20 Pages

Week8

Course: MATE 271, Fall 2009
School: Iowa State
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Heat Kinetics Treatment Week8 Material Sciences and Engineering MatE271 1 Baking Temp. g-Fe (FCC) austenite a a+g a-Fe (BCC) ferrite Fe Alloying L g+L g g+b b+L eutectic b eutectoid a+b (pearlite) Composition wt% C - Ingredient - Baking temperature - Baking time Time-dependent phase transformation Material Sciences and Engineering MatE271 - Composition (wt%) - Equilibrium diagram - Cooling time (kinetics)...

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Heat Kinetics Treatment Week8 Material Sciences and Engineering MatE271 1 Baking Temp. g-Fe (FCC) austenite a a+g a-Fe (BCC) ferrite Fe Alloying L g+L g g+b b+L eutectic b eutectoid a+b (pearlite) Composition wt% C - Ingredient - Baking temperature - Baking time Time-dependent phase transformation Material Sciences and Engineering MatE271 - Composition (wt%) - Equilibrium diagram - Cooling time (kinetics) b: Fe3C (cementite) b: C Week 8 rapid cooling slow cooling 2 aterial Sciences and Engineering, Goals for this unit (Ch. 10) Understanding how temperature and cooling can be used to alter properties (e.g. Fe-C system). - The TTT-diagram (Ch. 10.1-2) - Applications: (Ch. 10.3-5) - Hardening (Steel alloys) - Precipitate hardening (Aluminum alloys) - Annealing (recrystallization and grain growth) Material Sciences and Engineering MatE271 Week 8 3 Nonequilibrium Cooling - All previous discussion has been for slow cooling - Many times, this is TOO slow, and unnecessary - Nonequilibrium effects - Phase changes at T other than predicted - The existence of nonequilibrium phases at room temperature Material Sciences and Engineering MatE271 Week 8 4 aterial Sciences and Engineering, 10.1 Time, the third dimension - Phase diagrams only represent what should happen in equilibrium (e.g. slow cooling) - Most materials are not processed under such conditions - - Time - temperature history required to generate a certain microstructure - Time - temperature - transformation (TTT) diagrams Material Sciences and Engineering MatE271 Week 8 5 Time effect at 100% of A Melting Temp. (Pure A) Liquid Temperature Temperature Liquidus A + Liquid Eutectic Line A+B (both solids) Time A Liquid + B Melting Temp. (Pure B) Invariant Point B Composition, %B You have to drop Temp slightly to start solidification Material Sciences and Engineering MatE271 Week 8 6 aterial Sciences and Engineering, Transformation - Most transformations do not take place instantaneously e.g. to change crystal structures, atoms must diffuse Which takes time Energy is required to form phase boundaries between parent and product phases Net energy change Liquid Surface energy +ve Net energy rc volume energy -ve Week 8 solid Material Sciences and Engineering Nucleation and growth MatE271 7 Transformation by Nucleation and Growth Nucleation The formation of very small particles of the new phase Often begins at imperfection sites especially grain boundaries Growth The nuclei increase in size Some or all of the parent phase disappears Complete when system reaches equilibrium Material Sciences and Engineering MatE271 Week 8 8 aterial Sciences and Engineering, 10.2 The TTT Diagram at 100% of A Melting Temp. (Pure A) Liquid Temperature Melting Temp. (Pure B) 1 50 100 % completion of reaction Temperature Liquidus A + Liquid Eutectic Line A+B (both solids) Liquid + B Invariant Point B Time A Composition, %B Time required for reaction completion Material Sciences and Engineering MatE271 Week 8 9 at 100% of A Rate of Transformation -The fraction of reaction that has occurred is measured as a function of time - Usually at a constant T - Progress is usually determined by microscopy or other physical property - Data is plotted as fraction transformed vs. log time Time Temperature 1 50 100 % completion of reaction Material Sciences and Engineering MatE271 Week 8 10 aterial Sciences and Engineering, Phase Transformation: when? Phase transformations occur when either Temperature is most common method to induce phase transformations Phase boundaries are crossed during heating or cooling Material Sciences and Engineering MatE271 Week 8 11 Phase Diagram vs. TTT Diagram When a phase boundary is crossed, the alloy proceeds towards equilibrium according to the phase diagram Most phase transformations require a finite time Phase diagrams cannot indicate how long it takes to achieve equilibrium Many times the preferred microstructure is metastable The required transformation time is obtained from the TTT-Diagram Material Sciences and Engineering MatE271 Week 8 12 aterial Sciences and Engineering, Phase Transformation Metallic Materials are extremely versatile - They possess a wide range of mechanical properties Microstructure development occurs by phase transformations - Diffusional Transformation: - Diffusionless Transformation Properties can be tailored by changing microstructure Material Sciences and Engineering MatE271 Week 8 13 Diffusional Transformation spheroidite a-Fe (BCC) ferrite a+g a g-Fe (FCC) austenite g g+b g coarse pearlite fine pearlite upper bainite eutectoid a+b ( 0.77% C ) g+ a+ Fe a+Fe3C lower bainite 3C Fe Composition wt% C Material Sciences and Engineering MatE271 Week 8 14 aterial Sciences and Engineering, Diffusional Transformation (Pearlite) - Consider the eutectoid reaction g (0.77 wt% C) a (0.22% C) + Fe3C (6.70% C) Austenite transforms to ferrite and cementite through Carbon diffuses away from ferrite to cementite Temperature affects the rate: Construct isothermal transformation diagrams from % transformation diagrams Material Sciences and Engineering MatE271 Week 8 15 Pearlite Transformation (diffusional) Austenite grain boundary Austenite (g) Austenite (g) Ferrite, a Fe3C cementite Pearlite Growth direction Of Pearlite Check Fig. 9.2 P. 306 g (0.77 wt% C) a (0.22% C) + Fe3C (6.70% C) Austenite Material Sciences and Engineering Ferrite MatE271 Cementite Week 8 16 aterial Sciences and Engineering, Mechanical Properties of Pearlite Pearlite is a mix of cementite and ferrite ( - Cementite is harder but more brittle than ferrite ) Layer thickness also has an effect - Fine pearlite is harder and stronger than coarse Material Sciences and Engineering MatE271 Week 8 17 Fe3C in Pearlite and Bainite Material Sciences and Engineering MatE271 Week 8 18 aterial Sciences Engineering, Isothermal and Diagrams Only valid for a particular composition for a particular system - Other compositions will have different curves Only valid when the temperature is constant throughout the transformation Material Sciences and Engineering MatE271 Week 8 19 Diffusionless Transformation: Martensitic Transformation Crystal: g (FCC) a (BCC) FCC accommodates C easily than BCC C Fe3C ( ) - trapped in the FCC lattice Form Body center tetragonal lattice, BCT Material Sciences and Engineering MatE271 Week 8 20 aterial Sciences and Engineering, The Full Isothermal TTT spheroidite Coarse pearlite fine pearlite upper bainite lower bainite martensite 100% martensite Material Sciences and Engineering MatE271 Week 8 21 Mechanical Properties of Martensite Strongest, hardest, and most brittle Hardness is dependent on C content Martensite is not as dense - therefore when it transforms it causes stress ( Tempering (heat treatment) of martensite relieves stress - makes it tougher and more ductile Note - other alloy system experience diffusionless (or martensitic) transformation Material Sciences and Engineering MatE271 Week 8 ) 22 aterial Sciences and Engineering, Martensite Tempering- stress reliving Tempering temperature martensite Check Fig. 10-18 10P. 370 Tempered Martensite: Material Sciences and Engineering M a +Fe3C MatE271 (isolated particles) Week 8 23 10.3 Hardenability Hardness: surface resistance to indentation H= F/Aprojected d F Ap Hardneability: relative ability of steel to hardened by quenching - Related to and of Martensitic transformation Material Sciences and Engineering MatE271 Week 8 24 aterial Sciences and Engineering, Jominy End-Quench measure hardness heat to above Teutectoid - Cylindrical specimen is cooled from the end by a spray or water - Specimen size, shape is specified - Water spray and time is specified - The hardness is measured with respect to the distance from the quenched end - Rockwell hardness measured (a hardness scale) Material Sciences and Engineering MatE271 Week 8 cool 25 Material Sciences and Engineering MatE271 Week 8 26 aterial Sciences and Engineering, 10.4 Precipitate Hardening Al-alloy 7150-T651 (6.2Zn, 2.3Cu, 2.3Mg, 0.12 Zr) 500nm Material Sciences and Engineering MatE271 Week 8 27 Precipitate Hardening Al-Cu alloy (96% Al-4%Cu) T k k q +k Slow cooling k q Time Material Sciences and Engineering MatE271 Week 8 28 aterial Sciences and Engineering, Age Hardening k T k quench q +k aging Fine dispersion of q particle Coherent interface Time Material Sciences and Engineering MatE271 Week 8 29 Age Hardening Aging time Super saturated k-solid solution Material Sciences and Engineering q-phase precipitate MatE271 Week 8 q-phase growth 30 aterial Sciences and Engineering, GP zone and service life Alloy load carrying capacity coalescence growth Aging Time Material Sciences and Engineering MatE271 Week 8 31 10.5 Annealing - Loss of hardness at high temperature - relief of residual stresses - reduction of dislocation density Force Stress = Area - Link between deformation and microstructure - Cold work - Recovery - Recrystallization - Grain growth Deformation is measured by percentage dimensional changes Material Sciences and Engineering MatE271 Strain = dL 100% L 32 Week 8 aterial Sciences and Engineering, Cold-working The degree of plastic deformation is expressed as % cold worked: Ao Af %CW = Ao - Af x100% Ao Why does this occur? Dislocation-dislocation strain field interactions Disloca...

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density fat age weight height neck chest abdomen hip thigh knee ankle biceps forearm wrist 1.0708 12.3 23 154.25 67.75 36.2 93.1 85.2 94.5 59.0 37.3 21.9 32.0 27.4 17.1 1.0853 6.1 22 173.25 72.
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sppname spp 3d 3a 8d 8a 7d 7a 17d 17a 16d 16a 14d 14a 1d 18d 13d 4d 4a 10d 10a 9d 9a 11.1d 11.1a 11.2d 11.2a Agr_tenu 1 16 2 5 4 29 0.5 6 2 1 0 0 0 84 83 32 24 7 31 2
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isolate concentration plate loggrowthCUE2 0 1 0.539CUE2 0.01 1 -3.507CUE2 0.004 1 -0.074CUE2 0.002 1 0.3CUE2 0.001 1 0.58CUE2 0.0005 1 0.539CUE2 0 2 0.827CUE2 0.01 2 -3.507CUE2 0.004 2 0CUE2 0.002 2 0.539CUE2 0.001 2 0.58CUE2 0.0005 2 0.8
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PRECIP JANTEMP JULYTEMP OVER65 HOUSE EDUC SOUND DENSITY NONWHITE WHITECOL POOR HC NOX SO2 HUMIDITY MORTAL CITY 36 27 71 8.1 3.34 11.4 81.5 3243 8.8 42.6 11.7 21 15 59 59 921.870 akr 35 23
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state sat takers income years public expend rankIowa 1088 3 326 16.79 87.8 25.60 89.7SouthDakota 1075 2 264 16.07 86.2 19.95 90.6NorthDakota 1068 3 317 16.57 88.3 20.62 89.8Kansas
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"x1" "x2" "x3" "y"79.473147331737 55.8229894610122 36.7666200269014 109.32858053513390.1664196513593 20.4938565380871 64.4587245769799 104.83154807050977.6622573379427 32.2717948118225 29.8085740534589 27.697590790020195.5653769895434 88.15729848
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x y .0224 .0243 .0243 .1028 .1626 .1477 .1215 .0729 .2411 .0486 .0766 .1776 .1047 .2579 .0430 .3645 .1084 .4000 .1981 .2841 .2505 .2776 .2215 .1617 .3421 .1963 .2953 .0729 .3953 .0579 .4121 .143
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age male survival23 1 040 0 140 1 130 1 028 1 040 1 045 0 062 1 065 1 045 0 025 0 028 1 128 1 023 1 022 0 123 0 128 1 115 0 147 0 057 1 020 0 118 1 125 1 060 1 025 1 120 1 132 1 132 0 124 0 130 1 115 1 050 0 021 0 12
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weight survive24.5 126.9 126.9 124.3 124.1 126.5 124.6 124.2 123.6 126.2 126.2 124.8 125.4 123.7 125.7 125.7 126.3 126.7 123.9 124.7 128.0 127.9 125.9 125.7 126.6 123.2 125.7 126.3 124.3 126.7 124.9 123.8 125.6 127.0
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chute line position strength1 2 1 12081 2 2 12011 2 3 12151 2 4 12991 2 5 12291 2 6 12362 2 1 12642 2 2 12222 2 3 12502 2 4 12222 2 5 12012 2 6 12853 2 1 8613 2 2 8333 2 3 8893 2 4 9383 2 5 9033 2 6 8614 2 1 11114 2 2 11464 2 3 1
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score code5.0 15.4 16.1 110.9 111.8 112.0 112.3 114.8 115.0 116.8 117.2 117.2 117.4 117.5 118.5 118.7 118.7 119.2 119.5 120.7 121.2 122.1 124.0 112.0 212.0 212.9 213.6 216.6 217.2 217.5 218.2 219.1 219.3 219.8 220.3
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40.5 41.64 35.00 44.5041.5 58.36 37.00 45.0042.5 42.29 42.00 45.5043.5 57.71 53.90 46.0044.5 42.93 53.00 46.5045.5 57.07 50.60 47.0046.5 43.57 50.50 47.5047.5 56.43 53.80 48.0048.5 44.21 52.50 48.5049.5 55.79 53.60 49.0050.5 44.86 50.40 49.
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Hg Cens0.159 FALSE0.334 FALSE0.207 FALSE1.803 FALSE0.633 FALSE0.466 FALSE0.393 FALSE0.645 FALSE0.268 FALSE0.236 FALSE0.333 FALSE0.290 FALSE0.288 FALSE0.271 FALSE0.180 FALSE0.138 FALSE0.117 FALSE0.271 FALSE0.135 FALSE0.128 FALSE0.
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group zincA 1.31A 1.45A 1.12A 1.16A 1.30A 1.50A 1.20A 1.22A 1.42A 1.14A 1.23A 1.59A 1.11A 1.10A 1.53A 1.52A 1.17A 1.49A 1.62A 1.29B 1.13B 1.71B 1.39B 1.15B 1.33B 1.00B 1.03B 1.68B 1.76B 1.55B 1.34B 1.47B 1.74B 1.74B
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99.971 399.942 18.899.863 46.899.979 4.799.932 18.999.811 46.899.982 8.399.908 21.799.877 58.199.971 9.399.97 21.999.798 62.399.957 9.999.985 22.899.855 70.699.961 1199.933 24.299.788 71.199.956 12.399.858 25.899.821 71.399.972 1
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