introduction to material science may 2011

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Introduction to Material Science May 2011

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    UN IVERSITITEKNOLOC IPETRONAS

    COURSE :

    ,.

    MCBI I 21MBBI Q52 I MCBI D12-- INTRODUCTION TOMATERIAL SCIENCE I INTRODUCTION TOMATERIAL SCIENCE AND ENGINEERING

    DATE 8THSEPTEMBER 2011 THURSDAY)TIME 2.30 PM - 4,30 PM 2 hours)

    INSTRUCTIONS TO CANDIDATES

    I Answer ALL questions in the Answer Booklet.2. Begin EACH answer on a new page.3. Indicate clearly answers that are cancelled, if any.4. Where applicable show clearly steps taken in arriving at the solutions and

    indicate ALL assumptions.5. Do not open this Question Booklet until instructed.

    Note : There are TEN 10) pages in this Question Booklet including the coverpage and appendices.

    1,

    UNIVERSITI

    Universiti Teknologi PETRONAS

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    MCBIDI21 MBB 1052IMABI463

    I. Aluminum is an FCC metal with an atomic weight of 26.98 glmol, an atomicradius of 0.143 nm, and a density of 2.71 glcm3 at 20C.

    a. Compare the planar densities of the {11O} and {111} planes ofaluminum. Classify which of the planes you would expect to have thehigher surface enemy.

    [9 marks]

    b. By constructing appropriate diagrams, identity how slip occurs in FCCaluminum. Sketch and label at least one slip plane from the FCC slipsystem and indicate the corresponding slip directions on that plane.

    [8 marks]

    C. By constructing appropriate diagrams, formulate the size in nm) of animpurity atom that can just fit into the interstitial site of the aluminumunit cell. State the name of this interstitial site and the coordinates ofthe interstitial sites.

    [8 marks]

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    MCBI012 MBB 10521MAB1003 w

    2. A carburizing heat treatment of a steel component was carried out byintroducing 1.10 wt% carbon at the surface of the component. The initialconcentration of carbon within the component is 0.20 wt%. This processproduces a 2.5-mm case depth (depth of carburized layer) after a 2-hourcarburizing treatment at 820C.

    a. Calculate the carbon content at 2.5-mm beneath the surface. (Gasconstant, R=8.31 Jlmole0 K).

    [9 marks]b. it was decided to increase the case depth to 3.5-mm by increasing

    the carburizing time. Determine the time required to achieve the newcase depth.

    [6 marks]

    C. If instead it was decided to increase the carburizing temperature butmaintain the 2-hour treatment time, evaluate the change intemperature required to achieve a case depth of 3.5-mm.

    [10 marks]

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    MCBIOI2 MBB 10521MAB1063

    b. An isothermal transformation diagram for an iron-carbon alloy ofeutectoid composition is shown in FIGURE Q4b. The steel washeated to 754C and cooled under various conditions. For eachheat treatment, specify and sketch the final microstructure formed.

    FIGURE Q4bi. Quenched to 600C and held for 120 seconds then rapidly

    cooled to room temperature.[4 marks]

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    MCBI0I21 MBB 10521MABI063

    900 III-I

    1040 Steel

    140

    a

    7000 600.2Il 500

    400

    300

    00 10

    ...

    20 30 40Percent cold work

    FIGURE Q3a

    FIGURE Q3b

    50 60

    120

    100

    80

    60

    40

    70

    5

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    MCB10121 MBB 10521MAB1063

    4. a. 8-kg of a steel alloy containing 0.55 wt C is slowly cooled from800C to slightly below 77C. Using the iron-iron carbide phasediagram as shown in FIGURE Q4a, answer the fallowingquestions.

    Composition (at C)19 15 25

    AC)H

    FIGURE Q4a

    i. Determine the number of phases present at thistemperature and the weight of each phase.

    [6 marks]

    ii. Sketchthe microstructureof the phasesformed.[3 marks]

    iii. Write the eutectic and eutectoid reactions for an iron-ironcarbide system.[4 marks]

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    MCB1412 I MBB 1521MAB1U63

    ii. Quenched to 670C and held at this temperature for 104seconds then rapidly cooled to room temperature.

    [4 marks]rrlIir Quenched to 050C and held for 20 seconds then rapidly

    cooled to 400C and held for 1O seconds followed byquenching to room temperature.

    [4 marks]

    -END OF PAPER-

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    MCB1,012 I MBB 10521MABI063

    APPENDIX - Tables and Charts

    Table Al Tabulation of Error Function Values

    00.0250.05

    0.100.150.200.250.300.350.400.454.50

    erf(z) z erf(z)00.02820.05640.1 250.16840.22270.27630.32860.37940.42840.47550.5205

    erf(z)0.93400.95230.96610.9'7630.98380.98910.99280.99530.99810.99930.99980.9999

    Table A2: Tabulation of Diffusion Data

    a-Fe 2.8 x 1-4 251 2.60(BCC)130(rn2/s) k. /mol eV/atom

    DiffusingSpecies Dost Metal

    FeFe 7-Fe 5.0 X 1U-S 284 2.94(FCC)C a-Fe 6.2 x10' 80 0.83C yFe 2.3 x IO 148 1.53

    Cu Cu 7.8 x :Os 211 2.19Zn Cu 2.4 x 1O- 189 1.96Al Al 2.3 x iQ-d 144 1.49Cu Al 6.5 xiO W 136 1.41Mg Al 1.2 x 1Q131 1.35Cu Ni 2.7 x 1Qs 256 2.65

    0.550.600.650.700.750.800.850.900.951.01.11.2

    0.56330.60390.64200.67780.71120.7421.0.77070.79700.820.94.54270.88020.9103

    z1.31..1.51.61.71.81,.2.02.22.42.62.8

    Activation Energy Qd

    .,w...,.,.... .....,.. ..,,. ..., . ,.,..,,w..,. .., . ..w..

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    MCB10121 MBB 10521MAB1063

    Temperature C)

    Reciprocalemperature1000/K)Figure Al : Plot of the logarithm of diffusion coefficient versus the reciprocal ofabsolutetemperaturefor diffusion pairs.

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