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Morphogenesis and propagation of complex cracks induced by thermal shocks

Authors :
Paul Sicsic
Jean-Jacques Marigo
Corrado Maurini
Blaise Bourdin
Department of Mathematics
Louisiana State University (LSU)
Laboratoire de mécanique des solides (LMS)
École polytechnique (X)-Mines Paris - PSL (École nationale supérieure des mines de Paris)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
Institut Jean le Rond d'Alembert (DALEMBERT)
Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
Lafarge Centre de Recherche [Lyon] (Lafarge LCR Lyon)
Lafarge France [Groupe Holcim]
École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris
Lafarge
Source :
Physical Review Letters, Physical Review Letters, 2013, Physical Review Letters, American Physical Society, 2013
Publication Year :
2013
Publisher :
HAL CCSD, 2013.

Abstract

International audience; We study the genesis and the selective propagation of complex crack networks induced by thermal shock or drying of brittle materials. We use a quasi-static gradient damage model to perform large scale numerical simulations showing that the propagation of fully developed cracks follows Griffith criterion and depends only on the fracture toughness, while crack morphogenesis is driven by the material's internal length. Our numerical simulations feature networks of parallel cracks and selective arrest in two dimensions and hexagonal columnar joints in three dimensions, without any hypotheses on cracks geometry and are in good agreement with available experimental results.

Details

Language :
English
ISSN :
00319007 and 10797114
Database :
OpenAIRE
Journal :
Physical Review Letters, Physical Review Letters, 2013, Physical Review Letters, American Physical Society, 2013
Accession number :
edsair.doi.dedup.....1fdd0924e8d30a7c3fcbb2e474816a81