Slow crack growth : models and experiments
摘要
The properties of slow crack growth in brittle materials are analyzed both theoretically and experimentally. We propose a model based on a thermally activated rupture process. Considering a 2D spring network submitted to an external load and to thermal noise, we show that a preexisting crack in the network may slowly grow because of stress fluctuations. An analytical solution is found for the evolution of the crack length as a function of time, the time to rupture and the statistics of the crack jumps. These theoretical predictions are verified by studying experimentally the subcritical growth of a single crack in thin sheets of paper. A good agreement between the theoretical predictions and the experimental results is found. In particular, our model suggests that the statistical stress fluctuations trigger rupture events at a nanometric scale corresponding to the diameter of cellulose microfibrils.
引用
@article{arxiv.cond-mat/0703746,
title = {Slow crack growth : models and experiments},
author = {Stéphane Santucci and Loic Vanel and Sergio Ciliberto},
journal= {arXiv preprint arXiv:cond-mat/0703746},
year = {2009}
}
备注
to be published in EPJ (European Physical Journal)