Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 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 |
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 |
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 |
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 |
Observation summary of DIC data
| Strain rate | Bands behavior | PLC type |
|---|---|---|
| Low | nucleating | C |
| Medium | travelling and hopping | A+B |
| High | travelling | A |
Results summary for PLC types
| PLC type | A | B | C |
|---|---|---|---|
| Temperature | low | medium | high |
| Strain rate | high | medium | low |
| Band movement | propagative | hopping | nucleating |
| Sarkar et al. 2010 [16] | high | medium | low |
| Xu et al. 2021 [17] | low | high | medium |
| SampEn | high | medium | low |
| SampEn2d | high | - | low |
PLC types considered in literature
| PLC type | A | B | C |
|---|---|---|---|
| Temperature | low | medium | high |
| Strain rate | high | medium | low |
| Band movement | propagative | hopping | nucleating |
| Sarkar et al. 2010 [16] | high | medium | low |
| Xu et al. 2021 [17] | low | high | medium |
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 |