Table 3:
Material parameters identified by fitting the Holzapfel model simultaneously to ten “training data sets,” for each microstructure-inclusion strategy separately. With these data, we predicted the behavior of the “test data set,” a held-out sample, based only on its microstructural data (Prediction) and compared it to a direct fit to the data (Direct Fit)
| Strategy | |||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | ||
| a | (Pa) | 2088.75 | 2163.74 | 2176.85 | 2113.71 |
| b | (—) | 4.427 | 4.239 | 4.200 | 4.319 |
| af | (Pa) | 4254.81 | 3847.00 | 5402.66 | 6595.44 |
| bf | (—) | 5.027 | 10.794 | 7.174 | 4.340 |
| as | (Pa) | 966.50 | 634.37 | 78.53 | 0.82 |
| bs | (—) | 0.0 | 0.002 | 0.110 | 0.004 |
| afs | (Pa) | 1152.72 | 1119.13 | 0.0 | 393.86 |
| bfs | (—) | 9.149 | 1.263 | 0.0 | 1.154 |
| Direct Fit | NMSE | 0.569 | 0.573 | 0.572 | 0.582 |
| Prediction | NMSE | 0.500 | 0.510 | 0.512 | 0.515 |