Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials

Details Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials

2003-03-07

arxiv.org/abs/cond-mat/0303126v1

Physics

Condensed Matter

Statistical Mechanics

To be published in : Europhysics Letters

Scientific paper

10.1209/epl/i2003-00398-1

Slow crack growth in a model of homogenous brittle elastic material is described as a thermal activation process where stress fluctuations allow to overcome a breaking threshold through a series of irreversible steps. We study the case of a single crack in a flat sheet for which analytical predictions can be made, and compare them with results from the equivalent problem of a 2D spring network. Good statistical agreement is obtained for the crack growth profile and final rupture time. The specific scaling of the energy barrier with stress intensity factor appears as a consequence of irreversibility. In addition, the model brings out a characteristic growth length whose physical meaning could be tested experimentally.

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