Online proceedings - EDA Publishing Association
Online proceedings - EDA Publishing Association
Online proceedings - EDA Publishing Association
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7-9 October 2009, Leuven, Belgium<br />
electromagnetic actuator (B) is connected to modulate driving<br />
DC-Mean value (M)<br />
force. The point of force application is variable, so that a scaling of<br />
force is adjustable from 1 / 10 to 1 / 3.<br />
The driving force can be measured with a load cell placed in the<br />
load path and also by measuring the electrical current of actuator.<br />
30 µm<br />
To measure the strain amplitude directly at the sample a<br />
1 mm<br />
displacement transducer (C) is placed.. With this setup it is possible<br />
to load the sample (A) mechanically and observe the specimen by<br />
IR-camera (E) at a narrow working distance of about 20 mm. An<br />
external PC controls and measures all important values. Both force<br />
and displacement controlled experiments can be conducted.<br />
120 µm<br />
Dynamic loads (triangular, sinusoidal and pulsed) with frequencies<br />
1 mm<br />
up to 5 Hz and forces to 450 N on the sample can be realized.<br />
So it is possible to build a cost burden system.<br />
In a laser safety enclosure this design enables crack tracing by<br />
means of laser pulse excitation.<br />
150 µm<br />
II. EXPERIMANEL RESULTS<br />
Loading amplitude<br />
1 mm<br />
Phase image(P)<br />
1 mm<br />
1 mm<br />
1 mm<br />
In an initial investigation CT-specimen of PMMA were loaded<br />
sinusoidal, with different amplitudes (30, 120, 150 and 250<br />
microns) at a frequency of 0.5 Hz. In figure 4 the observed<br />
(correlation of reference signal and image signal) uniform surface<br />
cooling at the notch groove is shown. There are blue to white areas<br />
of cooling and red to bright yellow areas of warming. The result is<br />
similar in quality as the estimation given in figure 1 (right).<br />
250 µm<br />
1 mm<br />
1 mm<br />
Fig. 5 Phase images and DC-mean value image for different loadings<br />
Figure 5 shows a summarized comparison of results of initial<br />
investigation. The load amplitude was varied from top to bottom<br />
(30 ... 250 microns). The respective left-hand images show the DC<br />
average images. They show qualitatively similar results except of<br />
the smallest load amplitude. Lower DC values are founded with<br />
increasing load. This is expected<br />
by increasing the stresses (σ 1 , σ<br />
2 , σ 3 ) and consequently an improved cooling too. Much more<br />
sensitive are the phase images shown on the right. They are from+<br />
π to - π (3.12 ...- 3.13). Negativee values mean a lagging signal with<br />
respect to the reference signal (here, the sinusoidal stress<br />
amplitude). This behavior is by<br />
equation (1) expected. In tensile<br />
(positive reference signal is the sum of principal stress is positive<br />
and thus results in a negative Δ T. This means a negative surface<br />
signal. Both signals are phase-shifted by 180 ° (-π). This<br />
relationship is clearly seen in the<br />
diagram in Figure 6.<br />
Fig. 4 CT-specimen of PMMA loaded with 30 µm<br />
(without pre crack)<br />
To increase the stress concentration a crack<br />
was introduced with<br />
an industrial razor blade. Taking into account the resulting pixel<br />
resolution of approximately 5.2 microns / pixel of IR-images<br />
a ~ 420 microns crack length can estimate.<br />
surface signal<br />
6450<br />
6440<br />
6430<br />
6420<br />
6410<br />
6400<br />
0,04<br />
0,02<br />
0,00<br />
reference signal<br />
6390<br />
0 100 200<br />
index<br />
300 400 500<br />
of image<br />
Fig. 6 Phase shift between reference signal (displacement transducer)<br />
and surface signal (250 µm load amplitude)<br />
©<strong>EDA</strong> <strong>Publishing</strong>/THERMINIC 2009 93<br />
ISBN: 978-2-35500-010-2