Technical Papers
Dec 20, 2011

Safety Assessment of Four Masonry Churches by a Plate and Shell FE Nonlinear Approach

Publication: Journal of Performance of Constructed Facilities
Volume 27, Issue 1

Abstract

A full three-dimensional finite-element (FE) homogenized modeling computer program for the evaluation of the nonlinear static behavior of entire masonry structures subjected to horizontal actions is presented and tested on four large-scale masonry churches located in the central region of Italy. At the structural level, masonry is modeled as a homogeneous, orthotropic material featuring softening in tension, shear, and compression. Rigid, infinitely resistant triangular elements connected by elastoplastic interfaces are used to perform full-scale nonlinear analyses. To reduce further processing time needed for the simulations, preliminary FE limit analyses were conducted to identify the failure mechanisms, and hence the interfaces that undergo plasticization during the deformation process. In this way, it is possible to concentrate nonlinearity exclusively on those interfaces that prove active in the limit-analysis problem. Finally, full nonlinear pushover curves are compared with collapse loads; the latter is provided by a limit analysis that assumes a limited number of possible preassigned failure mechanisms, as required by the recent Italian Building Code guidelines on monumental buildings.

Get full access to this article

View all available purchase options and get full access to this article.

References

Augusti, G., Ciampoli, M., and Giovenale, P. (2001). “Seismic vulnerability of monumental buildings.” Struct. Saf., 23(3) 253–274.
Augusti, G., Ciampoli, M., and Zanobi, S. (2002). “Bounds to the probability of collapse of monumental buildings.” Struct. Saf., 24(2) 89–105.
Beolchini, G., Milano, L., and Antonacci, E. (2006). “Protocollo di progettazione per la realizzazione degli interventi di ricostruzione post-sisma sugli edifici privati.” Decreto No. 76 03/08/2005, Regione Molise, Campobasso, Italy (in Italian).
Brandonisio, G. (2007). “Analisi di edifici a pianta basilicale soggetti ad azioni sismiche.” Ph.D. thesis, Univ. of Naples Federico II, Naples, Italy (in Italian).
Caliò, I., Marletta, M., and Pantò, B. (2004). “Un semplice macro-elemento per la valutazione della vulnerabilità sismica di edifici in muratura [A simple macro-element for the seismic vulnerability evaluation of masonry buildings].” Proc., ANIDIS, XI Congresso Nazionale “L’ingegneria Sismica in Italia,” Faculty of Architecture, Univ. of Genoa, Genoa, Italy (in Italian).
Casolo, S. (1999). “Rigid element model for non-linear analysis of masonry façades subjected to out-of-plane loading.” Commun. Numer. Methods Eng., 15(7), 457–468.
Cavicchi, A., and Gambarotta, L. (2007). “Lower bound limit analysis of masonry bridges including arch–fill interaction.” Eng. Structures, 29(11), 3002–3014.
Devaux, M. (2008). “Seismic vulnerability of cultural heritage buildings in Switzerland.” Ph.D. thesis, Ecole poyltechnique fédérale de Lausanne, Lausanne, Switzerland.
D’Ayala, D., and Speranza, E. (2003). “Definition of collapse mechanisms and seismic vulnerability of historic masonry buildings.” Earthq. Spectra, 19(3), 479–509.
DM 14/01/2008. Ministero delle Infrastrutture. (2008). “Nuove norme tecniche per le costruzioni.” GU No. 29 04/02/2008, Rome (in Italian).
Doglioni, F., Moretti, A., and Petrini, V. (1994). Le chiese e il terremoto, Edizioni LLINT, Trieste, Italy (in Italian).
DPCM. (2011). “Direttiva del Presidente del Consiglio dei Ministri 09.02.2011 per la valutazione e la riduzione del rischio sismico del patrimonio culturale con riferimento alle norme tecniche per le costruzioni DM 14.01.2008.” GU No. 47 del 26/02/2011, Presidenza del Consiglio dei Ministri, Rome (in Italian).
Giordano, A. (2001). “Sulla capacità sismica delle chiese a pianta basilicale.” Ph.D. thesis, Univ. of Naples Federico II, Naples, Italy (in Italian).
Giuffrè, A. (1993). Safety and conservation of historical centers: The Ortigia case, Laterza Press, Rome.
Krabbenhøft, K., Lyamin, A. V., and Sloan, S. W. (2007). “Formulation and solution of some plasticity problems as conic programs.” Int. J. Solids Struct., 44(5), 1533–1549.
Krabbenhøft, K., Lyamin, A. V., Hjiaj, M., and Sloan, S. W. (2005). “A new discontinuous upper bound limit analysis formulation.” Int. J. Numer. Methods Eng., 63(7), 1069–1088.
Lagomarsino, S. (1998). “A new methodology for the post-earthquake investigation of ancient churches.” 11th European Conf. on Earthquake Eng., Taylor & Francis, London.
Lagomarsino, S., and Resemini, S. (2009). “The assessment of damage limitation state in the seismic analysis of monumental buildings.” Earthq. Spectra, 25(2), 323–346.
Lourenço, P. B., and Roque, J. A. (2006). “Simplified indexes for the seismic vulnerability of ancient masonry buildings.” Construct. Build. Mater., 20(4), 200–208.
Lourenço, P. B. (2000). “Anisotropic softening model for masonry plates and shells.” J. Struct. Eng., 126(9), 1008–1016.
Milani, G., and Benasciutti, D. (2010). “Homogenized limit analysis of masonry structures with random input properties: Polynomial response surface approximation and Monte Carlo simulations.” Struct. Eng. Mech., 34(4), 417–447.
Milani, G., and Lourenço, P. B. (2009). “A discontinuous quasi-upper bound limit analysis approach with sequential linear programming mesh adaptation.” Int. J. Mech. Sci., 51(1), 89–104.
Milani, G., and Lourenço, P. B. (2010). “A simplified homogenized limit analysis model for randomly assembled blocks out-of-plane loaded.” Comput. Struc., 88(11–12), 690–717.
Milani, G., Lourenço, P. B., and Tralli, A. (2006a). “Homogenized limit analysis of masonry walls. Part I: Failure surfaces.” Comput. Struc., 84(3–4), 166–180.
Milani, G., Lourenço, P. B., and Tralli, A. (2006b). “Homogenized limit analysis of masonry walls. Part II: Structural examples.” Comput. Struc., 84(3–4), 181–195.
Milani, G., Lourenço, P. B., and Tralli, A. (2006c). “Homogenization approach for the limit analysis of out-of-plane loaded masonry walls.” J. Struct. Eng., 132(10), 1650–1663.
Milani, G., Lourenço, P. B., and Tralli, A. (2007). “3D Homogenized limit analysis of masonry buildings under horizontal loads.” Eng. Structures, 29(11), 3134–3148.
Milani, G., and Venturini, G. (2011). “Automatic fragility curve evaluation of masonry churches accounting for partial collapses by means of 3D FE homogenized limit analysis.” Comput. Struc., 89(17), 1628–1648.
Milani, G. (2011). “Simple homogenization model for the non-linear analysis of in-plane loaded masonry walls.” Comput. Struc., 89(17), 1586–1601.
Norme Tecniche per le Costruzioni (NTC). (2008a). “Nuove norme tecniche per le costruzioni,” GU No. 29 04/02/2008), Rome, 14/01/2008 and Circolare 2 Febbraio 2009, No. 617 Istruzioni per l’applicazione delle, Ministero delle Infrastrutture e Trasporti, Rome (in Italian).
Norme Tecniche per le Costruzioni (NTC). (2008b). “Nuove norme tecniche per le costruzioni,” GU No. 47 del 26/2/2009-Suppl. Ordinario No. 27, di cui al decreto ministeriale 14 gennaio, Ministero delle Infrastrutture e Trasporti, Rome (in Italian).
Ramos, L., and Lourenço, P. B. (2004). “Modeling and vulnerability of historical city centers in seismic areas: A case study in Lisbon.” Eng. Structures, 26(9), 1295–1310.
Zuccarello, F. A., Milani, G., Olivito, R. S., and Tralli, A. (2009). “A numerical and experimental analysis of unbounded brickwork panels laterally loaded.” Construct. Build. Mater., 23(5), 2093–2106.

Information & Authors

Information

Published In

Go to Journal of Performance of Constructed Facilities
Journal of Performance of Constructed Facilities
Volume 27Issue 1February 2013
Pages: 27 - 42

History

Received: Jun 23, 2011
Accepted: Dec 15, 2011
Published online: Dec 20, 2011
Published in print: Feb 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Gabriele Milani [email protected]
Researcher, Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy (corresponding author). E-mail: [email protected]
Gennj Venturini
Chief Executive Officer, 2SI Software e Servizi per l’Ingegneria, Via Garibaldi 90, 44121 Ferrara, Italy.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share