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Fatigue behaviour of composite tubes under multiaxial loading

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274<br />

Fifth International Conference on <strong>Fatigue</strong> <strong>of</strong> Composites<br />

two plies by inserting a Teflon sheet <strong>of</strong> thickness <strong>of</strong> 25m. Four delamination cases are considered,<br />

which are [010//906/906/010], [010/906//906/010], [012//04/04/012] and [012/04//04/012], where the symbol “//”<br />

denotes the position <strong>of</strong> delamination along the through-thickness direction. The distance from the right<br />

end <strong>of</strong> the delamination to the right end <strong>of</strong> beam is 200 mm. In our experiments, three kinds <strong>of</strong><br />

delamination lengths are employed, i.e., 30 mm, 20 mm and 10 mm, respectively. A circular PZT<br />

actuator (Fujiceramics, C6) is attached on the top surface <strong>of</strong> the left end <strong>of</strong> beam using a kind <strong>of</strong> very<br />

strong adhesive. In this case, the generated waves from the actuator merge into the reflected waves from<br />

the left end <strong>of</strong> beam directly, and the complex reflection pattern from both ends <strong>of</strong> the beam can be<br />

avoided. A same PZT sensor is attached on the top surface <strong>of</strong> the beam between the delamination and<br />

the actuator to pick up the reflected wave from the delamination. The diameter <strong>of</strong> PZT sensor and<br />

actuator is 10 mm and the thickness is 0.5 mm. Its material properties are: E11=62 GPa, E33=49 GPa,<br />

d33=472 pC/N, and d31=-210 pC/N. A PCI board <strong>of</strong> wave signal generation (National Instruments, NI<br />

PCI-5411) is used to generate the wave signal, which is amplified by an amplifier<br />

z<br />

Fig. 1. Schematic view <strong>of</strong> delaminated beam ([010//906/906/010]) with actuator and sensor (S0 mode).<br />

Table 1. Material properties <strong>of</strong> CFRP beams<br />

E [GPa] G [GPa] [kg/m 3 ]<br />

E11=115<br />

E22=E33=9<br />

G12=G23=G13=3<br />

12=13=0.3<br />

23=0.45<br />

(Krohn-Hite, Model-7500). After the signal is received by the sensor, it is amplified by a charge<br />

amplifier (FEMTO, DLPCA-200), and then sent into an oscilloscope (Tektronix, TDS3034B) for<br />

analysis. Finally, the obtained data from the oscilloscope are processed in a computer. By employing<br />

Hanning window, a signal <strong>of</strong> 5 cycles and 100 kHz is generated by applying 50 V voltage on the<br />

actuator as follows,<br />

Actuator アクチュエータ(PZT) (PZT) Sensor センサ(P (PZT) ZT) Delamination 擬似はく離(10/11層目)<br />

between<br />

10 th and 11 th plies<br />

x<br />

1005m m mmm<br />

455<br />

320<br />

1600<br />

0.5[1<br />

-cos(2 ft / N)]sin(2 ft), t N / f<br />

Pt () = <br />

<br />

0, t N / f<br />

4.8<br />

z<br />

where f is the central frequency in Hz and N is the number <strong>of</strong> sinusoidal cycles within a pulse.<br />

Here, the propagation speed <strong>of</strong> S0 Lamb mode is much higher than that <strong>of</strong> A0 Lamb mode, e.g.,<br />

around 4 times higher in our case. For instance, in our experimental results, before the arrival <strong>of</strong><br />

incident A0 Lamb mode at the sensor from the left to the right, the reflected S0 modes from the<br />

delamination and the right end <strong>of</strong> beam, which travel from the right to the left, already arrive at the<br />

30<br />

200<br />

10<br />

y<br />

(1)

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