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Residual Strength and Fatigue Lifetime of ... - Solid Mechanics

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insensitivity <strong>of</strong> the mode-mixity to the debond diameter. The low mode-mixity phase angle<br />

illustrates the mode I dominant loading at the crack tip.<br />

The fatigue crack propagation simulation was carried out on the s<strong>and</strong>wich panels for 100000<br />

cycles. Because <strong>of</strong> similar material <strong>and</strong> interface properties the crack growth rates vs. the energy<br />

release rate relations determined in the previous section were used for the simulations. To choose<br />

the appropriate <strong>and</strong> most effective control parameter values in the cycle jump routine,<br />

simulations with different control parameters were carried out. Figure 5.47 shows the debond<br />

diameter vs. cycles for five different control parameters qG=q=0.4, 0.45, 0.5, 0.75 <strong>and</strong> 1. It is<br />

seen that the results <strong>of</strong> the simulations with the control parameters qG=q= 1 <strong>and</strong> 0.75 are very<br />

different due to large <strong>and</strong> inaccurate jumps, but decreasing the control parameter to 0.5 <strong>and</strong> 0.4<br />

leads to converging results <strong>and</strong> the deviation becomes smaller. Based on the results presented in<br />

Figure 5.47 the control parameter qG=q=0.4 was chosen for the simulation <strong>of</strong> debond growth in<br />

the tested s<strong>and</strong>wich panels.<br />

Diameter (mm)<br />

150<br />

140<br />

130<br />

120<br />

110<br />

q=qG=0.75 q=qG=1<br />

100<br />

q=qG=0.5<br />

q=qG=0.4<br />

q=qG=0.45<br />

0 20000 40000 60000 80000 100000<br />

Cycle<br />

Figure 5.47: The effect <strong>of</strong> the control parameter on the simulation <strong>of</strong> the debonded panels.<br />

Simulation results for the debond diameter vs. cycles using the control parameters qG=q=0.4 are<br />

shown together with the experimental results in Figure 5.48. The accuracy <strong>of</strong> the simulation is<br />

less compared to that <strong>of</strong> the STT specimen simulations presented in the previous sections in this<br />

chapter. Nevertheless, the deviation in the final debond diameter after 100000 cycles between the<br />

simulation <strong>and</strong> the experiments is less than 5 mm. The maximum deviation <strong>of</strong> approximately 7<br />

mm occurs around 70000 cycles. This inaccuracy can be attributed to the uncertainties in the<br />

debond diameter measurement using the DIC system during the experiments, as well as the<br />

observed scatter in the input crack growth rates data.<br />

123

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