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18 April 2024
 
  » arxiv » cond-mat/0006061

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Pattern formation and selection in quasi-static fracture
Kwan-tai Leung ; Zoltan Neda ;
Date 5 Jun 2000
Journal Phys. Rev. Lett. 85 (2000) 662-665
Subject Statistical Mechanics; Materials Science; Pattern Formation and Solitons | cond-mat.stat-mech cond-mat.mtrl-sci nlin.PS
AbstractFracture 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.
Source arXiv, cond-mat/0006061
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