  Electrical analogues of fracture, such as the fuse network model, are widely
studied. However, the "analogy" between the electrical problem and the elastic
problem is rarely established explicitly. Further, the fuse network is a
discrete approximation to the continuous problem of fracture. It is rarely, if
ever, shown that the discrete approximation indeed approaches its continuum
limit. We establish both of these correspondences directly.

Materials Science;Disordered Systems and Neural Networks;Soft Condensed Matter