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

Presented by: 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.

Abstract
Résumé

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.

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.

Received: 2003-06-27
Accepted: 2003-07-01
Published online: 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

Author's affiliations:

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/

References
Cited by

[1] J. Salençon An introduction to the yield design theory and its application to soil mechanics, Eur. J. Mech. A Solids, Volume 9 (1990) no. 5, pp. 477-550

[2] M. Frémond; A. Friaà Les méthodes statique et cinématique en calcul à la rupture et analyse limite, J. Mech. Th. Appl., Volume 1 (1982) no. 5, pp. 881-905

[3] G. Bouchitté Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité, Ann. Fac. Sci. Toulouse, Volume 8 ( 1986–1987 ), pp. 7-36

[4] P. de Buhan, Approche fondamentale du calcul à la rupture des ouvrages en sols renforcés, Thèse d'Etat, Université Pierre et Marie Curie, 1986

[5] D. Caillerie Thin elastic and periodic plates, Math. Methods Appl. Sci., Volume 6 (1984), pp. 159-191

[6] P. de Buhan; G. de Felice A homogenization approach to the ultimate strength of brick masonry, J. Mech. Phys. Solids, Volume 45 (1997) no. 7, pp. 1085-1104

[7] A. Cecchi; K. Sab Out of plane model for heterogeneous periodic materials: the case of masonry, Eur. J. Mech. A Solids, Volume 21 (2002), pp. 715-746

[8] P. Suquet Analyse limite et homogénéisation, C. R. Acad. Sci. Paris, Sér. II, Volume 296 (1983), pp. 1355-1358

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