Characterization of self-affine surfaces from 3D digital reconstruction

Ammann, J.J.; Bouchaud, Élisabeth

doi:10.1051/epjap:1998252

Cited by 10 publications

(8 citation statements)

References 21 publications

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“…A high resolution elevation map has been produced from the stereo pair using the cross-correlation-based surface reconstruction technique described in [87]. The reconstructed image of the topography represents a rectangular field of 565 µm × 405 µm (512 by 512 pixels).…”

Section: Anisotropy Of Fracture Surfacesmentioning

confidence: 99%

Failure of heterogeneous materials: A dynamic phase transition?

2011

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Section: Anisotropy Of Fracture Surfacesmentioning

confidence: 99%

Failure of heterogeneous materials: A dynamic phase transition?

2011

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“…In the tensile zone, the fracture surface has been observed with a scanning electron microscope at two tilt angles. A high resolution elevation map has been produced from the stereo pair using the cross-correlation based surface reconstruction technique described in Amman and Bouchaud (1998). The reconstructed image of the topography represents a rectangular field of 565 × 405 µm (512 by 512 pixels).…”

Section: Description Of Fracture Tests and Surface Scanningmentioning

confidence: 99%

Anisotropic self-affine properties of experimental fracture surfaces

Ponson

Bonamy²,

Auradou

et al. 2006

Int J Fract

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Abstract. 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 ζ ≃ 0.75, β ≃ 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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“…Our first experimental example was obtained [56] from a compact tension specimen made of 7475 aluminum alloy first precracked in fatigue and then broken under tension in mode I. The raw fracture surface and the second order structure function computed from it are shown in Figs.…”

Section: Scaling Properties In 2+1 Dimensional Fracturementioning

confidence: 99%

Statistical Physics of Fracture Surfaces Morphology

2006

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Experiments on fracture surface morphologies offer increasing amounts of data that can be analyzed using methods of statistical physics. One finds scaling exponents associated with correlation and structure functions, indicating a rich phenomenology of anomalous scaling. We argue that traditional models of fracture fail to reproduce this rich phenomenology and new ideas and concepts are called for. We present some recent models that introduce the effects of deviations from homogeneous linear elasticity theory on the morphology of fracture surfaces, succeeding to reproduce the multiscaling phenomenology at least in 1+1 dimensions. For surfaces in 2+1 dimensions we introduce novel methods of analysis based on projecting the data on the irreducible representations of the SO(2) symmetry group. It appears that this approach organizes effectively the rich scaling properties. We end up with the proposition of new experiments in which the rotational symmetry is not broken, such that the scaling properties should be particularly simple.It is a privilege to dedicate this paper to Pierre Hohenberg and Jim Langer who contributed, respectively, decisive ideas to scaling concepts in statistical physics and to the study of fracture. It is our hope that the marriage of these two issues in the present paper may give them some degree of pleasure.

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Characterization of self-affine surfaces from 3D digital reconstruction

Cited by 10 publications

References 21 publications

Failure of heterogeneous materials: A dynamic phase transition?

Failure of heterogeneous materials: A dynamic phase transition?

Anisotropic self-affine properties of experimental fracture surfaces

Statistical Physics of Fracture Surfaces Morphology

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