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Estimating terminal velocity of rough cracks in the framework of discrete fractal fracture mechanics

Yavari, A ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.engfracmech.2010.04.005
  3. Publisher: 2010
  4. Abstract:
  5. In this paper we first obtain the order of stress singularity for a dynamically propagating self-affine fractal crack. We then show that there is always an upper bound to roughness, i.e. a propagating fractal crack reaches a terminal roughness. We then study the phenomenon of reaching a terminal velocity. Assuming that propagation of a fractal crack is discrete, we predict its terminal velocity using an asymptotic energy balance argument. In particular, we show that the limiting crack speed is a material-dependent fraction of the corresponding Rayleigh wave speed
  6. Keywords:
  7. Dynamic fracture ; Fractal crack ; Order of stress singularity ; Asymptotic energy ; Crack speed ; Dynamic fractures ; Fractal cracks ; Fractal fracture mechanics ; Rayleigh wave speed ; Rough cracks ; Self-affine fractals ; Stress singularities ; Terminal velocity ; Upper Bound ; Fractals ; Fracture ; Fracture mechanics ; Velocity ; Cracks
  8. Source: Engineering Fracture Mechanics ; Volume 77, Issue 10 , 2010 , Pages 1516-1526 ; 00137944 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0013794410001918