Statistics of branched fracture surfaces

作者: E. Bouchaud , G. Lapasset , J. Planès , S. Naveos

DOI: 10.1103/PHYSREVB.48.2917

关键词: Probability distributionRoughness exponentCrystalliteExponentIntermetallicStatisticsPower lawFracture mechanicsBranching (polymer chemistry)Physics

摘要: A statistical analysis of fracture surfaces the polycrystalline intermetallic compound ${\mathrm{Ni}}_{3}$Al is reported. Although these contain secondary branches, a roughness exponent \ensuremath{\zeta} can be defined, and found close to 0.8. The number branches shown have nontrivial fluctuations, which exhibit power-law increase with an strongly dependent upon dynamics crack branching during propagation. Moreover, probability distributions both heights averaged are slowly decrease, i.e., like power laws, for high enough altitudes. Dynamical effects could responsible ``anomalous'' statistics.

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