Planar 2-D Cracks And Inclusions In Elastic Media

Abstract

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.