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Scaling properties of fracture surfaces

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The morphology of fracture surfaces of materials as different as glass, metallic alloys and mortar has been investigated with various experimental techniques (Atomic Force Microscopy, Scanning Electron Microscopy and laser profilometry). These surfaces were shown to exhibit the same anisotropic self-affine properties involving a roughness exponent $$0.6 along the direction of crack propagation and $$0.75 perpendicularly to it, albeit at very different length scales$^ 1, 2$. The full 2D height-height correlation function was shown to follow a Family-Vicsek type of scaling$^1,2$ with a dynamic exponent z=$/$1.2 in all cases. By rescaling the length scales properly, we could show that the structure functions relative to the various materials collapse on the same master curve$^3$. These universal scaling properties suggest the relevance of models of kinetic roughening to describe the fracture process$^4,5$. 1- L. Ponson, D. Bonamy, E. Bouchaud, Two dimensional scaling properties of experimental fracture surfaces, Phys. Rev. Lett. 96, 035506 (2006). 2- L. Ponson et al., Anisotropic self-affine properties of experimental fracture surfaces, Int. J. of Fract. 140, 27 (2006). 3- L. Ponson et al., Cleaved surface of i-AlPdMn quasicrystals: Influence of the local temperature elevation at the crack tip on the fracture surface roughness, Phys. Rev. B 74, 184205 (2006). 4- J.-P. Bouchaud, E. Bouchaud, G.Lapasset, J. Planès, Models of fractal cracks, Phys. Rev. Lett. 71, 2240, (1993). 5- D. Bonamy et al., Scaling exponents for fracture surfaces in homogeneous glass and glassy ceramics, Phys. Rev. Lett. 97, 135504 (2006).

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