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D. Baraldi, A. Cecchi, A. Tralli, "Discrete and Continuous Models for Out-of-Plane Loaded Masonry Like Structures: A Multiscale Comparative Study", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 207, 2015. doi:10.4203/ccp.108.207

Keywords: masonry, out-of-plane analysis, discrete model, Kirchhoff plate, Mindlin plate, homogenisation, elasticity.

Summary

This paper presents a critical review of several analytical and numerical models that may be adopted for studying the out-of-plane behaviour of masonry structures having regular texture, with particular attention to the case of historical masonry, that is characterized by rigid blocks connected by mortar joints modelled as elastic interfaces. Discrete model, Love-Kirchhoff and Reissner-Mindlin plate models and a full three-dimensional heterogeneous finite element model are considered. The elastic parameters of both plate models are based on an existing compatible identification between a three-dimensional discrete model and two-dimensional plate models. Numerical tests are carried on by defining four case studies and paying attention to an in-plane scale factor, representing the size of heterogeneity of the masonry pattern, and to an out-of-plane scale factor, representing the thickness of the structure. Numerical tests show that the existing discrete model is simple and effective for representing masonry behaviour, especially when the magnitude of the heterogeneity is large with respect to the overall size of the panel. Increasing the in-plane scale factor, both plate models converge to the discrete one, but the Reissner-Mindlin plate model shows a better convergence and also allows the adoption of a simple plate finite element for performing numerical analysis.

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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: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 207 Discrete and Continuous Models for Out-of-Plane Loaded Masonry Like Structures: A Multiscale Comparative Study D. Baraldi¹, A. Cecchi¹ and A. Tralli² ¹Department of Architecture Construction Conservation DACC, University IUAV of Venice, Italy ²Department of Engineering, University of Ferrara, Italy doi:10.4203/ccp.108.207 purchase the full-text of this paper Full Bibliographic Reference for this paper D. Baraldi, A. Cecchi, A. Tralli, "Discrete and Continuous Models for Out-of-Plane Loaded Masonry Like Structures: A Multiscale Comparative Study", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 207, 2015. doi:10.4203/ccp.108.207 Keywords: masonry, out-of-plane analysis, discrete model, Kirchhoff plate, Mindlin plate, homogenisation, elasticity. Summary This paper presents a critical review of several analytical and numerical models that may be adopted for studying the out-of-plane behaviour of masonry structures having regular texture, with particular attention to the case of historical masonry, that is characterized by rigid blocks connected by mortar joints modelled as elastic interfaces. Discrete model, Love-Kirchhoff and Reissner-Mindlin plate models and a full three-dimensional heterogeneous finite element model are considered. The elastic parameters of both plate models are based on an existing compatible identification between a three-dimensional discrete model and two-dimensional plate models. Numerical tests are carried on by defining four case studies and paying attention to an in-plane scale factor, representing the size of heterogeneity of the masonry pattern, and to an out-of-plane scale factor, representing the thickness of the structure. Numerical tests show that the existing discrete model is simple and effective for representing masonry behaviour, especially when the magnitude of the heterogeneity is large with respect to the overall size of the panel. Increasing the in-plane scale factor, both plate models converge to the discrete one, but the Reissner-Mindlin plate model shows a better convergence and also allows the adoption of a simple plate finite element for performing numerical analysis. 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 £75 +P&P)
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