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Page 1
Process
Engineers
Process
Engineers Tool
Engineers
Tool
Engineers Standarts
Engineers
Standarts
Engineers
Material
Handling
Engineers
Material
Handling
Engineers
Quality
Control
Engineers
Quality
Control
Engineers
Facility
Engineers
Facility
Engineers
Manufacturing EngineersManufacturing Engineers
Application of science, engineering, technology, and
economics to manufacture products of a quality, quantity,
and cost competitiveness in the market place.
Manufacturing Engineering
1.11
Page 1
ACE 305: Dr Mohamed Elfarran
2020
Spectrum of Specialization
Page 2
 Assembly process
 Plant capabilities
 Existing equipment
Process Engineers
Develop a logical sequence of manufacturing operations
for each assembly and for the final assembly of all sub-
assemblies into a finished product. Need a detailed
knowledge of
 Forming process
 Machining process
1.12
Page 2
ACE 305: Dr Mohamed Elfarran
2020
Page 3
Provide proper tools for manufacturing.
Following tools are commonly used in
manufacturing industry:
 Conventional Tools
 Standard tools: Cutting tools, dies
 Non-standard tools: Workpiece holding
devices
 Non-traditional Tools
 Electro-discharge machining (EDM):
electrodes
 Laser
Tool Engineers
1.13
Page 3
ACE 305: Dr Mohamed Elfarran
2020
Page 4
Standards Engineers
Synchronize the entire manufacturing process. For this
purpose, they determine the time requirement for each
operation and their sequences utilizing work standards
and standard times.
1.14
Page 4
ACE 305: Dr Mohamed Elfarran
2020
Page 5
Material Handling Engineers
 Plans for efficient transfer of
materials from one point to
another. They must avoid the
following:
 Disruption of production due to
lack of batches
 Unnecessary level of in-process
stock
 High degree of congestion
1.15
Page 5
ACE 305: Dr Mohamed Elfarran
2020
Page 6
Facility Engineers
 Provide efficient equipment
layout. They must avoid the
following:
 Higher material handling
cost
 Longer manufacturing time
 High level of in-process
stock
 High degree of congestion
in the process flow.
 In some cases, facility
engineers and material
handling engineers combine
in a single group called plant
engineers.
1.16
Page 6
ACE 305: Dr Mohamed Elfarran
2020
Page 7
Quality Control Engineers
Maintain the described level of
product quality by employing a
quality assurance system. Quality
can be established at:
 Product design stage
 Design stage of production system
 Production stage by inspection.
1.17
Page 7
ACE 305: Dr Mohamed Elfarran
2020
Page 8
Page 9
 Quality is defined at the design stage and is built
into the product during manufacturing.
 Design quality sets the specifications on the material
and tolerances.
 Manufacturing quality is the degree of comformity to
the design specifications.
1.18
Page 8
ACE 305: Dr Mohamed Elfarran
2020
Manufacturing Quality
Page 10
Quality vs. Cost
Quality ↑ Cost ↑ Demand ↓
Quality ↑ Quantity ↓ Cost ↑
1.19
Page 9
ACE 305: Dr Mohamed Elfarran
2020
Page 11
Manufacturing Quality (2)
Low Reliability
Good
Enough
High Reliability
High CostLow Cost
Quality Level
CostandValue
Good
Enough
Value to
customer
Cost to
customer
Quality Level
CostandValue
Good
Enough
Total
cost
Original
cost
Running
cost
1.20
Page 10
ACE 305: Dr Mohamed Elfarran
2020
Page 12
Page 13
Creation of
Cohesion
Maintenance of
Cohesion
Destruction
of Cohesion
Increase of
Cohesion
Shape (Form) Modification
2. Deforming 3. Seperating 4. Joining
6. Changing Material Properties
1. Primary
Forming
Rearrangement
of Particles
Removal of
Particles
Addition of
Particles
5. Coating
1.21
Page 11
ACE 305: Dr Mohamed Elfarran
2020
Classification of Manufacturing
Processes (DIN 8530)
Page 14
Manufacturing Processes
1. Primary Forming: Casting, powder metallurgy
2. Deforming: Metal forming processes (bulk and sheet
forming)
3. Separating: Machining
• Conventional machining (turning, milling, grinding, etc.)
• Non-traditional machining (EDM, ECM, EBM, LBM, etc.)
4. Joining: Welding, brazing, riveting, etc.
5. Coating: Painting, electroplating, etc.
6. Changing Material Properties: Heat treatments.
1.22
Page 12
ACE 305: Dr Mohamed Elfarran
2020
Page 15
Page 16
Molecular Structure
 Primary bonds: Strong atom-to-atom attractions by
exchange of valence electrons.
 Ionic bond
 Covalent bond
 Metalic bond
 Secondary bonds: Weak attraction between molecules
(van der Waals forces)
 Permanent Dipole Bond
 Fluctuating Dipole Bonds
2.1
Page 13
ACE 305: Dr Mohamed Elfarran
2020
Page 17
Ionic Bonds
Large inter-atomic forces are created by the “Coulomb”
effect produced by positively and negatively charged ions.
2.2
Page 14
ACE 305: Dr Mohamed Elfarran
2020
Page 18
Covalent Bonds
 Large inter-atomic forces are
created by the sharing of
electrons to form directional
bonds.
 The atoms have small
differences in electro-
negativity & close to each
other in the periodic table.
2.3
Page 15
ACE 305: Dr Mohamed Elfarran
2020
Page 19
Metalic Bonds
Atoms loose their outer
shell electrons and
become (+) ions
surrounded by free
electron cloud. Free
electrons act like “cement”
to hold atoms together.
2.4
Page 16
ACE 305: Dr Mohamed Elfarran
2020
Page 20
Properties
Property Ionic Bond Covalent Bond Metalic Bond
Hardness High Low → Very High Low → High
Ductility Brittle Brittle Ductile
Melting
Temperature
High Low → Very High Low → High
Electrical and
Thermal
Conductivity
Low Low High
Page 17
ACE 305: Dr Mohamed Elfarran
2020
Page 21
Crystaline Structure
Body Centered
Cubic (BCC)
Face Centered
Cubic (FCC)
Hexagonal Closed
Packed Cubic (HCP)
[*] Adapted from Groover (1996).
Page 18
ACE 305: Dr Mohamed Elfarran
2020
Page 22
Structures of Common Metals*
BCC Chromium (Cr), Iron (Fe), Molybdenum (Mo),
Tantalum (Ta), Tungsten (W)
FCC Aluminum (Al), Copper (Cu), Gold (Au), Lead
(Pb), Silver (Ag), Nickel (Ni)
HCP Magnesium (Mg), Titanium (Ti), Zinc (Zn)
[*] At room temperature (20oC).
Page 19
ACE 305: Dr Mohamed Elfarran
2020
Page 23
Page 24
Page 36
ACE 305: Dr Mohamed Elfarran
2020
Uniaxial Tension Experiment
Page 25
Stress and Strain
0A
P
eng =σ
0
0

 −
=engε
where P is load; A0 refers to initial
(undeformed) area.
Hooke’s Law (Elastic Region):
engeng E εσ ⋅=
Proportional Limit
Fracture Strength
Ultimate Strength
Yield Strength
Elastic Region Plastic Region
STRAIN (ε )eng
0.2% offset
or
0.002 (mm/mm)
Engineering Stress - Engineering Strain Curve
Uniform
Elongation Necking Fracture
Engineering stress:
Engineering strain:
Page 37
ACE 305: Dr Mohamed Elfarran
2020
Page 26
Stress and Strain (2)
Strain (ε, εeng)
Stress(σ,σeng)
x
x
σ,ε curve
σeng, εeng curve
yield stress
True Stress:
A
P
=σ
True Strain Increment:

d
d =ε
True Strain (Total):






== ∫ 0
ln
0






d
ε
Page 38
ACE 305: Dr Mohamed Elfarran
2020
Page 27
Additive Property of True Strain
Assume that a specimen of length l0 is elongated to l1
then to l2:






=→
0
2
20
ln


ε 





⋅=→
0
1
1
2
20
ln




εor






+





=→
0
1
1
2
20
lnln




ε hence
211020 →→→
+= εεε
Page 39
ACE 305: Dr Mohamed Elfarran
2020
Page 28
Example 1
 A uniform bar of 100 mm initial length is
elongated to a length of 200 mm in three
stages:
 Stage 1: 100 mm to 120 mm
 Stage 2: 120 mm to 150 mm
 Stage 3: 150 mm to 200 mm.
 Calculate the engineering and true strains for
each stage and compare the sums of the
three with the overall values of the strains.
Page 40
ACE 305: Dr Mohamed Elfarran
2020
Page 29
Strain Relationships
Constant volume during plastic deformations implies:






≈





=⇒≈→⋅≈⋅
A
A
A
A
AA 0
00
0
00 lnln




 ε
Relationship between true and engineering strains:
( )engengeng εεε +=





→+=→−=
−
= 1lnln11
0000
0








Hence ( ) 11ln −=+= ε
εεε eengeng or
Page 41
ACE 305: Dr Mohamed Elfarran
2020
Page 30
Stress Relationships (Cont’d)
Relationship between true and engineering stresses:
0
0
0 

eng
A
A
A
P
A
P
σσ ≈⋅== 





+
−
≈ 1
0
0


engσσ
with
0
0

 −
=engε
We obtain: ( ) ε
σσεσσ eengengeng ≈+≈ or1
or
Page 42
ACE 305: Dr Mohamed Elfarran
2020
Page 31
b
a c
d
e
g
h
f
Load
Strain, εeng
When metals are plastically
deformed, their strength increase.
This is called strain- or work
hardening.
Power (Ludwik or Hollomon)
Law for the flow curve:
n
plf Kεσ =
where
K, n are material constants.
n is called strain hardening
exponent.
Page 43
ACE 305: Dr Mohamed Elfarran
2020
Strain Hardening
Page 32
Strain Hardening (Cont’d)
AP f ⋅= σ
0=⋅+⋅= dAdAPd ff σσnecking
const.=⋅= AV
εdA
d
AdAdAdAdV ⋅−=⋅−=→=⋅+⋅=


 0
εσ
ε
εεσεσ d
n
dKndK f
n
f
n
f ⋅⋅=⋅⋅⋅≈→⋅≈ −1
0=⋅−⋅⋅= εσεσ
ε
dd
n
Pd
u
necking un ε=∴
(1)
(2)
(3)
Page 44
ACE 305: Dr Mohamed Elfarran
2020
Page 33
(Cold) Flow Curves
Courtesy of Prof. Erman Tekkaya
Page 45
ACE 305: Dr Mohamed Elfarran
2020
Page 34
Ductility is the ability to deform
without damage.
Elongation is not uniform after necking.
Engineering “strain” at fracture:
0
0

 −
= fracfrac
engε
Another measure of ductility is the reduction of
area measured on the fractured test piece:
0
0
A
AA
q frac−
=
l
Necking
Ductility
Page 46
ACE 305: Dr Mohamed Elfarran
2020
Page 35
b
a c
d
e
g
h
f
Load
Strain, εeng
Assume material is cold worked to
point “d”:
c
d
c
A
P
YS =
For small elastic strains: Ac ≈ Ad
n
d
d
dd
flow K
A
P
εσ ⋅≈=
n
d
d
flowc KYS εσ ⋅≈≈∴
Yield Strength
Page 47
ACE 305: Dr Mohamed Elfarran
2020
Page 36
b
a c
d
e
g
h
f
Load
Strain, εeng
Cold Worked Material:
c
ec
A
P
UTS =
Annealed Material:
a
ea
A
P
UTS =
( ) ( )
c
aac
A
A
UTSUTS ⋅= annealedhardenedwork
Ultimate Tensile Strength
Page 48
ACE 305: Dr Mohamed Elfarran
2020
Page 37
Effects of Cold Work
Page 49
ACE 305: Dr Mohamed Elfarran
2020
Page 38
For wire drawing, the equivalent
plastic strain is defined as
Since
Flow stress (~ yield strength) of the
drawn-wire becomes
Equivalent Strain – Wire Drawing
Page 55
ACE 305: Dr Mohamed Elfarran
2020
Page 39
Example 3
The strain hardening behavior of an annealed
low-carbon steel is σ = 700⋅ε0.3 [MPa]. The bar
made from this metal is initially cold worked by
10%, followed by an additional cold work of 15%.
 Determine the probable yield strengths
 Find the (ultimate) tensile strengths of the bar for the
initial- and final case.
 If the ductility of the annealed material is 50%,
calculate the ductility for each case.
Page 56
ACE 305: Dr Mohamed Elfarran
2020
Page 40
 Hot working is performed at TH > 0.5.
 Restoration and slip processes occur simultaneously.
 Hot working is strain-rate sensitive as
dt
d
C m
f
ε
=εε=σ  ,)(
 The strain-rate sensitivity exponent m takes the following values:
 Cold working: -0.05 < m < 0.05
 Hot working: 0.05 < m < 0.30
 Super-plasticity: 0.30 < m < 0.70 (very fine grain metals)
 Higher the value of m the larger the elongation.
Hot Working
Page 60
ACE 305: Dr Mohamed Elfarran
2020
Page 41
(Warm/Hot) Flow Curves
Courtesy of Prof. Erman Tekkaya
Page 61
ACE 305: Dr Mohamed Elfarran
2020
Page 42
Annealing is the process of heating a material to some
elevated temperature, holding it at that temperature,
and cooling it back to room temperature.
Annealing is applied to:
 Reduce hardness and brittleness (recovery)
 Recrystallize cold worked metals and obtain a specific
microstructure (recrystallization)
 Relieve residual stresses induced by prior shaping
processes (stress relief annealing)
Page 62
ACE 305: Dr Mohamed Elfarran
2020
Definition of Annealing
Page 43
Annealing
Although the cold-worked
dislocation cell structure is
mechanically stable, it is
NOT thermodynamically
stable!
Recovery Annealing:
No change in grain structure,
just rearrangements of
dislocations
Primary Recrystallization:
New grains are built at nuclei
produced by cold working
Secondary Recyrstallization:
Grain growth by coalescence of
grains. Hydrogen embrittlement
leads to a decrease in ductility.
Page 63
ACE 305: Dr Mohamed Elfarran
2020
Page 44
Annealing (2)
Time and temperature
have interchangeable
effects!
Page 64
ACE 305: Dr Mohamed Elfarran
2020
Page 45
Annealing (3)
 Recyrstallization can
occur only with nuclei
produced by cold
working.
 The more the prior cold
work, the more the
nuclei and the smaller
the grain size.
 If there is no prior cold
work, there will be no
recyrstallization at all.
Page 65
ACE 305: Dr Mohamed Elfarran
2020
Page 46
σxx
σxx
τyx
σyyσyy
τxy
x
y
z
τxz
σzz
σzz
τyz
τzy
τzx
General 3-D State of
Stress:
σ1
σ1
σ2
σ2
σ3σ3
σ1 >σ 2 >σ 3
Principal State of
Stress:
Independent Cartesian Stress Components:
σxx, σyy, σzz, τxy, τyz, τzx
Stress States
Page 66
ACE 305: Dr Mohamed Elfarran
2020
Page 47
Stress States (Cont’d)
σxx
σxx
τyx
σyy
σyy
τxy
x
y
z
x
y
σyy
σyy
τyx
σxxσxx
τyx
τxy
τxy
Plane Stress
State:
Uniaxial Stress
State:
σxx
σxx
x
y
σxxσxx
Page 67
ACE 305: Dr Mohamed Elfarran
2020
Page 48
Transformation of Stress States:
Mohr’s Circle
Page 68
ACE 305: Dr Mohamed Elfarran
2020
Page 49
Uniaxial Yield Criterion:
Generalized Yield Criteria:
Tresca’s
Yield Criterion:
von Mises
Yield Criterion:
YSx =σ
k=
−
=
2
31
max
σσ
τ YS=− 31 σσ
( ) ( ) ( )[ ] YSeq =−+−+−=
2
13
2
32
2
21
2
1
σσσσσσσ
or
Yielding starts if
Yield Criteria
Page 69
ACE 305: Dr Mohamed Elfarran
2020
Page 50

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ACE305: Aircraft Components Design and Manufacture Lec 3

  • 2. Process Engineers Process Engineers Tool Engineers Tool Engineers Standarts Engineers Standarts Engineers Material Handling Engineers Material Handling Engineers Quality Control Engineers Quality Control Engineers Facility Engineers Facility Engineers Manufacturing EngineersManufacturing Engineers Application of science, engineering, technology, and economics to manufacture products of a quality, quantity, and cost competitiveness in the market place. Manufacturing Engineering 1.11 Page 1 ACE 305: Dr Mohamed Elfarran 2020 Spectrum of Specialization Page 2
  • 3.  Assembly process  Plant capabilities  Existing equipment Process Engineers Develop a logical sequence of manufacturing operations for each assembly and for the final assembly of all sub- assemblies into a finished product. Need a detailed knowledge of  Forming process  Machining process 1.12 Page 2 ACE 305: Dr Mohamed Elfarran 2020 Page 3
  • 4. Provide proper tools for manufacturing. Following tools are commonly used in manufacturing industry:  Conventional Tools  Standard tools: Cutting tools, dies  Non-standard tools: Workpiece holding devices  Non-traditional Tools  Electro-discharge machining (EDM): electrodes  Laser Tool Engineers 1.13 Page 3 ACE 305: Dr Mohamed Elfarran 2020 Page 4
  • 5. Standards Engineers Synchronize the entire manufacturing process. For this purpose, they determine the time requirement for each operation and their sequences utilizing work standards and standard times. 1.14 Page 4 ACE 305: Dr Mohamed Elfarran 2020 Page 5
  • 6. Material Handling Engineers  Plans for efficient transfer of materials from one point to another. They must avoid the following:  Disruption of production due to lack of batches  Unnecessary level of in-process stock  High degree of congestion 1.15 Page 5 ACE 305: Dr Mohamed Elfarran 2020 Page 6
  • 7. Facility Engineers  Provide efficient equipment layout. They must avoid the following:  Higher material handling cost  Longer manufacturing time  High level of in-process stock  High degree of congestion in the process flow.  In some cases, facility engineers and material handling engineers combine in a single group called plant engineers. 1.16 Page 6 ACE 305: Dr Mohamed Elfarran 2020 Page 7
  • 8. Quality Control Engineers Maintain the described level of product quality by employing a quality assurance system. Quality can be established at:  Product design stage  Design stage of production system  Production stage by inspection. 1.17 Page 7 ACE 305: Dr Mohamed Elfarran 2020 Page 8
  • 10.  Quality is defined at the design stage and is built into the product during manufacturing.  Design quality sets the specifications on the material and tolerances.  Manufacturing quality is the degree of comformity to the design specifications. 1.18 Page 8 ACE 305: Dr Mohamed Elfarran 2020 Manufacturing Quality Page 10
  • 11. Quality vs. Cost Quality ↑ Cost ↑ Demand ↓ Quality ↑ Quantity ↓ Cost ↑ 1.19 Page 9 ACE 305: Dr Mohamed Elfarran 2020 Page 11
  • 12. Manufacturing Quality (2) Low Reliability Good Enough High Reliability High CostLow Cost Quality Level CostandValue Good Enough Value to customer Cost to customer Quality Level CostandValue Good Enough Total cost Original cost Running cost 1.20 Page 10 ACE 305: Dr Mohamed Elfarran 2020 Page 12
  • 14. Creation of Cohesion Maintenance of Cohesion Destruction of Cohesion Increase of Cohesion Shape (Form) Modification 2. Deforming 3. Seperating 4. Joining 6. Changing Material Properties 1. Primary Forming Rearrangement of Particles Removal of Particles Addition of Particles 5. Coating 1.21 Page 11 ACE 305: Dr Mohamed Elfarran 2020 Classification of Manufacturing Processes (DIN 8530) Page 14
  • 15. Manufacturing Processes 1. Primary Forming: Casting, powder metallurgy 2. Deforming: Metal forming processes (bulk and sheet forming) 3. Separating: Machining • Conventional machining (turning, milling, grinding, etc.) • Non-traditional machining (EDM, ECM, EBM, LBM, etc.) 4. Joining: Welding, brazing, riveting, etc. 5. Coating: Painting, electroplating, etc. 6. Changing Material Properties: Heat treatments. 1.22 Page 12 ACE 305: Dr Mohamed Elfarran 2020 Page 15
  • 17. Molecular Structure  Primary bonds: Strong atom-to-atom attractions by exchange of valence electrons.  Ionic bond  Covalent bond  Metalic bond  Secondary bonds: Weak attraction between molecules (van der Waals forces)  Permanent Dipole Bond  Fluctuating Dipole Bonds 2.1 Page 13 ACE 305: Dr Mohamed Elfarran 2020 Page 17
  • 18. Ionic Bonds Large inter-atomic forces are created by the “Coulomb” effect produced by positively and negatively charged ions. 2.2 Page 14 ACE 305: Dr Mohamed Elfarran 2020 Page 18
  • 19. Covalent Bonds  Large inter-atomic forces are created by the sharing of electrons to form directional bonds.  The atoms have small differences in electro- negativity & close to each other in the periodic table. 2.3 Page 15 ACE 305: Dr Mohamed Elfarran 2020 Page 19
  • 20. Metalic Bonds Atoms loose their outer shell electrons and become (+) ions surrounded by free electron cloud. Free electrons act like “cement” to hold atoms together. 2.4 Page 16 ACE 305: Dr Mohamed Elfarran 2020 Page 20
  • 21. Properties Property Ionic Bond Covalent Bond Metalic Bond Hardness High Low → Very High Low → High Ductility Brittle Brittle Ductile Melting Temperature High Low → Very High Low → High Electrical and Thermal Conductivity Low Low High Page 17 ACE 305: Dr Mohamed Elfarran 2020 Page 21
  • 22. Crystaline Structure Body Centered Cubic (BCC) Face Centered Cubic (FCC) Hexagonal Closed Packed Cubic (HCP) [*] Adapted from Groover (1996). Page 18 ACE 305: Dr Mohamed Elfarran 2020 Page 22
  • 23. Structures of Common Metals* BCC Chromium (Cr), Iron (Fe), Molybdenum (Mo), Tantalum (Ta), Tungsten (W) FCC Aluminum (Al), Copper (Cu), Gold (Au), Lead (Pb), Silver (Ag), Nickel (Ni) HCP Magnesium (Mg), Titanium (Ti), Zinc (Zn) [*] At room temperature (20oC). Page 19 ACE 305: Dr Mohamed Elfarran 2020 Page 23
  • 25. Page 36 ACE 305: Dr Mohamed Elfarran 2020 Uniaxial Tension Experiment Page 25
  • 26. Stress and Strain 0A P eng =σ 0 0   − =engε where P is load; A0 refers to initial (undeformed) area. Hooke’s Law (Elastic Region): engeng E εσ ⋅= Proportional Limit Fracture Strength Ultimate Strength Yield Strength Elastic Region Plastic Region STRAIN (ε )eng 0.2% offset or 0.002 (mm/mm) Engineering Stress - Engineering Strain Curve Uniform Elongation Necking Fracture Engineering stress: Engineering strain: Page 37 ACE 305: Dr Mohamed Elfarran 2020 Page 26
  • 27. Stress and Strain (2) Strain (ε, εeng) Stress(σ,σeng) x x σ,ε curve σeng, εeng curve yield stress True Stress: A P =σ True Strain Increment:  d d =ε True Strain (Total):       == ∫ 0 ln 0       d ε Page 38 ACE 305: Dr Mohamed Elfarran 2020 Page 27
  • 28. Additive Property of True Strain Assume that a specimen of length l0 is elongated to l1 then to l2:       =→ 0 2 20 ln   ε       ⋅=→ 0 1 1 2 20 ln     εor       +      =→ 0 1 1 2 20 lnln     ε hence 211020 →→→ += εεε Page 39 ACE 305: Dr Mohamed Elfarran 2020 Page 28
  • 29. Example 1  A uniform bar of 100 mm initial length is elongated to a length of 200 mm in three stages:  Stage 1: 100 mm to 120 mm  Stage 2: 120 mm to 150 mm  Stage 3: 150 mm to 200 mm.  Calculate the engineering and true strains for each stage and compare the sums of the three with the overall values of the strains. Page 40 ACE 305: Dr Mohamed Elfarran 2020 Page 29
  • 30. Strain Relationships Constant volume during plastic deformations implies:       ≈      =⇒≈→⋅≈⋅ A A A A AA 0 00 0 00 lnln      ε Relationship between true and engineering strains: ( )engengeng εεε +=      →+=→−= − = 1lnln11 0000 0         Hence ( ) 11ln −=+= ε εεε eengeng or Page 41 ACE 305: Dr Mohamed Elfarran 2020 Page 30
  • 31. Stress Relationships (Cont’d) Relationship between true and engineering stresses: 0 0 0   eng A A A P A P σσ ≈⋅==       + − ≈ 1 0 0   engσσ with 0 0   − =engε We obtain: ( ) ε σσεσσ eengengeng ≈+≈ or1 or Page 42 ACE 305: Dr Mohamed Elfarran 2020 Page 31
  • 32. b a c d e g h f Load Strain, εeng When metals are plastically deformed, their strength increase. This is called strain- or work hardening. Power (Ludwik or Hollomon) Law for the flow curve: n plf Kεσ = where K, n are material constants. n is called strain hardening exponent. Page 43 ACE 305: Dr Mohamed Elfarran 2020 Strain Hardening Page 32
  • 33. Strain Hardening (Cont’d) AP f ⋅= σ 0=⋅+⋅= dAdAPd ff σσnecking const.=⋅= AV εdA d AdAdAdAdV ⋅−=⋅−=→=⋅+⋅=    0 εσ ε εεσεσ d n dKndK f n f n f ⋅⋅=⋅⋅⋅≈→⋅≈ −1 0=⋅−⋅⋅= εσεσ ε dd n Pd u necking un ε=∴ (1) (2) (3) Page 44 ACE 305: Dr Mohamed Elfarran 2020 Page 33
  • 34. (Cold) Flow Curves Courtesy of Prof. Erman Tekkaya Page 45 ACE 305: Dr Mohamed Elfarran 2020 Page 34
  • 35. Ductility is the ability to deform without damage. Elongation is not uniform after necking. Engineering “strain” at fracture: 0 0   − = fracfrac engε Another measure of ductility is the reduction of area measured on the fractured test piece: 0 0 A AA q frac− = l Necking Ductility Page 46 ACE 305: Dr Mohamed Elfarran 2020 Page 35
  • 36. b a c d e g h f Load Strain, εeng Assume material is cold worked to point “d”: c d c A P YS = For small elastic strains: Ac ≈ Ad n d d dd flow K A P εσ ⋅≈= n d d flowc KYS εσ ⋅≈≈∴ Yield Strength Page 47 ACE 305: Dr Mohamed Elfarran 2020 Page 36
  • 37. b a c d e g h f Load Strain, εeng Cold Worked Material: c ec A P UTS = Annealed Material: a ea A P UTS = ( ) ( ) c aac A A UTSUTS ⋅= annealedhardenedwork Ultimate Tensile Strength Page 48 ACE 305: Dr Mohamed Elfarran 2020 Page 37
  • 38. Effects of Cold Work Page 49 ACE 305: Dr Mohamed Elfarran 2020 Page 38
  • 39. For wire drawing, the equivalent plastic strain is defined as Since Flow stress (~ yield strength) of the drawn-wire becomes Equivalent Strain – Wire Drawing Page 55 ACE 305: Dr Mohamed Elfarran 2020 Page 39
  • 40. Example 3 The strain hardening behavior of an annealed low-carbon steel is σ = 700⋅ε0.3 [MPa]. The bar made from this metal is initially cold worked by 10%, followed by an additional cold work of 15%.  Determine the probable yield strengths  Find the (ultimate) tensile strengths of the bar for the initial- and final case.  If the ductility of the annealed material is 50%, calculate the ductility for each case. Page 56 ACE 305: Dr Mohamed Elfarran 2020 Page 40
  • 41.  Hot working is performed at TH > 0.5.  Restoration and slip processes occur simultaneously.  Hot working is strain-rate sensitive as dt d C m f ε =εε=σ  ,)(  The strain-rate sensitivity exponent m takes the following values:  Cold working: -0.05 < m < 0.05  Hot working: 0.05 < m < 0.30  Super-plasticity: 0.30 < m < 0.70 (very fine grain metals)  Higher the value of m the larger the elongation. Hot Working Page 60 ACE 305: Dr Mohamed Elfarran 2020 Page 41
  • 42. (Warm/Hot) Flow Curves Courtesy of Prof. Erman Tekkaya Page 61 ACE 305: Dr Mohamed Elfarran 2020 Page 42
  • 43. Annealing is the process of heating a material to some elevated temperature, holding it at that temperature, and cooling it back to room temperature. Annealing is applied to:  Reduce hardness and brittleness (recovery)  Recrystallize cold worked metals and obtain a specific microstructure (recrystallization)  Relieve residual stresses induced by prior shaping processes (stress relief annealing) Page 62 ACE 305: Dr Mohamed Elfarran 2020 Definition of Annealing Page 43
  • 44. Annealing Although the cold-worked dislocation cell structure is mechanically stable, it is NOT thermodynamically stable! Recovery Annealing: No change in grain structure, just rearrangements of dislocations Primary Recrystallization: New grains are built at nuclei produced by cold working Secondary Recyrstallization: Grain growth by coalescence of grains. Hydrogen embrittlement leads to a decrease in ductility. Page 63 ACE 305: Dr Mohamed Elfarran 2020 Page 44
  • 45. Annealing (2) Time and temperature have interchangeable effects! Page 64 ACE 305: Dr Mohamed Elfarran 2020 Page 45
  • 46. Annealing (3)  Recyrstallization can occur only with nuclei produced by cold working.  The more the prior cold work, the more the nuclei and the smaller the grain size.  If there is no prior cold work, there will be no recyrstallization at all. Page 65 ACE 305: Dr Mohamed Elfarran 2020 Page 46
  • 47. σxx σxx τyx σyyσyy τxy x y z τxz σzz σzz τyz τzy τzx General 3-D State of Stress: σ1 σ1 σ2 σ2 σ3σ3 σ1 >σ 2 >σ 3 Principal State of Stress: Independent Cartesian Stress Components: σxx, σyy, σzz, τxy, τyz, τzx Stress States Page 66 ACE 305: Dr Mohamed Elfarran 2020 Page 47
  • 48. Stress States (Cont’d) σxx σxx τyx σyy σyy τxy x y z x y σyy σyy τyx σxxσxx τyx τxy τxy Plane Stress State: Uniaxial Stress State: σxx σxx x y σxxσxx Page 67 ACE 305: Dr Mohamed Elfarran 2020 Page 48
  • 49. Transformation of Stress States: Mohr’s Circle Page 68 ACE 305: Dr Mohamed Elfarran 2020 Page 49
  • 50. Uniaxial Yield Criterion: Generalized Yield Criteria: Tresca’s Yield Criterion: von Mises Yield Criterion: YSx =σ k= − = 2 31 max σσ τ YS=− 31 σσ ( ) ( ) ( )[ ] YSeq =−+−+−= 2 13 2 32 2 21 2 1 σσσσσσσ or Yielding starts if Yield Criteria Page 69 ACE 305: Dr Mohamed Elfarran 2020 Page 50