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International Journal of Fracture 142 (2006) 51-67
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Material-independent crack arrest statistics: Application to indentation experiments
Yann Charles 1, 2, François Hild 1, Stéphane Roux 3, Damien Vandembroucq 3
(11/2006)

An extensive experimental study of indentation and crack arrest statistics is presented for four different brittle materials (alumina, silicon carbide, silicon nitride, glass). Evidence is given that the crack length statistics can be described by a universal (\ie material independent) distribution. The latter directly derives from results obtained when modeling crack propagation as a depinning phenomenon. Crack arrest (or effective toughness) statistics appears to be fully characterized by two parameters, namely, an asymptotic crack length (or macroscopic toughness) value and a power law size dependent width. The experimental knowledge of the crack arrest statistics at one given scale thus gives access to its knowledge at all scales.
1 :  Laboratoire de Mécanique et Technologie (LMT)
CNRS : UMR8535 – Université Pierre et Marie Curie [UPMC] - Paris VI – École normale supérieure de Cachan - ENS Cachan
2 :  Groupe d'études de métallurgie physique et de physique des matériaux (GEMPPM)
CNRS : UMR5510 – Institut National des Sciences Appliquées (INSA) - Lyon
3 :  Surface du Verre et Interfaces (SVI)
CNRS : UMR125
Physique/Matière Condensée/Autre
indentation – toughness – statistics – depinning – fracture
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