Fracture surfaces of heterogeneous materials: A 2D solvable model

E. Katzav*, M. Adda-Bedia, B. Derrida

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


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 nonsingular 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.

Original languageAmerican English
Article number46006
JournalLettere Al Nuovo Cimento
Issue number4
StatePublished - 1 May 2007
Externally publishedYes


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