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Metal Foams: A Design Guide

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

allow simple, effective attachment. Typical of their use is the attachment of<br />

face-sheets to metal foam cores in sandwich-panel construction.<br />

Fasteners<br />

Embedded fasteners (Figure 15.2), when strongly bonded by threads or adhesives<br />

to the foam itself, pull out at an axial load<br />

Ff D 2 R⊲ℓ x⊳ s ⊲15.1⊳<br />

x<br />

2R<br />

F s<br />

Figure 15.2 Embedded fasteners: wood screws and inserts<br />

F p<br />

where 2R is the diameter, ℓ is the embedded length of the fastener, x ³ R is a<br />

small end correction allowing for the tapered tip of the fastener if there is one,<br />

and s is the shear-yield strength of the foam. This last can be estimated as<br />

� �3/2 s D 0.2<br />

y,s<br />

⊲15.2⊳<br />

giving<br />

�<br />

Ff ³ 0.4 R⊲ℓ x⊳<br />

s<br />

s<br />

� 3/2<br />

y,s<br />

t<br />

F s<br />

F p<br />

⊲15.3⊳<br />

where y,s is the yield strength of the solid of which the foam is made.<br />

Figure 15.3 shows the dependence of pull-out load on foam density, on logarithmic<br />

scales, for a range of fasteners. All scale with density in the way<br />

described by Equation (15.3). Experiments confirm the dependence on length<br />

and diameter.<br />

Bolted fasteners (Figure 15.4) fail when the head of the fastener pulls<br />

through the foam. The pull-through load is<br />

Fp D ⊲R 2 w R 2 ⊳ c C 2 Rw ⊲15.4⊳<br />

The first term is simply the crushing strength, c, of the foam times the contact<br />

area of the washer, of radius Rw. The second accounts for the tearing of the

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