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Metal Foams: A Design Guide

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Weight index<br />

ψ = W/2πR 2 ρ s<br />

W core /W<br />

0.004<br />

0.003<br />

0.002<br />

0.001<br />

0<br />

0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

0<br />

a<br />

b<br />

Axially stiffened<br />

shell ( /R = 1)<br />

0.2 0.4 0.6 0.8 1 1.2<br />

ρ c/ρ s = 0.05<br />

ρ c /ρ s = 0.1<br />

ρ c /ρ s = 0.05<br />

N/E fR (×10 5 )<br />

Load Index<br />

ρ c /ρ s = 0.1<br />

0.2 0.4 0.6 0.8 1 1.2<br />

N /E fR (×10 5 )<br />

Configuration<br />

N<br />

2R<br />

1.4 1.6 1.8 2<br />

Configuration<br />

N<br />

2R<br />

1.4 1.6 1.8 2<br />

Sandwich structures 143<br />

Figure 10.16 (a) Weight index versus load index for cylindrical sandwich<br />

shells. (b) Relative weight versus load index for cylindrical sandwich shells<br />

design has no relevance. For reference, the result for the optimally designed<br />

cylindrical shell with axial hat-stiffeners is repeated from Figure 10.16(a).<br />

This comparison illustrates the weight superiority of foam metal-core sandwich<br />

shells over conventional shell construction as well as the potential benefit<br />

to be gained by using a core material with the best available stiffness.

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