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Metal Foams: A Design Guide

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

Through-fasteners may be required to carry bearing loads (Figure 15.5).<br />

Initial yield occurs when the mean bearing load exceeds the crushing strength<br />

of the foam, that is, when<br />

Fb D 2Rt c<br />

t<br />

2R<br />

F F<br />

2 2<br />

Figure 15.5 A through-fastener carrying bearing loads<br />

where c is the crushing strength of the foam, approximated by<br />

� �3/2 c ³ 0.3<br />

y,s<br />

s<br />

2R<br />

s c<br />

F<br />

⊲15.6⊳<br />

(see Chapter 4, Equation (4.2)). Once yielding has occurred the fastener is no<br />

longer secure and fretting or local plasticity caused by tilting make its behavior<br />

unpredictable. Equation (15.6), with an appropriate safety factor, becomes the<br />

safe design criterion.<br />

Displacement (mm)<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

−2<br />

1<br />

F p = 0.85N<br />

10<br />

F max /F p<br />

= 0.8<br />

10 2<br />

0.55<br />

10 3 10 4 10 5 10 6<br />

Number of cycles<br />

0.50<br />

Figure 15.6 The accumulated displacement under tension–tension cyclic<br />

loading of embedded fastners at various levels of peak cyclic stress<br />

0.40

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