Estimating Terminal Velocity of Rough Cracks in the Framework of Discrete Fractal Fracture Mechanics

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 vel...

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Bibliographic Details
Published in:arXiv.org 2010-04
Main Authors: Yavari, Arash, Khezrzadeh, Hamed
Format: Article
Language:English
Subjects:
Crack propagation
Fractals
Fracture mechanics
Fracture toughness
Propagation velocity
Rayleigh waves
Roughness
Stress propagation
Terminal velocity
Upper bounds
Velocity
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Summary: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.
ISSN:2331-8422