## 6 Results of the Calibration Process
### Results of Calibration for the SACX0807 Material  
The material parameters for SACX0807 are shown in Table 7. The table contains the same information as for material SAC305 in the previous chapter.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Mat. Model** & **Parameter** & **Initial** & **Final** \\ \hline \multirow{2}{*}{elastic isotropic} & \(E\) [MPa] & 42,045.29 & 75,945.1 \\  & \(\sigma_{y}\) [MPa] & 21.51 & 10.4411 \\ \hline \multirow{4}{*}{Chaboche} & \(C_{1}\) [MPa] & 1782.9 & 3148.46 \\  & \(C_{2}\) [MPa] & 396.88 & 56.4921 \\  & \(C_{3}\) [MPa] & 35.117 & 16.1326 \\  & \(\tau_{1}\) [\(-\)] & 678.79 & 251.575 \\  & \(\tau_{2}\) [\(-\)] & 57.675 & 121.283 \\  & \(\tau_{3}\) [\(-\)] & 0 & 0 \\ \hline \multirow{2}{*}{Perzyna} & \(m\) [\(-\)] & 0.969242 & 0.50316 \\  & \(\
u\) [\(s^{-1}\)] & 5.30916 \(\times\) 10\({}^{-3}\) & 9.84942 \(\times\) 10\({}^{-4}\) \\ \hline \multirow{2}{*}{Norton (for [MPa])} & \(C_{4}\) [\(s^{-1}\)] & 7.97016 \(\times\) 10\({}^{-19}\) & 4.02 \(\times\) 10\({}^{-19}\) \\  & \(C_{5}\) [\(-\)] & 9.62728 & 6.8239 \\ \hline \multirow{2}{*}{total objective function} & \(ERR^{A}\) [\(-\)] & 1226.4 & 61.2 \\ \hline \hline \end{tabular}
\end{table}
Table 6: Parameter values for the Chaboche–Perzyna–Norton model of SAC305 alloy, T = 22 \({}^{\circ}\)C.  
Figure 16: Tensile tests and their FEM predictions for alloy SAC305: (a) 1 mm/min; (b) 5 mm/min; (c) 10 mm/min; (d) creep tests and their FEM predictions.  
From Table 7, it is possible to reach the same conclusions as in the previous chapter for SAC305. Thus, the proposed procedure gives significantly better results than when only analytical estimation is used.  
The prediction of tensile tests of the SACX0807 alloy using FEA can be seen in Figure 17a-c. The prediction of the SACX0807 creep tests is shown in Figure 17d.  
The best agreement between the FEM simulation and the experiment data was achieved again for the tensile test of 5 mm/min. In the creep tests, the curves almost coincide from the time of 200 s.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Mat. Model** & **Parameter** & **Initial** & **Final** \\ \hline \multirow{2}{*}{elastic isotropic} & \(E\) [MPa] & 23,817 & 41,127.7 \\  & \(o_{y}\) [MPa] & 13.43 & 10.873 \\ \hline \multirow{4}{*}{Chaboche} & \(C_{1}\) [MPa] & 6165.4 & 16,210.5 \\  & \(C_{2}\) [MPa] & 594.44 & 20.0247 \\ \cline{1-1}  & \(C_{3}\) [MPa] & 43.033 & 288.226 \\ \cline{1-1}  & \(\gamma_{1}\) [\(-\)] & 924.01 & 1344.29 \\ \cline{1-1}  & \(\gamma_{2}\) [\(-\)] & 57.265 & 250.142 \\ \cline{1-1}  & \(\gamma_{3}\) [\(-\)] & 0 & 0 \\ \hline \multirow{2}{*}{Perzyna} & \(m\) [\(-\)] & 0.969242 & 0.677308 \\  & \(\
u\) [s\({}^{-1}\)] & \(5.30916\times 10^{-3}\) & \(7.14427\times 10^{-3}\) \\ \hline \multirow{2}{*}{Norton (for [MPa])} & \(C_{4}\) [s\({}^{-1}\)] & \(1.12583\times 10^{-19}\) & \(7.01215\times 10^{-20}\) \\  & \(C_{5}\) [\(-\)] & 10.13748 & 10.3626 \\ \hline \multirow{2}{*}{total objective function} & \multirow{2}{*}{\(ERR^{A}\) [\(-\)]} & \multirow{2}{*}{230.1} & \multirow{2}{*}{50.6} \\ \cline{1-1}  & & & \\ \end{tabular}
\end{table}
Table 7: Parameter values for the Chaboche–Perzyna–Norton model of the SAC0807 alloy, T = 22 \({}^{\circ}\)C.  
Figure 17: Tensile tests and their FEM predictions for alloy SACX0807: (**a**) 1 mm/min; (**b**) 5 mm/min; (**c**) 10 mm/min; (**d**) creep tests and their FEM predictions.