of the localization zone is usually a constant parameter associated with some physical internal length. In this context, the treatment of $\ell$ as a material parameter as suggested in [@Mesgarnejad2015] and [@Nguyen2016] makes a lot of sense since it can be shown that under the assumption of uniform damage, the peak stress $\sigma_c$ (which can be interpreted as the critical stress for crack nucleation) is dependent on $\ell$. However it has also been observed [e.g. @Klinsmann2015] that propagation cracks explicitly modeled in the mesh exhibits a dependence on $\ell$ as well. Thus if $\sigma_c$ and $\mathcal{G}_c$ are assumed to be two independent material parameters, the interdependence of each with $\ell$ means that we can adjust the regularization based on one or the other but generally not both at the same time. Hence the idea of only relying on $\ell$ to calibrate the model is not entirely adequate. Furthermore in heterogeneous media, $\ell$ may take on a different value for each medium so that the diffuse crack becomes thicker or thinner as it passes from one material to the next. This is especially undesirable in a multiphysics setting in which the model for some overlying physical process depends directly on the 