Publication Cover
International Journal of Architectural Heritage
Conservation, Analysis, and Restoration
Volume 16, 2022 - Issue 12
196
Views
2
CrossRef citations to date
0
Altmetric
Research Article

Funicular Analysis of Ribbed Masonry Vaults: A Case Study

ORCID Icon, ORCID Icon &
Pages 1809-1823 | Received 27 Nov 2020, Accepted 27 Mar 2021, Published online: 23 Jun 2021

References

  • Andreu, A., L. Gil, and P. Roca. 2007. Computational analysis of masonry structures with a funicular model. Journal of Engineering Mechanics 133 (4):473–80. doi:10.1061/(ASCE)0733-9399(2007)133:4(473).
  • Angelillo, M., E. Babilio, and A. Fortunato. 2013. Singular stress fields for masonry-like vaults. Continuum Mechanics and Thermodynamics 25 (2–4):423–41. doi:10.1007/s00161-012-0270-9.
  • Angelillo, M., L. Cardamone, and A. Fortunato. 2010. A numerical model for masonry-like structures. Journal of Mechanics of Materials and Structures 5 (4):583–615. doi:10.2140/jomms.2010.5.583.
  • Angelillo, M., A. Fortunato, A. Montanino, and M. Lippiello. 2014. Singular stress fields in masonry structures: Derand was right. Meccanica 49 (5):1243–62. doi:10.1007/s11012-014-9880-6.
  • Baratta, A., and O. Corbi. 2011. On the statics of no-tension masonry-like vaults and shells: Solution domains, operative treatment and numerical validation. Annals of Solid and Structural Mechanics 2 (2–4):107–22. doi:10.1007/s12356-011-0022-8.
  • Beatini, V., G. Royer-Carfagni, and A. Tasora. 2018. The role of frictional contact of constituent blocks on the stability of masonry domes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474 (2209):20170740. doi:10.1098/rspa.2017.0740.
  • Bertolesi, E., J. M. Adam, P. Rinaudo, and P. A. Calderón. 2019. Research and practice on masonry cross vaults– A review. Engineering Structures 180:67–88. doi:10.1016/j.engstruct.2018.10.085.
  • Block, P., and L. Lachauer. 2014a. Three-dimensional (3D) equilibrium analysis of gothic masonry vaults. International Journal of Architectural Heritage 8 (3):312–35. doi:10.1080/15583058.2013.826301.
  • Block, P., and L. Lachauer. 2014b. Three-dimensional funicular analysis of masonry vaults. Mechanics Research Communications 56:53–60. doi:10.1016/j.mechrescom.2013.11.010.
  • Block, P., and J. Ochsendorf. 2007. Thrust network analysis: A new methodology for three-dimensional equilibrium. Journal of the International Association for Shell and Spatial Structures 48 (155):167–73.
  • Borovszky, S., and J. Karácsonyi. 1903. Regestrum varadinense examinum ferri candentis ordine chronologico digestum, descripta effigie editionis a. 1550 illustratum, sumptibusque Capituli varadinensis lat. rit. Curis et laboribus Joannis Karácsonyi et Samuelis Borovszky editum. Budapest: Typis V. Hornyánsky. (in Latin).
  • Briccola, D., and M. Bruggi. 2019. Analysis of 3D linear elastic masonry-like structures through the API of a finite element software. Advances in Engineering Software 133:60–75. doi:10.1016/j.advengsoft.2019.04.009.
  • Bruggi, M. 2020. A constrained force density method for the funicular analysis and design of arches, domes and vaults. International Journal of Solids and Structures 193–194:251–269. doi:10.1016/j.ijsolstr.2020.02.030.
  • Cascini, L., R. Gagliardo, and F. Portioli. 2020. LiABlock_3D: A software tool for collapse mechanism analysis of historic masonry structures. International Journal of Architectural Heritage 14 (1):75–94. doi:10.1080/15583058.2018.1509155.
  • Cercadillo-García, C., and J. L. Fernández-Cabo. 2016. Analytical and numerical funicular analysis by means of the parametric force density method. Journal of Applied Research and Technology 14 (2):108–24. doi:10.1016/j.jart.2016.03.001.
  • Chen, S., and K. Bagi. 2020. Crosswise tensile resistance of masonry patterns due to contact friction. Proceedings of the Royal Society A 476 (2240):20200439. doi:10.1098/rspa.2020.0439.
  • Christensen, P. W., and A. Klarbring. 2008. An introduction to structural optimization. Netherlands: Springer.
  • Como, M. 2016. Statics of historic masonry constructions. International Publishing Switzerland: Springer.
  • Czaich, Á. G. 1903. Regesták VIII. Incze pápa korából 1484–1492, - Regestas from the time of Pope VIII. Incze 1484–1492. Budapest (in Hungarian)
  • D’Altri, A. M., V. Sarhosis, G. Milani, J. Rots, S. Cattari, S. Lagomarsino, E. Sacco, A. Tralli, G. Castellazzi, and S. de Miranda. 2019. Modeling strategies for the computational analysis of unreinforced masonry structures: Review and classification. Archives of Computational Methods in Engineering 27 (4):1153–85. doi:10.1007/s11831-019-09351-x.
  • D’Ayala, D. F., and E. Tomasoni. 2011. Three-dimensional analysis of masonry vaults using limit state analysis with finite friction. International Journal of Architectural Heritage 5 (2):140–71. doi:10.1080/15583050903367595.
  • Di Pasquale, S. 1996. L’Arte del Costruire, tra conoscenza e scienza. Marsilio,Venezia, Italy. (in Italian).
  • Fraddosio, A., N. Lepore, and M. D. Piccioni. 2020. Thrust surface method: An innovative approach for the three-dimensional lower bound limit analysis of masonry vaults. Engineering Structures 202. doi:10.1016/j.engstruct.2019.109846.
  • Fraternali, F. 2010. A thrust network approach to the equilibrium problem of unreinforced masonry vaults via polyhedral stress functions. Mechanics Research Communications 37 (2):198–204. doi:10.1016/j.mechrescom.2009.12.010.
  • Gobbin, F., G. de Felice, and J. V. Lemos. 2020. A discrete element model for masonry vaults strengthened with externally bonded reinforcement. International Journal of Architectural Heritage 1–14. doi:10.1080/15583058.2020.1743792.
  • Grillanda, N., A. Chiozzi, F. Bondi, A. Tralli, F. Manconi, F. Stochino, and A. Cazzani. 2019. Numerical insights on the structural assessment of historical masonry stellar vaults: The case of Santa Maria del Monte in Cagliari. Continuum Mechanics and Thermodynamics. doi:10.1007/s00161-019-00752-8.
  • Mag Hella. (2014). Tereske temploma a késő középkorban. Church of Tereske in the late Middle Ages- Archeologia - Altum Castrum Online Magazin. Accessed December 6, 2020. www.archeologia.hu.
  • Heyman, J. 1966. The stone skeleton. International Journal of Solids and Structures 2 (2):249–79. doi:10.1016/0020-7683(66)90018-7.
  • Kulig, A., and K. Romaniak. 2007. Geometrical models of stellar vaults. The Journal of Polish Society for Geometry and Engineering Graphics 17:51–56.
  • Lemos, J. V. 2007. Discrete element modeling of masonry structures. International Journal of Architectural Heritage 1 (2):190–213. doi:10.1080/15583050601176868.
  • Lengyel, G., and K. Bagi. 2015. Numerical analysis of the mechanical role of the ribs in groin vaults. Computers & Structures 158:42–60. doi:10.1016/j.compstruc.2015.05.032.
  • Marmo, F., D. Masi, and L. Rosati. 2018. Thrust network analysis of masonry helical staircases. International Journal of Architectural Heritage 12 (5):828–48. doi:10.1080/15583058.2017.1419313.
  • Marmo, F., and L. Rosati. 2017. Reformulation and extension of the thrust network analysis. Computers & Structures 182:104–18. doi:10.1016/j.compstruc.2016.11.016.
  • Marmo, F., N. Ruggieri, F. Toraldo, and L. Rosati. 2019. Historical study and static assessment of an innovative vaulting technique of the 19th century. International Journal of Architectural Heritage 13 (6):799–819. doi:10.1080/15583058.2018.1476607.
  • Milani, E., G. Milani, and A. Tralli. 2008. Limit analysis of masonry vaults by means of curved shell finite elements and homogenization. International Journal of Solids and Structures 45 (20):5258–88. doi:10.1016/j.ijsolstr.2008.05.019.
  • Mousavian, E., and C. Casapulla. 2020. The role of different sliding resistances in limit analysis of hemispherical masonry domes. Frattura ed Integrità Strutturale 14 (51):336–55. doi:10.3221/IGF-ESIS.51.25.
  • O’Dwyer, D. 1999. Funicular analysis of masonry vaults. Computers & Structures 73 (1–5):187–97. doi:10.1016/S0045-7949(98)00279-X.
  • Pálos, F. 2010. A tereskei templom, -Church of Tereske. Osváth Gedeon Museum Foundation, second edition. Aszód, Hungary. (in Hungarian).
  • Pellegrino, S., and C. R. Calladine. 1986. Matrix analysis of statically and kinematically indeterminate frameworks. International Journal of Solids and Structures 22 (4):409–28. doi:10.1016/0020-7683(86)90014-4.
  • Portioli, F. P. A. 2020. Rigid block modelling of historic masonry structures using mathematical programming: A unified formulation for non-linear time history, static pushover and limit equilibrium analysis. Bulletin of Earthquake Engineering 18 (1):211–39. doi:10.1007/s10518-019-00722-0.
  • Roca, P., M. Cervera, G. Gariup, and L. Pela’. 2010. Structural analysis of masonry historical constructions. classical and advanced approaches. Archives of Computational Methods in Engineering 17 (3):299–325. doi:10.1007/s11831-010-9046-1.
  • Roca, P., P. Lourenço, and A. Gaetani. 2019. Historic construction and conservation: Materials, systems and damage. London, UK: Taylor & Francis.
  • Schek, H. 1974. The force density method for form finding and computation of general networks. Computer Methods in Applied Mechanics and Engineering 3 (1):115–34. doi:10.1016/0045-7825(74)90045-0.
  • Svanberg, K. 1987. The method of moving asymptotes—a new method for structural optimization. International Journal for Numerical Methods in Engineering 24 (2):359–73. doi:10.1002/nme.1620240207.
  • Tralli, A., C. Alessandri, and G. Milani. 2014. Computational methods for masonry vaults: A review of recent results. The Open Civil Engineering Journal 8 (1):272–87. doi:10.2174/1874149501408010272.
  • Vattai, A., and N. Rozgonyi-Boissinot. 2018. The effect of grain size, surface roughness, and joint compressive strength on shear strength along discontinuities of Hungarian sandstones. Central European Geology 61 (1):34–49. doi:10.1556/24.61.2018.03.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.