  Forecasting fracture locations in a progressively failing disordered
structure is of paramount importance when considering structural materials. We
explore this issue for gradual deterioration via beam breakage of
two-dimensional disordered lattices, which we represent as networks, for
various values of mean degree. We study experimental samples with geometric
structures that we construct based on observed contact networks in 2D granular
media. We calculate geodesic edge betweenness centrality, which helps quantify
which edges are on many shortest paths in a network, to forecast the failure
locations. We demonstrate for the tested samples that, for a variety of failure
behaviors, failures occur predominantly at locations that have larger geodesic
edge betweenness values than the mean one in the structure. Because only a
small fraction of edges have values above the mean, this is a relevant
diagnostic to assess failure locations. Our results demonstrate that one can
consider only specific parts of a system as likely failure locations and that,
with reasonable success, one can assess possible failure locations of a
structure without needing to study its detailed energetic states.
