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

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

2010-04-26

arxiv.org/abs/1004.4648v1

Physics

Condensed Matter

Materials Science

Scientific paper

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.

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