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

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Parisi, Andrea and Ball, R. C.. (2005) Relation between driving energy, crack shape, and speed in brittle dynamic fracture. Physical Review B, Vol.72 (No.5). ISSN 1098-0121

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Official URL: http://dx.doi.org/10.1103/PhysRevB.72.054101

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 [A. Parisi and R. C. Ball, Phys. Rev. B 66, 165432 (2002)]. 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.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Fracture mechanics
Journal or Publication Title:	Physical Review B
Publisher:	American Physical Society
ISSN:	1098-0121
Date:	1 August 2005
Volume:	Vol.72
Number:	No.5
Number of Pages:	11
Identification Number:	10.1103/PhysRevB.72.054101
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	European Union (EU)
Grant number:	ERBFMRXCT980183 (EU)
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URI:	http://wrap.warwick.ac.uk/id/eprint/6646