TIME-TEMPERATURETRANSFORMATION DIAGRAM
0.8C

Spring 2001

Dr. Ken Lewis

ISAT 430

2
Phase diagram and TTT diagram
Which informations are obtained from phase diagram or
TTT diagram?

• Phase diagram :
– Describes equilibrium microstructural development that is
obtained at extremely sow cooling or heating conditions.
– Provides no information on time to take to form phase and on
shapes, size and distribution of phase → importance of kinetics

• TTT diagram
– For a given alloy composition, the percentage completion of a
given phase transformation on temperature-time axes is
described.
Nucleation And Growth
• For a eutectic reaction :
L (XE) → +

at TE

(experiment)
(1) Quench the liquid from Tm to some
lower temperature
(2) Measure the time for solidification, to
go to completion at that temperature
• TTT diagram
– The time required for the liquid to
transform to the eutectic
microstructure is function of time
Description of new phase from melt
• Homogeneous nucleation : occurs within a homogeneous
medium.
• Heterogeneous nucleation : nucleation occurs at some structural
imperfection such as foreign surface, and hence with reduced
surface energy
local atomic fluctuation
formation of many small
nuclei
growth of nuclei with
critical size or greater
Change in free energy for homogeneous nucleation
For the transformation of liquid to
solid ;
L→S ;

GV

H T
Tm

and for forming a spherical
nucleus
GT

4 3
r GV
3

4 r2

GT = total free energy change
r = radius of embryo or nucleus
= specific surface free energy
GV = volume free energy change

Solid
Solid-liquid
interface
Liquid
d GT
dr

G
n

*

*

at r =

0

16 r 3
3( GV ) 2
s exp(

r*

2
16 rTm
3 H T2

G*
)
kT

Nuclei larger than critical
size (r*) are stable and can
continue to grow.

r*

2r
GV

n* : number of spherical
nucleus of radius r*
Nucleation rate
.
• Nucleation rate, N : number of nuclei / unit volume / unit time
.

N

exp(

G*
) exp(
kT

ED
)
kT

,where G* : energy barrier to form a
nucleus stable to grow.

G*

• At T just below Tm,
– Diffusion rate is rapid but very few
nuclei are formed.
∵ G* ↑

• At very low T ( T ↑)
– Diffusion rate is extremely low but
many nuclei are formed
∵ G* ↓

• At intermediate T
.
– Max.

N

1
(Tm T ) 2

1
T2

ED : activation energy for diffusion
Growth of nuclei
• Growth of Nuclei
– Growth of nuclei is a diffusional process
.

G

ce

QD

RT

, where QD : activation energy for self diffusion
.

• Transformation rate of a phase :

.

N G
TTT Diagram
• Temperature-time-transformation curve
• TTT diagrams represent specific thermal
histories for the given microstructure.
Isothermal transformation of eutectoid steel
TTT diagram for eutectoid steel
Transformations of austenite : →

+ Fe3C
pearlite

A. Diffusional transformations
1) At slightly lower T below 727 ℃ : T <<
• Coarse pearlite
: nucleation rate is very low.
: diffusion rate is very high.
2) As the Tt (trans. temp.) decreases to
500 ℃
• Fine pearlite
: nucleation rate increases.
: diffusion rate decreases.
Strength : (MPa) = 139 + 46.4 S-1
S : intermetallic spacing

655
℃

600
℃

534
℃

487
℃
A. Diffusional transformations
3) 250 ℃ < Tt < 500 ℃, below the nose in TTT diagram.
• Driving force for the transformation ( → + Fe3C) is very high.
• Diffusion rate is very low.
• Nucleation rate is very high.
→ + Fe3C
: Bainite ; cementite in the form of needle type.

495 ℃

410 ℃

bainite
B. Diffusionless Transformations - Martensitic trans.
: When the austenite is quenched to temp. below Ms
→ ’ (martensite)
: Driving force for trans. of austenite → extremely high.
Diffusoin rate is extremely slow.
: instead of the diffusional migration of carbon atoms to produce
separate and Fe3C phases, the matensite transformation involves
the sudden reorientation of C and Fe atoms from the austenite (FCC)
to a body centered tetragonal (bct) solid solution.
→ ’ (martensite), a solid solution
: super saturated carbon atoms
in ’ + shearlike transformation
→ very hard and brittle phase
martensite
1) Diffusionless transformation → no compositional change during
transformation.
2) The trans. of → ’ starts at Ms temp. and finishes at Mf temp.
3) → ’ (BCT) ;
c/a increases as the carbon content increases.
TTT diagram
The Time – Temperature –
Transformation Curve (TTT)
•
•

•

Spring 2001

Dr. Ken Lewis

At slow cooling rates the trajectory
can pass through the Pearlite and
Bainite regions
Pearlite is formed by slow cooling
– Trajectory passes through Ps
above the nose of the TTT
curve
Bainite
– Produced by rapid cooling to a
temperature above Ms
– Nose of cooling curve avoided.

ISAT 430

18
The Time – Temperature –
Transformation Curve (TTT)
• If cooling is rapid enough
austenite is transformed into
Martensite.
– FCC > BCT
– Time dependent diffusion
separation of ferrite and iron
carbide is not necessary
• Transformation begins at Ms and
ends at Mf.
– If cooling stopped it will
transition into bainite and
Martensite.

Spring 2001

Dr. Ken Lewis

ISAT 430

19
The Time – Temperature –
Transformation Curve (TTT)
• Composition Specific
– Here 0.8% carbon
• At different compositions,
shape is different

Spring 2001

Dr. Ken Lewis

ISAT 430

20
Full TTT Diagram
The complete TTT
diagram for an ironcarbon alloy of eutectoid
composition.

A: austenite
B: bainite
M: martensite
P: pearlite
Martensite
• Diffusionless
transformation
of FCC to BCT (more
volume!)
• Lenticular structure
• Very hard & very brittle.
TTT Diagrams
TTT diagram for Hypo-eutectoid steel.
TTT diagram for a hypereutectoid Steel
(1.13 wt% C)
So What’s a CCT Diagram?
• Phase Transformations and Production of
Microconstituents takes TIME.
• Higher Temperature = Less Time.
• If you don’t hold at one temperature and allow time
to change, you are “Continuously Cooling”.
• Therefore, a CCT diagram’s transition lines will be
different than a TTT diagram.
Slow Cooling

Time in region
indicates amount of
microconstituent!
Medium Cooling

Cooling Rate, R, is
Change in Temp /
Time °C/s
Fast Cooling

This steel is very
hardenable… 100%
Martensite in ~ 1
minute of cooling!
Continuous cooling transformation diagram for eutectoid steels

• Normalizing : heat the steel
into region → cool it in air →
fine pearlite
• Annealing : heat the steel into
region → cool it in furnace
(power off) → coarse pearlite
• THANKS

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TTT diagram

  • 2. 0.8C Spring 2001 Dr. Ken Lewis ISAT 430 2
  • 3. Phase diagram and TTT diagram Which informations are obtained from phase diagram or TTT diagram? • Phase diagram : – Describes equilibrium microstructural development that is obtained at extremely sow cooling or heating conditions. – Provides no information on time to take to form phase and on shapes, size and distribution of phase → importance of kinetics • TTT diagram – For a given alloy composition, the percentage completion of a given phase transformation on temperature-time axes is described.
  • 4. Nucleation And Growth • For a eutectic reaction : L (XE) → + at TE (experiment) (1) Quench the liquid from Tm to some lower temperature (2) Measure the time for solidification, to go to completion at that temperature • TTT diagram – The time required for the liquid to transform to the eutectic microstructure is function of time
  • 5. Description of new phase from melt • Homogeneous nucleation : occurs within a homogeneous medium. • Heterogeneous nucleation : nucleation occurs at some structural imperfection such as foreign surface, and hence with reduced surface energy local atomic fluctuation formation of many small nuclei growth of nuclei with critical size or greater
  • 6. Change in free energy for homogeneous nucleation For the transformation of liquid to solid ; L→S ; GV H T Tm and for forming a spherical nucleus GT 4 3 r GV 3 4 r2 GT = total free energy change r = radius of embryo or nucleus = specific surface free energy GV = volume free energy change Solid Solid-liquid interface Liquid
  • 7. d GT dr G n * * at r = 0 16 r 3 3( GV ) 2 s exp( r* 2 16 rTm 3 H T2 G* ) kT Nuclei larger than critical size (r*) are stable and can continue to grow. r* 2r GV n* : number of spherical nucleus of radius r*
  • 8. Nucleation rate . • Nucleation rate, N : number of nuclei / unit volume / unit time . N exp( G* ) exp( kT ED ) kT ,where G* : energy barrier to form a nucleus stable to grow. G* • At T just below Tm, – Diffusion rate is rapid but very few nuclei are formed. ∵ G* ↑ • At very low T ( T ↑) – Diffusion rate is extremely low but many nuclei are formed ∵ G* ↓ • At intermediate T . – Max. N 1 (Tm T ) 2 1 T2 ED : activation energy for diffusion
  • 9. Growth of nuclei • Growth of Nuclei – Growth of nuclei is a diffusional process . G ce QD RT , where QD : activation energy for self diffusion . • Transformation rate of a phase : . N G
  • 10. TTT Diagram • Temperature-time-transformation curve • TTT diagrams represent specific thermal histories for the given microstructure.
  • 11. Isothermal transformation of eutectoid steel
  • 12. TTT diagram for eutectoid steel
  • 13. Transformations of austenite : → + Fe3C pearlite A. Diffusional transformations 1) At slightly lower T below 727 ℃ : T << • Coarse pearlite : nucleation rate is very low. : diffusion rate is very high. 2) As the Tt (trans. temp.) decreases to 500 ℃ • Fine pearlite : nucleation rate increases. : diffusion rate decreases. Strength : (MPa) = 139 + 46.4 S-1 S : intermetallic spacing 655 ℃ 600 ℃ 534 ℃ 487 ℃
  • 14. A. Diffusional transformations 3) 250 ℃ < Tt < 500 ℃, below the nose in TTT diagram. • Driving force for the transformation ( → + Fe3C) is very high. • Diffusion rate is very low. • Nucleation rate is very high. → + Fe3C : Bainite ; cementite in the form of needle type. 495 ℃ 410 ℃ bainite
  • 15. B. Diffusionless Transformations - Martensitic trans. : When the austenite is quenched to temp. below Ms → ’ (martensite) : Driving force for trans. of austenite → extremely high. Diffusoin rate is extremely slow. : instead of the diffusional migration of carbon atoms to produce separate and Fe3C phases, the matensite transformation involves the sudden reorientation of C and Fe atoms from the austenite (FCC) to a body centered tetragonal (bct) solid solution. → ’ (martensite), a solid solution : super saturated carbon atoms in ’ + shearlike transformation → very hard and brittle phase martensite
  • 16. 1) Diffusionless transformation → no compositional change during transformation. 2) The trans. of → ’ starts at Ms temp. and finishes at Mf temp. 3) → ’ (BCT) ; c/a increases as the carbon content increases.
  • 18. The Time – Temperature – Transformation Curve (TTT) • • • Spring 2001 Dr. Ken Lewis At slow cooling rates the trajectory can pass through the Pearlite and Bainite regions Pearlite is formed by slow cooling – Trajectory passes through Ps above the nose of the TTT curve Bainite – Produced by rapid cooling to a temperature above Ms – Nose of cooling curve avoided. ISAT 430 18
  • 19. The Time – Temperature – Transformation Curve (TTT) • If cooling is rapid enough austenite is transformed into Martensite. – FCC > BCT – Time dependent diffusion separation of ferrite and iron carbide is not necessary • Transformation begins at Ms and ends at Mf. – If cooling stopped it will transition into bainite and Martensite. Spring 2001 Dr. Ken Lewis ISAT 430 19
  • 20. The Time – Temperature – Transformation Curve (TTT) • Composition Specific – Here 0.8% carbon • At different compositions, shape is different Spring 2001 Dr. Ken Lewis ISAT 430 20
  • 21. Full TTT Diagram The complete TTT diagram for an ironcarbon alloy of eutectoid composition. A: austenite B: bainite M: martensite P: pearlite
  • 22. Martensite • Diffusionless transformation of FCC to BCT (more volume!) • Lenticular structure • Very hard & very brittle.
  • 24. TTT diagram for Hypo-eutectoid steel.
  • 25. TTT diagram for a hypereutectoid Steel (1.13 wt% C)
  • 26. So What’s a CCT Diagram? • Phase Transformations and Production of Microconstituents takes TIME. • Higher Temperature = Less Time. • If you don’t hold at one temperature and allow time to change, you are “Continuously Cooling”. • Therefore, a CCT diagram’s transition lines will be different than a TTT diagram.
  • 27. Slow Cooling Time in region indicates amount of microconstituent!
  • 28. Medium Cooling Cooling Rate, R, is Change in Temp / Time °C/s
  • 29. Fast Cooling This steel is very hardenable… 100% Martensite in ~ 1 minute of cooling!
  • 30. Continuous cooling transformation diagram for eutectoid steels • Normalizing : heat the steel into region → cool it in air → fine pearlite • Annealing : heat the steel into region → cool it in furnace (power off) → coarse pearlite