Pattern formation and selection in quasi-static fracture

Details Pattern formation and selection in quasi-static fracture Pattern formation and selection in quasi-static fracture

2000-06-05

arxiv.org/abs/cond-mat/0006061v1

Phys. Rev. Lett. 85 (2000) 662-665

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTeX, two-column, 5 PS figures included

Scientific paper

10.1103/PhysRevLett.85.662

Fracture in quasi-statically driven systems is studied by means of a discrete spring-block model. Developed from close comparison with desiccation experiments, it describes crack formation induced by friction on a substrate. The model produces cellular, hierarchical patterns of cracks, characterized by a mean fragment size linear in the layer thickness, in agreement with experiments. The selection of a stationary fragment size is explained by exploiting the correlations prior to cracking. A scaling behavior associated with the thickness and substrate coupling, derived and confirmed by simulations, suggests why patterns have similar morphology despite their disparity in scales.

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