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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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Number ofstudents
Total points
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.
0
1
2
3
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100
Number ofstudents
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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
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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,