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Lecture 17

introducing

FATIGUE FAILURE
Atta ul Haq GIK Institute-Fall 2013

1
Just to have an overview where we are now

Atta ul Haq GIK Institute-Fall 2013

2
Major Issues to be addressed;

What is
FATIGUE

STRESS
CYCLES

S-N
CURVES

Atta ul Haq GIK Institute-Fall 2013

Fatigue
Testing

3
What IS a FATIGUE ?

Atta ul Haq GIK Institute-Fall 2013

4
Getting Started- Fatigue basics
Object --> Repeated Motion--> Weakness/tiredness --> Fatigue
Example: Your legs/ muscles decrease in output due to constant running
Aircraft

Automobile

Fatigue in materials
Metals --> Weak/fracture due to repeated loading
90% service failure  Fatigue

Turbine blades,
Examples: materials in continuous loading-unloading applications like
bridges…

bolts/ shafts (Brittle type fracture—why?)

“The PREMATURE failure/lowering of SRENGTH of a
material due to repetitive stresses which may be below or
above its yield strength ”
Atta ul Haq GIK Institute-Fall 2013

5
Requirements for Fatigue Failure
Plastic
strain

Tensile
stresses
Cyclic loading

• This type of failure occurs in Metals and Polymers,
While Ceramics do not undergo this type of failure!!
Atta ul Haq GIK Institute-Fall 2013

6
Fracture Surface in a Fatigue failure:
STAGES OF FATIGUE FAILURE

FATIGUE FAILURE

Two Main fracture ZONES
 Smooth Surface
 Crystalline Surface

1) CRACK initiation
2) Crack Propagation
3) Catastrophic rupture
Atta ul Haq GIK Institute-Fall 2013

7
Fracture Surface in a Fatigue failure:

Fatigue in Engine Crankshaft
Striation
High magnification SEM Image

Atta ul Haq GIK Institute-Fall 2013

8
Fracture Surface in a Fatigue failure:
Macroscopic Examination

Microscopic Examination

start

End
progress
SEM image

Clamshell/beach markings

Finer markings-Striations

SEM image @ high
magnification
Intrusions
and
Extrusions

Dislocation motion leads to PERSISTENT SLIP BANDS (PSBs)
These SLIP BANDS involve INTRUSIONS and EXTRUSIONS (slip on different set of planes
depending on loading cycle)  Tiny Steps  Stress Raisers  Microcrack Initiation (along
planes of high shear stress )
Atta ul Haq GIK Institute-Fall 2013

9
CRACK Initiation and
Propagation !
 Crack formation and propagation is a Micromechanism in fatigue
 Fatigue crack initiation is a surface phenomenon

 SLIP BANDS Formation (Persistent Slip Bands)
 Crack initiates
•

Atta ul Haq GIK Institute-Fall 2013

10
CRACK Propagation
Mechanism !
• Cyclic Load

• Crack Initiation (microcrack)

• Crack Propagation Stage I

• Crack Propagation Stage II

• Fracture

We will study Crack propagation Stages again once we get familiarize with the loading cycles
Atta ul Haq GIK Institute-Fall 2013

11
STRESS CYCLES

Atta ul Haq GIK Institute-Fall 2013

12
Types Of Fluctuating Stresses
Reversed Stress cycle

Repeated Stress cycle

Random/irregular stress cycles

Atta ul Haq GIK Institute-Fall 2013

13
Stress Cycles in Fatigue
Mean Stress:
Amplitude Stress:

Range:
Radius Ratio:

Amplitude Ratio:

Atta ul Haq GIK Institute-Fall 2013

14
Atta ul Haq GIK Institute-Fall 2013

15
CRACK Propagation
Mechanism !
• Cyclic Load

• Crack Initiation (microcrack)

• Crack Propagation Stage I

• Crack Propagation Stage II

• Fracture

Atta ul Haq GIK Institute-Fall 2013

16
Let us consider three samples with same initial crack length subjected
to different repeated cycles. Please note that material is also same;

Higher Crack Growth rate at higher magnitude of applied stresses and vice versa

Materials life to Fracture is now highly dependent on magnitude of applied
stress and final crack length (which is related to materials structural property
(resistant to deformation etc..)
Atta ul Haq GIK Institute-Fall 2013

17
Fracture Mechanics for Fatigue

Fatigue Life

Atta ul Haq GIK Institute-Fall 2013

18
S-N Curves

Wöhler curve/SN curves - A graph showing stress
as a function of number of cycles in fatigue.
Atta ul Haq GIK Institute-Fall 2013

19
Presenting Fatigue Data

Atta ul Haq GIK Institute-Fall 2013

20
Fatigue Limit/Endurance Limit:
“The stress below which a material will not fail by fatigue”

ferrous

Non-ferrous

Atta ul Haq GIK Institute-Fall 2013

21
Fatigue Life:
The number of cycles permitted at a particular stress before a
material fails by fatigue.

Fatigue Strength:
The stress required to cause failure by fatigue in a given number
of cycles.

Atta ul Haq GIK Institute-Fall 2013

22
Fatigue Testing

Atta ul Haq GIK Institute-Fall 2013

23
Cantilever loading

Four Point Bending Set up
Atta ul Haq GIK Institute-Fall 2013

24
Failure Criteria can also be established by plotting fatigue test data

Modified Goodman Relation
a

=

e

(1 –

m/

Predicts safer regions for fatigue

u)

Gerber Relation
a

=

e

(1 –

m/

2
u)

Soderberg Relation
a

=

e

(1 –

m/

y)

Atta ul Haq GIK Institute-Fall 2013

25
Miner’s Law and Cumulative Damage
Fatigue life
consumed at
S1

Remaining cycles permissible at S2

Fatigue Failure will
occur when

N1 = lifetime at S1
n1 = Number of cycles applied till S1

Atta ul Haq GIK Institute-Fall 2013

26
Factors Effecting Fatigue
Loading and Loading Cycles
Surface Conditions
Design Consideration
Nature of Environment
The nature of Surface strongly influence fatigue strength:
-Surface Hardness
-Surface Roughness
-Residual Stresses

Atta ul Haq GIK Institute-Fall 2013

27
How to Improve Fatigue Performance
1. Surface Treatments, induce
compressive stressess.
--Method 1: shot peening

--Method 2: carburizing

shot
put
surface
into
compression

2. Remove stress
concentrators.

C-rich gas

bad

better

bad

better

Atta ul Haq GIK Institute-Fall 2013

28
Fatigue in Polymers
Fatigue behaviour and SN curves similar to that of metals except the crack initiation:
There is no Concept of Persistent Slip Bands (PSBs) in Polymers , rather crack is initiated
with CRAZING phenomenon.

Atta ul Haq GIK Institute-Fall 2013

29
QUIZ-5/6 ON THURSDAY, 8TH WEEK
@5:30PM MLH

Atta ul Haq GIK Institute-Fall 2013

30

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Fatigue Failure Slides

  • 1. Lecture 17 introducing FATIGUE FAILURE Atta ul Haq GIK Institute-Fall 2013 1
  • 2. Just to have an overview where we are now Atta ul Haq GIK Institute-Fall 2013 2
  • 3. Major Issues to be addressed; What is FATIGUE STRESS CYCLES S-N CURVES Atta ul Haq GIK Institute-Fall 2013 Fatigue Testing 3
  • 4. What IS a FATIGUE ? Atta ul Haq GIK Institute-Fall 2013 4
  • 5. Getting Started- Fatigue basics Object --> Repeated Motion--> Weakness/tiredness --> Fatigue Example: Your legs/ muscles decrease in output due to constant running Aircraft Automobile Fatigue in materials Metals --> Weak/fracture due to repeated loading 90% service failure  Fatigue Turbine blades, Examples: materials in continuous loading-unloading applications like bridges… bolts/ shafts (Brittle type fracture—why?) “The PREMATURE failure/lowering of SRENGTH of a material due to repetitive stresses which may be below or above its yield strength ” Atta ul Haq GIK Institute-Fall 2013 5
  • 6. Requirements for Fatigue Failure Plastic strain Tensile stresses Cyclic loading • This type of failure occurs in Metals and Polymers, While Ceramics do not undergo this type of failure!! Atta ul Haq GIK Institute-Fall 2013 6
  • 7. Fracture Surface in a Fatigue failure: STAGES OF FATIGUE FAILURE FATIGUE FAILURE Two Main fracture ZONES  Smooth Surface  Crystalline Surface 1) CRACK initiation 2) Crack Propagation 3) Catastrophic rupture Atta ul Haq GIK Institute-Fall 2013 7
  • 8. Fracture Surface in a Fatigue failure: Fatigue in Engine Crankshaft Striation High magnification SEM Image Atta ul Haq GIK Institute-Fall 2013 8
  • 9. Fracture Surface in a Fatigue failure: Macroscopic Examination Microscopic Examination start End progress SEM image Clamshell/beach markings Finer markings-Striations SEM image @ high magnification Intrusions and Extrusions Dislocation motion leads to PERSISTENT SLIP BANDS (PSBs) These SLIP BANDS involve INTRUSIONS and EXTRUSIONS (slip on different set of planes depending on loading cycle)  Tiny Steps  Stress Raisers  Microcrack Initiation (along planes of high shear stress ) Atta ul Haq GIK Institute-Fall 2013 9
  • 10. CRACK Initiation and Propagation !  Crack formation and propagation is a Micromechanism in fatigue  Fatigue crack initiation is a surface phenomenon  SLIP BANDS Formation (Persistent Slip Bands)  Crack initiates • Atta ul Haq GIK Institute-Fall 2013 10
  • 11. CRACK Propagation Mechanism ! • Cyclic Load • Crack Initiation (microcrack) • Crack Propagation Stage I • Crack Propagation Stage II • Fracture We will study Crack propagation Stages again once we get familiarize with the loading cycles Atta ul Haq GIK Institute-Fall 2013 11
  • 12. STRESS CYCLES Atta ul Haq GIK Institute-Fall 2013 12
  • 13. Types Of Fluctuating Stresses Reversed Stress cycle Repeated Stress cycle Random/irregular stress cycles Atta ul Haq GIK Institute-Fall 2013 13
  • 14. Stress Cycles in Fatigue Mean Stress: Amplitude Stress: Range: Radius Ratio: Amplitude Ratio: Atta ul Haq GIK Institute-Fall 2013 14
  • 15. Atta ul Haq GIK Institute-Fall 2013 15
  • 16. CRACK Propagation Mechanism ! • Cyclic Load • Crack Initiation (microcrack) • Crack Propagation Stage I • Crack Propagation Stage II • Fracture Atta ul Haq GIK Institute-Fall 2013 16
  • 17. Let us consider three samples with same initial crack length subjected to different repeated cycles. Please note that material is also same; Higher Crack Growth rate at higher magnitude of applied stresses and vice versa Materials life to Fracture is now highly dependent on magnitude of applied stress and final crack length (which is related to materials structural property (resistant to deformation etc..) Atta ul Haq GIK Institute-Fall 2013 17
  • 18. Fracture Mechanics for Fatigue Fatigue Life Atta ul Haq GIK Institute-Fall 2013 18
  • 19. S-N Curves Wöhler curve/SN curves - A graph showing stress as a function of number of cycles in fatigue. Atta ul Haq GIK Institute-Fall 2013 19
  • 20. Presenting Fatigue Data Atta ul Haq GIK Institute-Fall 2013 20
  • 21. Fatigue Limit/Endurance Limit: “The stress below which a material will not fail by fatigue” ferrous Non-ferrous Atta ul Haq GIK Institute-Fall 2013 21
  • 22. Fatigue Life: The number of cycles permitted at a particular stress before a material fails by fatigue. Fatigue Strength: The stress required to cause failure by fatigue in a given number of cycles. Atta ul Haq GIK Institute-Fall 2013 22
  • 23. Fatigue Testing Atta ul Haq GIK Institute-Fall 2013 23
  • 24. Cantilever loading Four Point Bending Set up Atta ul Haq GIK Institute-Fall 2013 24
  • 25. Failure Criteria can also be established by plotting fatigue test data Modified Goodman Relation a = e (1 – m/ Predicts safer regions for fatigue u) Gerber Relation a = e (1 – m/ 2 u) Soderberg Relation a = e (1 – m/ y) Atta ul Haq GIK Institute-Fall 2013 25
  • 26. Miner’s Law and Cumulative Damage Fatigue life consumed at S1 Remaining cycles permissible at S2 Fatigue Failure will occur when N1 = lifetime at S1 n1 = Number of cycles applied till S1 Atta ul Haq GIK Institute-Fall 2013 26
  • 27. Factors Effecting Fatigue Loading and Loading Cycles Surface Conditions Design Consideration Nature of Environment The nature of Surface strongly influence fatigue strength: -Surface Hardness -Surface Roughness -Residual Stresses Atta ul Haq GIK Institute-Fall 2013 27
  • 28. How to Improve Fatigue Performance 1. Surface Treatments, induce compressive stressess. --Method 1: shot peening --Method 2: carburizing shot put surface into compression 2. Remove stress concentrators. C-rich gas bad better bad better Atta ul Haq GIK Institute-Fall 2013 28
  • 29. Fatigue in Polymers Fatigue behaviour and SN curves similar to that of metals except the crack initiation: There is no Concept of Persistent Slip Bands (PSBs) in Polymers , rather crack is initiated with CRAZING phenomenon. Atta ul Haq GIK Institute-Fall 2013 29
  • 30. QUIZ-5/6 ON THURSDAY, 8TH WEEK @5:30PM MLH Atta ul Haq GIK Institute-Fall 2013 30