Table 1.

The components ${\alpha }^{\ast }$, ${\beta }^{\ast }$, $G_e^{\ast }$ and ${\tau }_r^{\ast }$ of the FMM parameter ${\mathit{g}}^{\ast }$ solving the optimal identification problem (27) and the optimal integral quadratic indices $Q\left({\mathit{g}}^{\ast }\right)$ defined by (27) for the “real” relaxation modulus $G\left(t\right)$ (36).

$\mathit{Q}\left({\mathit{g}}^{\ast }\right) \left[{\mathbf{k}\mathbf{P}\mathbf{a}}^2\right]$	${\mathit{\alpha }}^{\ast }\left[-\right]$	${\mathit{\beta }}^{\ast }\left[-\right]$	${\mathit{G}}_{\mathit{e}}^{\ast } \left[\mathbf{k}\mathbf{P}\mathbf{a}\right]$	${\mathit{\tau }}_{\mathit{r}}^{\ast }\left[\mathbf{s}\right]$
5.2054279 × 10−4	0.920029	1.469033 × 10−2	3.086723	12.949456