Tab. 2.
Sample Entropy for White Noise
| No. of points | Mean | Std. dev | Min | Max |
|---|---|---|---|---|
| 100 | 2.58 | 0.59 | 1.49 | 3.81 |
| 300 | 2.51 | 0.19 | 2.13 | 2.94 |
| 500 | 2.47 | 0.12 | 2.22 | 2.79 |
| 600 | 2.49 | 0.10 | 2.25 | 2.70 |
| 700 | 2.47 | 0.09 | 2.29 | 2.72 |
| 800 | 2.49 | 0.066 | 2.34 | 2.65 |
| 900 | 2.48 | 0.059 | 2.35 | 2.61 |
| 1000 | 2.48 | 0.055 | 2.35 | 2.62 |
| 2000 | 2.47 | 0.033 | 2.37 | 2.57 |
| 10000 | 2.47 | 0.0069 | 2.46 | 2.49 |
Tab. 3.
Sample Entropy 2d for white noise
| No. of points | Mean | Std. dev | Min | Max |
|---|---|---|---|---|
| 100 | 0.84 | 0.22 | 0.47 | 1.88 |
| 300 | 0.76 | 0.10 | 0.54 | 1.05 |
| 500 | 0.77 | 0.093 | 0.54 | 1.02 |
| 700 | 0.76 | 0.078 | 0.58 | 0.94 |
| 800 | 0.74 | 0.072 | 0.61 | 0.95 |
| 900 | 0.75 | 0.06 | 0.59 | 0.88 |
| 1000 | 0.76 | 0.06 | 0.59 | 0.9 |
| 2000 | 0.75 | 0.047 | 0.65 | 0.87 |
| 10000 | 0.75 | 0.028 | 0.72 | 0.8 |
Fig. 1.
Visualization of coarse-grain method
Fig. 2.
Sample Entropy for different scale parameters
Fig. 3.
Sum of reactions vs. time for low strain rate (a), medium strain rate (b), high strain rate (c), zoomed-in view of the selected area for medium strain rate (d)
Tab. 4.
Observation summary of DIC data
| Strain rate | Bands behavior | PLC type |
|---|---|---|
| Low | nucleating | C |
| Medium | travelling and hopping | A+B |
| High | travelling | A |
Tab. 5.
Sample Entropy for PLC effect and equal time steps (0.001s)
| Sumple no. | SampEn |
|---|---|
| 1 | 0.01967 |
| 2 | 0.01475 |
| 3 | 0.01448 |
| 4 | 0.12021 |
| 5 | 0.12062 |
| 6 | 0.12557 |
| 7 | 0.23605 |
| 8 | 0.25310 |
| 9 | 0.29345 |
Tab. 6.
Sample Entropy for medium strain rate, equal time steps (0.001s), range 3 s to 13 s (SampEnA) and range of 32 s to 42 s (SampEnB)
| Sumple no. | SampEnA | SampEnB |
|---|---|---|
| 4 | 0.05232 | 0.12640 |
| 5 | 0.04391 | 0.11078 |
| 6 | 0.06010 | 0.13207 |
Fig. 4.
Sample Entropy for PLC effect and equal time steps (0.001s). Summary for Tabs. 5 and 6
Tab. 7.
Sample Entropy 2d for PLC effect
| Sumple no. | SampEn |
|---|---|
| 1 | 1.09861 |
| 2 | 0.68253 |
| 3 | 0.72350 |
| 4 | 0.91049 |
| 5 | 0.97507 |
| 6 | 1.29142 |
| 7 | 3.84859 |
| 8 | 3.00294 |
| 9 | x |
Fig. 5.
Sample Entropy 2d for PLC effect
Fig. 6.
Sample Entropy for different scale parameters