Deformation of the crack front during propagation in some disordered medium: theoretical and experimental studies
Résumé
In heterogeneous disordered materials, a straight crack front experiences toughness fluctuations during its propagation that generate geometric fluctuations. Their long time statistical behavior has been studied by Lazarus et al. (JMPS, 2008) using Bueckner-Rice weight function theory. In particular, the evolution of the auto-correlation function, power spectrum and variance of the front fluctuations have been derived. The aim here is to compare these results to some experiments performed on transparent plexiglas blocks with the same apparatus as in Schmittbuhl and Maloy (PRL, 1997) by measuring the amplitude evolution of the crack front fluctuations in addition to the self-affinity roughness parameters.
Mots clés
Quasi-static
Roughness exponent
Roughness parameters
Second group
Second orders
Self affinity
Self-affine
Semi-infinite crack
Statistical behaviorStatistical properties
Straight crack
Sub-criticalTheoretical result
Theoretical study
Time dependent
Time evolutions
Weight functions
Analytical description
Autocorrelation functions
Comparison with experiments
Crack advance
Crack fronts
Crack surfaces
Disordered materials
Disordered medium
Elastic models
Experimental studies
First order
First-order analysis
Homogeneous materials
Interfacial cracks
Line loading
Paris' law
Plexiglas
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2009-PindraLazarusLeblondSchmittbuhlToussaint.pdf (210.96 Ko)
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