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G. Milani, A. Taliercio, "A Method of Cells-Type Approach to predict the Macroscopic Strength of Masonry Walls in Two-Way Bending", 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 62, 2015. doi:10.4203/ccp.108.62

Keywords: masonry, homogenization, transverse loads, limit analysis, upper bound.

Summary

Following an approach recently presented by the authors to estimate the in-plane homogenized failure surfaces of masonry walls with joints of finite thickness, in this paper an extension is proposed to predict the macroscopic strength properties of walls subjected to out-of-plane loads. Similarly to the so-called method of cells for fiber-reinforced composites, a typical representative volume is subdivided into a few sub-cells, and a strain-rate periodic, piecewise differentiable velocity field, depending on a limited number of degrees of freedom, is defined. Upper bounds to the macroscopic strength domain of the wall in the space of the macroscopic bending and twisting moments are obtained by applying the kinematic theorem of limit analysis within the framework of homogenization theory for periodic media. By means of standard linear mathematical programming, several points of the approximated macroscopic failure surface are determined, each one representing an upper bound to the ultimate load bearing capacity of the wall under given moment combinations. The approximated macroscopic failure surfaces are in good agreement with those previously obtained, at a much higher computational cost, by alternative numerical approaches.

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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 62 A Method of Cells-Type Approach to predict the Macroscopic Strength of Masonry Walls in Two-Way Bending G. Milani¹ and A. Taliercio² ¹Department of Architecture, Built Environment and Construction Engineering, Politecnico di Milano, Milan, Italy ²Department of Civil and Environment Engineering, Politecnico di Milano, Milan, Italy doi:10.4203/ccp.108.62 purchase the full-text of this paper Full Bibliographic Reference for this paper G. Milani, A. Taliercio, "A Method of Cells-Type Approach to predict the Macroscopic Strength of Masonry Walls in Two-Way Bending", 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 62, 2015. doi:10.4203/ccp.108.62 Keywords: masonry, homogenization, transverse loads, limit analysis, upper bound. Summary Following an approach recently presented by the authors to estimate the in-plane homogenized failure surfaces of masonry walls with joints of finite thickness, in this paper an extension is proposed to predict the macroscopic strength properties of walls subjected to out-of-plane loads. Similarly to the so-called method of cells for fiber-reinforced composites, a typical representative volume is subdivided into a few sub-cells, and a strain-rate periodic, piecewise differentiable velocity field, depending on a limited number of degrees of freedom, is defined. Upper bounds to the macroscopic strength domain of the wall in the space of the macroscopic bending and twisting moments are obtained by applying the kinematic theorem of limit analysis within the framework of homogenization theory for periodic media. By means of standard linear mathematical programming, several points of the approximated macroscopic failure surface are determined, each one representing an upper bound to the ultimate load bearing capacity of the wall under given moment combinations. The approximated macroscopic failure surfaces are in good agreement with those previously obtained, at a much higher computational cost, by alternative numerical approaches. 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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