Discrepancy between sub-critical and fast rupture roughness : a cumulant analysis

Nicolas Mallick (1) , Pierre-Philippe Cortet (1) , Stéphane Santucci (1) , Stéphane G. Roux (1) , Loïc Vanel (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

Rough crack fronts in a sheet of paper, obtained during a creep experiment, do not follow true scaling laws. Local roughness exponents are estimated using the first order cumulant, a quantity recently introduced in the turbulence literature. Using a large data set (102 fronts), we find a significant difference in local roughness between the slow (sub-critical) and the fast growth regime.

Keywords: Fracture; Roughness; Multifractality

Domains: Physics [physics]; Mechanics [physics]; Mechanics of materials [physics.class-ph]; Physics [physics]; Condensed Matter [cond-mat]; Materials Science [cond-mat.mtrl-sci]

Nicolas Mallick, Pierre-Philippe Cortet, Stéphane Santucci, Stéphane G. Roux, Loïc Vanel. Discrepancy between sub-critical and fast rupture roughness : a cumulant analysis. Physical Review Letters, 2007, 98 (25), pp.255502. ⟨10.1103/PhysRevLett.98.255502⟩. ⟨ensl-00156792v1⟩