A nonlinear homogenization procedure for periodic masonry |
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| Authors: | Elio Sacco |
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| Institution: | 1. Department of Structures for Engineering and Architecture, University of Naples Federico II, via Forno Vecchio 36, 80134 Naples, Italy;2. Department of Civil and Structural Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK;1. Department of Architecture, Built Environment & Construction Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy;2. Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy;1. Department of Civil, Chemical, Environmental, and Materials Engineering (DICAM), University of Bologna, Viale del Risorgimento 2, Bologna 40136, Italy;2. School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, UK;1. Technical University of Milan, Piazza Leonardo da Vinci 32, 20133, Italy;2. Dept. of Architecture, Built Environment and Construction Engineering, Technical University of Milan, Piazza Leonardo da Vinci 32, 20133 Milan, Italy |
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| Abstract: | The present paper deals with the problem of the determination of the in-plane behavior of masonry material. The masonry is considered as a composite material composed by a regular distribution of blocks connected by horizontal and vertical mortar joints. The overall constitutive relationships of the regular masonry are derived by a rational micromechanical and homogenization procedure. Linear elastic constitutive relationship is considered for the blocks, while a new special nonlinear constitutive law is proposed for the mortar joints. In particular, a mortar constitutive law, which accounts for the coupling of the damage and friction phenomena occurring during the loading history, is proposed; the developed model is based on an original micromechanical analysis of the damage process of the mortar joint. Then, an effective nonlinear homogenization procedure, representing the main novelty of the paper, is proposed; it is based on the transformation field analysis, using the technique of the superposition of the effects and the finite element method. The presented methodology is implemented in a numerical code. Finally, numerical applications are performed in order to assess the performances of the proposed procedure in reproducing the mechanical behavior of masonry material. |
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