Cosserat model for periodic masonry deduced by nonlinear homogenization |
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| Authors: | Daniela Addessi Elio Sacco Achille Paolone |
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| Institution: | 1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, Via Eudossiana, 18, 00184 Roma, Italy;2. Dipartimento di Meccanica, Strutture, Ambiente e Territorio, Università di Cassino Via G. Di Biasio 43, 03043 Cassino, Italy;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;1. Department of Civil, Construction-Architectural and Environmental Engineering, University of L’Aquila, Italy;2. Department of Civil and Mechanical Engineering, University of Cassino and Southern Lazio, Italy;1. School of Engineering, Newcastle University, Newcastle upon Tyne, UK;2. National Laboratory for Civil Engineering, Lisbon, Portugal;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 |
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| Abstract: | The paper deals with the problem of the determination of the in-plane behavior of periodic masonry material. The macromechanical equivalent Cosserat medium, which naturally accounts for the absolute size of the constituents, is derived by a rational homogenization procedure based on the Transformation Field Analysis. The micromechanical analysis is developed considering a Cauchy model for masonry components. In particular, a linear elastic constitutive relationship is considered for the blocks, while a nonlinear constitutive law is adopted for the mortar joints, accounting for the damage and friction phenomena occurring during the loading history. Some numerical applications are performed on a Representative Volume Element characterized by a selected commonly used texture, without performing at this stage structural analyses. A comparison between the results obtained adopting the proposed procedure and a nonlinear micromechanical Finite Element Analysis is presented. Moreover, the substantial differences in the nonlinear behavior of the homogenized Cosserat material model with respect to the classical Cauchy one, are illustrated. |
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