Effect of Disorder and Notches on Crack Roughness

Details Effect of Disorder and Notches on Crack Roughness Effect of Disorder and Notches on Crack Roughness

2007-08-22

arxiv.org/abs/0708.3095v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures

Scientific paper

10.1103/PhysRevE.76.056111

We analyze the effect of disorder and notches on crack roughness in two dimensions. Our simulation results based on large system sizes and extensive statistical sampling indicate that the crack surface exhibits a universal local roughness of $\zeta_{loc} = 0.71$ and is independent of the initial notch size and disorder in breaking thresholds. The global roughness exponent scales as $\zeta = 0.87$ and is also independent of material disorder. Furthermore, we note that the statistical distribution of crack profile height fluctuations is also independent of material disorder and is described by a Gaussian distribution, albeit deviations are observed in the tails.

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