HR: 17:15h
AN: T14A-06 INVITED    [Abstracts]
TI: Hierarchical Cracking Seen as a Successive Space Division
AU: * Bohn, S
EM: steffen.bohn@univ-paris-diderot.fr
AF: MSC - Université Paris 7 Denis Diderot, 10 rue Alice Domon et Lonie Duquet, Paris, 75205, France
AU: Pauchard, L
EM: pauchard@fast.u-sud.fr
AF: FAST - Université Paris 11, Batiment 502, Campus Universitaire, Orsay, 91405, France
AU: Bedia, M A
EM: adda@lps.ens.fr
AF: LPS - ENS, 24 rue Lhomond, Paris, 75005, France
AU: Couder, Y
EM: couder@lps.ens.fr
AF: MSC - Université Paris 7 Denis Diderot, 10 rue Alice Domon et Lonie Duquet, Paris, 75205, France
AB: Contraction of a thin material layer can lead to hierarchical cracking. One fracture succeed the other, and while the older fractures do have an important impact on the younger ones, a younger fracture can effect the preceding ones. This hierarchical interaction is reflected in the geometry on the resulting crack pattern. We present a description of this pattern formation based on the fact that the fractures divide the two-dimensional surface into distinct domains. We show that this description leads directly to a mathematical constraint: the average number of sides of these domains must be four. On the other hand, we use this description to design a simple experiment that, together with a theoretical analysis, let us understand the crack-crack interaction. References: S.Bohn, S; Douady, Y. Couder (2005) Phys. Rev. Lett. 94, 054503 S. Bohn, L. Pauchard, Y. Couder (2005) Phys. Rev. E 71, 046214 S. Bohn, J. Platkiewicz, B. Andreotti, M. Adda-Bedia, and Y. Couder (2005) Phys. Rev. E 71, 046215
DE: 3617 Alteration and weathering processes (1039)
DE: 5104 Fracture and flow
DE: 7209 Earthquake dynamics (1242)
DE: 8010 Fractures and faults
SC: Tectonophysics [T]
MN: 2007 Fall Meeting