“…In particular, upon η→0, the homogenized functional is recovered, together with the corresponding cell formulae. Put differently, γ eff arises from a suitable averaging procedure of as η→0.From a physical point of view, the toughening effect of heterogeneous media predicted by Hossain et al may be observed experimentally if η is small, but not exceedingly so, that is, for microtensile experiments if the length scale of the heterogeneities is small. In contrast, for purely macroscopic loading conditions, the homogenization theory of Braides et al and Cagnetti et al is more appropriate.…”