PSI - Issue 64

Corrado Chisari et al. / Procedia Structural Integrity 64 (2024) 199–205 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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(a) (b) Fig. 1. (a) Typical plan view of a three-nave Italian church with highlighted the investigated mechanism, and (b) general view of a typical analyzed cross vault with main geometrical parameters. The values of the geometrical ratios assumed in the parametric study are shown in Table 1. They may be considered as representative bounds of real cross vaults of Italian heritage. The vault models were created by means of Gmsh software (Geuzaine and Remacle, 2009), and had average mesh size equal to t .

Table 1. The assumed geometrical ratios for the parametric study e/s t/s t w /t t r /t

0.5 0.15 0.2 0.5 1.5 0.20 0.8 1.0

Considering all possible combinations of the input parameters, a total of 16 nonlinear analyses were performed. The material parameters used for the vault are typical of tuff masonry, as reported in (Ministero delle Infrastrutture e dei Trasporti, 2018). They are shown in Table 2.

Table 2. Material properties of masonry. Property

Value

Young’s modulus [MPa]

1410

Poisson’s ratio [ -]

0.2 2.6

Compressive strength [MPa]

Tensile strength [MPa] 0.09 Compressive fracture energy [N/mm] 16.09 Tensile fracture energy [N/mm] 0.105 Strain at compressive strength [-] 0.015

3. Results 3.1 Force-displacement plots The results are displayed in Fig. 2 as force-displacement plot at the moving supports.