1. Subjected to combined thermal and mechanical loading – stresses and T vary with time
~ 10x damaging than isothermal fatigue at max operating T
1
OP cause oxidation damage. Oxide film forms
in compression at hi T; ruptures during low T
tensile loading when oxide film is more brittle
lines without symbols
Isothermal at various T
open symbols TMF IP
solid symbol TMF OP
InPhase loading – max in T and strain occur
at same time
Out of Phase - compression at highest T &
tension at lower T
1010 steel
Thermo-mechanical Fatigue
2. Creep
Strength deteriorates with temperature , T
Processes involving diffusion accelerate with T
So … are there any links ?
Module B: Distress Mechanisms
Lecture 03 Creep
2
3. At hi T
• Hi mobility of dislocations
3
• New deformation mechanisms - additional / changed slip systems,
deformation at grain boundaries
• Prolonged hi T exposure stability of metallurgical processes
• Re-cystallization in cold worked steels
• Over-ageing in Al-alloys
• Oxidation, hot corrosion
hi rate of diffusion-controlled processes
• Mobility of atoms increases
• Hi equilibrium conc of vacancies
climb mechanism
4. Why do tungsten filament bulbs fuse ?
Fusion = melting; M.P ~ 3410 0C
W filament does not melt or fuse right away;
4
it gets deformed, becomes thin till fails
5. Life of jet turbine blades
What limits it?
Degree of deformation limits the
life of a turbine blade
5
Deformed blade
6. Temperature
Hi temp for one material may not be hi for another
homologous T
𝑻
𝑻𝑴
, engg significance if > 0.5
6
Time scale
• Missile rocket cone ~ minutes
• Steam pipe line ~ 107 minutes
Time
7. Creep
Time dependent permanent deformation under const stress/load at elevated T
7
Stress at elevated temp deforms component results
in its failure even if
Stress Rupture measures long term load bearing characteristics
measures progressive dimensional changes
Under constant stress ? OR load ?
σ
ε
applied stress is < y at that temp
8. Creep testing
• Constant stress at elevated T
• Strain is measured as a function of time –
months / years
• Change in strain with time,
𝑑𝜀
𝑑𝑡
, is creep rate
8
Special equip for a simple test
9. Creep Curve
9
Time, t
Strain,
0
0
Initial deformation rate is hi;
strain hardening slows it down
Necking. Accelerated
deformation → failure
Rate of climb rate of blocking by obstacles –
steady state. climb slip planes
strain or elongation is
plotted against time
idealized
creep rate
𝒅𝝐
𝒅𝒕
= έss
min creep rate, έss
10. Creep Curve
10
Time, t
Strain,
0
0
Initial deformation rate is hi;
strain hardening slows it down
Necking. Accelerated
deformation → failure
Rate of climb rate of blocking by obstacles –
steady state. climb slip planes
strain or elongation is
plotted against time
idealized
creep rate
𝒅𝝐
𝒅𝒕
= έss
min creep rate, έss
11. Instantaneous Creep
Stages of Creep
11
Instantaneous creep is recoverable (elastic – immediately,
and anelastic- recoverable with time)
This strain is not creep and so it is deducted from total
strain values
12. Primary creep
• Region of decreasing creep rate
• Transient creep stage – creep resistance of
material increases due to its deformation
Stages of Creep
12
Dominates at low temp and low stresses, eg in case of Pb at
room temp
13. 2nd stage of Creep
Secondary creep – change in creep rate, έ,
with time is little. έ ~ constant
Balance between competing processes
• Strain hardening
• Recovery
time, t
Strain,
ε
Stages of Creep
13
Average value of creep in this stage is
‘minimum creep rate’
14. Tertiary Creep
Occurs
• In constant load experiments at hi
loads, hi Ts
• With effective reduction in cross
section – necking or internal void
formation
time, t
Strain,
ε
• Associated with metallurgical changes
• Coarsening of ppts
• Recrystallization
• Diffusional phase changes
Stages of Creep
14
Sources: 1. https://www.efatigue.com/hightemp/background/tmf.html
2. HIGH TEMPERATURE ALLOYS FOR GAS TURBINES 1982. Proc Conf Liege, Belg, 4-6 Oct 1982 Edit: R. BRUNETAUD, SNECMA, Belg, D. COUTSOURADIS, CRM, Bel , T. B. GIBBONS, NPL, UK, Y. LINDBLOM, FFV, Sweden, D. B. MEADOWCROFT, CEGB, UK org ‘Centre Recherches Metallurgiques, Centrum voor Research Metallurgie, Liege, Belg
When heated, structures develop thermal gradients. Expansion constrained by cooler surrounding. Thermal strain is converted into mechanical to cause fatigue damage.
AISI 1010 carbon steel is a plain carbon steel with 0.10% carbon content. This steel has relatively low strength but it can be quenched and tempered to increase strength.
Dieter pg 432
Dieter pg 433
107 min = 20 yrs
Creep is the time-dependent deformation of a material while under an applied load below its yield strength. Unless stopped, creep testing terminates in rupture. Creep tests use continuous load at elevated temperatures, measuring load over an extended period of time,
Stress rupture is the sudden and complete failure of a material under stress. Sample is held at a specific load at an elevated temperature. Stress rupture tests are performed for total, catastrophic failure of materials under load.
Strain rates in creep test is 0.5 ( test time 2k -10k hrs); emphasis on accurate determination of min strain rate – secondary creep. Stress rupture tests aim to determine hi temp strength of new alloys for hi-temp application; strain rate 50 % (tests ~ 1k hrs) tested till failure.
Dieter pg 434
For engg applications load is maintained constant
Pg 438-9
0 represents instantaneous strain when load is applied – not part of creep but is part of permissible strain which exists in sample.
Degree to which 3 stages are distinguishable depends on stress and temperature.
Tertiary creep – reduction in cross-section due to necking or internal void formation, metallurgical changes eg coarsening of ppts, recrystallization, diffusional changes in phases
Natural to discuss (i) in terms of creep rate (ii) in terms of 3 stages . ARE 3 stages readily distinguishable? Depends on Stress and Temperature.
Pg 438-9
0 represents instantaneous strain when load is applied – not part of creep but is part of permissible strain which exists in sample.
Degree to which 3 stages are distinguishable depends on stress and temperature.
Tertiary creep – reduction in cross-section due to necking or internal void formation, metallurgical changes eg coarsening of ppts, recrystallization, diffusional changes in phases
Natural to discuss (i) in terms of creep rate (ii) in terms of 3 stages . ARE 3 stages readily distinguishable? Depends on Stress and Temperature.