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Damage
Tolerance
Analysis
What is the root of DTA ?
 fatigue is the weakening of a material
caused by repeatedly applied loads.
What happen in Fatigue ?
What is the cast of failure ?
 Physical harm to people or the
environment
 Loss or destruction of property or
equipment
 Loss of productivity or use of the failed
“system” or device
 Damaged reputation
Different Fatigue Design
Methodologies
 Infinite Life Design
 Safe-Life Design
 Damage Tolerance Design
Infinite Life Design
 Unlimited safety is the oldest criterion.
 For parts subjected to many millions of
cycles, like engine valve springs, this is still
a good design criterion.
 This criterion may not be economical or
practical in many design situations.
 endurance limit of the material is
important in this design criterion.
Something is wrong here !!
Safe-life Design
 Safe-life refers to the philosophy that the
component or system is designed to not
fail within a certain, defined period.
 The benefit of safe-life designs includes
reducing the likelihood of unplanned
maintenance and reducing the likelihood
of any failure
Z 42 is made with safe life
philosophy
Safe life process
 evaluating the highest operational stress
on the component
 safety factors are often applied to ensure
that catastrophic failures
 Comparing S-N curve
 It has infinite life or limited life
S-N Curve
Did I forget Something again ?
 In order to overcome this shortcoming of
the safe-life approach, the methods were
must developed that assume the structure
contains initial cracks.
Damage tolerance analysis
Damage tolerance analysis
we have category :
Slow crack growth
 structures are
designed such that
initial damage will
grow at a stable,
slow rate under
service
environment
Fail-safe
 structures are
designed such that
propagating
damage is safely
contained after
failing a major load
path by load shift to
adjacent intact
elements
Slow crack growth
 damage tolerance (and thus safety) is
assured only by the maintenance of a
slow rate of growth of damage, a residual
strength capacity
 sub-critical damage will either be
detected at the depot or will not reach
unstable dimensions within several design
life times.
Fail-safe
 damage tolerance is assured by the
allowance of partial structural failure
 the ability to detect this failure prior to
total loss of the structure
 Fail Safe structure is designed and
fabricated such that unstable rapid
propagation will be stopped within a
continuous area of the structure prior to
complete failure
Usually:
• Slow Crack GrowthSingle load path
• Slow Crack Growth
• Fail Safe
Multiple load path
Lug Example of Slow Crack Growth Structure
The lug fitting illustrated here
has multiple lug ends at the
pinned connection
occurrence and growth of
damage at a typical location
(B) would render the structure
inoperative.
Wing Box Example
a wing box is attached
to the fuselage carry
through structure by
multiple fittings.
A case could be made
to qualify this structure
as Fail Safe Multiple
Load Path.
if the skin was the major bending member with a design stress of
sufficient magnitude to result in a relatively short critical crack
length.
Damage concept
 the majority of the life is spent growing the
resultant cracks to failure.
 analyses of in-service fractures, cracking
instances, etc. have indicated that a
major source of cracks is the occurrence
of initial manufacturing defects such as
sharp corners, tool marks
typical growth behavior for a crack
structural element as it moves from an initial damage size
to a damage size that causes structural failure
• Crack increment
(Δa)
• number of loading
events (ΔN)
• critical value (acr)
when the crack is small, it grows very slowly
Damage growth effect
Quality
Note that the shape of the crack growth curve (for a
given configuration and loading) remains essentially
constant for any given crack growth increment.
The effect of initial crack size is significant.
Damage growth effect
load history
The stress history experienced at each location on the
aircraft will also differ due to changes in bending
moment, twisting moment, shear loading.
The loading spectra for a lower surface location is
typically more severe than a corresponding upper
surface location.
Damage growth effect
material properties
The crack growth rate (Δa/ΔN) can be derived
experimentally for each material
the alloy having the slower growth rate characteristics
(i.e. 2024-T3) will have a longer life
Damage growth effect
Structural Properties
The most complex of the parameters affecting crack
growth behaviorare the structural properties.
Life Prediction Methodology
(Initial Flaw Distribution)
For predictions of safety limits, the initial cracks
larger than detectability limit are of principal concern.
(Initial Flaw Distribution)
 NDT ( nondestructive inspection )
Life Prediction Methodology
(Usage)
The sum of the load
levels that a structure
is expected to
experience is
determined by a
projection of the
amount of usage
expected over the
life in the various
possible missions
(Usage )
Life Prediction Methodology
(material properties)
Crack growth data are
generated in the laboratory
under constant cyclic
loading on simple
specimens with accepted
characterizing stress intensity
factors.
Life Prediction Methodology
(Crack Tip Stress Intensity Factor)
 The crack tip stress intensity factor(K)
interrelates the crack geometry, the
structural geometry, and the load on the
structure
 It defines as :
β- geometric termfor structural
configuration
σ- stress applied to the structure
a- crack length
Damage Size Characterizations
 Reference Documat is JSSG-2006 .
 This approach assumes that cracks are
present in all critical locations.
 periods between inspections are greatly
influenced by the crack lengths assumed
at the beginning of a usage period.
Damage size in steps
Crack Growth-Life Curve after Second Inspection
Residual Strength
 The strength of a structure can be
significantly affected by the presence of
a crack
 The basic concept in damage tolerance
design is to ensure the safety of the
structure throughout the expected service
life.
Residual strenght curve
Residual Strength
Slow crack growth Fail-Safe
 detection of this
failure prior to total
loss of the structure
 safely within the
partial failure prior
to inspection
Residual Strength Capability
 Single Load Path Residual Strength Diagrams
Built-Up Structure Residual Strength Diagrams
 In built-up structures, due to the complex
geometrical configuration, one or more failure
criterion may have to be considered
Built-Up Structure Residual Strength Diagrams
Damage Tolerance Analysis Procedure
 Step 1. Determine the stress-intensity
factor (K) as a function of crack size for
each member
 Step 2. derive the stress history for the
location under consideration.
 Step 3. Obtain baseline crack-growth
data (da/dN as a function of ΔK and R)
for all the materials
Damage Tolerance Analysis Procedure
(continue)
 Step 4. Using
the results of
Steps, 1, 2, and
3, calculate the
crack-growth
curve for each
element
 Start with a
0.02 inch flaw
Damage Tolerance Analysis Procedure
(continue)
 Step 5. By using the results of the residual
strength analysis plot the critical crack sizes,
aDMC and aLTC
 Step 6. For slow crack growth structure
 I. whether BD is equal to or greater than 2 design lifetimes.
 II. whether CE (or C’E) is equal to or greater than ½ design
lifetime.
 Step 7. For safe fail
 I. whether AF is equal to or greater than 1 design lifetime.
 II. whether CG (or C’G) is equal to or greater than ¼
design lifetime.

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Damage tolerance analysis

  • 2. What is the root of DTA ?  fatigue is the weakening of a material caused by repeatedly applied loads.
  • 3. What happen in Fatigue ?
  • 4. What is the cast of failure ?  Physical harm to people or the environment  Loss or destruction of property or equipment  Loss of productivity or use of the failed “system” or device  Damaged reputation
  • 5. Different Fatigue Design Methodologies  Infinite Life Design  Safe-Life Design  Damage Tolerance Design
  • 6. Infinite Life Design  Unlimited safety is the oldest criterion.  For parts subjected to many millions of cycles, like engine valve springs, this is still a good design criterion.  This criterion may not be economical or practical in many design situations.  endurance limit of the material is important in this design criterion.
  • 8. Safe-life Design  Safe-life refers to the philosophy that the component or system is designed to not fail within a certain, defined period.  The benefit of safe-life designs includes reducing the likelihood of unplanned maintenance and reducing the likelihood of any failure
  • 9. Z 42 is made with safe life philosophy
  • 10. Safe life process  evaluating the highest operational stress on the component  safety factors are often applied to ensure that catastrophic failures  Comparing S-N curve  It has infinite life or limited life
  • 12. Did I forget Something again ?
  • 13.  In order to overcome this shortcoming of the safe-life approach, the methods were must developed that assume the structure contains initial cracks. Damage tolerance analysis
  • 14. Damage tolerance analysis we have category : Slow crack growth  structures are designed such that initial damage will grow at a stable, slow rate under service environment Fail-safe  structures are designed such that propagating damage is safely contained after failing a major load path by load shift to adjacent intact elements
  • 15. Slow crack growth  damage tolerance (and thus safety) is assured only by the maintenance of a slow rate of growth of damage, a residual strength capacity  sub-critical damage will either be detected at the depot or will not reach unstable dimensions within several design life times.
  • 16. Fail-safe  damage tolerance is assured by the allowance of partial structural failure  the ability to detect this failure prior to total loss of the structure  Fail Safe structure is designed and fabricated such that unstable rapid propagation will be stopped within a continuous area of the structure prior to complete failure
  • 17. Usually: • Slow Crack GrowthSingle load path • Slow Crack Growth • Fail Safe Multiple load path
  • 18. Lug Example of Slow Crack Growth Structure The lug fitting illustrated here has multiple lug ends at the pinned connection occurrence and growth of damage at a typical location (B) would render the structure inoperative.
  • 19. Wing Box Example a wing box is attached to the fuselage carry through structure by multiple fittings. A case could be made to qualify this structure as Fail Safe Multiple Load Path. if the skin was the major bending member with a design stress of sufficient magnitude to result in a relatively short critical crack length.
  • 20. Damage concept  the majority of the life is spent growing the resultant cracks to failure.  analyses of in-service fractures, cracking instances, etc. have indicated that a major source of cracks is the occurrence of initial manufacturing defects such as sharp corners, tool marks
  • 21. typical growth behavior for a crack structural element as it moves from an initial damage size to a damage size that causes structural failure • Crack increment (Δa) • number of loading events (ΔN) • critical value (acr)
  • 22. when the crack is small, it grows very slowly
  • 23. Damage growth effect Quality Note that the shape of the crack growth curve (for a given configuration and loading) remains essentially constant for any given crack growth increment. The effect of initial crack size is significant.
  • 24. Damage growth effect load history The stress history experienced at each location on the aircraft will also differ due to changes in bending moment, twisting moment, shear loading. The loading spectra for a lower surface location is typically more severe than a corresponding upper surface location.
  • 25. Damage growth effect material properties The crack growth rate (Δa/ΔN) can be derived experimentally for each material the alloy having the slower growth rate characteristics (i.e. 2024-T3) will have a longer life
  • 26. Damage growth effect Structural Properties The most complex of the parameters affecting crack growth behaviorare the structural properties.
  • 27. Life Prediction Methodology (Initial Flaw Distribution) For predictions of safety limits, the initial cracks larger than detectability limit are of principal concern.
  • 28. (Initial Flaw Distribution)  NDT ( nondestructive inspection )
  • 29. Life Prediction Methodology (Usage) The sum of the load levels that a structure is expected to experience is determined by a projection of the amount of usage expected over the life in the various possible missions
  • 31. Life Prediction Methodology (material properties) Crack growth data are generated in the laboratory under constant cyclic loading on simple specimens with accepted characterizing stress intensity factors.
  • 32. Life Prediction Methodology (Crack Tip Stress Intensity Factor)  The crack tip stress intensity factor(K) interrelates the crack geometry, the structural geometry, and the load on the structure  It defines as : β- geometric termfor structural configuration σ- stress applied to the structure a- crack length
  • 33. Damage Size Characterizations  Reference Documat is JSSG-2006 .  This approach assumes that cracks are present in all critical locations.  periods between inspections are greatly influenced by the crack lengths assumed at the beginning of a usage period.
  • 34. Damage size in steps
  • 35. Crack Growth-Life Curve after Second Inspection
  • 36. Residual Strength  The strength of a structure can be significantly affected by the presence of a crack  The basic concept in damage tolerance design is to ensure the safety of the structure throughout the expected service life.
  • 38. Residual Strength Slow crack growth Fail-Safe  detection of this failure prior to total loss of the structure  safely within the partial failure prior to inspection
  • 39. Residual Strength Capability  Single Load Path Residual Strength Diagrams
  • 40. Built-Up Structure Residual Strength Diagrams  In built-up structures, due to the complex geometrical configuration, one or more failure criterion may have to be considered
  • 41. Built-Up Structure Residual Strength Diagrams
  • 42. Damage Tolerance Analysis Procedure  Step 1. Determine the stress-intensity factor (K) as a function of crack size for each member  Step 2. derive the stress history for the location under consideration.  Step 3. Obtain baseline crack-growth data (da/dN as a function of ΔK and R) for all the materials
  • 43. Damage Tolerance Analysis Procedure (continue)  Step 4. Using the results of Steps, 1, 2, and 3, calculate the crack-growth curve for each element  Start with a 0.02 inch flaw
  • 44. Damage Tolerance Analysis Procedure (continue)  Step 5. By using the results of the residual strength analysis plot the critical crack sizes, aDMC and aLTC  Step 6. For slow crack growth structure  I. whether BD is equal to or greater than 2 design lifetimes.  II. whether CE (or C’E) is equal to or greater than ½ design lifetime.  Step 7. For safe fail  I. whether AF is equal to or greater than 1 design lifetime.  II. whether CG (or C’G) is equal to or greater than ¼ design lifetime.