Edge cracking due to a compressive residual stress in ceramic laminates

Dominique Leguillon; Oldrich Sevecek; Éric Martin; Raul Bermejo

doi:10.1016/j.crme.2014.11.001

Edge cracking due to a compressive residual stress in ceramic laminates

Dominique Leguillon ¹ ; Oldrich Sevecek ²; Éric Martin ³; Raul Bermejo ⁴

¹ Institut Jean-le-Rond-d'Alembert, CNRS UMR 7190, Sorbonne Universités, UPMC Université Paris-6, 75005 Paris, France
² Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical Engineering, Brno University of Technology, 616 69 Brno, Czech Republic
³ Laboratoire des composites thermo-structuraux, CNRS UMR 5801, Université de Bordeaux, 33600 Pessac, France
⁴ Institut für Struktur und Funktionskeramik, Montanuniversität Leoben, A-8700 Leoben, Austria

Comptes Rendus. Mécanique, Volume 343 (2015) no. 3, pp. 192-198.

Abstract

The onset of an edge crack in compressive layers of a ceramic laminate undergoing residual stresses is predicted using the stress–energy coupled criterion based on the data of the tensile strength and the toughness of the material under consideration. The proposed criterion does not contain any adjustable parameter, which is its indisputable advantage. The results of predictions of the edge crack nucleation are in a very good agreement with the experimental observations of this phenomenon. They allow us to recover and even to improve slightly an approximate formula to estimate the critical layer thickness as a function of the compressive residual stress that was proposed some years ago.

Received: 2014-07-23
Accepted: 2014-11-06
Published online: 2014-11-24

DOI: 10.1016/j.crme.2014.11.001

Mots-clés : Ceramic laminates, Residual stresses, Fracture mechanics, Coupled criterion

Author's affiliations:

Dominique Leguillon ¹; Oldrich Sevecek ²; Éric Martin ³; Raul Bermejo ⁴

¹ Institut Jean-le-Rond-d'Alembert, CNRS UMR 7190, Sorbonne Universités, UPMC Université Paris-6, 75005 Paris, France
² Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical Engineering, Brno University of Technology, 616 69 Brno, Czech Republic
³ Laboratoire des composites thermo-structuraux, CNRS UMR 5801, Université de Bordeaux, 33600 Pessac, France
⁴ Institut für Struktur und Funktionskeramik, Montanuniversität Leoben, A-8700 Leoben, Austria

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     author = {Dominique Leguillon and Oldrich Sevecek and \'Eric Martin and Raul Bermejo},
     title = {Edge cracking due to a compressive residual stress in ceramic laminates},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {192--198},
     publisher = {Elsevier},
     volume = {343},
     number = {3},
     year = {2015},
     doi = {10.1016/j.crme.2014.11.001},
     language = {en},
}

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Dominique Leguillon; Oldrich Sevecek; Éric Martin; Raul Bermejo. Edge cracking due to a compressive residual stress in ceramic laminates. Comptes Rendus. Mécanique, Volume 343 (2015) no. 3, pp. 192-198. doi : 10.1016/j.crme.2014.11.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.11.001/

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