1996/10/18 by P. Daguier, B. Nghiem, Bernard Nghiem +2 · 160 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Exponent #Force Microscopy Techniques and Applications #Geometry #Material Dynamics and Properties #Materials science #Mathematics #Physics #Scaling #Theoretical and Computational Physics #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevlett.78.1062
published in Physical Review Letters 78(6), 1062-1065 (American Physical Society) · 4 pages, latex, and 4 encapsulated postscript figures
arxiv created 1996/10/18 · openalex publication_date 1997/02/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The fatigue fracture surfaces of a metallic alloy and the stress corrosion fracture surfaces of a silicate glass are investigated as a function of crack velocity. It is shown that in both cases there are two self-affine fracture regimes. At large enough length scales, the universal roughness index \ensuremathζ\ensuremath≃0.78 is recovered. At smaller length scales, the roughness exponent is close to \ensuremathζc\ensuremath≃0.50. The crossover length \ensuremathξc separating these two regimes strongly depends on the material, and exhibits a power-law decrease with the measured crack velocity \ensuremathξc\ensuremath∝v^\ensuremath-\ensuremathφ, with \ensuremathφ\ensuremath≃1. The exponents \ensuremathν and \ensuremathβ characterizing the dependence of \ensuremathξc and v upon the pulling force are shown to be close to \ensuremathν\ensuremath≃2 and \ensuremathβ\ensuremath≃2.