Fractal and multifractal approaches for the analysis of crack-size dependent scaling laws in fatigue

DOI10.1016/j.chaos.2007.08.068zbMath1197.74174OpenAlexW2033093990WikidataQ64012220 ScholiaQ64012220MaRDI QIDQ600557

Alberto Carpinteri, Marco Paggi

Publication date: 1 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.08.068

Mathematics Subject Classification ID

Fracture and damage (74R99)

Related Items (4)

Fractal analysis of damage detected in concrete structural elements under loading ⋮ The effect of crack size and specimen size on the relation between the Paris and Wöhler curves ⋮ Microstructure scaling properties and fatigue resistance of pre-strained aluminium alloys. I: Al-Cu alloy ⋮ One, no one, and one hundred thousand crack propagation laws: a generalized Barenblatt and Botvina dimensional analysis approach to fatigue crack growth

Cites Work

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• Heterogeneous materials -- scaling phenomena relevant to fracture and to fracture toughness
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• A fractal analysis of size effect on fatigue crack growth.
• Fractality in the threshold condition of fatigue crack growth: an interpretation of the Kitagawa diagram
• Applications of fractal geometry and renormalization group to the Italian seismic activity
• Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
• A fractional calculus approach to the description of stress and strain localization in fractal media

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