Vol. 2, No. 2, 2007

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ISSN: 1559-3959
Static analysis of masonry vaults, constitutive model and numerical analysis

Massimiliano Lucchesi, Cristina Padovani, Giuseppe Pasquinelli and Nicola Zani

Vol. 2 (2007), No. 2, 221–244
Abstract

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
Milestones
Received: 8 May 2006
Accepted: 18 September 2006
Published: 1 April 2007
Authors
Massimiliano Lucchesi
Dipartimento di Costruzioni
Università di Firenze
Piazza Brunelleschi 6
50121 Firenze
Italia
Cristina Padovani
Istituto di Scienza e Tecnologie dell’Informazione Alessandro Faedo
ISTI-CNR
Via G. Moruzzi 1
56124 Pisa
Italia
Giuseppe Pasquinelli
Istituto di Scienza e Tecnologie dell’Informazione Alessandro Faedo
ISTI-CNR
Via G. Moruzzi 1
56124 Pisa
Italia
Nicola Zani
Dipartimento di Costruzioni
Università di Firenze
Piazza Brunelleschi 6
50121 Firenze
Italia