Anisotropic self-affine properties of experimental fracture surfaces

Ponson, Laurent; Bonamy, Daniel; Auradou, Harold; Mourot, Guillaume; Morel, Stéphane; Bouchaud, Élisabeth; Guillot, Claude; Hulin, Jean-Pierre

doi:10.1007/s10704-005-3059-z

Cited by 69 publications

(70 citation statements)

References 26 publications

(30 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This scaling, referenced to as Family-Viscek scaling [22], corresponds precisely to the one exhibited -at different length-scales but with the similar scaling exponents ζ, β and z = ζ/β -by heterogeneous materials [5,6]. Table I., a collapse of the data on a single curve is readily obtained…”

Section: B Determination Of the Direction Of Crack Propagation/crackmentioning

confidence: 56%

“…As a matter of fact, it has been recently shown [5,6] that a complete description of the scaling properties of fracture surfaces in heterogeneous materials like e.g. glass, metallic alloy, wood or mortar calls for the use of the 2D height-height correlation function.…”

Section: B Determination Of the Direction Of Crack Propagation/crackmentioning

confidence: 99%

“…Following the method recently developped to analyse fracture surfaces of materials [5,6], statistical scaling properties of the roughness of these surfaces can be examined, which is the main point of the present pa- per. At first, fracture surfaces of these quasi-ordered materials were expected to be reminiscent of the peculiar structure of QCs [11,12].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Cleaved surface ofi−AlPdMnquasicrystals: Influence of the local temperature elevation at the crack tip on the fracture surface roughness

2006

Self Cite

View full text Add to dashboard Cite

Roughness of i-AlPdMn cleaved surfaces are presently analysed. From the atomic scale to 2-3 nm, they are shown to exhibit scaling properties hiding the cluster (0.45 nm) aperiodic structure. These properties are quantitatively similar to those observed on various disordered materials, albeit on other ranges of length scales. These properties are interpreted as the signature of damage mechanisms occurring within a 2-3 nm wide zone at the crack tip. The size of this process zone finds its origin in the local temperature elevation at the crack tip. For the very first time, this effect is reported to be responsible for a transition from a perfectly brittle behavior to a nanoductile one.

show abstract

Section: B Determination Of the Direction Of Crack Propagation/crackmentioning

confidence: 56%

Section: B Determination Of the Direction Of Crack Propagation/crackmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Cleaved surface ofi−AlPdMnquasicrystals: Influence of the local temperature elevation at the crack tip on the fracture surface roughness

2006

Self Cite

View full text Add to dashboard Cite

show abstract

“…[30][31][32][33][34] The previous studies have shown that the real fracture surfaces can be described by fractal geometry obeying the self-affine scaling fractal law. 35,36 This is of great help in many cases since it provides a numerical method to generate the fracture surface that mimic rough characteristic of natural rock fractures.…”

Section: Fracture Surface Propertiesmentioning

confidence: 99%

Size Effect on the Permeability and Shear Induced Flow Anisotropy of Fractal Rock Fractures

et al. 2018

View full text Add to dashboard Cite

The effect of model size on fluid flow through fractal rough fractures under shearing is investigated using a numerical simulation method. The shear behavior of rough fractures with selfaffine properties was described using the analytical model, and the aperture fields with sizes ¶ Corresponding author. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. varying from 25 to 200 mm were extracted under shear displacements up to 20 mm. Fluid flow through fractures in the directions both parallel and perpendicular to the shear directions was simulated by solving the Reynolds equation using a finite element code. The results show that fluid flow tends to converge into a few main flow channels as shear displacement increases, while the shapes of flow channels change significantly as the fracture size increases. As the model size increases, the permeability in the directions both parallel and perpendicular to the shear direction changes significantly first and then tends to move to a stable state. The size effects on the permeability in the direction parallel to the shear direction are more obvious than that in the direction perpendicular to the shear direction, due to the formation of contact ridges and connected channels perpendicular to the shear direction. The variances of the ratio between permeability in both directions become smaller as the model size increases and then this ratio tends to maintain constant after a certain size, with the value mainly ranging from 1.0 to 3.0. 1840001-1

show abstract

“…These fluctuations of G I dc are associated to the surface roughness and, more precisely, to the amount of created surface A r which varies significantly during fracture propagation (Kopp et al 2014a;Fond and Schirrer 2001;Osovski et al 2015;Srivastava et al 2014). Since the estimation of the amount of created fracture surface is typically a scale dependent measurement (Bouchaud 1997;Candela et al 2012), a multi-scale approach has to be considered (Deumié et al 1996) and several models exist to characterize this complex geometry (Mandelbrot et al 1984;Lopez and Schmittbuhl 1998;Ponson et al 1992;Bouchaud et al 1995).…”

Section: Introductionmentioning

confidence: 99%

A self-affine geometrical model of dynamic RT-PMMA fractures: implications for fracture energy measurements

et al. 2015

View full text Add to dashboard Cite

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.This is an author-deposited version published in: http://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/9600 To cite this version :Jean-Benoit KOPP, Jean SCHMITTBUHL, Olivier NOEL, Christophe FOND -A self-affine geometrical model of dynamic RT-PMMA fractures: implications for fracture energy measurements -International Journal of Fracture -Vol. 193, n°2, p.141-152 -2015 Any correspondence concerning this service should be sent to the repository Abstract Profilometric imaging of fracture surfaces of rubber toughened polymer has been performed at two different resolutions (a) at large scales [10 µm-25 mm] using an opto-mechanical profilometer and (b) at small scales [0.195 µm-0.48 mm] using an interferometric optical microscope. We introduced a selfaffine geometrical model using two parameters: the Hurst exponent and the topothesy. We showed that for rubber toughened materials the approximation of the created surface by a mean flat plane leads to a poor estimation of the dynamic fracture energy G I dc . The description of the created rough fracture surface by a self-affine model is shown to provide a significantly better approximation. A new and original geometrical method is introduced to estimate self-affine parameters: the 3D surface scaling method. Hurst exponents are shown to be unique, χ = 0.6 ± 0.1 for the differ-

show abstract

Anisotropic self-affine properties of experimental fracture surfaces

Cited by 69 publications

References 26 publications

Cleaved surface ofi−AlPdMnquasicrystals: Influence of the local temperature elevation at the crack tip on the fracture surface roughness

Cleaved surface ofi−AlPdMnquasicrystals: Influence of the local temperature elevation at the crack tip on the fracture surface roughness

Size Effect on the Permeability and Shear Induced Flow Anisotropy of Fractal Rock Fractures

A self-affine geometrical model of dynamic RT-PMMA fractures: implications for fracture energy measurements

Contact Info

Product

Resources

About