Hierarchical crack pattern as formed by successive domain divisions. I. Temporal and geometrical hierarchy.

Phys Rev E Stat Nonlin Soft Matter Phys

Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 Rue Lhomond, 75231 Paris Cedex 05, France.

Published: April 2005

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.

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http://dx.doi.org/10.1103/PhysRevE.71.046214DOI Listing

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