Muddiest Points Phase Diagrams IV: Fe-‐Fe3C Phase Diagram Calcula;ons
Muddiest Points: • “In a two phase region how can composi;on be determined by looking to either side of the two-‐phase region?”
• “Where do you get the numbers from on the phase diagram to do the calcula;on?”
• “I'm s;ll a liGle unclear on how to calculate the frac;on of each phase”
• “I don’t know what 1020, 1060, or 10100 steel means.”
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Fe-‐Fe3C Phase Diagram Eutectoid Reac;on-‐ Steel Review
α γ Fe3C Ferrite Austenite Cemen-te
Alpha Iron Gamma Iron Iron Carbide
BCC Iron FCC Iron Carbide
BCC Iron with inters--al solid solu-on of C up to 0.022 wt% carbon
FCC iron with Inters--al solid solu-on of C up to 2.14 wt. % C
A hard and briAle stoichiometric (fixed composi-on) compound, Fe3C. It has an orthorhombic crystal structure.
For 1030 steel at 1000°C 1) Phases present:
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
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Given 1) 1000°C 2) 1030 Steel
Co
X
Cγ
Wγ
Co
0.3%
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For 1030 steel at 850°C 1) Phases present:
Co Cα Cγ
Wα= Q P+Q
Cγ-‐Co Cγ-‐Cα
Wγ= P P+Q
Co-‐Cα Cγ-‐Cα
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
6.67
Given 1) 850°C 2) 1030 Steel
1 0 Co Composi;on-‐ Wt% C
1000
800
600
400
Tempe
rature 850
α
α +Fe3C
Fe3C +γ
Cα Cγ
Q P
0.3%
X
Fe3C
727°C
0.45% 0.01%
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For 1030 steel at 728°C 1) Phases present:
Co Cα Cγ
Wα= R S+R
Cγ-‐Co Cγ-‐Cα
Wγ= S S+R
Co-‐Cα Cγ-‐Cα
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
6.67
Given 1) 728°C 2) 1030 Steel
1 0 Co Composi;on-‐ Wt% C
1000
800
600
400
Tempe
rature
α
α +Fe3C
Fe3C +γ
Cα Cγ
R S
0.3%
X
0.022 %
0.76%
Fe3C
727°C
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γ
For 1030 steel at 726°C 1) Phases present:
Co Cα CFe3c
Wα= U T+U
CFe3c-‐Co CFe3c-‐Cα
WFe3= T
T+U Co-‐Cα CFe3c-‐Cα
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
6.67
Given 1) 726°C 2) 1030 Steel
1 0 Co Composi;on-‐ Wt% C
1000
800
600
400
Tempe
rature
γ
α
α +Fe3C
Fe3C +γ
Cα CFe3C
U T
0.3%
Fe3C
X0.022% 727°C
0.022 %
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For 1076 steel at 728°C 1) Phases present:
Co
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
6.67
Given 1) 728°C 2) 1076 Steel
1 0 Co
Composi;on-‐ Wt% C
1000
800
600
400
Tempe
rature
α
α +Fe3C
Fe3C +γ
0.76%
Fe3C
XCγ
Wγ
727°C
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γ
For 1076 steel at 726°C 1) Phases present:
Co Cα CFe3c
Wα= U T+U
CFe3c-‐Co CFe3c-‐Cα
WFe3= T
T+U Co-‐Cα CFe3c-‐Cα
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
6.67
Given 1) 726°C 2) 1076 Steel
1 0 Co Composi;on-‐ Wt% C
1000
800
600
400
Tempe
rature
γ
α
α +Fe3C
Fe3C +γ
Cα CFe3C
U T
0.76%
Fe3C
X0.022%
727°C
0.022%
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For 10100 steel at 728°C 1) Phases present:
Co
CFe3c
V W+V
CFe3c-‐Co CFe3c-‐Cγ
WFe3c= W W+V
Co-‐Cγ CFe3c-‐Cγ
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
6.67
Given 1) 78°C 2) 10100 Steel
1 0 Co
Composi;on-‐ Wt% C
1000
800
600
400
Tempe
rature
γ
α
α +Fe3C
Fe3C +γ
CFe3C
V W
1%
Fe3C
X
0.022%
727°C Cγ
Wγ =
Cγ 0.76%
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For 10100 steel at 726°C 1) Phases present:
Co Cα CFe3c
Wα= Y Z+Y
CFe3c-‐Co CFe3c-‐Cα
WFe3= Z Z+Y
Co-‐Cα CFe3c-‐Cα
Phase Calcula;ons
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
6.67
Given 1) 726°C 2) 10100 Steel
1 0 Co 1% Composi;on-‐ Wt% C
1000
800
600
400
Tempe
rature
γ
α
α +Fe3C
Fe3C +γ
Cα CFe3C
Y Z
Fe3C
X0.022%
727°C
0.022%
Muddiest Points Phase Diagrams IV: Fe-‐Fe3C Phase Diagram Calcula;ons
Muddiest Points: • “In a two phase region how can composi;on be determined by looking to either side of the two-‐phase region?”
• “Where do you get the numbers from on the phase diagram to do the calcula;on?”
• “I'm s;ll a liGle unclear on how to calculate the frac;on of each phase”
• “I don’t know what 1020, 1060, or 10100 steel means.”