Finite Fracture Mechanics for Fractal Cracks

  • Arash Yavari
  • Michael P. Wnuk
Conference paper
Part of the Iutam Bookseries book series (IUTAMBOOK, volume 10)


We extend the recently developed Quantized Fracture Mechanics (QFM) by Pugno and Ruoff (2004) for fractal cracks. Using an equivalent smooth blunt crack for a given fractal crack, we show that assuming that radius of curvature of the corresponding blunt crack is a material property, the crack roughens while propagating, i.e., fractal dimension at the crack tip is a monotonically increasing function of the nominal crack length. In other words, the presence of the Mirror-Mist-Hackle phenomenon for fractal cracks is analytically demonstrated.


Fractal Dimension Stress Intensity Factor Crack Length Energy Release Rate Short Crack 
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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • Arash Yavari
    • 1
  • Michael P. Wnuk
  1. 1.School of Civil and Environmental EngineeringGeorgia Institute of TechnologyAtlanta

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