Yield design of thin periodic plates by a homogenization technique and an application to masonry walls

Karam Sab

doi:10.1016/S1631-0721(03)00144-X

Yield design of thin periodic plates by a homogenization technique and an application to masonry walls
[Calcul à la rupture des plaques minces périodiques par une technique d'homogénéisation et une application aux murs en maçonnerie]

Présenté par : Jean Salençon

Karam Sab ¹

¹ Laboratoire d'analyse des matériaux et identification (ENPC/LCPC, Institut Navier), 6-8, avenue Blaise Pascal, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2, France

Comptes Rendus. Mécanique, Volume 331 (2003) no. 9, pp. 641-646.

Résumé
Abstract

On propose dans cette Note une technique d'homogénéisation pour le calcul à la rupture des plaques minces périodiques. On applique cette technique à la détermination d'un critère de rupture portant sur les efforts membranaires et les moments fléchissants dans une maçonnerie décrite comme un assemblage régulier de briques infiniment résistantes, séparées par des interfaces de Coulomb.

A homogenization method for determining overall yield strength properties of thin periodic plates from their local strength properties is proposed within the framework of the yield design theory. The proposed method is applied to the determination of the in-plane and out of plane strength criterion for masonry described as a regular assemblage of infinitely resistant bricks separated by Coulomb interfaces.

Reçu le : 2003-06-27
Accepté le : 2003-07-01
Publié le : 2003-08-30

DOI : 10.1016/S1631-0721(03)00144-X

Keywords: Computational solid mechanics, Homogenization, Masonry, Out of plane, Plate, Yield design
Mots-clés : Mécanique des solides numérique, Homogénéisation, Maçonnerie, Hors plan, Plaque, Calcul à la rupture

Affiliations des auteurs :

Karam Sab ¹

¹ Laboratoire d'analyse des matériaux et identification (ENPC/LCPC, Institut Navier), 6-8, avenue Blaise Pascal, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2, France

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Karam Sab. Yield design of thin periodic plates by a homogenization technique and an application to masonry walls. Comptes Rendus. Mécanique, Volume 331 (2003) no. 9, pp. 641-646. doi : 10.1016/S1631-0721(03)00144-X. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00144-X/

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Gabriele Milani; Alberto Taliercio Limit analysis of transversally loaded masonry walls using an innovative macroscopic strength criterion, International Journal of Solids and Structures, Volume 81 (2016), p. 274 | DOI:10.1016/j.ijsolstr.2015.12.004
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