Skip to Main content Skip to Navigation
Journal articles

Nucleation and propagation of cracks due to a thermal shock with a cohesive crack model

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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00856483
Contributor : Paul Sicsic <>
Submitted on : Sunday, September 1, 2013 - 11:25:45 AM
Last modification on : Thursday, September 24, 2020 - 4:00:22 PM
Long-term archiving on: : Thursday, April 6, 2017 - 11:22:16 AM

File

13_CyrMarSic_cohesive_HAL.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00856483, version 1

Citation

Christian Cyron, Jean-Jacques Marigo, Paul Sicsic. Nucleation and propagation of cracks due to a thermal shock with a cohesive crack model. preprint, to be submitted, 2013, pp.1-23. ⟨hal-00856483v1⟩

Share

Metrics

Record views

56

Files downloads

56