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MSEASUSlides: Muddiest Point: Phase Diagrams IV Fe-Fe3C Calculations Sli…
- 1. 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.”
- 2. !""# $""# %""# &"""# "# &# '# (# />8?>35@>A. 9-8?-72CE7-# &&!+#F/# IK#LE3C-A5C-# M#J#,- #$%&$'()*+%,&-'./*01%.*,*2(.34%*2'4()*51,2 75C-# !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*()+,"-./0)"12/34/5"678)98:2;"<)/9=:>*"?8))@" +,#$,-./,01)2'3)4)+) +5('"6',.7) ABC)4)78)98:2;",:5C&"ABC:)78)98:2;",:5C&" %&DE" !$"()+," #"$"()+," D'D"F," 8389) ()+," 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.
- 3. 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: !""# $""# %""# &"""# &'""# "# &# '# (# />8?>3 9-8?-72CE7-#F &&!+#F "*+$# "*"''# IK#LE3C-A5C-# #M#J#I### M "#$%&$'()*+%,&-'./*01%.*,*2(.34%*2'4()* MK#,-775C-# !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/01/(1023-4)" +,#$,-./,01)2'3)4)+) %&56" !$",78/" #"$",78/" 5'5"9/" 5356) ,78/" Given 1) 1000°C 2) 1030 Steel Co X Cγ Wγ Co 0.3%
- 4. !""# $""# %""# &"""# &'""# "# &# 9-8?-72CE7-#F IK#LE3C-A5C- %&$'()*+%,&-'./*01 !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/ +,#$,-./ %&56" # γ 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 Temperature 850 α α +Fe3C Fe3C +γ Cα Cγ Q P 0.3% X Fe3C 727°C 0.45% 0.01%
- 5. !""# $""# %""# &"""# &'""# "# &# 9-8?-72CE7-#F IK#LE3C-A5C- %&$'()*+%,&-'./*01 !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/ +,#$,-./ %&56" # γ 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 Temperature α α +Fe3C Fe3C +γ Cα Cγ R S 0.3% X 0.022 % 0.76% Fe3C 727°C
- 6. !""# $""# %""# &"""# &'""# "# &# 9-8?-72CE7-#F IK#LE3C-A5C- %&$'()*+%,&-'./*01 !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/ +,#$,-./ %&56" # 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 Temperature γ α α +Fe3C Fe3C +γ Cα CFe3C U T 0.3% Fe3C X0.022% 727°C 0.022 %
- 7. !""# $""# %""# &"""# &'""# "# &# 9-8?-72CE7-#F IK#LE3C-A5C- %&$'()*+%,&-'./*01 !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/ +,#$,-./ %&56" # γ 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 Temperature α α +Fe3C Fe3C +γ 0.76% Fe3C X Cγ Wγ 727°C
- 8. !""# $""# %""# &"""# &'""# "# &# 9-8?-72CE7-#F IK#LE3C-A5C- %&$'()*+%,&-'./*01 !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/ +,#$,-./ %&56" # 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 Temperature γ α α +Fe3C Fe3C +γ Cα CFe3C U T 0.76% Fe3C X0.022% 727°C 0.022%
- 9. !""# $""# %""# &"""# &'""# "# &# 9-8?-72CE7-#F IK#LE3C-A5C- %&$'()*+%,&-'./*01 !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/ +,#$,-./ %&56" # γ 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 Temperature γ α α +Fe3C Fe3C +γ CFe3C V W 1% Fe3C X 0.022% 727°C Cγ Wγ = Cγ 0.76%
- 10. !""# $""# %""# &"""# &'""# "# &# 9-8?-72CE7-#F IK#LE3C-A5C- %&$'()*+%,&-'./*01 !" "#"$"!""" "#" %&%''" !"#$"%&'(%")*+)) ()*+",-."/ +,#$,-./ %&56" # γ 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 Temperature γ α α +Fe3C Fe3C +γ Cα CFe3C Y Z Fe3C X0.022% 727°C 0.022%
- 11. 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.”