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Fractal Properties of Fracture Surfaces: Roughness Indices and Relevant Lengthscales

Published online by Cambridge University Press:  03 September 2012

Elisabeth Bouchaud*
Affiliation:
Direction Matdriaux, O.N.E.R.A., 29 Av. de la Division Leclerc B.P. 72, 92322 Chitillon Cedex, FRANCE
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Abstract

Experiments aiming at the measurement of the roughness index ζ of “rapid” fracture surfaces are briefly reviewed. For rapid crack propagation, measured values of ζ are close to 0.8, which seems to be a universal exponent. However, it is argued, by re-writing the Griffith criterion for a self-affine crack, that the self-affine correlation length ξ might depend upon the microstructure, and hence on the fracture toughness. More recent experiments are also described, which reveal at smaller lengthscales the existence of a quasi-static fracture regime separated from the previously studied rapid fracture regime by a crossover length which decreases with increasing crack velocity.

Type
Research Article
Copyright
Copyright © Materials Research Society 1995

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