Volume 74, Number 4, May 2006
|Page(s)||595 - 601|
|Published online||12 April 2006|
Subcritical crack growth in fibrous materials
Laboratoire de Physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon 46 allée d'Italie, 69364 Lyon Cedex 07, France
2 GEMPPM, INSA de Lyon - 20 Av. Albert Einstein, 69621 Villeurbanne Cedex, France
Accepted: 21 March 2006
We present experiments on the slow growth of a single crack in a fax paper sheet submitted to a constant force F. We find that statistically averaged crack growth curves can be described by only two parameters: the mean rupture time τ and a characteristic growth length ζ. We propose a model based on a thermally activated rupture process that takes into account the microstructure of cellulose fibers. The model is able to reproduce the shape of the growth curve, the dependence of ζ on F as well as the effect of temperature on the rupture time τ. We find that the length scale at which rupture occurs in this model is consistently close to the diameter of cellulose microfibrils.
PACS: 05.70.Ln – Non-equilibrium and irreversible thermodynamics / 62.20.Mk – Fatigue, brittleness, fracture, and cracks
© EDP Sciences, 2006
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