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We revisit the relation between the shear stress relaxation modulus $G(t)$,computed at finite shear strain $0 < \gamma \ll 1$, and the shear stressautocorrelation functions $C(t)|_{\gamma}$ and $C(t)|_{\tau}$ computed,respectively, at imposed strain $\gamma$ and mean stress $\tau$. Focusing onpermanent isotropic spring networks it is shown theoretically andcomputationally that in general $G(t) = C(t)|_{\tau} = C(t)|_{\gamma} + G_{eq}$for $t > 0$ with $G_{eq}$ being the static equilibrium shear modulus. $G(t)$and $C(t)|_{\gamma}$ thus must become different for solids and it is impossibleto obtain $G_{eq}$ alone from $C(t)|_{\gamma}$ as often assumed. We commentbriefly on self-assembled transient networks where $G_{eq}(f)$ must vanish fora finite scission-recombination frequency $f$. We argue that $G(t) =C(t)|_{\tau} = C(t)|_{\gamma}$ should reveal an intermediate plateau set by theshear modulus $G_{eq}(f=0)$ of the quenched network.

Shear stress relaxation and ensemble transformation of shear stress autocorrelation functions revisited