ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2018
Thermally activated crack fronts propagating in pinning disorder: simultaneous brittle/creep behaviour depending on scale.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Thermally activated intermittent dynamics of creeping crack fronts along disordered interfaces.Scientific reports · 2021Article
- Avalanches and extreme value statistics in interfacial crackling dynamics.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2018Article
- Statistical physics of fracture and earthquakes.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2018Article
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4 authors.
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Abstract
We study theoretically the propagation of a crack front in mode I along an interface in a disordered elastic medium, with a numerical model considering a thermally activated rheology, toughness disorder and long-range elastic interactions. This model reproduces not only the large-scale dynamics of the crack front position in fast or creep loading regimes, but also the small-scale self-affine behaviour of the front. Two different scaling laws are predicted for the front morphology, with a Hurst exponent of 0.5 at small scales and a logarithmic scaling law at large scales, consistently with experiments. The prefactor of these scaling laws is expressed as a function of the temperature, and of the quenched disorder characteristics. The cross-over between these regimes is expressed as a function of the quenched disorder amplitude, and is proportional to the average energy release rate, and to the inverse of temperature. This model captures as well the experimentally observed local velocity fluctuation probability distribution, with a high-velocity tail
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