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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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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Khezrzadeh, Hamed
description 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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subjects Crack propagation
Fractals
Fracture mechanics
Fracture toughness
Propagation velocity
Rayleigh waves
Roughness
Stress propagation
Terminal velocity
Upper bounds
Velocity
title Estimating Terminal Velocity of Rough Cracks in the Framework of Discrete Fractal Fracture Mechanics
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