Discrepancy between Subcritical and Fast Rupture Roughness: A Cumulant Analysis

Abstract : 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 [J. Delour, J. F. Muzy, and A. Arneodo, Eur. Phys. J. B 23, 243 (2001)]. Using a large data set (102 fronts), we find a significant difference in local roughness between the slow (subcritical) and the fast growth regime.
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Nicolas Mallick, Pierre-Philippe Cortet, Stéphane Santucci, Stéphane Roux, Loïc Vanel. Discrepancy between Subcritical and Fast Rupture Roughness: A Cumulant Analysis. Physical Review Letters, American Physical Society, 2007, 98 (25), pp.255502. ⟨10.1103/PhysRevLett.98.255502⟩. ⟨ensl-00156792v2⟩

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