Overall ultimate yield strength of a quasi-periodic masonry

Karam Sab

doi:10.1016/j.crme.2009.06.034

Overall ultimate yield strength of a quasi-periodic masonry
[Domaine de résistance macroscopique d'une maçonnerie quasi-périodique]

Présenté par : Jean-Baptiste Leblond

Karam Sab ¹

¹ Université Paris-Est, UR Navier, École des Ponts ParisTech, 6 & 8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France

Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 603-609.

Résumé
Abstract

L'objet de cette Note est la détermination du domaine de résistance homogénéisé dans le plan d'une maçonnerie quasi-périodique constituée de blocs infiniment résistants en contact à travers des interfaces de Mohr–Coulomb sans cohésion. Cette maçonnerie est obtenue en perturbant aléatoirement la dimension horizontale des blocs à partir d'une maçonnerie périodique. On trouve que, dans certains cas non triviaux, le domaine de résistance coincide exactement avec celui de la maçonnerie périodique initiale.

The purpose of this Note is the determination of the in-plane homogenized strength domain of a “quasi-periodic” masonry under the assumption of infinitely resistant blocks connected by cohesionless Mohr–Coulomb interfaces. This masonry is obtained by introducing a random perturbation on the horizontal width of the blocks of a periodic running bond masonry. It is found that in some non-trivial cases the strength domain coincides exactly with that of the initial periodic masonry.

Reçu le : 2009-01-26
Accepté le : 2009-06-30
Publié le : 2009-07-18

DOI : 10.1016/j.crme.2009.06.034

Keywords: Solids and structures, Homogenization, Strength domain, Random microstructure, Bounds, Masonry, Mohr–Coulomb
Mot clés : Solides et structures, Homogénéisation, Domaine de résistance, Microstructure aléatoire, Bornes, Maçonnerie, Mohr–Coulomb

Affiliations des auteurs :

Karam Sab ¹

¹ Université Paris-Est, UR Navier, École des Ponts ParisTech, 6 & 8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France

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Karam Sab. Overall ultimate yield strength of a quasi-periodic masonry. Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 603-609. doi : 10.1016/j.crme.2009.06.034. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.06.034/

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Cité par

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