Physics – Condensed Matter – Materials Science
Scientific paper
2006-10-06
EPL 78 46006 (2007)
Physics
Condensed Matter
Materials Science
4 pages, 4 figures
Scientific paper
10.1209/0295-5075/78/46006
Using an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a crack tip in a 2D heterogeneous brittle material. The model ensures the stability of straight cracks and allows for the study of the roughening of fracture surfaces. When neglecting the effect of the non singular stress, the problem becomes exactly solvable and yields analytic predictions for the power spectrum of the paths. This result suggests an alternative to the conventional power law analysis often used in the analysis of experimental data.
Adda-Bedia Mohktar
Derrida Bernard
Katzav Eytan
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