Flexural vs. tensile strength in brittle materials

Dominique Leguillon; Éric Martin; Marie-Christine Lafarie-Frenot

doi:10.1016/j.crme.2015.02.003

Flexural vs. tensile strength in brittle materials

Dominique Leguillon ¹ ; Éric Martin ²; Marie-Christine Lafarie-Frenot ³

¹ Institut Jean-le-Rond-d'Alembert, CNRS UMR 7190, Sorbonne Universités, UPMC Université Paris-6, 75005 Paris, France
² Laboratoire des composites thermo-structuraux, CNRS UMR 5801, Université de Bordeaux, 33600 Pessac, France
³ Institut Pprime, CNRS UPR 3346, ISAE-ENSMA, Université de Poitiers, 86961 Futuroscope Chasseneuil-du-Poitou cedex, France

Comptes Rendus. Mécanique, Volume 343 (2015) no. 4, pp. 275-281.

Abstract

The tests leading to the determination of the strength of brittle materials show a very wide scattering and a noticeable difference between flexural and tensile strengths. The corresponding statistics are usually described by the Weibull law, which only partly explained the observed difference. From a theoretical point of view, the coupled criterion reaches the same conclusion, the flexural strength is higher than the tensile one. It is shown that these two approaches complement to give a satisfying explanation of the difference between the flexural and tensile strengths. Moreover, according to the coupled criterion, the tensile strength appears to be the only material parameter.

Received: 2014-12-17
Accepted: 2015-02-10
Published online: 2015-02-24

DOI: 10.1016/j.crme.2015.02.003

Keywords: Fracture mechanics, Strength of brittle materials, Weibull theory, Coupled criterion

Author's affiliations:

Dominique Leguillon ¹; Éric Martin ²; Marie-Christine Lafarie-Frenot ³

¹ Institut Jean-le-Rond-d'Alembert, CNRS UMR 7190, Sorbonne Universités, UPMC Université Paris-6, 75005 Paris, France
² Laboratoire des composites thermo-structuraux, CNRS UMR 5801, Université de Bordeaux, 33600 Pessac, France
³ Institut Pprime, CNRS UPR 3346, ISAE-ENSMA, Université de Poitiers, 86961 Futuroscope Chasseneuil-du-Poitou cedex, France

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     author = {Dominique Leguillon and \'Eric Martin and Marie-Christine Lafarie-Frenot},
     title = {Flexural vs. tensile strength in brittle materials},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {275--281},
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     language = {en},
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Dominique Leguillon; Éric Martin; Marie-Christine Lafarie-Frenot. Flexural vs. tensile strength in brittle materials. Comptes Rendus. Mécanique, Volume 343 (2015) no. 4, pp. 275-281. doi : 10.1016/j.crme.2015.02.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.02.003/

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