Statistics of Fracture Surfaces

Stéphane Santucci 1 Knut Jørgen Måløy 1 Arnaud Delaplace 1 Joachim Mathiesen 2 Alex Hansen 2 Jan Øistein Haavig Bakke 2 Jean Schmittbuhl 3 Loïc Vanel 4 Purusattam Ray 5
1 Department of Physics [Oslo]
2 Department of Physics
3 IPGS - Institut de physique du globe de Strasbourg
4 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
5 IMSc - Institute of Mathematical Sciences [India]
Abstract : We analyse the statistical distribution function for the height fluctuations of brittle fracture surfaces using extensive experimental data sampled on widely different materials and geometries. We compare a direct measurement of the distribution to an analysis based on the structure functions. For length scales $\delta$ larger than a characteristic scale $\Lambda$ that corresponds to a material heterogeneity size, we find that the distribution of the height increments $\Delta h = h(x+ \delta) -h(x)$ is Gaussian and mono-affine, {\it i.e.} the scaling of the standard deviation $\sigma$ is proportional to $\delta^\zeta$ with a unique roughness exponent. Below the scale $\Lambda$ we observe a deviation from a Gaussian distribution and a mono-affine behavior. We discuss for the latter, the relevance of a multi-affine analysis and the influences of the discreteness resulting from material micro-structures or experimental sampling.
Keywords : Fracture Roughness Statistical analysis
Type de document :
Article dans une revue
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2007, 75 (1), pp.016104. 〈10.1103/PhysRevE.75.016104〉
Liste complète des métadonnées

Littérature citée [20 références]  Voir  Masquer  Télécharger
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00156943
Contributeur : Loïc Vanel <>
Soumis le : dimanche 24 juin 2007 - 17:45:43
Dernière modification le : mardi 29 mai 2018 - 12:50:39
Document(s) archivé(s) le : jeudi 8 avril 2010 - 21:24:47

Fichiers

PRE_final_171106.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

INSU | ENS-LYON | UNIV-LYON1

Citation

Stéphane Santucci, Knut Jørgen Måløy, Arnaud Delaplace, Joachim Mathiesen, Alex Hansen, et al.. Statistics of Fracture Surfaces. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2007, 75 (1), pp.016104. 〈10.1103/PhysRevE.75.016104〉. 〈ensl-00156943〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

136

Téléchargements de fichiers

146

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD