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Cohesive model approach to the nucleation and propagation of cracks due to a thermal shock

Abstract : This paper studies the initiation of cohesive cracks in the thermal shock problem through a variational analysis. A two-dimensional semi-infinite slab with an imposed temperature drop on its free surface is considered. Assuming that cracks are periodically distributed and orthogonal to the surface, at short times we show that the optimum is a distribution of infinitely close cohesive cracks. This leads us to introduce a homogenized effective behavior which reveals to be stable for small times, thanks to the irreversibility. At a given loading cracks with a non-cohesive part nucleate. We characterize the periodic array of these macro-cracks between which the micro-cracks remain. Finally, for longer times, the cohesive behavior converges towards that from Griffith's evolution law. Numerical investigations complete and quantify the analytical results.
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Submitted on : Sunday, December 15, 2013 - 8:33:56 PM
Last modification on : Thursday, September 24, 2020 - 4:00:22 PM
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  • HAL Id : hal-00856483, version 2


Christian Cyron, Jean-Jacques Marigo, Paul Sicsic. Cohesive model approach to the nucleation and propagation of cracks due to a thermal shock. International Journal of Fracture, Springer Verlag, 2013, In press, pp.1-23. ⟨hal-00856483v2⟩



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