Abstract

Cross masonry vaults are common structural elements in historical buildings. They are largely diffused in all European countries, including those characterized by higher levels of seismicity. Although they have been constructed for centuries, they represent some of the most vulnerable elements of traditional architecture, especially with reference to horizontal loads. The understanding of their structural behaviour under seismic loading is a crucial aspect for the accurate assessment of the safety of historical buildings. In the present work, the seismic response of cross masonry vaults is analysed through the Finite Element Method (FEM) and static non-linear analyses considering the effect of different brick patterns and boundary conditions. A simplified micro-modelling approach is adopted for the generation of the FEM models and two different brick arrangements are considered, i.e., radial bricks and diagonal bricks, which are the most widespread in European cross vaults. Two different boundary conditions are assumed in order to simulate a vault with and without lateral confinement. Static non-linear analyses are performed by monotonically incrementing a lateral acceleration until collapse. Results are analysed in terms of maximum load factor, stiffness, ductility, crack pattern and damage mechanisms. The analysis of the results shows that not only boundary conditions, but also the brick pattern strongly influences the vault seismic response both in terms of stiffness and ductility as well as in terms of global capacity.

Highlights

  • The assessment of the seismic vulnerability of masonry vaults is crucial for the safeguard of ancient masonry buildings

  • A numerical study is conducted with the aim of highlighting two main effects on the seismic response of the cross vault, namely the effect of the brick pattern and of the confinement

  • The geometry of an ideal vault is considered taking into account its detailed brick pattern

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Summary

Introduction

Vaulted structures have been constructed for centuries and are widely diffused in many heritage buildings in high seismic risk European countries (Gaetani et al 2016; Carfagnini et al 2018; Bertolesi et al 2019). Some approaches have been formulated for the simplified modelling of vaults when they are present as floor system in the masonry building, the knowledge of their seismic response being crucial for predicting a reliable distribution of horizontal forces To this end, some authors found that the evaluation of an equivalent plane element replacing the vaulted floor can be an effective solution, allowing some vault typologies to be included in the global seismic analysis in form of isotropic or orthotropic membranes, assessing an equivalent elastic stiffness in order to idealize these horizontal structural elements (Cattari et al 2008; Marseglia et al 2020).

Description of the model
Load and boundary conditions
Numerical analyses
Effects of brick pattern
Effects of boundary conditions
Conclusions
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