Research Article
High-Temperature Performance of Asphalt Mixtures: Preliminary Analysis for the Standard Technical Index Based on Gray Relational Analysis Method
Table 6
Data preprocessing for GRA.
| Parameters | | Unmodified | Modified | PEN20 | PEN50 | PEN90 | SBS I-C | SBS I-D | TPS |
| Original sequence | DS (times/mm) | | 5415 | 1986 | 580 | 4603 | 8150 | 9965 | Penetration (25°C) (0.1 mm) | | 23 | 54 | 91 | 74 | 57 | 69 | Softening point (°C) | | 64.2 | 52.4 | 47.7 | 66 | 66.9 | 80.7 | Viscosity (60°C) (Pa·s) | | 3315 | 394 | 198 | 27360 | 49755 | 82459 | (64°C) (OB) | | 15.11 | 5.09 | 1.09 | 3.20 | 4.40 | 4.63 | (64°C) (OB) | | 18.94 | 5.75 | 1.21 | 5.95 | 9.4 | 10.30 | (kPa−1) (64°C) | | 0.2391 | 1.3976 | 3.43 | 0.3328 | 0.1369 | 0.0473 | (kPa−1) (64°C) | | 0.2009 | 1.0635 | 2.175 | 0.0389 | 0.0297 | 0.0046 | (%) (64°C) | | 23.6 | 12.6 | 1.5 | 91.3 | 88.4 | 96.7 | (%) (64°C) | | 32.3 | 25.7 | 20.8 | 94.3 | 97.3 | 99.6 | ZSV-Sybilski (Pa·s) | | 1.71 | 1.56 | 2.08 | 5622.27 | 8845.34 | 17.46 | ZSV-Williamson (Pa·s) | | 13483.1 | 8106.44 | 630.81 | 10841.6 | 16295.4 | 25233.5 | ZSV-Carreau (Pa·s) | | 6694.85 | 3926.12 | 599.17 | 10718.5 | 16365.8 | 25453.8 | (64°C) (RTFOT) | | 27.59 | 8.81 | 1.98 | 5.20 | 6.85 | 5.87 |
| Normalized sequence | DS (times/mm) | | 1.06 | 0.39 | 0.11 | 0.90 | 1.59 | 1.95 | Penetration (25°C) (0.1 mm) | | 0.38 | 0.88 | 1.48 | 1.21 | 0.93 | 1.13 | Softening point (°C) | | 1.02 | 0.83 | 0.76 | 1.05 | 1.06 | 1.28 | Viscosity (60°C) (Pa·s) | | 0.12 | 0.01 | 0.01 | 1.00 | 1.83 | 3.03 | (64°C) | | 2.71 | 0.91 | 0.20 | 0.57 | 0.79 | 0.83 | (64°C) | | 2.20 | 0.67 | 0.14 | 0.69 | 1.10 | 1.20 | (kPa−1) (64°C) | | 0.26 | 1.50 | 3.69 | 0.36 | 0.15 | 0.05 | (kPa−1) (64°C) | | 0.34 | 1.82 | 3.72 | 0.07 | 0.05 | 0.01 | R3.2 (%) (64°C) | | 0.45 | 0.24 | 0.03 | 1.74 | 1.69 | 1.85 | (%) (64°C) | | 0.52 | 0.42 | 0.34 | 1.53 | 1.58 | 1.62 | ZSV-Sybilski (Pa·s) | | 0.00 | 0.00 | 0.00 | 2.33 | 3.66 | 0.01 | ZSV-Williamson (Pa·s) | | 1.08 | 0.65 | 0.05 | 0.87 | 1.31 | 2.03 | ZSV-Carreau (Pa·s) | | 0.63 | 0.37 | 0.06 | 1.01 | 1.54 | 2.40 | (64°C) (RTFOT) | | 2.94 | 0.94 | 0.21 | 0.55 | 0.73 | 0.63 |
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