multi-spring (MS) model lacking any network structure.

We start our comparison by checking a prediction from the MS model for the dependence of the failure strain $\epsilon_f$, described in equation \[eq:failureStrain\], on the sacrificial bond properties $\lambda_S$ and $\mu_M/\mu_S$ in the presence of disorder (Fig. \[fig:FailureStrain\]). Although it is clear that both the MS model and the RSN model follow the same trend, the overall trend is not immediately obvious. Intuitively, it is expected that the failure strain should increase with an increase in $\lambda_S$. However, only at the lowest stiffness ratio, we see that the $\epsilon_f$ increases with $\lambda_S$. At high stiffness ratios, this trend is reversed. This transition is a consequence of the brittle-to-ductile transition (BDT). From equation \[Da\] it can be deduced that an increase in $\lambda_S$ brings the system from the ductile into the brittle regime. The transition is not observed at the lowest stiffness ratio, because all those systems are already in the brittle regime. Similar trends can be found for the material strength and the work of extension (see Supplemental Material [@supp]).

These results show that we can tune the failure response based on the properties of the individual sacrificial bonds. Taking a broader 