Issue 44

G. G. Bordonaro et alii, Frattura ed Integrità Strutturale, 44 (2018) 1-15; DOI: 10.3221/IGF-ESIS.44.01 10 3D FE models are developed and simulations are performed according to the experimental matrix in Table 2. The loadings plot of the Principal Component Analysis (PCA) performed on the responses shows two pairs of correlated responses. Each pair consists of one response to be maximized and the other to be minimized as shown in Figure 9. This means that, for each pair, the improvement of one of the responses will produce a worsening of the other response. Therefore, finding the best compromise is necessary. X 1 X 2 X 3 X 4 Y 1 Y 2 Y 3 Y 4 1 -1 -1 -1 10.95 65 50 8.0 0 0 -1 -1 11.06 150 115 22.9 -1 1 -1 -1 11.11 240 195 40.0 1 1 -1 -1 11.09 90 67 13.0 -1 -1 0 -1 21.37 210 160 81.5 1 -1 1 -1 31.70 69 50 45.0 -1 0 1 -1 31.89 235 175 186.0 -1 1 1 -1 31.90 250 190 196.0 1 1 1 -1 31.89 85 69 70.0 -1 -1 -1 0 13.05 236 210 78.0 1 0 -1 0 12.89 100 90 32.0 0 1 0 0 24.61 170 160 145.0 0 -1 1 0 35.31 137 125 195.0 0 -1 -1 1 15.27 135 156 87.6 -1 1 -1 1 14.74 220 260 172.0 1 1 -1 1 15.54 98 116 72.5 1 -1 0 1 27.69 70 84 112.0 -1 0 0 1 28.79 220 279 417.0 -1 -1 1 1 40.54 200 239 538.0 1 -1 1 1 38.75 75 82 170.0 -1 1 1 1 39.38 70 80 175.0 1 1 1 1 39.34 92 105 246.0 Table 2 : D-Optimal Design experimental matrix and responses Y. Figure 9 : Loading plot of the Principal Component Analysis (PCA).