These speckles can be unwanted (for example, if a clear
image of the object is required), but they also carry important information
that can be used for measuring purposes (Jones and Wykes, 1989).
In principle, the speckle image is akin
to a fingerprint of the object surface. It includes information about
the position and contour of the surface in encoded form. It is difficult
to derive this information from the speckle image directly, but we can
use it to measure displacements and deformations.
Laser Speckle Correlation
If the object in Figure 1 is
moved laterally to the camera position, the speckles will move in the
image accordingly. Therefore, if we take an image in the nondeformed
state of the object and one in the deformed state and manage to find
the new position of the speckle pattern, we know the lateral displacement
of the object. This can be automatically done by an image correlation
calculation between the two images (Sutton et al., 2000).
In practical applications, however, the object will normally
not only move, but also distort, causing the speckle pattern to change
as well. This will result in speckle patterns according to Figure
2. The magnification of the complete speckle pattern of the object
(top) shows the detailed speckle distribution in the nondeformed state
(bottom left). After applying the load, the correlation algorithm will
detect the new position of the speckle pattern, which is dislocated
and distorted (bottom right). In this way, we receive the information
both about the lateral displacement and the distortion respective of
the strain on the surface. Since this procedure is done automatically
for the complete image, we receive a complete map of displacements and
strains with this technique.
Of course, knowing the exact camera magnification is necessary
to receive accurate information about the object deformation. Therefore,
prior to deformation measurement, the magnification has to be measured,
typically by using calibration boards with precision markings. The accuracy
of this technique is basically determined by the number of pixels of
the camera and the size of the object being measured. In practice, we
can assume an accuracy of around 1 to 10 µm (3.9 ¥ 10-5 to
3.9 ¥ 10-4 in.) for object sizes from 0.1 m to 1 m (3.9 to 39.4
in.) in diameter. In terms of strains, strain rates of 100 µm/m
(1.2 x 10-3 in./ft) can be resolved.
Figure 3 shows
an example of a dog bone test of a small specimen of aluminum alloy
(Herbst et al., 2003). In Figure 3a, the original speckle image in the
nondeformed state is seen. The specimen was pulled in the vertical direction
and a series of images was recorded up to fracture. The images were
analyzed, showing the displacements and strains of each surface point
at each load step. Figure 3b shows the strain distribution at maximum
load just before fracture. As the series of images was recorded, the
evolution of the strains in comparison to the applied force can also
be deducted for every surface point. For example, Figures 3c and 3d
show the evolution of the longitudinal and transverse strains at point
A, the fracture point.
In comparison to classical strain gage techniques, the
advantage of such a technique is obvious. Full-field digital laser correlation
can deliver a complete set of information at the same time, including
- amplitude of longitudinal and transverse strain at every load
level (this also allows the determination of the poisson ratio)
- average strain and peak strain
- point of maximum strain/point of fracture (this is important in
fracture tests, where the position of the later fracture is not
known in advance).
It should be mentioned that digital laser correlation
leads to significant amounts of data, which typically cannot be processed
online. Therefore, the results of the measurement are typically analyzed
in a separate process. Also, accuracy of digital laser correlation cannot
yet reach the accuracy of classical strain gage measurements. However,
as camera resolution and computer processor power increase, both limitations
should be overcome in the future.
Laser Speckle Interferometry Laser speckle interferometry
(whether electronic speckle pattern interferometry [ESPI] or digital
speckle pattern interferometry [DSPI]) also uses the laser light that
is scattered back from a surface. However, in comparison with laser
correlation, the speckle pattern is superimposed with a second light
wave, producing an interference pattern (Yang and Ettemeyer, 2003).
In the optical setup in Figure
4a, the laser beam is split into different directions, forming several
laser illumination beams and a reference beam. Combining different pairs
of such laser beams and recording an image at both the nondeformed and
deformed state, this setup can measure the out-of-plane component of
the deformation as well as its in-plane component.
For example, the bending of a circumferentially fixed
plate will produce an out-of-plane deformation according to Figure
4b. The image in the top right shows the deformation as lines of
constant amplitude, which are automatically demodulated to the deformation
image at bottom right. The amplitude difference between a pair of fringes
is a fraction of the laser wavelength. Consequently, the accuracy of
ESPI measurement can reach 30 to 50 nm in practical applications: little
more than a millionth of an inch!
Using the different laser illumination directions of the
ESPI setup, this system can obtain full three-dimensional deformation
information. The example in Figure
5 shows a steel sheet with a central hole, which is pulled by the
testing machine. The ESPI system with the camera in the center is looking
at the test piece and the four illumination directions allow the measurement
of the two in-plane components in the x and y direction and the out-of-plane
component in the z direction. The image on the monitor in the background
shows the strain distribution on the surface of the specimen. The colors
indicate the amplitude of the longitudinal strain, showing the strain
concentration around the hole and under 45 degrees to the tensile direction.
The advantage of this technique is the high sensitivity
in combination with the complete 3D measuring information on the whole
measuring surface. In comparison with digital laser correlation, ESPI
is typically 10 times more sensitive. This enables quantitative measurements
at small strain levels (above 10 microstrains). Practical applications
can range from small objects of less than 1 mm (0.04 in.) in diameter
up to larger objects several hundred millimeters (a couple feet or so)
in length.
Figure 6 shows
the results of a tensile test of a composite structure made from carbon
fiber reinforced plastics (Schubach et al., 2001). The longitudinal
strain distribution is measured on the whole surface. Additionally,
the displacement fields show local disturbances well before fracture
of the sample (indicated by the arrows).
Three-dimensional ESPI has successfully been used in component
tests, fatigue investigations, analysis of thermal expansion, deformation,
strain/stress, residual strain/stress and vibration, and in nondestructive
testing (NDT) applications. The technique can also be used for measuring
the shape of the test object, opening up the possibility of measuring
3D displacements and strains on curved surfaces, such as in component
testing (Ettemeyer et al., 1997; Pedrini and Tiziani, 1994; Wegner et
al., 2001).
An example for a dynamic application of ESPI is a car
disk brake, vibrating at 1.890 Hz (Figure
7; Krupka et al., 2003). The ESPI system is triggered according
to the vibration frequency and records the vibration amplitude at every
point of the disk. The advantage of this application is the noncontact
and full-field nature of the measurement, which avoids the application
of many accelerometers. Also, the application is very fast and shows
the complete vibration mode, no matter its complexity.
When compared, ESPI and laser speckle correlation offer
similar information (Ettemeyer, 2004). Due to its higher resolution,
ESPI can resolve smaller strain levels, but on the other hand ESPI is
also more sensitive to environmental disturbances, such as unwanted
vibrations. Also the application of ESPI is limited to areas up to 90
000 mm2 (139.5 in.2), while laser speckle correlation shows basically
no limitation in size.
Shearography
Digital shearography has been developed especially for nondestructive
testing purposes (Yang et al., 1995). Again, the object is illuminated
by a laser wave and recorded by a camera (Figure
8a). However, before the image reaches the camera, it is doubled,
laterally sheared and superposed on the camera. Therefore, we achieve
a double image of the object. The outcome of this effect is that shearography
measures (as with ESPI) the out-of-plane deformation of the object.
However, because surface points with a lateral distance of x? are superimposed,
the relative deformation between neighboring object points is obtained.
This is, mathematically speaking, the deformation gradient.
In comparison, the deformation of the same plate as in
Figure 4b now shows the deformation
gradient (Figure 8b). This
effect has an important advantage: while still measuring the deformation
with the same sensitivity (30 to 50 nm), shearography will not record
rigid body displacements. Consequently, its sensitivity towards environmental
influences such as unwanted vibrations is significantly reduced, making
shearography a practical tool for the work floor. At the same time,
the deformation gradient is a much clearer signal for local inhomogenities
(those caused by delaminations, voids and cracks in components rather
than the deformation itself). Consequently, shearography is mostly used
for NDT applications.
For example, if a composite structure is loaded by heat
or mechanical stress, the surface layers will deform in the presence
of a local disbond (Figure 9a).
As shearography shows the gradient of the displacement in the shear
direction, the result of a typical delamination will be a butterfly
pattern. In Figure 9b, a composite
panel with delaminations of different sizes was tested by shearography.
In order to detect discontinuities, an appropriate loading
technique is required. Due to the high sensitivity of shearography,
the applied load is very small. In the past, the following techniques
have proved to be efficient for shearographic testing:
- heating (a difference of a few kelvin [several degrees fahrenheit]
can be enough to cause a deformation of a debonded surface)
- vacuum (either in stationary vacuum chambers or with portable
vacuum hoods, which stick to the testing surface and cause a little
mechanical stress on the surface)
- vibration (typically with piezo shakers, which excite the structure
in the test area - the frequency is sweeped, causing significant
surface vibrations, if a resonance is hit)
- mechnical stress.
Shearography can be used in automatic testing systems
as well as in portable systems for field testing. For example, a fully
automatic helicopter rotor blade testing system has been developed by
Erne et al. (1999). The rotor blades are positioned in a vacuum chamber
and loaded with a vacuum of under 100 mbar while two shearography cameras
scan the complete blade. The complete test cycle including loading of
the blade takes less than 15 min and all delaminations larger than 15
mm (0.6 in.) in diameter are recorded.
For field testing, a portable shearographic system can
be used on a mobile tripod. Loading can be applied by heating with a
halogen lamp (Walz et al., 2003) or by mechanical stress. Such tests
require minimum preparation and still deliver very precise information
about the state of the component.
The main advantage of shearography is its high test efficiency.
The high test speed (up to 1 m2/min [10.8 ft2/min]) and a high reliability
of finding all discontinuities within the tested area (full-field technique)
make it an interesting testing technique. It is best suited to detect
delaminations of composite structures close to the surface. Nowadays
shearography is mainly used in aerospace applications, but it is also
used on marine structures and other transportation industries are starting
to investigate the application of this technique.
Conclusion
Laser NDT techniques have proven to be a valuable and efficient tool
for solving complex mechanical problems. They are also useful for standard
applications, such as material testing, fracture investigations, strain/stress
analysis, vibration and acoustics, and NDT of composite components in
the aerospace, marine and automotive industries. The full-field information
provided by these techniques gives maximum safety and test speed. These
data fit perfectly with modern 3D simulation tools, which produce exactly
the same results.
The simplicity of operation in combination with the development
of interfaces to standard applications will further increase the number
of applications of these techniques in the future.
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