## 3 Results and Discussion
### Relaxation Characteristics of the Three Asphalt Mixtures
#### 3.3.2 Fitting Analysis of Relaxation Modulus of the Three Asphalt Mixtures
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Mixtures**} & \multirow{2}{*}{**Parameters**} & \multicolumn{8}{c}{**Temperatures (\({}^{\circ}\)C)**} \\ \cline{3-8}  & & **50** & **40** & **30** & **20** & **10** & **0** & **\(-\)10** & **\(-\)20** \\ \hline \multirow{4}{*}{AM} & \(G_{1}\) (MPa) & 36.42 & 39.92 & 42.77 & 47.71 & 60.20 & 88.64 & 213.49 & 992.58 \\  & \(G_{2}\) (MPa) & 8.77 & 15.67 & 22.93 & 47.04 & 135.74 & 548.71 & 1983.5 & 4237.65 \\  & \(p_{1}\) (s) & 189.007 & 77.017 & 72,068 & 54,021 & 30,076 & 18,815 & 8341 & 3944.85 \\  & \(p_{2}\) (s) & 525.18 & 186.99 & 193.19 & 155.59 & 110.63 & 96.40 & 87.27 & 79.24 \\  & R\({}^{2}\) & 0.9568 & 0.9654 & 0.9520 & 0.9475 & 0.9240 & 0.8449 & 0.9419 & 0.9674 \\ \hline \multirow{4}{*}{DBFAM} & \(G_{1}\) (MPa) & 39.68 & 44.08 & 49.95 & 63.17 & 119.80 & 190.40 & 740.97 & 4587.87 \\  & \(G_{2}\) (MPa) & 13.60 & 31.38 & 65.85 & 127.98 & 2949.0 & 3241.65 & 4464.5 & 6063.54 \\  & \(p_{1}\) (s) & 155,709 & 63,491 & 49,404 & 29,792 & 11,959 & 17,147 & 6261 & 13,846.4 \\  & \(p_{2}\) (s) & 304.60 & 122.31 & 101.92 & 156.19 & 16.55 & 132.99 & 669.16 & 88.95 \\  & R\({}^{2}\) & 0.9361 & 0.9723 & 0.9621 & 0.9302 & 0.9319 & 0.9998 & 0.9923 & 0.9984 \\ \hline \multirow{4}{*}{SBSAM} & \(G_{1}\) (MPa) & 46.16 & 49.14 & 56.91 & 70.89 & 100.51 & 162.02 & 481.07 & 1117.40 \\  & \(G_{2}\) (MPa) & 10.19 & 19.23 & 29.69 & 51.24 & 137.85 & 986.01 & 5900.2 & 16,974.5 \\ \cline{1-1}  & \(p_{1}\) (s) & 92,778 & 108,254 & 63,392 & 42,332 & 28,051 & 18,742 & 7687 & 19,530 \\ \cline{1-1}  & \(p_{2}\) (s) & 504.40 & 416.27 & 421.64 & 347.35 & 172.40 & 106.43 & 97.51 & 80.74 \\ \cline{1-1}  & R\({}^{2}\) & 0.9605 & 0.9496 & 0.9463 & 0.9482 & 0.9525 & 0.9023 & 0.9472 & 0.9815 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: The fitting parameters of the relaxation properties based on the Burgers model. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Parameters**} & \multicolumn{8}{c}{**Temperatures (\({}^{\circ}\)C)**} \\ \cline{2-9}  & **50** & **40** & **30** & **20** & **10** & **0** & **\(-\)10** & **\(-\)20** \\ \hline \(E_{e}\) (MPa) & 34.729 & 11.163 & 25.575 & 15.168 & 40.868 & 56.266 & 3.089 & 182.22 \\ \(E_{1}\) (MPa) & 5137.1 & 6943.5 & 1,010,500 & 3563.9 & 67,882.5 & 5193.33 & 4489.88 & 15716 \\ \(E_{2}\) (MPa) & 2176.2 & 5963.7 & 855.84 & 3560.9 & 1527.0 & 1438.7 & 1530.7 & 2809.2 \\ \(E_{3}\) (MPa) & 33.01 & 453.61 & 328.53 & 3560.7 & 1487.1 & 1423.6 & 1354.8 & 2807.9 \\ \(E_{4}\) (MPa) & 11.25 & 23.61 & 33.33 & 58.69 & 206.01 & 1397.3 & 1345.5 & 2807.9 \\ \(E_{5}\) (MPa) & 6.13 & 8.45 & 13.69 & 26.50 & 54.71 & 126.3 & 1121.4 & 1493.1 \\ \(E_{6}\) (MPa) & 4.96 & 4.43 & 5.32 & 8.53 & 22.71 & 54.65 & 82.31 & 919.85 \\ \(E_{7}\) (MPa) & 0.020 & 4.43 & 5.31 & 5.41 & 1.08 & 0.544 & 53.46 & 0.0533 \\ \(E_{8}\) (MPa) & 0.013 & 4.43 & 4.167 & 4.974 & 1.044 & 0.544 & 51.52 & 0.0469 \\ \(E_{9}\) (MPa) & 0.013 & 4.42 & 2.235 & 4.763 & 1.037 & 0.544 & 2.91 & 0.0447 \\ \(E_{10}\) (MPa) & 0.010 & 4.42 & 1.000 & 4.729 & 1.028 & 0.334 & 2.437 & 0.0436 \\ \(E_{11}\) (MPa) & 0.010 & 4.42 & 0.999 & 4.656 & 1.014 & 0.298 & 0.537 & 0.0419 \\ \(E_{12}\) (MPa) & 0.010 & 4.42 & 0.953 & 3.564 & 0.989 & 0.279 & 0.247 & 0.0397 \\ \(\text{R}^{2}\) & 0.9992 & 0.9966 & 0.9955 & 0.9952 & 0.9901 & 0.9958 & 0.9971 & 0.9854 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: The fitting parameters of AM based on the generalized Maxwell model.