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Fe-C Diagram
Fe-Carbon Diagram
 δ-ferrite – Solid solution of carbon in iron. Maximum concentration of carbon in δ-
ferrite is 0.09% at 2719 ºF (1493ºC) – temperature of the peritectic transformation. The
crystal structure of δ-ferrite is BCC (cubic body centered).
L + Fe3C
2.06 4.30
6.70
M
N
C
P
E
O
G
F
H
Cementite Fe3C
x
x’
0.025
0.83
 Austenite – interstitial solid solution of carbon in γ-iron. Austenite has FCC (cubic
face centered) crystal structure, permitting high solubility of carbon – up to 2.06% at
2097 ºF (1147 ºC). Austenite does not exist below 1333 ºF (727ºC) and maximum
carbon concentration at this temperature is 0.83%.
L + Fe3C
2.06 4.30
6.70
M
N
C
P
E
O
G
F
H
Cementite Fe3C
x
x’
0.025
0.83
 α-ferrite – solid solution of carbon in α-iron. α-ferrite has BCC crystal structure
and low solubility of carbon – up to 0.25% at 1333 ºF (727ºC). α-ferrite exists at
room temperature.
L + Fe3C
2.06 4.30
6.70
M
N
C
P
E
O
G
F
H
Cementite Fe3C
x
x’
0.025
0.83
 Cementite – iron carbide, intermetallic compound, having fixed composition
Fe3C.
L + Fe3C
2.06 4.30
6.70
M
N
C
P
E
O
G
F
H
Cementite Fe3C
x
x’
0.025
0.83
IRON CARBON CONSTITUTIONAL DIAGRAM-II
Alloys, containing
up to 0.51% of
carbon, start
solidification with
formation of crystals
of δ-ferrite. Carbon
content in δ-ferrite
increases up to
0.09% in course
solidification, and at
2719 ºF (1493ºC)
remaining liquid
phase and δ-ferrite
perform peritectic
transformation,
resulting in formation
of austenite.
Alloys, containing carbon more than 0.51%,
but less than 2.06%, form primary austenite
crystals in the beginning of solidification and
when the temperature reaches the curve ACM
primary cementite stars to form.
Iron-carbon alloys, containing up to 2.06%
carbon, are called steels.
 Alloys, containing from 2.06% to
6.67% of carbon, experience eutectic
transformation at (1130 ºC). The
eutectic concentration of carbon is
4.3%.
In practice only hypoeutectic alloys
are used. These alloys (carbon
content from 2.06% to 4.3%) are
called cast iron. When temperature
of an alloy from this range reaches
(1130 ºC), it contains primary
austenite crystals and some amount
of the liquid phase. The latter
decomposes by eutectic mechanism
to a fine mixture of austenite and
cementite, called ledeburite.
 All iron-carbon alloys (steels and cast irons) experience
eutectoid transformation at (727ºC). The eutectoid
concentration of carbon is 0.83%. When the temperature of an
alloy reaches (727ºC), austenite transforms to pearlite (fine
ferrite-cementite structure, forming as a result of
decomposition of austenite at slow cooling conditions).
 Upper critical temperature (point)
A3 is the temperature, below which ferrite
starts to form as a result of ejection from
austenite in the hypoeutectoid alloys.
 Upper critical temperature (point)
ACM is the temperature, below which
cementite starts to form as a result of
ejection from austenite in the
hypereutectoid alloys.
 Lower critical temperature (point)
A1 is the temperature of the austenite-to-
pearlite eutectoid transformation. Below
this temperature austenite does not exist.
CRITICAL TEMPERATURE
IRON CARBON CONSTITUTIONAL DIAGRAM-II
PHASE COMPOSITIONS OF THE IRON-
CARBON ALLOYS AT ROOM
TEMPERATURE
Hypoeutectoid steels (carbon content from 0 to 0.83%) consist of primary
proeutectoid) ferrite (according to the curve A3) and pearlite.
Eutectoid steel (carbon content 0.83%) entirely consists of pearlite.
Hypereutectoid steels (carbon content from 0.83 to 2.06%) consist of primary
(proeutectoid) cementite (according to the curve ACM) and pearlite.
Cast irons (carbon content from 2.06% to 4.3%) consist of proeutectoid
cementite C2 ejected from austenite according to the curve ACM , pearlite and
transformed ledeburite (ledeburite in which austenite transformed to pearlite.)
PHASES OF IRON
FCC (Austenite) BCC (Ferrite) HCP (Martensite)
 Alpha
“Ferrite”, BCC Iron
Room Temperature
 Gamma
“Austenite”, FCC Iron
Elevated Temperatures
These are PHASES of iron. Adding carbon changes the
phase transformation temperature.
MICROSTRUCTURE OF AUSTENITE
MICROSTRUCTURE OF PEARLITE
Photomicrographs of (a) coarse pearlite and (b) fine pearlite. 3000X
MICROSTRUCTURE OF MARTENSITE
20
IRON-CARBON (Fe-C) PHASE DIAGRAM
(EXAMPLE 1)
2 important points
- Eutectoid (B)
g  a +Fe3C
- Eutectic (A)
L  g +Fe3C
Fe
3
C
(cementite)
1600
1400
1200
1000
800
600
400
0 1 2 3 4 5 6 6.7
L
g
(austenite)
g+L
g+Fe3C
a
+Fe3C
d
(Fe) C, wt% C
1148ºC
T(ºC)
a
727ºC = T eutectoid
4.30
Result: Pearlite =
alternating layers of
a and Fe3C phases
120 mm 0.76
B
g g
g
g
A L+Fe3C
Fe3C (cementite-hard)
a (ferrite-soft)
21
EXAMPLE 1
• An alloy of eutectoid composition (0.83 wt% C) as it is
cooled down from a temperature within the g-phase
region (e.g., at 800 ºC).
• Initially the alloy is composed entirely of the austenitic
phase having a composition of 0.83 wt% C
• As the alloy is cooled, no changes will occur until the
eutectoid temperature (727 ºC).
• Upon crossing this temperature to point B, the austenite
transforms according to:
Eutectoid (B):
g (0.83 wt% C)  a (0.025 wt% C)+ Fe3C (6.7 wt% C)
22
EXAMPLE 1 (cont.)
• The microstructure for this eutectoid steel is slowly
cooled through the eutectoid temperature consists of
alternating layers or lamellar of the two phases (a and
Fe3C) that form simultaneously during the
transformation.
• Point B is called pearlite.
• Mechanically, pearlite has properties intermediate
between the soft, ductile ferrite and the hard, brittle
cementite.
23
EXAMPLE 1 (cont.)
• The alternating a and Fe3C layers in pearlite form as
such for the same reason that the eutectic structure
forms because the composition of austenite (0.83 %wt
C) is different from either of ferrite (0.025 wt% C) and
cementite (6.70 wt% C), and the phase transformation
requires that there be a redistribution of the carbon by
diffusion.
• Subsequent cooling of the pearlite from point B will
produce relatively insignificant microstructural changes.
24
Fe
3
C
(cementite)
1600
1400
1200
1000
800
600
400
0 1 2 3 4 5 6 6.7
L
g
(austenite)
g+L
g +Fe3C
a+Fe3C
L+Fe3C
d
(Fe) C, wt% C
1148ºC
T(ºC)
a
727ºC
(Fe-C
System)
C0
0.76
Hypoeutectoid Steel (EXAMPLE 2)
Adapted from Figs. 9.24
and 9.29,Callister &
Rethwisch 8e.
(Fig. 9.24 adapted from
Binary Alloy Phase
Diagrams, 2nd ed., Vol.
1, T.B. Massalski (Ed.-in-
Chief), ASM International,
Materials Park, OH,
1990.)
Adapted from Fig. 9.30, Callister & Rethwisch 8e.
proeutectoid ferrite
pearlite
100 mm
Hypoeutectoid
steel
a
pearlite
g
g g
g
a
a
a
g
g
g g
g g
g
g
25
EXAMPLE 2 (cont.)
• Within the a + g region, most of the a particles will form
along the original g grain boundaries.
• The particles will grow larger just above the eutectoid
line. As the temperature is lowered below Te, all the g
phase will transform to pearlite according to:
• There will be virtually no change in the a phase that
existed just above the Te.
• This a that is formed above Te is called proeutectoid
(pro=pre=before eutectoid) ferrite.
g  a +Fe3C
26
EXAMPLE 2 (cont.)
• The ferrite that is present in the pearlite is called
eutectoid ferrite.
• As a result, two microconstituents are present in the
last micrograph (the one below Te): proeutectoid ferrite
and pearlite
27
Fe
3
C
(cementite)
1600
1400
1200
1000
800
600
400
0 1 2 3 4 5 6 6.7
L
g
(austenite)
g+L
g +Fe3C
a+ Fe3C
L+Fe3C
d
(Fe) C, wt% C
1148ºC
T(ºC)
a
727ºC
(Fe-C
System)
C0
0.76
EXAMPLE 2
g
g g
g
a
a
a
s
r
Wa = s/(r +s)
Wg =(1 - Wa)
R S
a
pearlite
Wpearlite = Wg
Wa’ = S/(R +S)
W =(1 – Wa’)
Fe3C
Adapted from Fig. 9.30, Callister & Rethwisch 8e.
proeutectoid ferrite
pearlite
100 mm Hypoeutectoid
steel
MICROSTRUCTURE OF HYPO-EUTECTOID
29
HYPEREUTECTOID STEEL (EXAMPLE 3)
Fe
3
C
(cementite)
1600
1400
1200
1000
800
600
400
0 1 2 3 4 5 6 6.7
L
g
(austenite)
g+L
g +Fe3C
a +Fe3C
L+Fe3C
d
(Fe) C, wt%C
1148ºC
T(ºC)
a
Adapted from Figs. 9.24
and 9.32,Callister &
Rethwisch 8e. (Fig. 9.24
adapted from Binary Alloy
Phase Diagrams, 2nd
ed., Vol. 1, T.B. Massalski
(Ed.-in-Chief), ASM
International, Materials
Park, OH, 1990.)
(Fe-C
System)
0.76
C0
Fe3C
g
g
g g
g
g
g g
g
g
g g
Adapted from Fig. 9.33, Callister & Rethwisch 8e.
proeutectoid Fe3C
60 mmHypereutectoid
steel
pearlite
pearlite
30
Fe
3
C
(cementite)
1600
1400
1200
1000
800
600
400
0 1 2 3 4 5 6 6.7
L
g
(austenite)
g+L
g +Fe3C
a +Fe3C
L+Fe3C
d
(Fe) C, wt%C
1148ºC
T(ºC)
a
EXAMPLE 3 (cont.)
(Fe-C
System)
0.76
C0
pearlite
Fe3C
g
g
g g
x
v
V X
Wpearlite = Wg
Wa = X/(V +X)
W =(1 - Wa)
Fe3C’
W =(1-Wg)
Wg =x/(v + x)
Fe3C
Adapted from Fig. 9.33, Callister & Rethwisch 8e.
proeutectoid Fe3C
60 mmHypereutectoid
steel
pearlite
Adapted from Figs. 9.24
and 9.32,Callister &
Rethwisch 8e. (Fig. 9.24
adapted from Binary Alloy
Phase Diagrams, 2nd
ed., Vol. 1, T.B. Massalski
(Ed.-in-Chief), ASM
International, Materials
Park, OH, 1990.)
MICROSTRCTURE OF HYPER-EUTECTOID
Example: Phase Equilibria
For a 99.6 wt% Fe-0.40 wt% C at a
temperature just below the eutectoid,
determine the following
a) composition of Fe3C and ferrite (a)
b) the amount of carbide (cementite) in
grams that forms per 100 g of steel
c) the amount of pearlite and proeutectoid
ferrite (a)
32
Solution:
33
g
3
.
94
g
5.7
C
Fe
g
7
.
5
100
022
.
0
7
.
6
022
.
0
4
.
0
100
x
C
Fe
C
Fe
3
C
Fe
3
3
3

a








a
+ a
a
x
C
C
C
Co
b) the amount of carbide
(cementite) in grams that
forms per 100 g of steel
a) composition of Fe3C and ferrite (a)
CO = 0.40 wt% C
Ca = 0.022 wt% C
CFe C = 6.70 wt% C
3
Fe
3
C
(cementite)
1600
1400
1200
1000
800
600
400
0 1 2 3 4 5 6 6.7
L
g
(austenite)
g+L
g + Fe3C
a+ Fe3C
L+Fe3C
d
Co, wt% C
1148°C
T(°C)
727°C
CO
R S
CFe C
3
Ca
c. the amount of pearlite and proeutectoid ferrite (a)
note: amount of pearlite = amount of g just above TE
34
Co = 0.40 wt% C
Ca = 0.022 wt% C
Cpearlite = Cg = 0.76 wt% C
g
g+ a

Co Ca
Cg Ca
x 100  51.2 g
pearlite = 51.2 g
proeutectoid a = 48.8 g
Fe
3
C
(cementite)
1600
1400
1200
1000
800
600
400
0 1 2 3 4 5 6 6.7
L
g
(austenite)
g+L
g + Fe3C
a+ Fe3C
L+Fe3C
d
Co, wt% C
1148°C
T(°C)
727°C
CO
R S
Cg
Ca
T (Time) T(Temperature) T(Transformation) diagram is a plot of
temperature versus the logarithm of time for a steel alloy of definite
composition. It is used to determine when transformations begin and
end for an isothermal (constant temperature) heat treatment of a
previously austenitized alloy. When austenite is cooled slowly to a
temperature below LCT (Lower Critical Temperature), the structure
that is formed is Pearlite. As the cooling rate increases, the pearlite
transformation temperature gets lower. The microstructure of the
material is significantly altered as the cooling rate increases. By
heating and cooling a series of samples, the history of the austenite
transformation may be recorded. TTT diagram indicates when a
specific transformation starts and ends and it also shows what
percentage of transformation of austenite at a particular temperature
is achieved.
TTT DIAGRAM
TTT DIAGRAM
AUSTENITE PEARLITE
Austenite is stable at temperatures above LCT but unstable
below LCT. Left curve indicates the start of a transformation
and right curve represents the finish of a transformation. The
area between the two curves indicates the transformation of
austenite to different types of crystal structures. (Austenite to
pearlite, austenite to martensite, austenite to bainite
transformation.) Isothermal Transform Diagram shows that γ
to transformation (a) is rapid! at speed of sound; (b) the
percentage of transformation depends on Temperature only.
AUSTENITE
As indicated when is cooled to temperatures below LCT, it transforms to other
crystal structures due to its unstable nature. A specific cooling rate may be chosen so
that the transformation of austenite can be 50 %, 100 % etc. If the cooling rate is
very slow such as annealing process, the cooling curve passes through the entire
transformation area and the end product of this the cooling process becomes 100%
Pearlite. In other words, when slow cooling is applied, all the Austenite will
transform to Pearlite. If the cooling curve passes through the middle of the
transformation area, the end product is 50 % Austenite and 50 % Pearlite, which
means that at certain cooling rates we can retain part of the Austenite, without
transforming it into Pearlite.
Upper half of TTT Diagram(Austenite-Pearlite
TransformationArea)
If a cooling rate is very high, the cooling curve will remain on the left
hand side of the Transformation Start curve. In this case all Austenite will
transform to Martensite. If there is no interruption in cooling the end
product will be martensite.
Lower half ofTTT Diagram (Austenite-Martensite and Bainite
TransformationAreas)

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L7_Fe-C_ Diagram MICRO STRUCTURE.pdf

  • 3.  δ-ferrite – Solid solution of carbon in iron. Maximum concentration of carbon in δ- ferrite is 0.09% at 2719 ºF (1493ºC) – temperature of the peritectic transformation. The crystal structure of δ-ferrite is BCC (cubic body centered). L + Fe3C 2.06 4.30 6.70 M N C P E O G F H Cementite Fe3C x x’ 0.025 0.83
  • 4.  Austenite – interstitial solid solution of carbon in γ-iron. Austenite has FCC (cubic face centered) crystal structure, permitting high solubility of carbon – up to 2.06% at 2097 ºF (1147 ºC). Austenite does not exist below 1333 ºF (727ºC) and maximum carbon concentration at this temperature is 0.83%. L + Fe3C 2.06 4.30 6.70 M N C P E O G F H Cementite Fe3C x x’ 0.025 0.83
  • 5.  α-ferrite – solid solution of carbon in α-iron. α-ferrite has BCC crystal structure and low solubility of carbon – up to 0.25% at 1333 ºF (727ºC). α-ferrite exists at room temperature. L + Fe3C 2.06 4.30 6.70 M N C P E O G F H Cementite Fe3C x x’ 0.025 0.83
  • 6.  Cementite – iron carbide, intermetallic compound, having fixed composition Fe3C. L + Fe3C 2.06 4.30 6.70 M N C P E O G F H Cementite Fe3C x x’ 0.025 0.83
  • 8. Alloys, containing up to 0.51% of carbon, start solidification with formation of crystals of δ-ferrite. Carbon content in δ-ferrite increases up to 0.09% in course solidification, and at 2719 ºF (1493ºC) remaining liquid phase and δ-ferrite perform peritectic transformation, resulting in formation of austenite.
  • 9. Alloys, containing carbon more than 0.51%, but less than 2.06%, form primary austenite crystals in the beginning of solidification and when the temperature reaches the curve ACM primary cementite stars to form. Iron-carbon alloys, containing up to 2.06% carbon, are called steels.
  • 10.  Alloys, containing from 2.06% to 6.67% of carbon, experience eutectic transformation at (1130 ºC). The eutectic concentration of carbon is 4.3%. In practice only hypoeutectic alloys are used. These alloys (carbon content from 2.06% to 4.3%) are called cast iron. When temperature of an alloy from this range reaches (1130 ºC), it contains primary austenite crystals and some amount of the liquid phase. The latter decomposes by eutectic mechanism to a fine mixture of austenite and cementite, called ledeburite.
  • 11.  All iron-carbon alloys (steels and cast irons) experience eutectoid transformation at (727ºC). The eutectoid concentration of carbon is 0.83%. When the temperature of an alloy reaches (727ºC), austenite transforms to pearlite (fine ferrite-cementite structure, forming as a result of decomposition of austenite at slow cooling conditions).
  • 12.  Upper critical temperature (point) A3 is the temperature, below which ferrite starts to form as a result of ejection from austenite in the hypoeutectoid alloys.  Upper critical temperature (point) ACM is the temperature, below which cementite starts to form as a result of ejection from austenite in the hypereutectoid alloys.  Lower critical temperature (point) A1 is the temperature of the austenite-to- pearlite eutectoid transformation. Below this temperature austenite does not exist. CRITICAL TEMPERATURE
  • 14. PHASE COMPOSITIONS OF THE IRON- CARBON ALLOYS AT ROOM TEMPERATURE Hypoeutectoid steels (carbon content from 0 to 0.83%) consist of primary proeutectoid) ferrite (according to the curve A3) and pearlite. Eutectoid steel (carbon content 0.83%) entirely consists of pearlite. Hypereutectoid steels (carbon content from 0.83 to 2.06%) consist of primary (proeutectoid) cementite (according to the curve ACM) and pearlite. Cast irons (carbon content from 2.06% to 4.3%) consist of proeutectoid cementite C2 ejected from austenite according to the curve ACM , pearlite and transformed ledeburite (ledeburite in which austenite transformed to pearlite.)
  • 15. PHASES OF IRON FCC (Austenite) BCC (Ferrite) HCP (Martensite)
  • 16.  Alpha “Ferrite”, BCC Iron Room Temperature  Gamma “Austenite”, FCC Iron Elevated Temperatures These are PHASES of iron. Adding carbon changes the phase transformation temperature.
  • 18. MICROSTRUCTURE OF PEARLITE Photomicrographs of (a) coarse pearlite and (b) fine pearlite. 3000X
  • 20. 20 IRON-CARBON (Fe-C) PHASE DIAGRAM (EXAMPLE 1) 2 important points - Eutectoid (B) g  a +Fe3C - Eutectic (A) L  g +Fe3C Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L g (austenite) g+L g+Fe3C a +Fe3C d (Fe) C, wt% C 1148ºC T(ºC) a 727ºC = T eutectoid 4.30 Result: Pearlite = alternating layers of a and Fe3C phases 120 mm 0.76 B g g g g A L+Fe3C Fe3C (cementite-hard) a (ferrite-soft)
  • 21. 21 EXAMPLE 1 • An alloy of eutectoid composition (0.83 wt% C) as it is cooled down from a temperature within the g-phase region (e.g., at 800 ºC). • Initially the alloy is composed entirely of the austenitic phase having a composition of 0.83 wt% C • As the alloy is cooled, no changes will occur until the eutectoid temperature (727 ºC). • Upon crossing this temperature to point B, the austenite transforms according to: Eutectoid (B): g (0.83 wt% C)  a (0.025 wt% C)+ Fe3C (6.7 wt% C)
  • 22. 22 EXAMPLE 1 (cont.) • The microstructure for this eutectoid steel is slowly cooled through the eutectoid temperature consists of alternating layers or lamellar of the two phases (a and Fe3C) that form simultaneously during the transformation. • Point B is called pearlite. • Mechanically, pearlite has properties intermediate between the soft, ductile ferrite and the hard, brittle cementite.
  • 23. 23 EXAMPLE 1 (cont.) • The alternating a and Fe3C layers in pearlite form as such for the same reason that the eutectic structure forms because the composition of austenite (0.83 %wt C) is different from either of ferrite (0.025 wt% C) and cementite (6.70 wt% C), and the phase transformation requires that there be a redistribution of the carbon by diffusion. • Subsequent cooling of the pearlite from point B will produce relatively insignificant microstructural changes.
  • 24. 24 Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L g (austenite) g+L g +Fe3C a+Fe3C L+Fe3C d (Fe) C, wt% C 1148ºC T(ºC) a 727ºC (Fe-C System) C0 0.76 Hypoeutectoid Steel (EXAMPLE 2) Adapted from Figs. 9.24 and 9.29,Callister & Rethwisch 8e. (Fig. 9.24 adapted from Binary Alloy Phase Diagrams, 2nd ed., Vol. 1, T.B. Massalski (Ed.-in- Chief), ASM International, Materials Park, OH, 1990.) Adapted from Fig. 9.30, Callister & Rethwisch 8e. proeutectoid ferrite pearlite 100 mm Hypoeutectoid steel a pearlite g g g g a a a g g g g g g g g
  • 25. 25 EXAMPLE 2 (cont.) • Within the a + g region, most of the a particles will form along the original g grain boundaries. • The particles will grow larger just above the eutectoid line. As the temperature is lowered below Te, all the g phase will transform to pearlite according to: • There will be virtually no change in the a phase that existed just above the Te. • This a that is formed above Te is called proeutectoid (pro=pre=before eutectoid) ferrite. g  a +Fe3C
  • 26. 26 EXAMPLE 2 (cont.) • The ferrite that is present in the pearlite is called eutectoid ferrite. • As a result, two microconstituents are present in the last micrograph (the one below Te): proeutectoid ferrite and pearlite
  • 27. 27 Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L g (austenite) g+L g +Fe3C a+ Fe3C L+Fe3C d (Fe) C, wt% C 1148ºC T(ºC) a 727ºC (Fe-C System) C0 0.76 EXAMPLE 2 g g g g a a a s r Wa = s/(r +s) Wg =(1 - Wa) R S a pearlite Wpearlite = Wg Wa’ = S/(R +S) W =(1 – Wa’) Fe3C Adapted from Fig. 9.30, Callister & Rethwisch 8e. proeutectoid ferrite pearlite 100 mm Hypoeutectoid steel
  • 29. 29 HYPEREUTECTOID STEEL (EXAMPLE 3) Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L g (austenite) g+L g +Fe3C a +Fe3C L+Fe3C d (Fe) C, wt%C 1148ºC T(ºC) a Adapted from Figs. 9.24 and 9.32,Callister & Rethwisch 8e. (Fig. 9.24 adapted from Binary Alloy Phase Diagrams, 2nd ed., Vol. 1, T.B. Massalski (Ed.-in-Chief), ASM International, Materials Park, OH, 1990.) (Fe-C System) 0.76 C0 Fe3C g g g g g g g g g g g g Adapted from Fig. 9.33, Callister & Rethwisch 8e. proeutectoid Fe3C 60 mmHypereutectoid steel pearlite pearlite
  • 30. 30 Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L g (austenite) g+L g +Fe3C a +Fe3C L+Fe3C d (Fe) C, wt%C 1148ºC T(ºC) a EXAMPLE 3 (cont.) (Fe-C System) 0.76 C0 pearlite Fe3C g g g g x v V X Wpearlite = Wg Wa = X/(V +X) W =(1 - Wa) Fe3C’ W =(1-Wg) Wg =x/(v + x) Fe3C Adapted from Fig. 9.33, Callister & Rethwisch 8e. proeutectoid Fe3C 60 mmHypereutectoid steel pearlite Adapted from Figs. 9.24 and 9.32,Callister & Rethwisch 8e. (Fig. 9.24 adapted from Binary Alloy Phase Diagrams, 2nd ed., Vol. 1, T.B. Massalski (Ed.-in-Chief), ASM International, Materials Park, OH, 1990.)
  • 32. Example: Phase Equilibria For a 99.6 wt% Fe-0.40 wt% C at a temperature just below the eutectoid, determine the following a) composition of Fe3C and ferrite (a) b) the amount of carbide (cementite) in grams that forms per 100 g of steel c) the amount of pearlite and proeutectoid ferrite (a) 32
  • 33. Solution: 33 g 3 . 94 g 5.7 C Fe g 7 . 5 100 022 . 0 7 . 6 022 . 0 4 . 0 100 x C Fe C Fe 3 C Fe 3 3 3  a         a + a a x C C C Co b) the amount of carbide (cementite) in grams that forms per 100 g of steel a) composition of Fe3C and ferrite (a) CO = 0.40 wt% C Ca = 0.022 wt% C CFe C = 6.70 wt% C 3 Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L g (austenite) g+L g + Fe3C a+ Fe3C L+Fe3C d Co, wt% C 1148°C T(°C) 727°C CO R S CFe C 3 Ca
  • 34. c. the amount of pearlite and proeutectoid ferrite (a) note: amount of pearlite = amount of g just above TE 34 Co = 0.40 wt% C Ca = 0.022 wt% C Cpearlite = Cg = 0.76 wt% C g g+ a  Co Ca Cg Ca x 100  51.2 g pearlite = 51.2 g proeutectoid a = 48.8 g Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L g (austenite) g+L g + Fe3C a+ Fe3C L+Fe3C d Co, wt% C 1148°C T(°C) 727°C CO R S Cg Ca
  • 35. T (Time) T(Temperature) T(Transformation) diagram is a plot of temperature versus the logarithm of time for a steel alloy of definite composition. It is used to determine when transformations begin and end for an isothermal (constant temperature) heat treatment of a previously austenitized alloy. When austenite is cooled slowly to a temperature below LCT (Lower Critical Temperature), the structure that is formed is Pearlite. As the cooling rate increases, the pearlite transformation temperature gets lower. The microstructure of the material is significantly altered as the cooling rate increases. By heating and cooling a series of samples, the history of the austenite transformation may be recorded. TTT diagram indicates when a specific transformation starts and ends and it also shows what percentage of transformation of austenite at a particular temperature is achieved. TTT DIAGRAM
  • 38. Austenite is stable at temperatures above LCT but unstable below LCT. Left curve indicates the start of a transformation and right curve represents the finish of a transformation. The area between the two curves indicates the transformation of austenite to different types of crystal structures. (Austenite to pearlite, austenite to martensite, austenite to bainite transformation.) Isothermal Transform Diagram shows that γ to transformation (a) is rapid! at speed of sound; (b) the percentage of transformation depends on Temperature only. AUSTENITE
  • 39.
  • 40. As indicated when is cooled to temperatures below LCT, it transforms to other crystal structures due to its unstable nature. A specific cooling rate may be chosen so that the transformation of austenite can be 50 %, 100 % etc. If the cooling rate is very slow such as annealing process, the cooling curve passes through the entire transformation area and the end product of this the cooling process becomes 100% Pearlite. In other words, when slow cooling is applied, all the Austenite will transform to Pearlite. If the cooling curve passes through the middle of the transformation area, the end product is 50 % Austenite and 50 % Pearlite, which means that at certain cooling rates we can retain part of the Austenite, without transforming it into Pearlite. Upper half of TTT Diagram(Austenite-Pearlite TransformationArea)
  • 41. If a cooling rate is very high, the cooling curve will remain on the left hand side of the Transformation Start curve. In this case all Austenite will transform to Martensite. If there is no interruption in cooling the end product will be martensite. Lower half ofTTT Diagram (Austenite-Martensite and Bainite TransformationAreas)