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Fractal Dimension of Fractured Surfaces: A Universal Value?
Europhysics Letters (EPL) · 1990 · Vol. 13(1) · pp. 73–79
E. Bouchaud✉(Office National d'Études et de Recherches Aérospatiales)G. Lapasset(Office National d'Études et de Recherches Aérospatiales)J. Planès(Office National d'Études et de Recherches Aérospatiales)
Abstract
Different rupture modes and different fracture toughness values were obtained on an aluminium alloy subjected to four different heat treatments. The correlation functions of the bidimensional cuts of the four fractured surfaces were determined. It was found that these surfaces were fractal, and that their fractal dimensions were identical, within experimental error.
Theoretical and Computational PhysicsMaterial Properties and Failure MechanismsSurface Roughness and Optical MeasurementsFractal dimensionFractalFracture (geology)AluminiumMaterials scienceDimension (graph theory)Fracture toughnessGeometryMathematicsAlloy
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399
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Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics
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References
Erratum: Fractal measures and their singularities: The characterization of strange sets [Phys. Rev. A<i>33</i>, 1141 (1986)]
Physical review. A, General physics · 1986 · 2,482 citations
Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
Journal of Fluid Mechanics · 1974 · 1,852 citations
Fractal measures and their singularities: The characterization of strange sets
Physical review. A, General physics · 1986 · 3,223 citations
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