ECCOMAS 2024

Fast seismic vulnerability analysis of historical masonry structures by means of a novel limit analysis-based approach

  • Buzzetti, Martina (Politecnico di Milano)
  • Pingaro, Natalia (Politecnico di Milano)
  • Milani, Gabriele (Politecnico di Milano)

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Historical masonry structures are widespread all over Europe, and most of them are in seismic areas, such as in Italy, Spain and Portugal. Therefore, for the preservation of the historical cultural heritage of such countries, a seismic vulnerability assessment is fundamental. Nowadays, many methods of analysis are available. Unfortunately, they can be sometimes very expensive in terms of computational burden and the results obtained strongly influenced by the input parameters adopted. It is notorious, for instance, that FEM non-linear static analyses, especially for big and complex structures, are affected by a quite large scatter of the output. The aim of this contribution is to present a homemade limit analysis-based method to assess in a fast and reliable manner the seismic vulnerability of historical masonry structures. The approach is based on a discretization by means of infinitely resistant hexahedron elements and quadrilateral interfaces where all dissipation occurs. The collapse load is obtained through a kinematic approach. When non-linearities are lumped on interfaces, static and kinematic problems coincide, being one the dual of the other. The first provides a failure mechanism, interfaces plastic multipliers and collapse multipliers, while with the second the internal forces acting on interfaces are retrieved. The case study adopted to benchmark the procedure proposed is a historical palace (Vittorio Emanuele II building) located in Piacenza, Italy. It is a very big masonry structure, characterized by an E-shape plan and by the presence of numerous vaults. The results obtained with the limit analysis-based approach are compared to those coming from FEM analyses.