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Metal Forming Part - I
Dr.R.Narayanasamy B.E.,M.Tech.,M.Engg.,Ph.D.,(D.Sc.)
Professor, Department of Production Engineering,
National Institute of Technology,
Tiruchirappalli – 620 015, Tamil Nadu, India.
9/8/2015 1
Strain Hardening
• Strain hardening occurs when the metals are
deformed at lower temperature.
• Flow stress increases with increasing strain.
• This applies to forming temperatures that are
low, that the thermally activated process plays
no significant role.
• Strain hardening results in higher forming
force and forming work, thus enhancing the
load stresses acting on the tool.
9/8/2015 2
Strain Hardening cont…
• As a result of strain hardening (in many cases)
heat treatment is required.
• After every forming operation to improve
formability for obtaining the required
deformation heat treatment is required.
Alternative way:
• Metal forming at high (elevated) temperatures.
• Dimensional accuracy and surface quality is poor
in hot forming operation.
9/8/2015 3
Strain Hardening cont…
• Strain hardening can be used in all metals and
alloys to increase strength and hardness.
• The increase in flow stress and tensile
strength permits the use of materials with
lower initial strength compared to machined
components.
• In many cases heat treatment becomes
unnecessary because of strain hardening.
9/8/2015 4
Work hardening
• Atoms are arrested in a certain geometric fashion
(called as crystal structure).
• Impossible to have perfect arrangement of atoms
(certain type of defects will be in crystal
structure).
• The important type of defect is dislocation – line
defect.
• To cause plastic deformation – external forces are
applied. Dislocations move till they are arrested
by barriers (grain boundaries, inclusions etc.).
9/8/2015 5
Work hardening cont…
• During the process, the density of the dislocation
increases by Frank Reed sources.
• Dislocation density for annealed metal is 106 − 108/
𝑐𝑚2.
• Dislocation density for cold worked metal is 1012/𝑐𝑚2.
• As the dislocation density increases, the movement of
dislocation becomes more difficult. (because mean free
path of dislocation reduces and this is called back
stress).
• This process increases the strength of metal called
work hardening.
9/8/2015 6
Annealing
Annealing: when the metal is subjected to cold
working.
• Strength increases.
• Hardness increases.
• Percentage elongation decreases.
• Percentage area reduction in cross section
decreases.
9/8/2015 7
Annealing
𝝉 𝒆𝒓 ≅
𝑻 𝒎
𝟐
9/8/2015 8
Annealing cont…
• If the cold work is severe/excessive, the metal
will fracture before reaching the desired shape
or size.
• So, the cold working is carried out with several
steps with intermediate annealing.
• Intermediate annealing- softens the metal and
restores ductility
• This repeated sequence (cold work +
annealing) is called cold work – anneal cycle.
9/8/2015 9
Annealing cont…
9/8/2015 10
Annealing cont…
• Cold worked metals are annealed in inert gas
atmosphere. Otherwise, the metal will react with
atmospheric oxygen and get oxidized.
• Manufacturing cost is increased.
• After annealing metals have:
a. Low yield stress.
b. Low hardness.
c. High elongation.
d. Low strain hardening exponent.
9/8/2015 11
Annealing of cold worked metal
• Annealing cycles/techniques used for cold
working metals:
a.
•Full annealing
b.
•Sub critical annealing
c.
•Spheroidize annealing
9/8/2015 12
Annealing of cold worked metal cont…
• Cold worked metal has higher internal energy
than un deformed metal.
• When the metal is heated, the cold worked
state becomes more unstable.
• The metal softens to a strain - free condition.
• The overall process by which this occurs is
known as Annealing.
• Annealing restores the ductility of the metal.
9/8/2015 13
Annealing of cold worked metal cont…
Three stages of Annealing process
a.
•Recovery
b.
•Recrystallization
c.
•Grain growth
9/8/2015 14
Annealing of cold worked metal cont…
9/8/2015 15
Annealing of cold worked metal cont…
Recovery:
• Restores physical properties. (Ex. Electrical
conductivity).
• Reduces dislocation density.
• No change in microstructure and Mechanical
properties.
9/8/2015 16
Annealing of cold worked metal cont…
Recrystallization: Replacement of cold worked
microstructure with new set of strain- free
grains.
• It reduces strength and hardness.
• Increases the ductility.
The stored energy of cold worked metal is the
driving force for both recovery and
recrystallization.
9/8/2015 17
Annealing of cold worked metal cont…
9/8/2015 18
Annealing of cold worked metal cont…
Main variables of recrystallization are:
1. Amount of prior deformation.
2. Temperature.
3. Time.
4. Initial grain size.
5. Composition.
6. Amount of recovery.
𝑹𝒆𝒄𝒓𝒚𝒔𝒕𝒂𝒍𝒍𝒊𝒛𝒂𝒕𝒊𝒐𝒏 𝒕𝒆𝒎𝒑𝒆𝒓𝒂𝒕𝒖𝒓𝒆 =
𝑴𝒆𝒕𝒂𝒍 𝒎𝒆𝒍𝒕𝒊𝒏𝒈 𝒕𝒆𝒎𝒑𝒆𝒓𝒂𝒕𝒖𝒓𝒆
𝟐
9/8/2015 19
Annealing of cold worked metal cont…
Relationship of variables:
• Smaller the degree of deformation, higher temperature
is required for recrystallization.
• A minimum amount of deformation is required to
cause recrystallization.
• Increasing the annealing time, decreases the
recrystallization temperature.
• Greater the degree of deformation and lower the
annealing temperature (recrystallized grain size will be
small).
• Crystallization temperature decreases with increasing
purity of metals. Solid solution alloying additions raise
the recrystallization temperature.
9/8/2015 20
Cold Working
Cold working is the process of deforming the
metal under conditions of temperature and
strain rate, such that the strain hardening
produced by working is not relieved.
• Cold working is carried out below the
recrystallization temperature (𝑇𝑅 𝐶)of metals.
9/8/2015 21
Cold Working cont…
Structural changes due to cold working
Before working After working
9/8/2015 22
Cold Working cont…
Advantages
• No scaling and oxidation occur,
because of low deformation
temperature.
• Good surface finish.
• Close dimensional tolerance can
be obtained.
• Automation is possible because
of low working temperature.
• Thin gauge sheets can be
manufactured.
• Strength can be controlled by
controlling formability
parameters.
Dis advantages
• Higher capacity machines are
required because the strength of
metal increases at low
temperature.
• The formability of metals is poor
at low temperatures. Hence,
costly annealing operations are
required.
• Cold working introduces residual
stresses. Hence, stress relieving
annealing operation is required.
• Costly tools are required to take
care of high forming stresses.
9/8/2015 23
Hot Working
• Hot working is a process of plastically deforming a
metal under conditions of temperature and strain rate.
• Recrystallization occurs during or immediately after
deformation.
• No work hardening occurs in metals.
• Microstructure elongates in the direction of the
applied load.
• Strain – free grains are formed because of high
temperature.
• Size of grains depends on following parameters:
a. Temperature.
b. Percentage amount of work.
9/8/2015 24
Hot Working cont…
Property changes due to cold working
(a) (b)
9/8/2015 25
Hot Working cont…
9/8/2015 26
Hot Working cont…
Advantages
• Lower capacity machines
are sufficient because of
lower forming stresses.
• Number of forming stages
required to obtain particular
shape is less (because of
good formability at higher
temperatures).
• No work hardening occurs –
higher deformation is
possible.
Dis advantages
• Heating facilities are
required which increases
the investment cost.
• Scaling and oxidation occurs
during hot working.
• Material losses due to
scaling.
• Poor dimensional
tolerances.
9/8/2015 27
Hot Working cont…
Advantages
• Stress relieving is not
necessary because of higher
temperature.
• Reduces chemical in
homogeneities because of
rapid diffusion at high
temperature.
• Blow holes and porosities
can be eliminated at high
temperature.
Dis advantages
• Thin gauge material cannot
be manufactured.
• Automation is difficult.
• Surface decarburization
reduces the strength of
surface.
• Due to non uniform
deformation, structure and
properties are not same
over the cross section.
(Normalizing is needed).
9/8/2015 28
Warm Working
• Warm working is a process of plastically
deforming a metal under conditions of
temperature and strain rate.
• The drawbacks of both cold working and hot
working are eliminated with their combined
advantages.
9/8/2015 29
Warm Working cont…
Selection of warm working temperature is based
on the following factors:
1. Yield or flow strength of material.
2. Ductility or Formability of the material.
3. Dimensional tolerances.
4. Scaling and oxidation losses.
9/8/2015 30
Effect of strain rate on Formability
Strain rate/ deformation velocity has three
principal effects in metal working.
a. Flow stress of the metal increases with strain
rate.
b. The temperature of work piece increases
because of adiabatic heating.
c. Lubrication at the tool-metal interface.
9/8/2015 31
The strain rate for a cylindrical upset in compression
is:
Where h- instantaneous height (varies with axial
distance – converging dies)
V- the deformation velocity.
It is convenient to define mean strain rate by: ἐ̅ 𝒙 =
𝟏/𝑳 𝟎
𝑳
ἐ 𝒕 𝒅𝒙
Where L- length of contact b/w tool & work piece.
ἐ 𝒕 =
𝒅𝜺
𝒅𝒕
=
𝟏
𝒉
𝒅𝒉
𝒅𝒕
=
𝒗
𝒉
Effect of strain rate on Formability
cont…
9/8/2015 32
It is more usual to evaluate the mean strain rate in
terms of the time for an element to travel through
the die
ἐ̅ 𝒙 =
𝟏
𝒕 𝒇
𝟎
𝒕 𝒇
ἐ 𝒕 𝒅𝒕
For hot extrusion root mean power strain rate is
ἐ 𝒓𝒎𝒑 = [
𝟏
𝒍𝒏𝑹 𝟎
𝒍𝒏𝑹
(ἐ) 𝒎
𝒅𝜺]
𝟏
𝒎
(for strain rate sensitive material at large
deformation)
Effect of strain rate on Formability
cont…
9/8/2015 33
• Forming velocity of equipment is
faster than the cross head velocity of
UTM m/c.
• The values of flow stress obtained
using tension/compression test are
not directly applicable for forming
load calculation.
In practical cold work – increase in flow
stress due to increase in speed is not
considered.
• For flow stress determination
camplastometer can be used.
• When the forming zone is very small,
it is possible to produce very high
local strain rates.
Effect of strain rate on Formability
cont…
Camplastometer
9/8/2015 34
Examples:
• Fine-wire drawing at a speed of 120ft/s results
in a strain rate in the order of 105
𝑆𝑒𝑐−1
.
• In rolling of thin sheet, the strain r is in the
order of 2𝑋10−3
𝑆𝑒𝑐−1
.
• When the deformation zone is narrow, it
produces a very high particle velocity.
• In high energy rate forming, the deformation
is delivered at a much higher rate.
Effect of strain rate on Formability
cont…
9/8/2015 35
Typical Values of Velocity and Forming
Operation
Operation Velocity (m/s)
Tension test 2 x 10^-6 to 2x 10^-2
Hydraulic Extrusion Press 0.01 to 10
Mechanical Press 0.5 to 5
Forging Hammer 10 to 20
Explosive Forming 100 to 400
9/8/2015 36
Effect of Strain Rate cont…
• For many materials the elongation to fracture
increases with strain rate until a critical strain
rate is reached .
• Once the strain rate reaches a critical value,
the ductility falls off sharply.
• Explosive forming hardens the metal to a quite
high value with no grain distortion.
• Other extreme forming is super plastic
forming .
9/8/2015 37
Effect of Strain Rate cont…
• Material having high strain rate sensitivity
(0.3 ≤ m ≤ 1.0) exhibit pronounced resistance to
necking.
• Generally this occurs with a very fine grain size,
of the order of 1 µm and at deformation
temperature above 0.4 Tm .
• For any super plastic material, there is a limit
strain rate above which it is no longer super
plastic.
9/8/2015 38
Effect of Microstructure on
Forming
9/8/2015 39
9/8/2015 40
9/8/2015 41
9/8/2015 42
9/8/2015 43
9/8/2015 44
Effect of Temperature on Metal
Working
• Forming processes are commonly classified into
hot-working and cold-working operations.
• Hot working is defined as deformation under
conditions of temperature and strain rate such
that recovery and recrystallization of processes
takes place simultaneously with the deformation.
• On the other hand, cold working is deformation
carried out under condition where strain
hardening is dominant.
9/8/2015 45
9/8/2015 46
9/8/2015 47
9/8/2015 48
Hot Working
1. No strain hardening.
2. Distorted grains are replaced
by new strain free grains.
3. Recovery, recrystallization
and grain growth take place.
4. Very large deformation is
possible.
5. At constant flow stress hot
working occurs because flow
stress decreases with
temperature.
6. Energy required is less.
Cold Working
1. Strain hardening exists.
2. Grains get distorted.
3. No such reaction.
4. No large deformation is
possible.
5. Flow stress increases
with deformation.
6. Energy required is more.
9/8/2015 49
Hot Working
• It is an initial step in mechanical working of
most metal and alloys.
• The rapid diffusion at hot working
temperature aids in decreasing the chemical
inhomogenities.
• Blow holes and porosity are eliminated by
the welding together of these cavities.
9/8/2015 50
Hot Working cont…
• Coarse columnar grains of the casting are
broken and refined into smaller equiaxed
recrystallized grains.
• These changes in structure result in increase
in ductility and toughness over the cast state.
9/8/2015 51
Hot Working cont…
Disadvantages :-
i. Surface oxidization.
ii. Scale formation takes place.
iii. Embrittlement of metal by O2 is possible.
iv. Surface decarburization.
v. Poor surface finish.
9/8/2015 52
Hot Working cont…
Disadvantages :-
vi. More allowance must be made for thermal
expansion and contraction in design.
vii. Structure and properties are not uniform
because the deformation is always greater in
the surface than core. This results in fine
grains at the surface and coarse grain at the
core.
9/8/2015 53
Hot Working cont…
• The lower temperature limit for the hot-working
of metals is the lowest temperature at which the
rate of recrystallization is rapid enough to
eliminate strain hardening in the time when the
metal is at temperature of recrystallization.
9/8/2015 54
Hot Working cont…
Hot working temperature depends on
amount of deformation and the time that the
metal is at temperature.
the amount of deformation Tre
• Metal which is rapidly deformed and cooled
rapidly from temperature will require a higher
hot working temperature for the same degree
of deformation than will metal slowly
deformed and slowly cooled.
9/8/2015 55
Hot Working cont…
• The upper limit for working is determined by the
temperature at which melting or excessive
oxidization takes place.
• Maximum temperature = Tmelting – 100° F
• Whenever the metal contains low melting
constituents along the grain boundaries, they
melt and make the material crumble into pieces
during hot-working.
• Such condition is known as hot shortness or grain
boundary burning.
9/8/2015 56
Hot Working cont…
• Finishing temperature is
always just above Tre
(in order to get fine
recrystallized grains)
compared to initial and
intermediate forming
stages.
9/8/2015 57
Deformation(%)
Cold short
Hot Working cont…
• Hot shortness is a limitation.
• As the strain rate of deformation increases,
more heat is retained in the workpiece.
• The temperature is to be reduced to keep its
final temperature from reaching the hot
shortness temperature.
9/8/2015 58
Mechanics of Metal Forming
• The primary objective is to express Stress and
Strain involved in metal forming operation in
some mathematical form.
• These are required to produce desired shape.
• Siebel and other German worker proposed
that the maximum shear stress law was the
proper criterion for describing stresses during
forming.
9/8/2015 59
Mechanics of Metal Forming cont…
• Subsequent work showed that Von-Mises flow
criterion provided better agreement with
experimental data.
• Von-Mises criterion is preferred and most
widely used in the analysis of forming
operations.
• These two criteria differ by only 15%.
9/8/2015 60
Mechanics of Metal Forming cont…
• Maximum shear stress law will be used
wherever it needs simplification to the
analysis.
• In metal forming, the volume is assumed to be
constant .
9/8/2015 61
Work of Plastic Deformation
• WT = Total Work
• Wτ = Redundant Work
• Wd = work of deformation (or)
work required for homogenous deformation
• Wf = Work done against friction
9/8/2015 62
Work of Plastic Deformation cont…
• Redundant work is energy expended on
deforming the body which is not involved in a
pure change in shape.
9/8/2015 63
Formability Test
• It is necessary to predict the success of forming
operation on the basis of simple laboratory tests.
• Tension test : stretch forming
• Compression test : Forging, Rolling
• Torsion test : Extrusion, Rolling
• Shift cup test : Deep Drawing
• Erichson test : Stretch forming
• Bent test : Bending
Formability of metal can be studied using the
above tests for forming behaviour.9/8/2015 64
Thank You
9/8/2015 65

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Dr.R.Narayanasamy - Metal forming part - I.

  • 1. Metal Forming Part - I Dr.R.Narayanasamy B.E.,M.Tech.,M.Engg.,Ph.D.,(D.Sc.) Professor, Department of Production Engineering, National Institute of Technology, Tiruchirappalli – 620 015, Tamil Nadu, India. 9/8/2015 1
  • 2. Strain Hardening • Strain hardening occurs when the metals are deformed at lower temperature. • Flow stress increases with increasing strain. • This applies to forming temperatures that are low, that the thermally activated process plays no significant role. • Strain hardening results in higher forming force and forming work, thus enhancing the load stresses acting on the tool. 9/8/2015 2
  • 3. Strain Hardening cont… • As a result of strain hardening (in many cases) heat treatment is required. • After every forming operation to improve formability for obtaining the required deformation heat treatment is required. Alternative way: • Metal forming at high (elevated) temperatures. • Dimensional accuracy and surface quality is poor in hot forming operation. 9/8/2015 3
  • 4. Strain Hardening cont… • Strain hardening can be used in all metals and alloys to increase strength and hardness. • The increase in flow stress and tensile strength permits the use of materials with lower initial strength compared to machined components. • In many cases heat treatment becomes unnecessary because of strain hardening. 9/8/2015 4
  • 5. Work hardening • Atoms are arrested in a certain geometric fashion (called as crystal structure). • Impossible to have perfect arrangement of atoms (certain type of defects will be in crystal structure). • The important type of defect is dislocation – line defect. • To cause plastic deformation – external forces are applied. Dislocations move till they are arrested by barriers (grain boundaries, inclusions etc.). 9/8/2015 5
  • 6. Work hardening cont… • During the process, the density of the dislocation increases by Frank Reed sources. • Dislocation density for annealed metal is 106 − 108/ 𝑐𝑚2. • Dislocation density for cold worked metal is 1012/𝑐𝑚2. • As the dislocation density increases, the movement of dislocation becomes more difficult. (because mean free path of dislocation reduces and this is called back stress). • This process increases the strength of metal called work hardening. 9/8/2015 6
  • 7. Annealing Annealing: when the metal is subjected to cold working. • Strength increases. • Hardness increases. • Percentage elongation decreases. • Percentage area reduction in cross section decreases. 9/8/2015 7
  • 8. Annealing 𝝉 𝒆𝒓 ≅ 𝑻 𝒎 𝟐 9/8/2015 8
  • 9. Annealing cont… • If the cold work is severe/excessive, the metal will fracture before reaching the desired shape or size. • So, the cold working is carried out with several steps with intermediate annealing. • Intermediate annealing- softens the metal and restores ductility • This repeated sequence (cold work + annealing) is called cold work – anneal cycle. 9/8/2015 9
  • 11. Annealing cont… • Cold worked metals are annealed in inert gas atmosphere. Otherwise, the metal will react with atmospheric oxygen and get oxidized. • Manufacturing cost is increased. • After annealing metals have: a. Low yield stress. b. Low hardness. c. High elongation. d. Low strain hardening exponent. 9/8/2015 11
  • 12. Annealing of cold worked metal • Annealing cycles/techniques used for cold working metals: a. •Full annealing b. •Sub critical annealing c. •Spheroidize annealing 9/8/2015 12
  • 13. Annealing of cold worked metal cont… • Cold worked metal has higher internal energy than un deformed metal. • When the metal is heated, the cold worked state becomes more unstable. • The metal softens to a strain - free condition. • The overall process by which this occurs is known as Annealing. • Annealing restores the ductility of the metal. 9/8/2015 13
  • 14. Annealing of cold worked metal cont… Three stages of Annealing process a. •Recovery b. •Recrystallization c. •Grain growth 9/8/2015 14
  • 15. Annealing of cold worked metal cont… 9/8/2015 15
  • 16. Annealing of cold worked metal cont… Recovery: • Restores physical properties. (Ex. Electrical conductivity). • Reduces dislocation density. • No change in microstructure and Mechanical properties. 9/8/2015 16
  • 17. Annealing of cold worked metal cont… Recrystallization: Replacement of cold worked microstructure with new set of strain- free grains. • It reduces strength and hardness. • Increases the ductility. The stored energy of cold worked metal is the driving force for both recovery and recrystallization. 9/8/2015 17
  • 18. Annealing of cold worked metal cont… 9/8/2015 18
  • 19. Annealing of cold worked metal cont… Main variables of recrystallization are: 1. Amount of prior deformation. 2. Temperature. 3. Time. 4. Initial grain size. 5. Composition. 6. Amount of recovery. 𝑹𝒆𝒄𝒓𝒚𝒔𝒕𝒂𝒍𝒍𝒊𝒛𝒂𝒕𝒊𝒐𝒏 𝒕𝒆𝒎𝒑𝒆𝒓𝒂𝒕𝒖𝒓𝒆 = 𝑴𝒆𝒕𝒂𝒍 𝒎𝒆𝒍𝒕𝒊𝒏𝒈 𝒕𝒆𝒎𝒑𝒆𝒓𝒂𝒕𝒖𝒓𝒆 𝟐 9/8/2015 19
  • 20. Annealing of cold worked metal cont… Relationship of variables: • Smaller the degree of deformation, higher temperature is required for recrystallization. • A minimum amount of deformation is required to cause recrystallization. • Increasing the annealing time, decreases the recrystallization temperature. • Greater the degree of deformation and lower the annealing temperature (recrystallized grain size will be small). • Crystallization temperature decreases with increasing purity of metals. Solid solution alloying additions raise the recrystallization temperature. 9/8/2015 20
  • 21. Cold Working Cold working is the process of deforming the metal under conditions of temperature and strain rate, such that the strain hardening produced by working is not relieved. • Cold working is carried out below the recrystallization temperature (𝑇𝑅 𝐶)of metals. 9/8/2015 21
  • 22. Cold Working cont… Structural changes due to cold working Before working After working 9/8/2015 22
  • 23. Cold Working cont… Advantages • No scaling and oxidation occur, because of low deformation temperature. • Good surface finish. • Close dimensional tolerance can be obtained. • Automation is possible because of low working temperature. • Thin gauge sheets can be manufactured. • Strength can be controlled by controlling formability parameters. Dis advantages • Higher capacity machines are required because the strength of metal increases at low temperature. • The formability of metals is poor at low temperatures. Hence, costly annealing operations are required. • Cold working introduces residual stresses. Hence, stress relieving annealing operation is required. • Costly tools are required to take care of high forming stresses. 9/8/2015 23
  • 24. Hot Working • Hot working is a process of plastically deforming a metal under conditions of temperature and strain rate. • Recrystallization occurs during or immediately after deformation. • No work hardening occurs in metals. • Microstructure elongates in the direction of the applied load. • Strain – free grains are formed because of high temperature. • Size of grains depends on following parameters: a. Temperature. b. Percentage amount of work. 9/8/2015 24
  • 25. Hot Working cont… Property changes due to cold working (a) (b) 9/8/2015 25
  • 27. Hot Working cont… Advantages • Lower capacity machines are sufficient because of lower forming stresses. • Number of forming stages required to obtain particular shape is less (because of good formability at higher temperatures). • No work hardening occurs – higher deformation is possible. Dis advantages • Heating facilities are required which increases the investment cost. • Scaling and oxidation occurs during hot working. • Material losses due to scaling. • Poor dimensional tolerances. 9/8/2015 27
  • 28. Hot Working cont… Advantages • Stress relieving is not necessary because of higher temperature. • Reduces chemical in homogeneities because of rapid diffusion at high temperature. • Blow holes and porosities can be eliminated at high temperature. Dis advantages • Thin gauge material cannot be manufactured. • Automation is difficult. • Surface decarburization reduces the strength of surface. • Due to non uniform deformation, structure and properties are not same over the cross section. (Normalizing is needed). 9/8/2015 28
  • 29. Warm Working • Warm working is a process of plastically deforming a metal under conditions of temperature and strain rate. • The drawbacks of both cold working and hot working are eliminated with their combined advantages. 9/8/2015 29
  • 30. Warm Working cont… Selection of warm working temperature is based on the following factors: 1. Yield or flow strength of material. 2. Ductility or Formability of the material. 3. Dimensional tolerances. 4. Scaling and oxidation losses. 9/8/2015 30
  • 31. Effect of strain rate on Formability Strain rate/ deformation velocity has three principal effects in metal working. a. Flow stress of the metal increases with strain rate. b. The temperature of work piece increases because of adiabatic heating. c. Lubrication at the tool-metal interface. 9/8/2015 31
  • 32. The strain rate for a cylindrical upset in compression is: Where h- instantaneous height (varies with axial distance – converging dies) V- the deformation velocity. It is convenient to define mean strain rate by: ἐ̅ 𝒙 = 𝟏/𝑳 𝟎 𝑳 ἐ 𝒕 𝒅𝒙 Where L- length of contact b/w tool & work piece. ἐ 𝒕 = 𝒅𝜺 𝒅𝒕 = 𝟏 𝒉 𝒅𝒉 𝒅𝒕 = 𝒗 𝒉 Effect of strain rate on Formability cont… 9/8/2015 32
  • 33. It is more usual to evaluate the mean strain rate in terms of the time for an element to travel through the die ἐ̅ 𝒙 = 𝟏 𝒕 𝒇 𝟎 𝒕 𝒇 ἐ 𝒕 𝒅𝒕 For hot extrusion root mean power strain rate is ἐ 𝒓𝒎𝒑 = [ 𝟏 𝒍𝒏𝑹 𝟎 𝒍𝒏𝑹 (ἐ) 𝒎 𝒅𝜺] 𝟏 𝒎 (for strain rate sensitive material at large deformation) Effect of strain rate on Formability cont… 9/8/2015 33
  • 34. • Forming velocity of equipment is faster than the cross head velocity of UTM m/c. • The values of flow stress obtained using tension/compression test are not directly applicable for forming load calculation. In practical cold work – increase in flow stress due to increase in speed is not considered. • For flow stress determination camplastometer can be used. • When the forming zone is very small, it is possible to produce very high local strain rates. Effect of strain rate on Formability cont… Camplastometer 9/8/2015 34
  • 35. Examples: • Fine-wire drawing at a speed of 120ft/s results in a strain rate in the order of 105 𝑆𝑒𝑐−1 . • In rolling of thin sheet, the strain r is in the order of 2𝑋10−3 𝑆𝑒𝑐−1 . • When the deformation zone is narrow, it produces a very high particle velocity. • In high energy rate forming, the deformation is delivered at a much higher rate. Effect of strain rate on Formability cont… 9/8/2015 35
  • 36. Typical Values of Velocity and Forming Operation Operation Velocity (m/s) Tension test 2 x 10^-6 to 2x 10^-2 Hydraulic Extrusion Press 0.01 to 10 Mechanical Press 0.5 to 5 Forging Hammer 10 to 20 Explosive Forming 100 to 400 9/8/2015 36
  • 37. Effect of Strain Rate cont… • For many materials the elongation to fracture increases with strain rate until a critical strain rate is reached . • Once the strain rate reaches a critical value, the ductility falls off sharply. • Explosive forming hardens the metal to a quite high value with no grain distortion. • Other extreme forming is super plastic forming . 9/8/2015 37
  • 38. Effect of Strain Rate cont… • Material having high strain rate sensitivity (0.3 ≤ m ≤ 1.0) exhibit pronounced resistance to necking. • Generally this occurs with a very fine grain size, of the order of 1 µm and at deformation temperature above 0.4 Tm . • For any super plastic material, there is a limit strain rate above which it is no longer super plastic. 9/8/2015 38
  • 39. Effect of Microstructure on Forming 9/8/2015 39
  • 45. Effect of Temperature on Metal Working • Forming processes are commonly classified into hot-working and cold-working operations. • Hot working is defined as deformation under conditions of temperature and strain rate such that recovery and recrystallization of processes takes place simultaneously with the deformation. • On the other hand, cold working is deformation carried out under condition where strain hardening is dominant. 9/8/2015 45
  • 49. Hot Working 1. No strain hardening. 2. Distorted grains are replaced by new strain free grains. 3. Recovery, recrystallization and grain growth take place. 4. Very large deformation is possible. 5. At constant flow stress hot working occurs because flow stress decreases with temperature. 6. Energy required is less. Cold Working 1. Strain hardening exists. 2. Grains get distorted. 3. No such reaction. 4. No large deformation is possible. 5. Flow stress increases with deformation. 6. Energy required is more. 9/8/2015 49
  • 50. Hot Working • It is an initial step in mechanical working of most metal and alloys. • The rapid diffusion at hot working temperature aids in decreasing the chemical inhomogenities. • Blow holes and porosity are eliminated by the welding together of these cavities. 9/8/2015 50
  • 51. Hot Working cont… • Coarse columnar grains of the casting are broken and refined into smaller equiaxed recrystallized grains. • These changes in structure result in increase in ductility and toughness over the cast state. 9/8/2015 51
  • 52. Hot Working cont… Disadvantages :- i. Surface oxidization. ii. Scale formation takes place. iii. Embrittlement of metal by O2 is possible. iv. Surface decarburization. v. Poor surface finish. 9/8/2015 52
  • 53. Hot Working cont… Disadvantages :- vi. More allowance must be made for thermal expansion and contraction in design. vii. Structure and properties are not uniform because the deformation is always greater in the surface than core. This results in fine grains at the surface and coarse grain at the core. 9/8/2015 53
  • 54. Hot Working cont… • The lower temperature limit for the hot-working of metals is the lowest temperature at which the rate of recrystallization is rapid enough to eliminate strain hardening in the time when the metal is at temperature of recrystallization. 9/8/2015 54
  • 55. Hot Working cont… Hot working temperature depends on amount of deformation and the time that the metal is at temperature. the amount of deformation Tre • Metal which is rapidly deformed and cooled rapidly from temperature will require a higher hot working temperature for the same degree of deformation than will metal slowly deformed and slowly cooled. 9/8/2015 55
  • 56. Hot Working cont… • The upper limit for working is determined by the temperature at which melting or excessive oxidization takes place. • Maximum temperature = Tmelting – 100° F • Whenever the metal contains low melting constituents along the grain boundaries, they melt and make the material crumble into pieces during hot-working. • Such condition is known as hot shortness or grain boundary burning. 9/8/2015 56
  • 57. Hot Working cont… • Finishing temperature is always just above Tre (in order to get fine recrystallized grains) compared to initial and intermediate forming stages. 9/8/2015 57 Deformation(%) Cold short
  • 58. Hot Working cont… • Hot shortness is a limitation. • As the strain rate of deformation increases, more heat is retained in the workpiece. • The temperature is to be reduced to keep its final temperature from reaching the hot shortness temperature. 9/8/2015 58
  • 59. Mechanics of Metal Forming • The primary objective is to express Stress and Strain involved in metal forming operation in some mathematical form. • These are required to produce desired shape. • Siebel and other German worker proposed that the maximum shear stress law was the proper criterion for describing stresses during forming. 9/8/2015 59
  • 60. Mechanics of Metal Forming cont… • Subsequent work showed that Von-Mises flow criterion provided better agreement with experimental data. • Von-Mises criterion is preferred and most widely used in the analysis of forming operations. • These two criteria differ by only 15%. 9/8/2015 60
  • 61. Mechanics of Metal Forming cont… • Maximum shear stress law will be used wherever it needs simplification to the analysis. • In metal forming, the volume is assumed to be constant . 9/8/2015 61
  • 62. Work of Plastic Deformation • WT = Total Work • Wτ = Redundant Work • Wd = work of deformation (or) work required for homogenous deformation • Wf = Work done against friction 9/8/2015 62
  • 63. Work of Plastic Deformation cont… • Redundant work is energy expended on deforming the body which is not involved in a pure change in shape. 9/8/2015 63
  • 64. Formability Test • It is necessary to predict the success of forming operation on the basis of simple laboratory tests. • Tension test : stretch forming • Compression test : Forging, Rolling • Torsion test : Extrusion, Rolling • Shift cup test : Deep Drawing • Erichson test : Stretch forming • Bent test : Bending Formability of metal can be studied using the above tests for forming behaviour.9/8/2015 64