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国际多尺度计算工程期刊

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ISSN 打印: 1543-1649

ISSN 在线: 1940-4352

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Determination of the Overall Yield Strength Domain of Out-of-Plane Loaded Brick Masonry

卷 5, 册 2, 2007, pp. 83-92
DOI: 10.1615/IntJMultCompEng.v5.i2.20
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摘要

In a previous paper by the first author (Sab, K., C. R. Mec. 331:641−643), a homogenization procedure for the yield design of thin periodic plates was proposed and applied to masonry walls. In this paper the authors develop the said approach for both thin and thick periodic brickwork plates, taking into account the effect of texture (stack bond and running bond) and out-of-plane shear forces on the yield strength domain. The periodic brickwork is made of 3D infinitely resistant blocks connected by Mohr-Coulomb interfaces. Following the above-mentioned homogenization procedure, the panel is first modeled as a homogeneous Love-Kirchhoff plate subject to in-plane and out-of-plane loads. Then, it is shown how a Reissner-Mindlin model can be adopted in order to capture the effect of out-of-plane shear forces. A kinematic approach for the determination of the overall strength domain is performed. For a stack bond pattern, the projection of this strength domain on subspace M12 = 0 is analytically obtained and bounds on the extreme values of M12 are derived. For a running bond pattern, analytical, and numerical characterizations of the strength domain are reported.

对本文的引用
  1. Mathieu N. J., Sab K., Zaïmi S. A., An enhanced homogenization approach for masonry structures with compressible joints. Application to hearth thermomechanical computations, International Journal for Numerical and Analytical Methods in Geomechanics, 36, 9, 2012. Crossref

  2. Sahlaoui Ramzi, Sab Karam, Heck Jean-Vivien, Yield strength of masonry-like structures containing thin adhesive joints: 3D or 2D-interface model for the joints?, Comptes Rendus Mécanique, 339, 6, 2011. Crossref

  3. Dallot Julien, Sab Karam, Foret Gilles, Limit analysis of periodic beams, European Journal of Mechanics - A/Solids, 28, 1, 2009. Crossref

  4. Dallot Julien, Sab Karam, Godet Olivier, Experimental validation of a homogenized plate model for the yield design of masonry walls, Comptes Rendus Mécanique, 336, 6, 2008. Crossref

  5. Sab Karam, Overall ultimate yield strength of a quasi-periodic masonry, Comptes Rendus Mécanique, 337, 8, 2009. Crossref

  6. Milani Gabriele, Taliercio Alberto, Limit analysis of transversally loaded masonry walls using an innovative macroscopic strength criterion, International Journal of Solids and Structures, 81, 2016. Crossref

  7. Godio Michele, Stefanou Ioannis, Sab Karam, Sulem Jean, Sakji Seddik, A limit analysis approach based on Cosserat continuum for the evaluation of the in-plane strength of discrete media: Application to masonry, European Journal of Mechanics - A/Solids, 66, 2017. Crossref

  8. Godio Michele, Stefanou Ioannis, Sab Karam, Sulem Jean, Cosserat Elastoplastic Finite Elements for Masonry Structures, Key Engineering Materials, 624, 2014. Crossref

  9. Malena Marialaura, Portioli Francesco, Gagliardo Raffaele, Tomaselli Giovanni, Cascini Lucrezia, de Felice Gianmarco, Collapse mechanism analysis of historic masonry structures subjected to lateral loads: A comparison between continuous and discrete models, Computers & Structures, 220, 2019. Crossref

  10. Milani G., Taliercio A., Homogenization limit analysis, in Numerical Modeling of Masonry and Historical Structures, 2019. Crossref

  11. De Felice Gianmarco, Malena Marialaura, Failure pattern prediction in masonry, Journal of Mechanics of Materials and Structures, 14, 5, 2019. Crossref

  12. Tiberti Simone, Milani Gabriele, Fast brick-based homogenized limit analysis for in- and out-of-plane loaded periodic masonry panels, Computers & Structures, 231, 2020. Crossref

  13. Tiberti Simone, Milani Gabriele, 3D homogenized limit analysis of non-periodic multi-leaf masonry walls, Computers & Structures, 234, 2020. Crossref

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