Self-affine properties of fractures in brittle materials
A. Parisi (a,b) and G. Caldarelli (a)
(a) INFM-Unità di Roma 1 "La Sapienza", P.le A. Moro 2, 00185, Roma, Italy
(b) Department of Physics, University of Warwick, CV4 7AL Coventry, UK
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 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.
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