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Composite Materials Research Progress

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4<br />

x 10<br />

5<br />

4<br />

3<br />

2<br />

1<br />

Compliance (Nmm)<br />

0<br />

0 20 40 60 80<br />

4<br />

x 10<br />

5<br />

4<br />

3<br />

2<br />

1<br />

Compliance (Nmm)<br />

0<br />

0 5 10 15<br />

Optimization of Laminated <strong>Composite</strong> Structures… 87<br />

Mass (kg) and thickness of ply19 (mm)<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0 20 40 60 80<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

GCMMA<br />

SAM<br />

Total mass<br />

Thickness of ply 19<br />

Mass (kg) and thickness of ply19 (mm)<br />

8<br />

Total mass<br />

Thickness of ply 19<br />

1<br />

0 5 10 15<br />

140<br />

120<br />

100<br />

80<br />

60<br />

Orientation of ply 5 (deg.)<br />

40<br />

0 20 40 60 80<br />

140<br />

120<br />

100<br />

80<br />

60<br />

Orientation of ply 5 (deg.)<br />

40<br />

0 5 10 15<br />

Figure 8.7. Convergence history for GCMMA and SAM for the membrane divided in 20 regions.<br />

Evolution of the thickness and the orientations of the plies number 5 and 19.<br />

2<br />

1.9<br />

1.8<br />

1.7<br />

1.6<br />

1.5<br />

1.4<br />

1.3<br />

1.2<br />

1.1<br />

Vertical displacement δ max under the load (mm)<br />

1<br />

0 20 40 60 80 100 120 140 160 180<br />

Fibers orientation (deg.)<br />

O 320 finite elements<br />

+ 80 finite elements<br />

* 20 finite elements<br />

Figure 8.8. Evolution of the vertical displacement under the applied load for several discretizations of<br />

the homogeneous composite membrane (Figure 8.4, n=1).

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