10000 7270 Temperature( C) The TTT diagram for a eutectoid Fe-C alloy Y (stable) TN γ' (metastable) Ms -0% ME 50%' 10-1 25% 75% a+Fe3C 0% Bainite 50% 100% Eutectoid temperature 100%- a' + + + 1 101 102 103 104 time (s)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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By using the time-temperature-transformation (TTT) diagram for a steel of eutectoid 
composition (Fe-C alloy with 0.77 wt% carbon) given below, answer the following questions: 
Sketch the cooling path(s) on the TTT diagram provided below in answering each question and 
label them clearly.

a) What is meant by the so-called critical cooling rate (CCR)? What happens if this 
eutectoid steel is quenched from 1000 oC at a cooling rate that is faster than the critical cooling 
rate? Trace the cooling path on the diagram. What is the crystal structure before and after the 
quenching?

b) What are the effects of alloying elements on the position of the boundaries on a 
TTT diagram? What are the engineering implications of such effects on the boundaries on a TTT 
diagram? Concisely elaborate on your answer. 

c) A steel that is comprised of 25% Pearlite, 37.5% Bainite and 37.5% Martensite is 
needed for a special application. Design a heat treatment by which such a steel microstructure and 
be created. Sketch your heat treatment protocol on the TTT diagram provided herein. 

d) What do the temperatures Ms and Mf designate on the TTT diagram? What 
happens when a eutectoid steel is first quenched to Ms > T > Mf at a rate faster than the CCR, and 
then isothermally held for a very long time (t>104 sec), followed by quenching to room 
temperature? What phases are present at room temperature? 

e) What is the resultant phase or phases present in a eutectoid steel after the 
following heat treatment cycle: First quenched to Ms>T>MF at a cooling rate faster than the critical 
cooling rate and held for t > 104 sec, followed by reheating to T > 727 oC and held for a long time, 
and then quenched to Ms < T < TN at a rate faster than the CCR, and held for t > 104 seconds and 
then quench to room temperature. 

10000
7270
Temperature( C)
The TTT diagram for a eutectoid Fe-C alloy
Y (stable)
TN
γ'
(metastable)
Ms -0%
ME
50%'
10-1
25%
75%
a+Fe3C
0%
Bainite
50%
100%
Eutectoid
temperature
100%-
a'
+
+
+
1
101
102
103
104
time (s)
Transcribed Image Text:10000 7270 Temperature( C) The TTT diagram for a eutectoid Fe-C alloy Y (stable) TN γ' (metastable) Ms -0% ME 50%' 10-1 25% 75% a+Fe3C 0% Bainite 50% 100% Eutectoid temperature 100%- a' + + + 1 101 102 103 104 time (s)
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