Abstract

This work evaluated the remarkable influence of stereotomy on discrete methods adopted for the dynamic response of an ancient masonry structure. The historic building used as a case study is the Church of Santa Maria of Varano in Muccia, in the province of Macerata, Italy, which was exposed to the severe seismic sequence that hit Central Italy in 2016, namely the major events of Accumoli, Visso, and Norcia. The structure was modeled using the actual stereotomy of blocks and three hypothetical arrangements of blocks of the masonry walls to investigate the existing crack pattern and vulnerabilities of the church. Sensitivity analyses were performed using the nonsmooth contact dynamics and discrete-element methods. These novel approaches suitably reproduced complex behaviors, considering large displacements and complete block separations, which is useful for upcoming retrofitting works.

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Data Availability Statement

All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors express their gratitude to Itasca and Harpaceas for providing access to and support for 3DEC under the IEP program. The authors greatly thank the Archdiocese of Camerino and the Superintendence for Architectural and Landscape Heritage of the Marche Region for kindly providing support during the preparation of this work. The support of the Italian Ministry of University (Italy), under the program “Dipartimento di Eccellenza” of DICEA-UNIVPM, is also acknowledged.

References

Azevedo, J., G. Sincraian, and J. V. Lemos. 2000. “Seismic behavior of blocky masonry structures.” Earthquake Spectra 16 (2): 337–365. https://doi.org/10.1193/1.1586116.
Beatini, V., G. Royer-Carfagni, and A. Tasora. 2019. “A non-smooth-contact-dynamics analysis of Brunelleschi’s cupola: An octagonal vault or a circular dome?” Meccanica 54 (3): 525–547. https://doi.org/10.1007/s11012-018-00934-9.
Betti, M., L. Galano, and A. Vignoli. 2014. “Comparative analysis on the seismic behaviour of unreinforced masonry buildings with flexible diaphragms.” Eng. Struct. 61 (Mar): 195–208. https://doi.org/10.1016/j.engstruct.2013.12.038.
Brandonisio, G., G. Lucibello, E. Mele, and A. De Luca. 2013. “Damage and performance evaluation of masonry churches in the 2009 L’Aquila earthquake.” Eng. Fail. Anal. 34 (Dec): 693–714. https://doi.org/10.1016/j.engfailanal.2013.01.021.
Çaktı, E., Ö. Saygılı, J. V. Lemos, and C. S. Oliveira. 2020. “Nonlinear dynamic response of stone masonry minarets under harmonic excitation.” Bull. Earthquake Eng. 18 (10): 4813–4838. https://doi.org/10.1007/s10518-020-00888-y.
Chieffo, N., A. Formisano, and T. Miguel Ferreira. 2019. “Damage scenario-based approach and retrofitting strategies for seismic risk mitigation: An application to the historical Centre of Sant’Antimo (Italy).” Eur. J. Environ. Civ. Eng. https://doi.org/10.1080/19648189.2019.1596164.
Clementi, F., A. Ferrante, E. Giordano, F. Dubois, and S. Lenci. 2020. “Damage assessment of ancient masonry churches stroked by the Central Italy earthquakes of 2016 by the non-smooth contact dynamics method.” Bull. Earthquake Eng. 18 (2): 455–486. https://doi.org/10.1007/s10518-019-00613-4.
Cundall, P. A. 1971. “A computer model for simulating progressive large-scale movements in blocky rock systems.” In Proc., Symp. of the Int. Society of Rock Mechanics. Salzburg, Austria: International Society for Rock Mechanics.
Dalalbashi, A., B. Ghiassi, and D. V. Oliveira. 2021. “Textile-to-mortar bond behavior: An analytical study.” Constr. Build. Mater. 282 (May): 122639. https://doi.org/10.1016/j.conbuildmat.2021.122639.
Dubois, F., V. Acary, and M. Jean. 2018. “The contact dynamics method: A nonsmooth story.” C.R. Méc. 346 (3): 247–262. https://doi.org/10.1016/j.crme.2017.12.009.
Erdogmus, E., B. Pulatsu, A. Gaggioli, and M. Hoff. 2020. “Reverse engineering a fully collapsed ancient roman temple through geoarchaeology and DEM.” Int. J. Archit. Heritage 1–21. https://doi.org/10.1080/15583058.2020.1728593.
Ferrante, A., F. Clementi, and G. Milani. 2020. “Advanced numerical analyses by the non-smooth contact dynamics method of an ancient masonry bell tower.” Math. Methods Appl. Sci. 43 (13): 7706–7725. https://doi.org/10.1002/mma.6113.
Ferrante, A., D. Loverdos, F. Clementi, G. Milani, A. Formisano, S. Lenci, and V. Sarhosis. 2021. “Discontinuous approaches for nonlinear dynamic analyses of an ancient masonry tower.” Eng. Struct. 230 (Mar): 111626. https://doi.org/10.1016/j.engstruct.2020.111626.
Forgács, T., V. Sarhosis, and K. Bagi. 2018. “Influence of construction method on the load bearing capacity of skew masonry arches.” Eng. Struct. 168 (Aug): 612–627. https://doi.org/10.1016/j.engstruct.2018.05.005.
Formisano, A., G. Vaiano, F. Fabbrocino, and G. Milani. 2018. “Seismic vulnerability of Italian masonry churches: The case of the Nativity of Blessed Virgin Mary in Stellata of Bondeno.” J. Build. Eng. 20 (Nov): 179–200. https://doi.org/10.1016/j.jobe.2018.07.017.
Grande, E., B. Ghiassi, and M. Imbimbo. 2019. “Theoretical and FE models for the study of the bond behavior of FRCM systems.” In Numerical modeling of masonry and historical structures, 685–712. Sawston, UK: Woodhead.
Jean, M. 1999. “The non-smooth contact dynamics method.” Comput. Methods Appl. Mech. Eng. 177 (3–4): 235–257. https://doi.org/10.1016/S0045-7825(98)00383-1.
Lemos, J. V. 2007. “Discrete element modeling of masonry structures.” Int. J. Archit. Heritage 1 (2): 190–213. https://doi.org/10.1080/15583050601176868.
Lourenço, P. B. 2002. “Computations on historic masonry structures.” Prog. Struct. Mater. Eng. 4 (3): 301–319. https://doi.org/10.1002/pse.120.
Lozano, R., B. Brogliato, O. Egeland, and B. Maschke. 2002. “Dissipative systems analysis and control. Theory and applications.” Meas. Sci. Technol. 12 (12): 2211. https://doi.org/10.1088/0957-0233/12/12/703.
Luzi, L., S. Hailemikael, D. Bindi, F. Pacor, F. Mele, and F. Sabetta. 2008. “ITACA (ITalian ACcelerometric Archive): A web portal for the dissemination of Italian strong-motion data.” Seismol. Res. Lett. 79 (5): 716–722. https://doi.org/10.1785/gssrl.79.5.716.
Mendes, N., S. Zanotti, and J. V. Lemos. 2020. “Seismic performance of historical buildings based on discrete element method: An adobe church.” J. Earthquake Eng. 24 (8): 1270–1289. https://doi.org/10.1080/13632469.2018.1463879.
Milani, G., and M. Valente. 2015. “Failure analysis of seven masonry churches severely damaged during the 2012 Emilia-Romagna (Italy) earthquake: Non-linear dynamic analyses vs conventional static approaches.” Eng. Fail. Anal. 54 (Aug): 13–56. https://doi.org/10.1016/j.engfailanal.2015.03.016.
Ministero delle infrastrutture e dei trasporti. 2019. Circolare 21 gennaio 2019 n. 7 C.S.LL.PP. Istruzioni per l’applicazione dell’aggiornamento delle ‘Norme Tecniche per le Costruzioni’ di cui al D.M. 17/01/2018 (in Italian). Rome: Consiglio superiore dei Lavori Pubblici.
Moreau, J. J. 1988. “Unilateral contact and dry friction in finite freedom dynamics.” In Nonsmooth mechanics and applications, 1–82. Vienna, Austria: Springer.
Pacor, F., R. Paolucci, L. Luzi, F. Sabetta, A. Spinelli, A. Gorini, M. Nicoletti, S. Marcucci, L. Filippi, and M. Dolce. 2011. “Overview of the Italian strong motion database ITACA 1.0.” Bull. Earthquake Eng. 9 (6): 1723–1739. https://doi.org/10.1007/s10518-011-9327-6.
Psycharis, I. N., J. V. Lemos, D. Y. Papastamatiou, C. Zambas, and C. Papantonopoulos. 2003. “Numerical study of the seismic behaviour of a part of the Parthenon Pronaos.” Earthquake Eng. Struct. Dyn. 32 (13): 2063–2084. https://doi.org/10.1002/eqe.315.
Pulatsu, B., E. Erdogmus, and P. B. Lourenço. 2019. “Comparison of in-plane and out-of-plane failure modes of masonry arch bridges using discontinuum analysis.” Eng. Struct. 178 (Jan): 24–36. https://doi.org/10.1016/j.engstruct.2018.10.016.
Rafiee, A., and M. Vinches. 2013. “Mechanical behaviour of a stone masonry bridge assessed using an implicit discrete element method.” Eng. Struct. 48 (Mar): 739–749. https://doi.org/10.1016/j.engstruct.2012.11.035.
Ramirez, R., H. Maljaee, B. Ghiassi, P. B. Lourenço, and D. V. Oliveira. 2019. “Bond behavior degradation between FRP and masonry under aggressive environmental conditions.” Mech. Adv. Mater. Struct. 26 (1): 6–14. https://doi.org/10.1080/15376494.2018.1534164.
Roca, P., M. Cervera, L. Pelà, R. Clemente, and M. Chiumenti. 2013. “Continuum FE models for the analysis of Mallorca Cathedral.” Eng. Struct. 46 (Jan): 653–670. https://doi.org/10.1016/j.engstruct.2012.08.005.
Sarhosis, V., J. V. Lemos, and K. Bagi. 2019. “Discrete element modeling.” In Numerical modeling of masonry and historical structures, 469–501. Sawston, UK: Woodhead. https://doi.org/10.1016/B978-0-08-102439-3.00013-0.
Simon, J., and K. Bagi. 2016. “Discrete element analysis of the minimum thickness of oval masonry domes.” Int. J. Archit. Heritage 10 (4): 457–475. https://doi.org/10.1080/15583058.2014.996921.
Vasconcelos, G., and P. B. Lourenço. 2009. “Experimental characterization of stone masonry in shear and compression.” Constr. Build. Mater. 23 (11): 3337–3345. https://doi.org/10.1016/j.conbuildmat.2009.06.045.
Wang, X., B. Ghiassi, D. V. Oliveira, and C. C. Lam. 2017. “Modelling the nonlinear behaviour of masonry walls strengthened with textile reinforced mortars.” Eng. Struct. 134 (Mar): 11–24. https://doi.org/10.1016/j.engstruct.2016.12.029.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 147Issue 11November 2021

History

Received: Dec 1, 2020
Accepted: Jun 21, 2021
Published online: Sep 14, 2021
Published in print: Nov 1, 2021
Discussion open until: Feb 14, 2022

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Authors

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Dept. of Civil and Building Engineering, and Architecture, Polytechnic Univ. of Marche, via Brecce Bianche, Ancona 60131, Italy. ORCID: https://orcid.org/0000-0001-6236-9098. Email: [email protected]
Ph.D. Student, Dept. of Civil and Building Engineering, and Architecture, Polytechnic Univ. of Marche, via Brecce Bianche, Ancona 60131, Italy. ORCID: https://orcid.org/0000-0003-4604-0190. Email: [email protected]
Francesca Bianconi [email protected]
Ph.D. Student, Dept. of Civil and Building Engineering, and Architecture, Polytechnic Univ. of Marche, via Brecce Bianche, Ancona 60131, Italy. Email: [email protected]
Gabriele Milani [email protected]
Full Professor, Dept. of Architecture, Built Environment and Construction Engineering, Technical Univ. of Milan, Piazza Leonardo da Vinci 32, Milan 20133, Italy (corresponding author). Email: [email protected]
Associate Professor, Dept. of Civil and Building Engineering, and Architecture, Polytechnic Univ. of Marche, via Brecce Bianche, Ancona 60131, Italy. ORCID: https://orcid.org/0000-0002-9705-777X. Email: [email protected]

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