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Relation between driving energy, crack shape, and speed in brittle dynamic fracture

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
  • Andrea Parisi
  • Robin C. Ball
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Article number054101
<mark>Journal publication date</mark>1/08/2005
<mark>Journal</mark>Physical review B
Issue number5
Volume72
Number of pages11
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We report results on the interrelation between driving force, roughness exponent, branching, and crack speed in a finite element model. We show that for low applied loadings the crack speed reaches the values measured in the experiments, and the crack surface roughness is compatible with logarithmic scaling. At higher loadings, the crack speed increases, and the crack roughness exponent approaches the value measured at short length scales in experiments. In the case of high anisotropy, the crack speed is fully compatible with the values measured in experiments on anisotropic materials, and we are able to interpret explicitly the results in terms of the efficiency function introduced by us in our previous work. The mechanism which leads to the decrease of crack speed and the appearence of the logarithmic scaling is attempted branching, while power law roughness develops when branches succeed in growing to macroscopic size.