@article{eprints1161,
       publisher = {Elsevier},
           pages = {161--165},
           month = {May},
           title = {Self-affine properties of fractures in brittle materials},
         journal = {Physica A: Statistical Mechanics and its Applications},
          author = {Andrea Parisi and Guido Caldarelli},
            year = {2000},
          number = {1-2},
          volume = {280},
             url = {http://eprints.imtlucca.it/1161/},
        keywords = {PACS: 62.20.Mk; 05.40.+j; 81.40.Np},
        abstract = {We present the result of numerical simulations for a fracturing process in a three-dimensional solid subjected to a mode-I load in a quasi-static regime. The solid is described using the Born model on an FCC lattice with a starting notch. We obtain a value of the roughness exponent {\ensuremath{\zeta}}{$\simeq$}0.5 in agreement with the value measured in microfracturing experiments. Our result supports the idea that at small length scales the fracturing process can be considered as quasi-static, which is the basic of the possible application of the model of line depinning to the case of fractures.}
}