic limit for Paras metal very easily
for non press metal it is not so easy
just like ill stress in case of tensile
testing for non- press and feros the
last I talk about right CP is time
dependent high temperature
deformation well it can be room
temperature also some metals like lead
tin they show cre Beav room temperature
because their meling temperature very
low let's talk about shoulder allies
which is used in the electronic devices
like in case of phones mobile phones
cameras or in case of computers or
laptops or tabs we use that they are the
circuits are joined by shoulders and we
use a lead shoulder still today and
therefore they can undergo scrip at room
temperature if we don't cool them they
may break even at low stress that's what
happens many of the Cs back down because
of mechanical stress it has fallen down
if your phone might have fallen down on
the floor and then starts not working
because some solar joints might have
broken so therefore creep can happen at
room temperature also but we are talking
about creep in jet engines that happens
at high temperature it's basically
happens due to high temperature
deformation
time depend deformations that's why it
happens and we use super Alloys for
these kind of engines and supera is a
complex chemistry you know you can see
from here also it contains almost like a
10 to 12 elements and creep is what
steny St if it's less than ill St also
if it's subjected to a specimen Li
temperature it will elongate
continuously until it
raptures it's a long-term phenomenon
important in design of steam or gas T
engines of an aircraft so you understand
that and cryp crab is like this stain
versus temperature at certain constant
load and this shows the three stages of
creep primary secondary and tertiary
what is important for is the secondary
CP that's why the CP R which is nothing
but deep Sal by DT is almost
constant and that's something which is
we like to operate in that resign very
clearly
so if you want to have a low at
high temperature you need to have a
single crystals because is
something which is governed by G
boundary sliding so better to have some
kind of a single Crystal without many G
boundaries then it is possible to have
reduce the CP and then I little bit
discuss about stress and for the for the
living cells but again this work was
done by subba sures and J B long back 20
three but is very important that we can
understand that finally we talk about
physical property like density Ming
temperature Pacific and other things
then I told you that this s something
we'll discuss later let's talk about a
little bit more on these aspects before
we go into electrical properties as you
know if I plot let's say if I have a
liquid ice water right let's say if I
have water now water may not be let's
take a metallic liquid let's a pure
copper melted down and then you cooling
it down if I plot relative volume volume
per unit weight as you cool down this
will vary like this first it will drop
and then there's a slope change why this
slope change because if you cool rapidly
to bypass formation of crystals or
grains then you will be able to freeze
like a
glassa
structures there'll be small change in
relative
volume but suppose if you allow the
liquid to solidify by formation of
crystals and this will lead to formation
of spe to generation of future heat of
fusion then this volume will drastically
drop to a lower value well let's
understandable let's say density density
is nothing but mass per volume right
density is nothing but mass per volume
so crystals has higher density compared
to Glass because crystals are more
packed structures we have discussed
about it glasses are random so there are
more open structures so therefore
density of glass is lower than the
density of crystals so mass is same so
that mean volume should change right and
for the crystals volume is smaller
that's why they have a high density for
amoral structure volume is higher
there's more speed space that's why it
is that so now question is if I freeze a
liquid to Glass volume relative volume
will not change much it will change a
little bit because there will be reement
of atoms or relaxation of atoms once is
become solid so liquid to solid to P it
freees a glass is demarcated by change
of viscosity nothing else there are
minute change of
structures at the atomic scale there may
be some small changes but overall atoms
will remain random or semi- random
structures so that's what happened
that's why TG is known as a glass
tensent temperature there a temperature
below which a liquid is frozen into
glass without formation of any crystals
so now Glass is very important material
right I talked about metallic glass
these are the taken from or National Lab
in us this scientists have discovered a
new B metallic glass steel B for steel
that is non magnetic room temperature
and significantly harder than in the
conventional steel this is available in
this article you can see here this is
what is mentioned you can go through
this golf flops are made using ball
metalic class I talked about it right
for the gulf bats you need High
resilience resilience means what Sigma
y² by 2 e Sigma resilience is what
resilience is something known as Sigma y
sare by 2 e so resilience is Sigma y² by
2 e for the glass both Sigma is Sigma Y
is very high and E also is very high
very strip so if you have stess and
curve like
this very strip very high even if it
breaks little bit doesn't matter so you
have a very high a under the
curve that's what is called Regence
R so glasses have that that's why they
are used as a golf club they have a
little bit of dity also compared to the
window glasses that's another reason
they are used you know silicate glass as
you know they have a based on the silica
structure or basically this is structure
of quad quad is what
S2 and silica is basically you know it's
like a tal structure you have a atom the
center which is called silicon atom and
four coin you remember the tetradon
right tetradon is like
this just now I shown you this is a
tetradon and
u this tetradon is basically has a four
corners and there's a central
atom okay these are the four
coordinates and inside in the center
Center of of the tetradon you have a
silicon atoms that's what can be marked
like this okay this is silicon atom this
is oxygen
atom this network actually forms all
across the material and this is a
threedimensional network that is the
structure of the Silicon glasses and
that's why silicon glasses actually for
this crystaline ones this is a this
network is very order for
non-crystalline or glass is this is
random that's a difference so you can
either form silica which which forms you
know different kind of Crystal
structures autonomic
ronal and glass is like a random arment
of that silicon tetr well there are
different kinds of glasses the one which
is show this one you see this is called
Bristol glaze which is used for the cups
and then you have S lime glass which is
what is used in the Windows window panes
and they are actually contents of sodium
sodium o oxide na2o Co
S2 this is sodium gas and this is both
silicate gas which used in the labs of
experiments pipets Baker many things and
you have also vitri silica so V silica
is 100% silica that also can be glass
but that is very very rarely used
normally use a Bor silicate glass window
glass we can also use fiber glass which
are nothing but e glass there you have
five inside so this you see the
chemistry is very important remember we
talked about glass at the beginning
first lecture to impress you upon why
machine learning is important look at
the you know chemical component of glass
it can be many si2 b23 l23 n2o co MGO
k2o zno PBO many other things depending
on the type of glass to given our
perspectives we know tough and glasses
many of these you know glasses on the
car windows are toughen glasses they
have little bit of k2o this K potassium
ion which is bigger than sodium ions
replace some the sodium ions and creates
a surface compressive stress and that
protects makes it tough so that it
doesn't break please go back to
discussion the toughness how the
toughness is Define so tough glasses are
very important even if you give a punch
to the glass it will not break so that's
about the glasses and our things let's
talk about a little bit of electrical
properties remember Glass is very
important component that's what I
thought I should spend some time well
Electric properties means what you have
to differentiate between conductors
semiconductors
insulators and if I take a single
structure high tension cable this is
high tension cable structure I can see
all of them the this cable is Conductor
it's conduct liity this is an insulator
which is making this cable separated
from from this structure structur
structure from this you know this steel
structure so that even if high voltage
is to this cble this will not make this
steel structure conduct City that's why
this is this is basically ceramic this a
peline ceramic usually used for this you
must have seen this kind of things when
you go on the roadside when you see this
high tension cbles this a very widely
observed so you see in the same
structure you have insulator conductor
both patients semiconductors we'll talk
about a little later this s where sem
are very widely used okay this is can
taken from this we it silo.com and they
are actually producing this kind of
chips silicon chips and as you can see
structure is so complex so you have
silic semiconductor this kind of
different kind of structures are built
up I don't know to discuss about lot of
these things you can see different kinds
of things that you silica poly silicon
okay teen tungen T aluminium even say
you know aluminium copper silicon
nitrate all are used this is what is you
know say silicon is a
semiconductor so it's all about
electrons in solids and their ability to
move around within the solid that's what
it is in case of mechanical beh it's all
about defects Point defects line defects
or Surface defs here it is all about
electrons so do we have electrons free
floating around us do you think in air
what do you think obviously not
electrons are not freely forming in air
if it was that then air could have been
conducting electricity like anything it
was have been very difficult to live in
this world because you have electrical
wires around it they could have simply
make the air charged and that could
affect our human life unfortunately hair
is not conductor to electricity but
that's probably one Fortune for us so
electrical conduction is given by what
Ohms law and it is classical ohms law
it's taught in school physics now B is
equal to I into r v is the voltage drop
and that is nothing but J by C J is the
current density and C is the Kum that's
equal to current which is in amps
nothing but K per second and R is a
resistance R is basically a constant and
this is called ohms the resistance is
called home this is called This is
called a Oh's law that was discovered by
oh and you know then we can always
convert the resistance into material
property that's called
resistivity so resistance is not
material properties resistance can
depends on many things like it depends
on area depends on the length of the
wire so if I talk about resistivity it
can be like this row is equal to R into
a by L so r a is the area and L is the
current path flow path that the length
of the quare we always talk about it and
this row is independent of anything it's
basically material property and we can
use this to differentiate between
conductor semiconductor and insulator
so we can always Define conductivity
conductivity is nothing but 1 by row so
either you discuss this electrical
conduction in terms of row or in terms
of Sigma which is remember this Sigma is
different this Sigma is not same as the
stress this is the electrical
conductivity well to give perspectives
let's talk about values of in a
conductivity for Metals metals are
highly conductive toity so they have a
high value of conductivity you need ohm
M universe so you can see copper
6.0 multip by 10 7 massive electrical
conductivity compared to silver copper
silver is hardly one 6.8 nothing much
right so why you use silver copper is
cheaper widely available and it has
almost close to same iron house has
quite a bit less electrical conductivity
so that's why iron is not used Steels
are not used as as a cable steel could
have been used though it was much
cheaper but copper is used because
copper has much higher conductivity if
you consider semiconductors silicon I
told you right germanium also
semiconductor because they comes in the
same column of period table silicon has
a conductivity of 4us 4 you can see
almost 11 or of magnitude less gerum has
better but 2 zero Calum aside which is a
Compound Semiconductor it has much
slower 10us 6 M so that's what it is
these are all taken from cis's book
selected values are taken from book of
kalister and R Swit if you can refer
that what about
Ceramics well just now we talked about s
lime glass Ceramics has a conductivity
of 10us 10 10- 11 concretes 10 - 9
aluminum oxide
10-3 what about polymers polyer which is
we are using as a material for our shs
10 minus 14 polyethylene which is used
as a power pack or pouch in everyday
life 10- 15 - 70 they're all insulators
they don't contract electricity so you
know now the values you know that how to
differentiate them well let us stop here
the part one of the lecture and we'll
talk more about this in the next part
thank you
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