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Pattern formation and selection in quasi-static fracture

Kwan-tai Leung·Zoltan Neda
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Abstract

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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Kwan-tai Leung, Zoltan Neda. 2000-06-05. Pattern formation and selection in quasi-static fracture. https://doi.org/10.1103/physrevlett.85.662

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