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Hierarchical crack pattern as formed by successive domain divisions. I. Temporal and geometrical hierarchy | | S Bohn
; L Pauchard
; Y Couder
; | | Date: |
31 Mar 2005 | | Journal: | Phys Rev E, 71 (4 Pt 2), 046214 | | Abstract: | Crack patterns, as they can be observed in the glaze of ceramics or in desiccated mud layers, are formed by successive fractures and divide the two-dimensional plane into distinct domains. On the basis of experimental observation, we develop a description of the geometrical structure of these hierarchical networks. In particular, we show that the essential feature of such a structure can be represented by a genealogical tree of successive domain divisions. This approach allows for a detailed discussion of the relationship between the formation process and the geometric result. We show that--with some restraints--it is possible to reconstruct the history of the system from the geometry of the final pattern. | | Source: | PubMed, pmid15903777 | | Services: | Forum | Review | Favorites | |
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