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

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Figure 5.27: <strong>Fatigue</strong> crack growth path for H45 <strong>and</strong> H100 MMB specimens.<br />

The fatigue crack growth rates data are plotted against the energy release rate (G) obtained<br />

from the finite element analysis in Figure 5.28. As it was mentioned earlier, due to large-scale<br />

fibre bridging in the H250/GFRP interface, linear elastic fracture mechanics is not valid <strong>and</strong> no<br />

measurements were conducted for this interface. In the Paris regime, which corresponds to stable<br />

crack growth <strong>and</strong> exhibits a linear relation between the crack growth rates <strong>and</strong> the energy release<br />

rates, the crack growth rates can be written as a modification <strong>of</strong> the traditional Paris Law:<br />

<br />

<br />

Crack path underneath the face/core<br />

interface for typical H45 MMB specimens<br />

Crack path underneath the face/core<br />

interface for typical H100 MMB specimens<br />

109<br />

( 5.5)<br />

where m is the slope <strong>of</strong> the curve <strong>and</strong> G is the difference between maximum <strong>and</strong> minimum<br />

energy release rates at the crack tip in each cycle. The energy release rate is determined from the<br />

finite element analysis <strong>of</strong> the MMB specimens. Figure 5.28 illustrates the influence <strong>of</strong> core<br />

density on the crack growth rates. As seen in Figure 5.28 the scatter <strong>of</strong> the results for the<br />

H45/GFRP is larger than that for H100/GFRP, which can be attributed to a larger cell size <strong>and</strong><br />

increased brittleness <strong>of</strong> the H45 core. Furthermore, the magnitude <strong>of</strong> m is larger in the<br />

H45/GFRP than in the H100/GFRP interface, which indicates a faster crack growth rate due to<br />

the lower density <strong>and</strong> brittleness <strong>of</strong> the H45 core.

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