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Static analysis of
masonry vaults, constitutive model and numerical analysis
Massimiliano Lucchesi, Cristina Padovani, Giuseppe Pasquinelli and Nicola Zani |
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Vol. 2 (2007), No. 2, 221–244
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Abstract |
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The paper deals with some of the explicit and numerical methods used for modeling the mechanical behavior of masonry vaults and domes. After a brief description of the constitutive equation of masonry-like materials, a numerical method for the structural analysis of masonry vaults is presented. Then, the concept of maximum modulus eccentricity surface for masonry vaults is recalled. Subsequently, the collapse load and the corresponding mechanism are explicitly calculated for two particular cases: a circular plate subjected to a permanent load acting on the lateral surface and a variable vertical load applied to the extrados, and a spherical dome subjected to its own weight and variable point load applied to the keystone. The exact solutions are compared to the numerical results obtained via finite element analysis. Lastly, a study of the dome of the church of Santa Maria Maddalena in Morano Calabro is described. The method has enabled the stress field and the fractures distribution in the dome to be determined and the maximum modulus eccentricity surface to be evaluated. |
Keywords
masonry vaults, nonlinear elasticity, finite-element
method, static analysis, limit analysis
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Milestones
Received: 8 May 2006
Accepted: 18 September 2006
Published: 1 April 2007
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Authors |
| Massimiliano Lucchesi | |
| Dipartimento di Costruzioni Università di Firenze Piazza Brunelleschi 6 50121 Firenze Italia |
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| Cristina Padovani | |
| Istituto di Scienza e Tecnologie
dell’Informazione Alessandro Faedo ISTI-CNR Via G. Moruzzi 1 56124 Pisa Italia |
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| Giuseppe Pasquinelli | |
| Istituto di Scienza e Tecnologie
dell’Informazione Alessandro Faedo ISTI-CNR Via G. Moruzzi 1 56124 Pisa Italia |
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| Nicola Zani | |
| Dipartimento di Costruzioni Università di Firenze Piazza Brunelleschi 6 50121 Firenze Italia |
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