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

被引:127
作者
Bohn, S
Pauchard, L
Couder, Y
机构
[1] Ecole Normale Super, Lab Phys Stat, F-75231 Paris, France
[2] Rockefeller Univ, Magnasco Lab, New York, NY 10021 USA
[3] FAST, F-91405 Orsay, France
来源
PHYSICAL REVIEW E | 2005年 / 71卷 / 04期
关键词
D O I
10.1103/PhysRevE.71.046214
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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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页数:7
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