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Metal Foams: A Design Guide

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<strong>Design</strong> for fatigue with metal foams 97<br />

compression-compression results for R D 0.5 are in good agreement with<br />

the corresponding results for R D 0.1, when max is used as the loading<br />

parameter.<br />

3. There is a drop in fatigue strength for tension–tension loading compared<br />

with compression–compression fatigue. The fatigue strength is summarized<br />

in Figure 8.6 for the various aluminum foams by plotting the value<br />

of max at a fatigue life of 10 7 cycles versus relative density, over a<br />

wide range of mean stresses. The values of max have been normalized by<br />

the plateau value of the yield strength, pl, in uniaxial compression. The<br />

fatigue strength of fully dense aluminum alloys has also been added: for<br />

tension–tension loading, with R D 0.1, the value of max at the endurance<br />

limit is about 0.6 times the yield strength.<br />

endurance<br />

limit<br />

σ max/σ p<br />

1<br />

0.8<br />

0.6<br />

ERG<br />

0.4<br />

Fully dense<br />

Aluminum alloys Alcan<br />

x<br />

0.2<br />

Compression (R = 0.1, 0.5)<br />

x Tension (R = 0.1)<br />

0<br />

0.01 0.1 1<br />

x<br />

Alporas<br />

Relative density, ρ/ρ s<br />

Alulight<br />

Figure 8.6 Ratio of max at the endurance limit to the monotonic yield<br />

strength pl for foams, compared with that for tension–tension fatigue of fully<br />

dense aluminum alloys at R D 0.1<br />

We conclude from Figure 8.6 that the fatigue strength of aluminum foams<br />

is similar to that of fully dense aluminum alloys, when the fatigue strength has<br />

been normalized by the uniaxial compressive strength. There is no consistent<br />

trend in fatigue strength with relative density of the foam.<br />

8.4 Notch sensitivity in static and fatigue loading<br />

A practical concern in designing with metallic foams is the issue of damage<br />

tolerance: in the presence of a notch or hole, does it fail in a notch-insensitive,<br />

x

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