Guest Technical Editor: This "Back to
Basics" article provides valuable insight into the role of NDT in
damage tolerance methods for aircraft life management. To be
accepted, new NDT solutions, including the embedded sensors for
structural health monitoring addressed in this special issue, must
offer either cost reduction or improved safety.
The damage tolerance philosophy developed
jointly by the US Air Force and a number of US aircraft
manufacturers in the late 1960s and early 1970s has been
tremendously successful in mitigating structural failures due to
fatigue in both military and commercial aircraft designed and built
since that time. As described by the US Department of Defense
(1996a), this philosophy is applied over the entire life cycle of
the airframe, beginning with the design phase and continuing
throughout the operational deployment phase. In each life cycle
phase, nondestructive testing (NDT) plays a critical role in
implementing damage tolerance requirements and imposing damage
tolerance control. As we shall see below, any new developments in
NDT capability, reliability and cost can have a significant effect
on the cost and effectiveness of maintaining aircraft structural
integrity.
The Damage Tolerance Approach to Structural
Integrity
US Department of Defense damage tolerance
guidelines (1996b) state that cracklike discontinuities must be
assumed to exist in all critical elements of a structure at the time
that that structure enters service. For a given structural element,
the discontinuity is assumed to be in the most critical (highly
stressed) area and in the most critical orientation. The guidelines
go on to state that these discontinuities will not grow to a size
sufficient to cause failure within a specified interval of time in a
specified operational environment. Measures can be taken in at least
three broad areas in order to meet the very stringent requirements
of the guidelines: care must be taken during detail design to keep
operating stresses low and to minimize or avoid sharp stress
raisers; materials must be selected based on their ability to resist
cracking; and NDT procedures must be developed and consistently
applied, both during initial certification and for subsequent
periodic tests. This third step is a crucial part of structural
integrity assurance; it establishes a critical parameter in damage
tolerance analysis - the assumed initial crack size. From a damage
tolerance certification point of view, the smaller the assumed
initial crack size, the longer the fatigue crack growth life will
be. However, this value can be no smaller than the minimum size that
can be reliably detected by NDT.
Improvements in NDT capability can have
significant, beneficial effects on the cost of fracture control.
Discontinuity Types and Distributions
As shown in Figure 1, in any given structural component, up to three
types of discontinuities, each with its own size or number distribution,
will exist (Gallagher et al., 1984). The first type consists of intrinsic
material discontinuities. These discontinuities are the result of the
material production process (alloying, heat treating, forming and so
on) and include porosity, microcracks, inclusions and surface pits.
One of the ways that damage tolerance principles can be applied during
the design phase is through the development and selection of materials
for which this discontinuity distribution is minimized. These discontinuities
are generally below the typical NDT detection capability and the structural
element should be sized such that the upper bound of the distribution
ao will not grow appreciably during design service
usage. This maximum intrinsic discontinuity
size effectively defines the initial discontinuity size for continuing
damage analysis as described below. It may also serve as the basis for
the initial sizing of multisite damage cracks, required for widespread
fatigue damage analysis.

Figure 1 - Discontinuity
distributions and limiting sizes used in fracture control (Walker
et al., 1979).
The second group of discontinuities consists
of those that are introduced during fabrication (machining,
assembly, finishing and so on). These include machining marks,
scratches or any type of damage that could produce a cracklike
discontinuity. Some portion of these discontinuities will be large
enough to be detected by NDT. They will also be large enough to grow
appreciably in the design operating environment. So again, damage
tolerance requirements are imposed, this time during the
manufacturing phase, by performing detailed nondestructive testing
of the critical regions of all fracture critical parts. A great deal
of attention is given to establishing the maximum size of a
discontinuity that could escape detection during fabrication and
thus exist in a structural component at the time that the vehicle
enters service. This discontinuity size is designated ai and serves
as the initial crack size for the fatigue crack growth analyses
which are used to estimate the service life or required test
intervals for the component.
Discontinuities that are formed in service
make up the third group. These include cracks formed by fatigue,
corrosion and impact damage. These discontinuities are also large
enough to grow in service and must be guarded against. Damage
tolerance requirements are imposed during the operational phase by
requiring that cracks (both fabrication and service induced) do not
grow to a critical size within a specified period of time (either
the design service life or the required test interval). The largest
discontinuity that could remain undetected after an inservice test
is designated as. This value is generally larger than
ai because the
test is done on an assembled structure; to one extent or another,
fasteners, surrounding structure, coatings and so on will degrade
the efficacy of any given NDT technique.
Summary of Requirements
Obviously, single values cannot be defined for ai and
as; they are dependent on a large number of factors, some of
which are not well controlled. These factors range from structure
type and accessibility of critical location to test method
(ultrasonic, eddy current, dye penetrant and so on), to the
environment in which the test must take place to the experience
level of the inspector. Nonetheless, a value must be chosen for use
in damage tolerance certification analyses. This problem has been
resolved by defining ai and as on the basis of probability of
detection and confidence limits. The probability of detection is a
function of crack length; its value (for a given crack length) is
defined as the proportion of correct measurements by a given NDT
system with a representative operator for a number of structural
elements in a defined environment. This determination requires that
a statistical analysis of a large number of controlled tests be
performed.
Definition of the probability of detection
does not take into account some of the variability that will be
experienced on the factory floor or in the field. As a result,
another statistically based measure, which accounts for these
uncertainties (uncertainties that are not intrinsic to the test
technique itself, such as the test environment or the ability of the
inspector), is defined. This measure is referred to as the
confidence limit. While it is clearly not possible to have 100%
probability of detection with 100% confidence, it is desirable to
set these requirements as high as is economically feasible in order
to improve the odds of safe operation during the required service
life or test interval. The values that were eventually agreed upon
during the development of the damage tolerance requirements were 90%
probability of detection with a 95% confidence limit.
Specifying an ai or as
value based on a required probability of detection/confidence limit
is still too cumbersome, however, for design or fleet management use.
Instead, the aircraft structural specification (US Department of Defense,
1996b) segregates all fracture controlled structures into three categories
and then provides specific initial crack sizes for typical geometric
details in each category. In all cases, the ai or
as assigned to any given structural category or detail
type will satisfy the 90/95 probability of detection/confidence limit
requirement. The first of the three structural categories is designated
as "slow crack growth." This includes structures that are unable to
be tested or that can only be tested at the depot with component removal.
The second category is "fail safe, multiple load path," which refers
to structures having multiple elements carrying a primary load but which
are joined directly to each other, thus making it possible for cracks
to grow from one element into the next. The last category is referred
to as "fail safe crack arrest." This too is a multiple load path structure,
but includes intermediate structural elements that prevent cracks from
growing from one primary load carrying member into an adjacent one.
A summary of the required initial crack sizes for primary cracks is
given in Table 1. Similar guidelines are given in the JSGS-87221
Handbook (1996b) for secondary cracks and for inservice tests.
| Table
1 Initial size assumptions for primary discontinuities |
| Category |
Critical Detail |
Intitial Discontinuity
Size Assumption* |
| Slow crack
growth and fail safe primary element |
holes, cutouts
and so on |
for thickness
≤ 1.3
mm (0.05 in.); through thickness with ci
= 1.3 mm (0.05 in.) |
|
|
for thickness
> 1.3
mm (0.05 in.); quarter circular corner with ci
= 1.3 mm (0.05 in.) |
|
other |
for thickness
≤ 3.2
mm (0.125 in.); through thickness with 2ci
= 6.4 mm (0.25 in.) |
|
|
for thickness
> 3.2
mm (0.125 in.); semicircular thickness with ci
= 3.2 mm (0.125 in.) |
|
components
with embedded discontinuities |
to be determined
based on NDT capability |
|
welded componentst |
to be determined
based on NDT capability |
| Fail safe
multimode path (adjacent structure) |
holes, cutouts
and so on |
for thickness
≤ 1.3
mm (0.05 in.); through thickness with ci
= 0.05 + Δc± |
|
|
for thickness
> 1.3
mm (0.05 in.); quarter circular corner with ci
= 0.05 + Δc± |
|
other |
for thickness
≤ 3.2
mm (0.125 in.); through thickness with 2ci
= 0.25 + 2Δc± |
|
|
for thickness
>
3.2
mm (0.125 in.); semicircular surface with ci
= 0.125 + Δc± |
| Fail safe
crack arrest (adjacent structure) |
skin stringer
or skin frame |
ci
extends across two panels (bays); central stringer (frame) broken |
|
skin stringer
or skin frame with tear straps |
ci
extends between tear straps (bays); central stringer (frame)
broken |
|
holes, cutouts
and so on other |
quarter
circular corner with ci=0.005 + Δc± semicircular
surface with ci = 0.01 + Δc± |
|
| * |
discontinuity
oriented in most critical direction |
| t |
discontinuity
assumed in both weld material and in heat affected zone
of parent material |
| ± |
Δc
is
the growth of the indicated discontinuity between time that
part enters service and time of primary element failure |
|
Secondary cracks are cracks that grow under
the same load and in the same region as a primary crack; they must
be considered in the event that termination of the growth of the
primary crack does not coincide with total element failure. The
assumed initial size for secondary cracks is based on the maximum
intrinsic material discontinuity size ao discussed above.
Historically, the analysis of secondary cracking has been performed
in the context of "continuing damage." That is, the analysis is
performed subsequent to, and is decoupled from, the primary crack
growth analysis. In recent years, however, improved understanding of
a group of phenomena collectively known as widespread fatigue damage
has shown that the presence of secondary cracking can seriously
degrade residual strength capability (Advisory Group for Aerospace
Research and Development, 1995). This premature residual strength
loss can only be captured analytically if the secondary cracks are
considered in the primary (lead) crack analysis.
Effect of Improved NDT Capability
For military aircraft production and
operations, there are very substantial costs associated with damage
tolerance (fracture) control. During the design phase, significantly
more analysis is done on fracture critical parts than on noncritical
ones. During manufacturing quality control, traceability
requirements are significantly more stringent and during operational
usage tests are often more frequent. Given the role that NDT plays
in establishing the initial discontinuity sizes used for damage
tolerance analyses, there is a very real link between test
capability and cost of acquisition and operation of any given
aircraft which must meet damage tolerance requirements.
For a given critical location in a given structural
element for a specified loading environment, a fatigue crack growth
analysis will be used to determine both the initial test interval and
the subsequent inservice test intervals. As shown in Figure 2, if the
total calculated fatigue crack growth life from ai
is Na, then the first required test must take place
at or before t = Na/2. The factor of 1/2 arises because
there is a standard, mandated safety factor of two on life. Note that
if Na/2 is greater than the design service life, then
no testing will be required. All subsequent test intervals are based
on the crack growth analysis from the larger starting crack size as.
As a result, the subsequent test intervals Nb/2 are
shorter.
The first effect assessment that we will consider
is in the area of in service testing. These tests are the most difficult
because they are conducted in the depot, at best, and at worst, in the
field. As mentioned above, access to many critical areas can be limited
or even nonexistent. Using the type of analysis shown in Figure 2, we
may project what effect advancements in inservice NDT capability might
have on the test schedule for a fracture controlled part.
Figure 2 - Definition of initial and inservice
test intervals based on as fabricated and inservice initial crack
sizes.
We begin with a baseline analysis in which as
> ai, for example, ai
= 1.3 mm (0.05 in.) and as = 2.5 mm (0.1 in.); the
resulting test schedule is shown in Figure 3. In this case, the component
must be tested four times in order to achieve the required design life.
If, however, advancements in NDT capability were to be made which would
allow as to approach ai, at least
one test could be eliminated (see Figure 4). Assuming that cost per
test remains flat over time, this would translate into a 25% cost savings.
Figure 3 - Test schedule for damage
tolerance critical part with as>ai.

Figure 4 - Test schedule
for damage tolerance critical part with as=ai.
Figure 5 - Test schedule
for damage tolerance critical part with ai<<as.
Another area of NDT capability that can have a significant
effect on damage tolerance certification is that done as a part of quality
assurance in the factory. For fracture critical parts, this capability
defines the maximum crack size that will go undetected in as fabricated
structure ai. If we again use the analysis shown in
Figure 3 as a baseline, we can assess the effect that improvements in
in-factory NDT capability will have. The results shown in Figure 5 show
the calculated test schedule for the case where ai
has been reduced to 0.2 mm (0.01 in.). In this example, a rather dramatic
reduction in test requirements and in associated fleet maintenance cost
is projected. This scenario is in fact accommodated in the JSGS-87221
aircraft structures specification (US Department of Defense, 1996b)
- if the aircraft manufacturer can demonstrate the ability to detect
discontinuities which are smaller than those specified in Table 1 with
95/90 probability of detection/confident limit, then it is permitted
to use those lower values for damage tolerance certification analyses.
This accommodation is typically only made at a specific critical location
or small sets of related locations.
Conclusion
Nondestructive testing is a cornerstone of the
aircraft damage tolerance certification and control processes. While
it is clear that the success of these processes in preventing
aircraft structural failure is a testament, in part, to just how
capable today's NDT technologies are, it is also clear that there
are vast opportunities for improvement. A very useful discussion of
critical needs for management of aging US Air Force aircraft, along
with candidate NDT technologies and recommendations for research,
was given in a report on aging US Air Force aircraft by the National
Research Council (1997). Improvements in NDT capability can have
significant, beneficial effects on the cost of fracture control.
What is even more important than the economic benefit, though, is
the reduced risk of structural failure, which for most aircraft
translates directly into reduced risk of loss of life.
References
Advisory Group for Aerospace Research and
Development, Report AGARD-CP-568, Widespread Fatigue Damage in
Military Aircraft, Proceedings of the 80th Meeting of AGARD
Structures and Materials Panel, Neuilly-Sur-Seine, France, 1995.
Gallagher, J.P., F.J. Giessler, A.P. Berens
and R.M. Engle, Jr., AFWAL-TR-82-3073, USAF Damage Tolerant Design
Handbook, Wright-Patterson AFB, Ohio, Air Force Wright Aeronautical
Labs, May 1984.
National Research Council, NMAB-488-2, Aging
of U.S. Air Force Aircraft, Washington, DC, National Materials
Advisory Board, National Research Council, Committee on Aging of US
Air Force Aircraft, 1997.
US Department of Defense, MIL-HDBK-1530,
General Guidelines for Aircraft Structural Integrity Program,
Washington, DC, US Department of Defense, 1996a.
US Department of Defense, JSGS-87221, Aircraft
Structures, General Specification for and Handbook, Washington, DC,
US Department of Defense, 1996b.
Walker, E.K., J.C. Ekvall and J.E. Rhodes,
"Design for Continuing Structural Integrity," Journal of
Engineering Materials and Technology, Transactions of ASME, Vol.
102, 1980, pp. 32-39.
* Lockheed Martin Aeronautics Company, 1
Lockheed Blvd., PO Box 748, MZ 8862, Ft. Worth, TX 76101; (817)
935-5902; e-mail <dale.l.ball@lmco.com>.
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2003 by the American Society for Nondestructive Testing, Inc. All
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