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Metal Foams: A Design Guide

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94 <strong>Metal</strong> <strong>Foams</strong>: A <strong>Design</strong> <strong>Guide</strong><br />

Cumulative strain<br />

Axial stiffness, E/E o<br />

0<br />

−0.1<br />

−0.2<br />

−0.3<br />

−0.4<br />

−0.6<br />

R = 0.1<br />

0 102104 106 −0.5<br />

R = 0.5<br />

σmax σ<br />

= 0.94<br />

pl<br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

1.2<br />

Cycles, N<br />

Cyclic<br />

0.3 0 0.1 0.2 0.3<br />

Figure 8.4 (continued)<br />

(c)<br />

1.0<br />

0.89<br />

Monotonic<br />

Nominal compressive strain, ε<br />

(d)<br />

0.74<br />

0.67<br />

In designing with metal foams, different fatigue failure criteria are<br />

appropriate for tension–tension loading and compression–compression<br />

loading. Material separation is an appropriate failure criterion for<br />

tension–tension loading, while the initiation period for progressive shortening<br />

is appropriate for compression–compression loading. Often, a distinct knee<br />

on the curve of strain versus cycles exists at a compressive strain of 1–2%,<br />

and the associated number of cycles, NI, is taken as the fatigue life of the<br />

material.<br />

8.3 S–N data for metal foams<br />

Test results in the form of S–N curves are shown in Figure 8.5 for a number of<br />

aluminum alloy foams. Tests have been performed at constant stress range, and

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