Disentangling Scaling Properties in Anisotropic Fracture

Details Disentangling Scaling Properties in Anisotropic Fracture Disentangling Scaling Properties in Anisotropic Fracture

2005-08-23

arxiv.org/abs/cond-mat/0508549v2

Phys. Rev Lett. 95, 255503 (2005)

Physics

Condensed Matter

Materials Science

5 pages, 8 figures

Scientific paper

10.1103/PhysRevLett.95.255503

Structure functions of rough fracture surfaces in isotropic materials exhibit complicated scaling properties due to the broken isotropy in the fracture plane generated by a preferred propagation direction. Decomposing the structure functions into the even order irreducible representations of the SO(2) symmetry group (indexed by $m=0,2,4...$) results in a lucid and quickly convergent description. The scaling exponent of the isotropic sector ($m=0$) dominates at small length scales. One can reconstruct the anisotropic structure functions using only the isotropic and the first non vanishing anisotropic sector ($m=2$) (or at most the next one ($m=4$)). The scaling exponent of the isotropic sector should be observed in a proposed, yet unperformed, experiment.

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