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Project2: AusteniteDecompositionintoSteel
Task 2: ContinuousCoolingTransformation
Part A:
DQSK * CCT
TESTS
Heating rate : 5 C/sec
Austenitizing : 2 min. at 1100 C
Air Cooling
30 sec. at 900 C
Cooling rate : 1.014337 C/sec
(at 880 C)
I plotthe curve of dilationvstemperature.Thiscurve isdividedintothreeregionswhichare the ferrite
region,transformationregionandausteniteregion.
0.022
0.024
0.026
0.028
0.03
0.032
0.034
700 800 900 1000 1100 1200
Dilation
Temperature/K
Dilation vs Temperature
Dilat.
Thisdilationgivesalinearplotwhere we canobtainthe d(alpha) foreverysingle temperature and
d(gamma) foreverysingle temperature.Frombothvalues,we canplotthe fractionsolidifiedwiththeir
respective d(ferrite)andd(austenite).
Temperature Dilation
D
(ferrite) D (austenite)
1084.157227 0.026733 0.032366 0.022607861
1084.157227 0.026733 0.032366 0.022607861
1082.936523 0.026733 0.032317 0.022546826
1079.884766 0.026733 0.032195 0.022394238
1077.443359 0.027222 0.032098 0.022272168
1075.001953 0.027344 0.032 0.022150098
1073.78125 0.027344 0.031951 0.022089063
1073.170898 0.027588 0.031927 0.022058545
y = 4E-05x - 0.011
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
750 800 850 900 950 1000 1050
Dilation
Temperature
Dilation vs Temperature (Ferrite)
Series1
Linear (Series1)
y = 5E-05x - 0.0319
0.025
0.026
0.027
0.028
0.029
0.03
0.031
0.032
1080 1100 1120 1140 1160 1180
Dilation
Temperature
Dilation vs Temperature (Austenite)
Dilation Gamma
Linear (Dilation Gamma)
1070.729492 0.02771 0.031829 0.021936475
1070.119141 0.028076 0.031805 0.021905957
1067.067383 0.02832 0.031683 0.021753369
1067.067383 0.028687 0.031683 0.021753369
1064.625977 0.028809 0.031585 0.021631299
1064.015625 0.029175 0.031561 0.021600781
1062.18457 0.029541 0.031487 0.021509229
1059.743164 0.029785 0.03139 0.021387158
1059.743164 0.029907 0.03139 0.021387158
1056.691406 0.030273 0.031268 0.02123457
1056.081055 0.030396 0.031243 0.021204053
1055.470703 0.03064 0.031219 0.021173535
1053.029297 0.030762 0.031121 0.021051465
1051.198242 0.031006 0.031048 0.020959912
Part B
The temperature where transformationstart =1084 K
Temperature where 50%transformed: 1077.44 K
Temperature where 95%transformed=1053 K
Temperature X
1084.1572 0.422767
1084.1572 0.422767
1082.9365 0.428485
1079.8848 0.44272
1077.4434 0.503738
1075.002 0.527275
1073.7813 0.532812
0
0.2
0.4
0.6
0.8
1
1.2
1040 1050 1060 1070 1080 1090
FractionTransformed
Temperature/K
Fraction Transformed(Experiment) vs Temperature
X
1073.1709 0.560314
1070.7295 0.58361
1070.1191 0.623329
1067.0674 0.661368
1067.0674 0.69825
1064.626 0.721065
1064.0156 0.760457
1062.1846 0.804938
1059.7432 0.839585
1059.7432 0.851788
1056.6914 0.900906
1056.0811 0.915558
1055.4707 0.942343
1053.0293 0.964304
1051.1982 0.99583
Part C, D and E
Temperature X d X / dt Z ln b Temperature
1084.1572 0.422767 0 0 #NUM! 1084.157227
1084.1572 0.422767 0.003807 0.006856
-
4.48436 1084.157227
1082.9365 0.428485 0.009476 0.017271
-
3.65287 1082.936523
1079.8848 0.44272 0.02031 0.038149
-
2.93962 1079.884766
1077.4434 0.503738 0.015668 0.033721
-
3.05066 1077.443359
1075.002 0.527275 0.003685 0.008389
-
4.30278 1075.001953
1073.7813 0.532812 0.018308 0.042241
-
2.84793 1073.78125
1073.1709 0.560314 0.015508 0.038343
-
2.93506 1073.170898
1070.7295 0.58361 0.02644 0.069525
-
2.39947 1070.729492
1070.1191 0.623329 0.025322 0.074498
-
2.33728 1070.119141
1067.0674 0.661368 0.024552 0.081274
-
2.25894 1067.067383
1067.0674 0.69825 0.015188 0.057059
-
2.57731 1067.067383
1064.626 0.721065 0.026223 0.10733
-
2.00866 1064.625977
1064.0156 0.760457 0.02961 0.142904
-
1.75102 1064.015625
1062.1846 0.804938 0.023064 0.138748
-
1.77759 1062.18457
1059.7432 0.839585 0.008124 0.060178 -2.5294 1059.743164
1059.7432 0.851788 0.032697 0.263383
-
1.20073 1059.743164
1056.6914 0.900906 0.009753 0.120033 - 1056.691406
1.90799
1056.0811 0.915558 0.017831 0.259439
-
1.21431 1056.081055
1055.4707 0.942343 0.014619 0.316526
-
1.03531 1055.470703
1053.0293 0.964304 0.020987 0.746728
-
0.26285 1053.029297
1051.1982 0.99583 -0.33146 -106.685 #NUM! 1051.198242
ln
b(calc) b(calc) Dx/Dt X
-
4.01572 0.01803 0.006408 0.432392
-
4.01572 0.01803 0.006408 0.432392
-
3.89365 0.020371 0.007251 0.439378
-
3.58848 0.02764 0.009876 0.457556
-
3.34434 0.035284 0.011306 0.537706
-3.1002 0.04504 0.014021 0.548338
-
2.97813 0.050888 0.015842 0.55661
-
2.91709 0.054091 0.015821 0.58408
-
2.67295 0.069048 0.019512 0.612921
-
2.61191 0.073394 0.018663 0.651364
-
2.30674 0.099586 0.023282 0.696342
y = -0.1x + 104.44
-5
-4.5
-4
-3.5
-3
-2.5
-2
-1.5
-1
-0.5
0
1050 1060 1070 1080 1090
ln(b)
Temperature/K
ln (b) vs Temperature
Series1
Linear (Series1)
-
2.30674 0.099586 0.020514 0.729066
-2.0626 0.127123 0.024697 0.758165
-
2.00156 0.135124 0.022415 0.794129
-
1.81846 0.162276 0.02204 0.838046
-
1.57432 0.207149 0.023477 0.874852
-
1.57432 0.207149 0.021589 0.88422
-
1.26914 0.281073 0.019835 0.930702
-
1.20811 0.298763 0.017954 0.942529
-
1.14707 0.317566 0.012912 0.961739
-
0.90293 0.40538 0.010306 0.979785
-
0.71982 0.486838 0.001396 0.997927
Qualityof the fit:
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
1050 1060 1070 1080 1090
FractionTransformed
Temperature/K
Fraction Transformed (X) vs Temperature
Experimental Data
Model Data

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Project 2

  • 1. Project2: AusteniteDecompositionintoSteel Task 2: ContinuousCoolingTransformation Part A: DQSK * CCT TESTS Heating rate : 5 C/sec Austenitizing : 2 min. at 1100 C Air Cooling 30 sec. at 900 C Cooling rate : 1.014337 C/sec (at 880 C) I plotthe curve of dilationvstemperature.Thiscurve isdividedintothreeregionswhichare the ferrite region,transformationregionandausteniteregion. 0.022 0.024 0.026 0.028 0.03 0.032 0.034 700 800 900 1000 1100 1200 Dilation Temperature/K Dilation vs Temperature Dilat.
  • 2. Thisdilationgivesalinearplotwhere we canobtainthe d(alpha) foreverysingle temperature and d(gamma) foreverysingle temperature.Frombothvalues,we canplotthe fractionsolidifiedwiththeir respective d(ferrite)andd(austenite). Temperature Dilation D (ferrite) D (austenite) 1084.157227 0.026733 0.032366 0.022607861 1084.157227 0.026733 0.032366 0.022607861 1082.936523 0.026733 0.032317 0.022546826 1079.884766 0.026733 0.032195 0.022394238 1077.443359 0.027222 0.032098 0.022272168 1075.001953 0.027344 0.032 0.022150098 1073.78125 0.027344 0.031951 0.022089063 1073.170898 0.027588 0.031927 0.022058545 y = 4E-05x - 0.011 0.022 0.024 0.026 0.028 0.03 0.032 0.034 0.036 750 800 850 900 950 1000 1050 Dilation Temperature Dilation vs Temperature (Ferrite) Series1 Linear (Series1) y = 5E-05x - 0.0319 0.025 0.026 0.027 0.028 0.029 0.03 0.031 0.032 1080 1100 1120 1140 1160 1180 Dilation Temperature Dilation vs Temperature (Austenite) Dilation Gamma Linear (Dilation Gamma)
  • 3. 1070.729492 0.02771 0.031829 0.021936475 1070.119141 0.028076 0.031805 0.021905957 1067.067383 0.02832 0.031683 0.021753369 1067.067383 0.028687 0.031683 0.021753369 1064.625977 0.028809 0.031585 0.021631299 1064.015625 0.029175 0.031561 0.021600781 1062.18457 0.029541 0.031487 0.021509229 1059.743164 0.029785 0.03139 0.021387158 1059.743164 0.029907 0.03139 0.021387158 1056.691406 0.030273 0.031268 0.02123457 1056.081055 0.030396 0.031243 0.021204053 1055.470703 0.03064 0.031219 0.021173535 1053.029297 0.030762 0.031121 0.021051465 1051.198242 0.031006 0.031048 0.020959912 Part B The temperature where transformationstart =1084 K Temperature where 50%transformed: 1077.44 K Temperature where 95%transformed=1053 K Temperature X 1084.1572 0.422767 1084.1572 0.422767 1082.9365 0.428485 1079.8848 0.44272 1077.4434 0.503738 1075.002 0.527275 1073.7813 0.532812 0 0.2 0.4 0.6 0.8 1 1.2 1040 1050 1060 1070 1080 1090 FractionTransformed Temperature/K Fraction Transformed(Experiment) vs Temperature X
  • 4. 1073.1709 0.560314 1070.7295 0.58361 1070.1191 0.623329 1067.0674 0.661368 1067.0674 0.69825 1064.626 0.721065 1064.0156 0.760457 1062.1846 0.804938 1059.7432 0.839585 1059.7432 0.851788 1056.6914 0.900906 1056.0811 0.915558 1055.4707 0.942343 1053.0293 0.964304 1051.1982 0.99583 Part C, D and E Temperature X d X / dt Z ln b Temperature 1084.1572 0.422767 0 0 #NUM! 1084.157227 1084.1572 0.422767 0.003807 0.006856 - 4.48436 1084.157227 1082.9365 0.428485 0.009476 0.017271 - 3.65287 1082.936523 1079.8848 0.44272 0.02031 0.038149 - 2.93962 1079.884766 1077.4434 0.503738 0.015668 0.033721 - 3.05066 1077.443359 1075.002 0.527275 0.003685 0.008389 - 4.30278 1075.001953 1073.7813 0.532812 0.018308 0.042241 - 2.84793 1073.78125 1073.1709 0.560314 0.015508 0.038343 - 2.93506 1073.170898 1070.7295 0.58361 0.02644 0.069525 - 2.39947 1070.729492 1070.1191 0.623329 0.025322 0.074498 - 2.33728 1070.119141 1067.0674 0.661368 0.024552 0.081274 - 2.25894 1067.067383 1067.0674 0.69825 0.015188 0.057059 - 2.57731 1067.067383 1064.626 0.721065 0.026223 0.10733 - 2.00866 1064.625977 1064.0156 0.760457 0.02961 0.142904 - 1.75102 1064.015625 1062.1846 0.804938 0.023064 0.138748 - 1.77759 1062.18457 1059.7432 0.839585 0.008124 0.060178 -2.5294 1059.743164 1059.7432 0.851788 0.032697 0.263383 - 1.20073 1059.743164 1056.6914 0.900906 0.009753 0.120033 - 1056.691406
  • 5. 1.90799 1056.0811 0.915558 0.017831 0.259439 - 1.21431 1056.081055 1055.4707 0.942343 0.014619 0.316526 - 1.03531 1055.470703 1053.0293 0.964304 0.020987 0.746728 - 0.26285 1053.029297 1051.1982 0.99583 -0.33146 -106.685 #NUM! 1051.198242 ln b(calc) b(calc) Dx/Dt X - 4.01572 0.01803 0.006408 0.432392 - 4.01572 0.01803 0.006408 0.432392 - 3.89365 0.020371 0.007251 0.439378 - 3.58848 0.02764 0.009876 0.457556 - 3.34434 0.035284 0.011306 0.537706 -3.1002 0.04504 0.014021 0.548338 - 2.97813 0.050888 0.015842 0.55661 - 2.91709 0.054091 0.015821 0.58408 - 2.67295 0.069048 0.019512 0.612921 - 2.61191 0.073394 0.018663 0.651364 - 2.30674 0.099586 0.023282 0.696342 y = -0.1x + 104.44 -5 -4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 1050 1060 1070 1080 1090 ln(b) Temperature/K ln (b) vs Temperature Series1 Linear (Series1)
  • 6. - 2.30674 0.099586 0.020514 0.729066 -2.0626 0.127123 0.024697 0.758165 - 2.00156 0.135124 0.022415 0.794129 - 1.81846 0.162276 0.02204 0.838046 - 1.57432 0.207149 0.023477 0.874852 - 1.57432 0.207149 0.021589 0.88422 - 1.26914 0.281073 0.019835 0.930702 - 1.20811 0.298763 0.017954 0.942529 - 1.14707 0.317566 0.012912 0.961739 - 0.90293 0.40538 0.010306 0.979785 - 0.71982 0.486838 0.001396 0.997927 Qualityof the fit: 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1050 1060 1070 1080 1090 FractionTransformed Temperature/K Fraction Transformed (X) vs Temperature Experimental Data Model Data