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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 | 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. | Source: | arXiv, cond-mat/0006061 | Services: | Forum | Review | PDF | Favorites |
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