Planar cracks in the fuse model
INFM sezione di Roma 1, Università "La Sapienza", P.le A. Moro 2 00185 Roma, Italy
2 PMMH-ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France
3 Laboratoire Surface du Verre et InterfacesUMR CNRS/Saint-Gobain, 39 Quai Lucien Lefranc, BP 135, 93303 Aubervilliers Cedex, France
Published online: 15 September 2000
We simulate the propagation of a planar crack in a quasi-two dimensional fuse model, confining the crack between two horizontal plates. We investigate the effect on the roughness of microcrack nucleation ahead of the main crack and study the structure of the damage zone. The two-dimensional geometry introduces a characteristic length in the problem, limiting the crack roughness. The damage ahead of the crack does not appear to change the scaling properties of the model, which are well described by gradient percolation.
PACS: 62.20.Fe – Deformation and plasticity (including yield, ductility, and superplasticity) / 62.20.Mk – Fatigue, brittleness, fracture, and cracks / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000