Introduction_SBIt is about materials enginerring course similar to william callister subject code is MT30001.It is our sirs slides iam from iit kgp.pdft
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Oct 10, 2025
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About This Presentation
It is about materials enginerring course similar to william callister subject code is MT30001.It is our sirs slides iam from iit kgp
Size: 8.49 MB
Language: en
Added: Oct 10, 2025
Slides: 42 pages
Slide Content
Materials Engg.
MT30001
Metallurgical and Materials
Engineering (MME) department
1
General introduction to Metallurgical
and Materials Engineering
2
Why Materials are IMPORTANT
3
Aviation
Structures
Aerospace
Energy
storage
Biomaterials
Electronics
Automobiles
More niche applications of Materials
Metals/alloys are crucial in Metallurgy and
Materials engineering
4
Types of materials based on STRUCTURES
5
Polycrystal:
high porosity
Polycrystal: low porosity
Optical: Transmittance
single crystal
6
Polyethylene (PE)
Polyethylene oxide (PEO)
7
Nature Communicationsvolume 11, Articlenumber: 1434 (2020)
Single‐crystal polymers (SCPs)
highly ordered
continuous crystal lattice
structure ‐entire sample,
lack grain boundaries.
Not amorphous or
semicrystalline
SCPs are grown under specific
conditions to achieve this high
degree of crystallinity.
These crystals exhibit unique
properties due to their uniform
structure
Can be synthesized in various
architectures, including 1D, 2D,
and 3D.
8
Glass, CR‐39 plastic Polycarbonate
For opacity
incorporate additives, adjust processing
methods, or apply surface treatments.
Trivex
– Amorphous and
optically clear
Metallurgical and Materials
Science & Engineering
What does each of these terms mean?
Engineering: Designing and tailoring a certain process
to obtain specific structure in the materials
that produces a set of pre‐determined properties
for performance during application
Science: Investigate the relationships
Technology: Outcome
9
Materials Engineering:
Selecting the right material
‐Performance in service condition
‐Performance over long run
‐Cost effectiveness
Designing and solving problem involving materials:
Transmission gear, Oil refinery component, Aero‐
Engine components, Integrated Circuit chips
Optimization of the properties
Correlating Processing – Structure –
Properties
Proficient and Confident in
judiciousselectionofmaterials
10
Structure‐dependent interesting mechanical property
12
oGrapheneis a hexagonal form of
‘Carbon’, the same element which makes
‘Diamond’ and every living being!
oGraphene has a Young’s modulus of 1000 GPa, and a tensile
strength of 100 GPa. It is 300×STRONGER than STEEL.
oIt would take an elephant, standing on a pencil to break
through a Graphene sheet!!!!!!!!!!!!!!!!!
C
Graphene
C
C
C
C
C
C
C
C
C
C
C
C
C
C
Graphite
Very weak atomic bonding
Very strong
covalent atomic
bonding
Graphene
Very strong covalent atomic bonding of Carbon
Diamond
Graphene is the strongest material ever recorded, more than 300 times
stronger than the strongest A36 structural steel, at 130 gigap ascals, and more
than forty times stronger than diamond.
https://www.graphenea.com/pages/graphene‐graphite#.Yfoicd9BxPY
Structure
14
: Arrangement of material’s internal components
Subatomic:•Atomic
MicrostructureMacrostructure
Optical microscope
15
Property of materials: defining role of microstructure
1000 µm= 1 mm
16
Rayleigh's criterion
θ = 1.22λ/D
λ =400 nanometers (violet) to 700 nanometers (red)
1 nm = 1 x 10^‐6 mm = 1 x 10^‐7 cm = 1 x 10^‐9 m
17
x=1.22λ/2sinα= 0.61λn/NA
NA=n.sinα
n = refractive index of the lens
sinα=D/2d
The resolution limit is
approximately 0.25 μm1000X
x=1.22λd/D
Scanning Electron Microscope
18
Property of materials: defining role of microstructure
1000 µm= 1 mm
High Resolution Transmission
Electron Microscope
Individual
atoms
19
Property of materials: defining role of microstructure
1000 nm =1 µm
RD
TD
20
Property of materials: Quantitative microstructure
Electron back scattered
diffraction (EBSD) of pure
Titanium in Scanning
electron microscope
(SEM) TEXTURE
Crystallographic Orientation
Individual vibrating
atoms
Science372.6544 (2021): 826-831
21
Property of materials: defining role of microstructure Video
CCMR
Cryo STEM
(Cornell)
Titanic movie scene
Brittle vs Ductile materials and consequences
23
Tensile behavior of different
engineering Materials
24
•Testing of ductile material:
•Mild steel
•Copper
•Testing of Brittle material:
•Fe‐Al alloy
25
•Mild Steel specimen: Total length= 100 mm, G (l
0
) = 25 mm, D = 5 mm
•Copper specimen: Total length= 100 mm, G = 25 mm, D = 6 mm
•Fe‐Al alloy flat specimen: L = 100 mm,
G = 25 mm, W = 6 mm and T = 3 mm.
Cylindrical Sample geometry
Flat Sample geometry
Engineering Stress and Engineering Strain
27
•Engineering Stress
S = Load/Initial Area
PP
Gauge portion
PP
Initial cross
section area
•Engineering Strain:
Ratio of change in length
(displacement) w.r.t.the
original length.
e =
l/l
0
?
?
,
?
4
??
?
,
?
?
??
,
?
,
?
?
?
,
Engineering strain, e
Engineering stress, S
S
y
S
f
S
u The engineering stress (S) vs.
engineering strain (e) curve for a
ductile metal.
e
u
e
f
0.2 % strain offset
(e=0.002)
Loading and unloading curves showing the
recoverable elastic deformation (b, d) and
permanent plastic deformation (a, c).Typical Engineering Stress vs. Engineering Strain curves for
a ductile metal
29
Elastic limit
Engineering Stress‐Strain Curve
Elastic Limit:The point up to which
material shows elastic behaviour, i.e.,
displacement becomes zero as the
loadisremoved.
Immediately after elastic limit
permanentplasticdeformationstarts.
Elasticlimit,however,isextremely
difficulttodetectastheamountof
permanentdeformationjustafterthat
point is very very small. Therefore,
elastic limit is not determined for
engineeringapplication.
30
Engineering Stress‐Strain Curve
•0.2% Offset Yield Strength, S
o
•Tensile Strength or Ultimate
tensile strength, UTS, S
u
•Uniform Strain, e
u
•Strain to Fracture, e
f
Yield Strength:Pointatwhichsmall
but detectable or measurable
amount of plastic deformation
occurs.
Ultimate tensile strength (UTS) :It is the
maximum engineering stress
corresponding to the ‘point of maximum
load’. At UTS, the specimen becomes
instable and necking occurs ‐failure
becomesinevitable.
Engineering Stress‐Strain Curve
31
Uniform elongation (e
u
):Uniform
elongation is a measure of ductility
from manufacturing point of view.
??????
?
L
?
?
??
?
?
?
H100.
Elongation to failure (e
f):Ductility, i.e.,
deformability of a metal is generally
represented by total elongation to
failure.??????
?
L
?
?
??
?
?
?
H100.
e
u
is a very important requirement.
For eg., Ability for drawing a rod into
thin wirewithout the breaking.
Manufacturing of beverage can by deep drawing of
sheet metals is a biaxial loading process requires
High anisotropy i.e., strong crystallographic texture
Larger e
u
and delay in localized necking
Elastic limit
Reduction in area till fracture (%):
??????
?
L
?
,
??
?
?
?
H100.
Resilience:Ability of the material to
absorb energy when deformed
elastically and to return to it when
unloadediscalledResilience.
Toughness:Ability of the material to
absorb energy in the plastic range =
Areaunderthestress‐straincurve
Important Terminologies
32
Mild Steel exhibits yield point phenomenon Easy to identify yield
point.
Some important points on the Stress –Strain curve
33
Engineering Stress
Engineering Strain
2
2
1
3
1
3
IMPORTANTPOINTS:
For structural applications
the applied stress cannot
exceed YSAs the
structure will deform
permanently.
During manufacturing
plastic deformation is
required and applied
stress has to be higher
thantheYS.
•TrueStress:??????L
??????
??????
??????
;
•TrueStrain(??????):
Theinstantaneousstrainisthechangeingaugelengthatanyinstant
oftime,i.e.,????????????L
∆??????
??????
??????
.
Byintegrationwefind,truestrain,
??????L????????????
??????
?????? ??????
where,A
i
is the minimum cross‐sectional area of the gauge at any
instant,dlis the change in length over an instant of time when the
instantaneousgaugelengthisl
i.
34
True Stress and True Strain
Relation between stress and strain
l
0
×A
0
= l×A
A
0
/A = L/L
0
True Stress
??????L??????
??????E?????? is valid up to necking
•True Strain
35
P P
A
0
During plastic deformation volume remains constant
?
?
,
?
,
?
?
?
,
4
??
?
?
?
,
?
?
,
Comparison between engineering stress‐strain and true stress‐st rain
curves.
(Elastic deformation is very small, and hence, ignored)
Why such a difference?
Follow the next slides
Question:Why true stress – true strain curve is different from the engineering stres s‐
strain curve?
Answer:Apointontruestress‐truestraincurveliesaboveandattheleftofengg.
stress‐ engg. strain curve. The eqs. defining true stress, true strain, en gg stress, and
enggstrain(givenabove)canbereferredtounderstandthisaspect.
Forplasticdeformationtohappen,stressincreasescontinuouslytoincr easetheplastic
strain and that phenomenon is called ‘ strain hardening’. Therefore, true stress inside
the specimen increases continuously with the increase in strain at the def orming part
of the specimen. However, after a certain amount of uniform deformation, n ecking
happensandthefurtherdeformationoccursonlywithintheneckedregion.Underthis
instability condition, the cross‐sectional area of the necked region dec reases rapidly.
As the true stress is the ratio of load and instantaneous cross‐section are a. Even
though the load requirement decreases after necking, the instantaneous c ross‐section
area decreases much rapidly after necking. Resulting in the increase in tr ue stress.
Thus, beyond the point of maximum load (i.e., the UTS point), the engineeri ng stress
decreases as it is defined as load divided by a constant (initial cross‐sec tional area of
thespecimen).
37
Also,afterthepointofmaximumload,another
correction corresponding to specimen shape
changesduetoneckingisrequiredtobe
incorporatedintruestress–truestraincurve.
•Question:
How a tensile test specimen of ductile material looks
like during different stages of plastic deformation?
38
39
Zig‐Zag path
Necking accompanied by Void and crack formation
•Question:How to distinguish between a ductile material and
a brittle material just by seeing the fractured specimens?
•Answer:Ductile material typically undergoes either through
ductile rupture or cup‐and‐cone fracture with dull
appearance on fracture surface. In contrast, a brittle material
typically shows flat‐fracture surface with shiny appearance.
40
Brittle
(Flat)
Ductile Single
Crystals (by
Shearing)
Ductile fracture in
Polycrystalline Metals &
Alloys
Distinct features in fracture surfaces
41
Cup and Cone Ductile
Fracture
Flat and Shiny Brittle
Fracture
Metallic Alloys