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Keywords: masonry structure, interface damage, homogenization, asymptotic analysis, finite element method.

Summary

The aim of this paper is to predict the damage of masonry by coupling structural analysis and homogenization methods. For a masonry structure made up of bricks and mortar one supposes the existence of a third material mixture of the two first elements and located between them. This new element presents a low thickness and a given damage ratio. The mechanical problem of masonry, initially a three-dimensional problem, is solved numerically as a two-dimensional problem using finite element methods and considering three materials: brick, mortar and the defined interface material. The properties of the last material are obtained using the three following steps: firstly an exact homogenisation of a brick/mortar laminates defining a first homogeneous equivalent medium (HEM-1). Secondly, one supposes that HEM-1 is damaged and we apply the Kachanov model [1] to evaluate the global behaviour of the damaged HEM-1 defining thus a second equivalent homogeneous medium denoted HEM-2. Thirdly, asymptotic analysis [2] is used to model HEM-2 as an interface or a joint. The properties of this last medium are deduced from those of the HEM-2 material. Numerically this interface is modelled with connector finite elements.

The first part of the paper is devoted to the presentation of the proposed model of interface. In the second part, the numerical results considering real configurations of masonry structures are compared to experimental ones [3], demonstrating the discussion of the reliability of the proposed model.

References

1: C. Mauge, M. Kachanov, "Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks", J. Mech. Phys. Solids, 42, 561-584, 1994. doi:10.1016/0022-5096(94)90052-3
2: F. Lebon, S. Ronel-Idrissi, "Asymptotic studies of Mohr-Coulomb and Drucker-Prager soft thin layers", International Journal of Steel and Composite Structures, 4, 133-148, 2004.
3: A. Gabor, A. Bennani, E. Jacquelin, F. Lebon, "Modelling approaches of the in-plane shear behaviour of unreinforced and FRP strengthened masonry panels", Comp. Struct., 74, 277-288, 2006. doi:10.1016/j.compstruct.2005.04.012

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 89 PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: M. Papadrakakis and B.H.V. Topping Paper 22 Homogenization Methods for Interface Modelling in Damaged Masonry A. Rekik¹ and F. Lebon² ¹LMSP, Polytech'Orléans, France ²Mechanics and Acoustics Laboratory, CNRS, Marseille, France doi:10.4203/ccp.89.22 purchase the full-text of this paper Full Bibliographic Reference for this paper A. Rekik, F. Lebon, "Homogenization Methods for Interface Modelling in Damaged Masonry", in M. Papadrakakis, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 22, 2008. doi:10.4203/ccp.89.22 Keywords: masonry structure, interface damage, homogenization, asymptotic analysis, finite element method. Summary The aim of this paper is to predict the damage of masonry by coupling structural analysis and homogenization methods. For a masonry structure made up of bricks and mortar one supposes the existence of a third material mixture of the two first elements and located between them. This new element presents a low thickness and a given damage ratio. The mechanical problem of masonry, initially a three-dimensional problem, is solved numerically as a two-dimensional problem using finite element methods and considering three materials: brick, mortar and the defined interface material. The properties of the last material are obtained using the three following steps: firstly an exact homogenisation of a brick/mortar laminates defining a first homogeneous equivalent medium (HEM-1). Secondly, one supposes that HEM-1 is damaged and we apply the Kachanov model [1] to evaluate the global behaviour of the damaged HEM-1 defining thus a second equivalent homogeneous medium denoted HEM-2. Thirdly, asymptotic analysis [2] is used to model HEM-2 as an interface or a joint. The properties of this last medium are deduced from those of the HEM-2 material. Numerically this interface is modelled with connector finite elements. The first part of the paper is devoted to the presentation of the proposed model of interface. In the second part, the numerical results considering real configurations of masonry structures are compared to experimental ones [3], demonstrating the discussion of the reliability of the proposed model. References 1 C. Mauge, M. Kachanov, "Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks", J. Mech. Phys. Solids, 42, 561-584, 1994. doi:10.1016/0022-5096(94)90052-3 2 F. Lebon, S. Ronel-Idrissi, "Asymptotic studies of Mohr-Coulomb and Drucker-Prager soft thin layers", International Journal of Steel and Composite Structures, 4, 133-148, 2004. 3 A. Gabor, A. Bennani, E. Jacquelin, F. Lebon, "Modelling approaches of the in-plane shear behaviour of unreinforced and FRP strengthened masonry panels", Comp. Struct., 74, 277-288, 2006. doi:10.1016/j.compstruct.2005.04.012 purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £95 +P&P)
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