Anisotropic self-affine properties of experimental fracture surfaces

Details Anisotropic self-affine properties of experimental fracture surfaces Anisotropic self-affine properties of experimental fracture surfaces

2006-01-05

arxiv.org/abs/cond-mat/0601086v1

International Journal of Fracture 140 (2006) 27-36

Physics

Condensed Matter

Statistical Mechanics

12 pages

Scientific paper

The scaling properties of post-mortem fracture surfaces of brittle (silica glass), ductile (aluminum alloy) and quasi-brittle (mortar and wood) materials have been investigated. These surfaces, studied far from the initiation, were shown to be self-affine. However, the Hurst exponent measured along the crack direction is found to be different from the one measured along the propagation direction. More generally, a complete description of the scaling properties of these surfaces call for the use of the 2D height-height correlation function that involves three exponents zeta = 0.75, beta = 0.6 and z = 1.25 independent of the material considered as well as of the crack growth velocity. These exponents are shown to correspond to the roughness, growth and dynamic exponents respectively, as introduced in interface growth models. They are conjectured to be universal.

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