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Creep Lecture1 0823

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    !"# !"#$%&""%&''( ') *+,-+../-+,

    CREEP - AME 559

    Fall 2011

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    Latest edition

    Elsevier, 2009

    1st edition

    Elsevier, 2004

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    References: (i) M.E. Kassner and M.T. Perez-Prado, Prog. Mater. Sci. 45(2000), p.1.

    (ii) !" $%&'(%)'* +Fundamentals of creep and creep rupture inmetals ,* -%./0))%1* 2345 67849"$:4

    (iiI;

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    AME 559 - Fall 2011

    Class schedule:

    Course Syllabus

    Week Date Lecture Topics1 8/23 Introduction

    8/25 Phenomenological approach2 8/30 Analysis of activation energy

    9/1 Factors influencing activation energy I

    3 9/6 Factors influencing activation energy II9/8 Factors influencing activation energy III4 9/13 Stress dependence of creep I

    9/15 Stress dependence of creep II5 9/20 Stress dependence of secondary creep rate I

    9/22 Stress dependence of secondary creep rate II6 9/27 Power-law creep I

    9/297 10/4 Mid-term Exam

    10/6

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    AME 559 - Fall 2011

    15 11/29 Creep fracture III12/1 ( )

    12/8 (Th): Final Exam (2-4 p.m.)

    Week Date Lecture Topics8 10/11

    10/13

    9 10/18 Power-law creep II10/20 Creep equation

    10 10/25 Three-Power-law creep10/27 Structure dependence of Creep I

    11 11/1 Structure dependence of Creep II

    11/3 Structure dependence of Creep III12 11/8 Creep mechanism I

    11/10 Creep mechanism II13 11/15 Superplasticity

    11/17 Creep fracture I

    14 11/22 Creep fracture II11/24 Thanksgiving recess

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    -70 71-75 76-80 81-85 86-90 91-95 96-100

    Number ofstudents

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    Final score (Fall 2009)

    Homework: 10%Term paper: 20%1 Midterm Exam: 25%Final Exam: 45%

    AME 559 - Fall 2011Course Syllabus

    Grading:

    Mid-term Exams:80 minutes, in class

    Final Exam:120 minutes, December 8 (Th), 2-4 p.m.

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    -70 71-75 76-80 81-85 86-90 91-95 96-

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    Final score (Fall 2010)

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    Choose a journal paper (not conferences or company reports,etc.) regarding to creep, write a short critical review paper.The target paper should be selected and approved no later than November 1 . The paper can be submitted until the lastclass ( November 29 ).

    Format: Abstract (~200 words)Review (10)

    Recommended journals:

    Acta MaterialiaPhilosophical Magazine AMetallurgical and materials transactions AMaterials science & engineering AScripta Materialia

    Journal of materials science

    AME 559 - Fall 2011

    Term paper:Course Syllabus

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    Writing a critical review paper:Focus on the content (e.g. experimental materials, experimental

    methods, experimental results & discussion).The contents you have to understand and evaluate include;

    (1) The purpose of the paper

    (2) The hypothesis of the experiments

    (3) The experimental set-up(4) The experimental results (well-presented? Reliable? Sufficient?)

    (5) Discussion (able to explain all the results? Anything make itoriginal? Well-demonstrated?)

    (6) Conclusions (well-supported? Meet the original goal?)

    Abstract (~200 words)Review (

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    Finding Journal papers

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    Finding Journal papers

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    Finding Journal papers

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    I. Introduction

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    Definition:

    H Creep occurs at all temperatures above 0 K.

    H Creep is only important at temperatures I 0.5 T m.

    Creep is +time-dependent , deformation of materialsoccurring at constant stress, ! , and temperature, T .

    Lead (Pb) T m = 327 C = 600 K T RT = 0.5 T m

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    1800 1900 2000

    0

    100

    200

    300

    400

    T e m p .

    f o r o p e r a

    t i n g p

    l a n t

    o n

    i n d u s t r y

    ( e . g .

    b o

    i l e r )

    C

    year

    use any steelNeedcreep-resistance

    Why is creep important ?

    Creep is important in all systems:

    engines, turbines, piping, rockets, etc.(Also important in glaciers, ice flow,moment of rocks in earth.)

    steam turbine used in apower plant

    http://en.wikipedia.org/wiki/File:Dampfturbine_Laeufer01.jpg
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    Need creep-resistant alloys

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    Level A J .'1=01>B ?B&K0.B C>= /'10='& F%/%LB %= : DB%& 01=B&K%)?;MBKB) N J .'1=01>B ?B&K0.B C>= (0O 01?EB.=0'1 01=B&K%)? %= 2"5 DB%&?P

    MBKB) Q J )0/0=BF ?B&K0.B 0? E'??0C)B >1=0) &BE%0&P

    MBKB) R J &BE%0& 0//BF0%=B)D.

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    Damage parameters are different for the same material used indifferent conditions.

    HGas turbine blades:0.0001% per hour (1% in 10,000 hours)

    HSteam turbines:0.00001% per hour (1% in 100,000 hours S 11.5 years)

    HNuclear reactors:0.2% in 200,800 hours (~22 years)

    Creep rate: % / hour

    Example: Minimum creep rate interested to design engineers

    Hot working of metalsEngineering creep

    10 610 -6 1

    Experimental creep tests

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    10 -15 10 -12 10 -9 10 -6 10 -3 10 0 10 3 10 6

    geologyNormal design

    code

    Creep testing

    Standardtensile test

    Industrialprocesses

    (Forging, Rolling, Extrusion, Drawing)

    Dynamic

    testing

    Explosive

    testing

    constant T

    )(s -1 log !!

    "log

    Variation of ! with !!

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    Comparison between creep & fatigue:

    Fatigue

    1. Cyclic stress (

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    Important definitions and parameters:

    1. Mechanical process

    Applied stress Applied shear stressTrue strain (rate of change of instant length)Engineering strain (rate of change of initial length)Shear strain

    Strain rate

    Shear strain rate

    1! e "#"#

    o o

    o

    l l

    l l l

    $ %1!lnln! e ## 'o

    l

    l

    l

    l

    l

    dl o

    !!

    where l is instantaneous lengthand l o is initial length.

    #!

    "$!

    e!#

    t d

    d !#

    t d

    d ##

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    2. Diffusion process

    D Diffusion coefficient

    )/exp( RT Q D D o "#where D o is frequency factor, Q is activation energy fordiffusion in kJ/mol and R is gas constant (8.31 J/mol ! K) .

    D gb Grain boundary diffusion coefficientD l Lattice diffusion coefficient

    U Activation energy in eV

    k Boltzmann V? .'1?=%1= W2":X4 Y10 -29 MPa ! m3/K )T m Melting temperature of a material

    )/exp( k T U D D o "#

    S Entropy

    ( Atomic volume [ ( " 0.7 b 3 ]

    1 kcal/mol = 4.19 kJ/mol

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    3. Elasticity

    G Shear modulusE Z'>1LV? modulus! ['0??'1V? ratio

    12

    "#G E

    )

    4. Special symbols for creep structural terms

    d Grain sizeS +\=&>.=>&B =B&/," Width of grain boundaryb Burgers vector of dislocation* density of dislocations

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    H.J. Frost and M.F. Ashby, D e f or m a t ion-M ec hani s m Map s ; Th e Pla st i c i t yand Cr ee p o f M e t al s and C e ra m i c s , Pergamon Press, Oxford, UK, (1982)

    For pure metals,


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