Yield strength of masonry-like structures containing thin adhesive joints: 3D or 2D-interface model for the joints?

Ramzi Sahlaoui; Karam Sab; Jean-Vivien Heck

doi:10.1016/j.crme.2011.03.018

Yield strength of masonry-like structures containing thin adhesive joints: 3D or 2D-interface model for the joints?

Ramzi Sahlaoui ¹; Karam Sab ² ; Jean-Vivien Heck ¹

¹ Centre scientifique et technique du bâtiment (CSTB), 84, avenue Jean-Jaurès, Champs sur Marne, 77447 Marne-la-Vallée cedex 2, France
² Université Paris-Est, laboratoire Navier (ENPC/IFSTTAR/CNRS, UMR 8205), École des Ponts ParisTech, 6 & 8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France

Comptes Rendus. Mécanique, Volume 339 (2011) no. 6, pp. 432-438.

Abstract
Résumé

It is shown in this Note that the use of a 2D-interface model for the joints in the limit analysis of a structure made of bricks which are bounded with adhesively thin joints leads to an upper bound estimate of the bearing capacities of the structure, as the thickness of the joints goes to zero. Considering the compression in the vertical direction of a running bond masonry made of Drucker–Prager bricks and mortar, it is found that the use of the interface model overestimates by 15 percent the compressive strength of the masonry computed with 3D finite elements. Moreover, comparisons with compression test results show that the damaging behavior of the bricks has an important effect on the actual compressive strength of the masonry.

On montre dans cette Note que lʼutilisation dʼun modèle dʼinterface 2D pour les joints lors de lʼanalyse limite dʼune structure faite de briques assemblées par des joints adhésifs minces conduit à une estimation par excès des capacités portantes de la structure, quand lʼépaisseur des joints tend vers zero. Considérant la compression dans le sens vertical dʼune maçonnerie constituée de briques et de mortier obéissants au critère de Drucker–Prager, on trouve que lʼutilisation du modèle dʼinterface surestime de 15 pourcent la résistance en compression calculée avec des éléments finis 3D. De plus, des comparaisons avec les résultats de tets de compression montrent que lʼ endommagement des briques a un effet important sur la résistance en compression de la maçonnerie.

Received: 2011-01-31
Accepted: 2011-03-25
Published online: 2011-05-07

DOI: 10.1016/j.crme.2011.03.018

Keywords: Solids and structures, Interface, Adhesive joint, Limit analysis, Homogenization, Masonry, Drucker–Prager
Mots-clés : Solides et structures, Interface, Joint adhésif, Analyse Limite, Homogénéisation, Maçonnerie, Drucker–Prager

Author's affiliations:

Ramzi Sahlaoui ¹; Karam Sab ²; Jean-Vivien Heck ¹

¹ Centre scientifique et technique du bâtiment (CSTB), 84, avenue Jean-Jaurès, Champs sur Marne, 77447 Marne-la-Vallée cedex 2, France
² Université Paris-Est, laboratoire Navier (ENPC/IFSTTAR/CNRS, UMR 8205), École des Ponts ParisTech, 6 & 8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France

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     author = {Ramzi Sahlaoui and Karam Sab and Jean-Vivien Heck},
     title = {Yield strength of masonry-like structures containing thin adhesive joints: {3D} or {2D-interface} model for the joints?},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {432--438},
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     language = {en},
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Ramzi Sahlaoui; Karam Sab; Jean-Vivien Heck. Yield strength of masonry-like structures containing thin adhesive joints: 3D or 2D-interface model for the joints?. Comptes Rendus. Mécanique, Volume 339 (2011) no. 6, pp. 432-438. doi : 10.1016/j.crme.2011.03.018. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.03.018/

References
Cited by

[1] A. Cecchi; K. Sab A multi-parameter homogenization study for modelling elastic masonry, Eur. J. Mech. A/Solids, Volume 21 (2002), pp. 249-268

[2] J. Salençon Calcul à la Rupture et Analyse Limite, Presses de lʼEcole Nationale des Ponts et Chaussées, Paris, 1983

[3] S. Bourgeois, Modélisation numérique des panneaux structures lé gers, PHD thesis, Université Aix-Marseille II, 1997.

[4] K. Sab Yield design of thin periodic plates by a homogenization technique and an application to masonry walls, C. R. Mécanique, Volume 331 (2003), pp. 641-646

[5] J. Dallot; K. Sab Limit analysis of multi-layered plates. Part I: The Love–Kirchhoff model, J. Mech. Phys. Solids, Volume 56 (2008), pp. 561-580

[6] K. Sab; A. Cecchi; J. Dallot Determination of the overall yield strength domain of out-of-plane loaded brick masonry, International Journal of Multiscale Computational Engineering, Volume 5 (2007), pp. 83-92

[7] 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

[8] A.W. Page The strength of brick masonry under biaxial tension-compression, Int. J. Masonry Constr., Volume 3 (1983) no. 1, pp. 26-31

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