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Model errors of the Co-Kriging predictions for Keff and N, compared to the test dataset_
| Model | RRSE (%) | MAPE (%) | MAE | RMSE | R2 |
|---|---|---|---|---|---|
| Keff | 4.613 | 0.621 | 0.998 | ||
| N | 12.376 | 78.035 | 6.887×104 cycles | 1.112×105 cycles | 0.985 |
Convergence results of the inferred mean and standard deviation from Bayesian inference, along with the associated computational cost in terms of CPU time_
| CPU time | ||||||
|---|---|---|---|---|---|---|
| Model | θμ | error (%) | θσ | error (%) | Bayesian (s) | MCS (hrs) |
| True EIFSD | 8.470 | × | 0.424 | × | × | |
| ntrial = 30 | 8.552 | 0.968 | 0.503 | 18.9 | 7.88 | 1.15 |
| ntrial = 60 | 8.440 | 0.354 | 0.406 | 4.02 | 79.46 | 4.59 |
| Adaptive (27 steps) | 8.465 | 0.059 | 0.401 | 5.20 | 75.12 | 2.21 |
Details of the shell structure parameters and the random variables used in the EIFS inference_
| Parameter | Description | Distribution | Mean | COV |
|---|---|---|---|---|
| W2 | Inner width | Lognormal | 0.468 m | 0.01 |
| L2 | Inner length | Lognormal | 0.273 m | 0.01 |
| R2 | Inner radius | Lognormal | 0.127 m | 0.01 |
| h | Thickness | Lognormal | 0.01 m | 0.01 |
| RK | Radius of curvature | Lognormal | 2.73 m | 0.01 |
| α | Crack initiation angle | Lognormal | 29.24° | 0.05 |
| P | Domain pressure | Lognormal | 7.1 Psi | 0.04 |
| C | Paris law constant | Lognormal | 0.1 | |
| m | Paris law exponent | Lognormal | 3.59 | 0 |