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Composite Materials Research Progress

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Optimization of Laminated <strong>Composite</strong> Structures… 85<br />

the SAM method is used, the structural responses in terms of both the fibers orientations and<br />

the thicknesses are well approximated, while using GCMMA, the approximation in terms of<br />

the thicknesses is too conservative, what slows down the overall convergence speed of the<br />

optimization process.<br />

1<br />

0.95<br />

0.9<br />

0.85<br />

0.8<br />

0.75<br />

0.7<br />

0.65<br />

0.6<br />

0.55<br />

Relative compliances<br />

0.5<br />

1 4 8 12 20<br />

Number of regions : n<br />

Figure 8.5. Evolution of the compliances in the problem (8.2) for the structures illustrated in Figure 8.4.<br />

The compliance of the one region structure is the reference (n = 1)<br />

1 region<br />

4 regions<br />

Figure 8.6. Continued on next page.

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