Effects of Brick Pattern on the Static Behavior of Masonry Vaults

References

• Alberti, L. B. 1450. De re aedificatoria. Firenze: Editio princeps, 1485 opera magistri Nicolai Laurentii Alamani.
   Google Scholar
• Alforno, M., C. Calderini, A. Monaco, and F. Venuti. 2019. Numerical modelling of masonry vaults with different brick pattern. In: Proceedings of the IASS 60th anniversary symposium (IASS Symposium 2019) - 9th International conference on Texile Composites and Inflatable Structures (IASS Annual Symposium 2019 - Structural Membranes 2019), Form and Force, Barcelona, Spain: 1626-1633.
   Google Scholar
• Beatini, V., G. Royer Carfagni, and A. Tasora. 2017. A regularized non-smooth contact dynamics approach for architectural masonry structures. Computer & Structures 187:88–100.
   Web of Science ®Google Scholar
• 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):1–21. doi:https://doi.org/10.1098/rspa.2017.0740.
   Google Scholar
• Beatini, V., G. Royer-Carfagni, and A. Tasora. 2019. Modeling the shear failure of segmental arches. International Journal of Solids and Structures 158:21–39. doi:https://doi.org/10.1016/j.ijsolstr.2018.08.023.
   Google Scholar
• Benvenuto, E. 1981. La scienza delle costruzioni e il suo sviluppo storico. Firenze: Sansoni.
   Google Scholar
• Benvenuto, E. 2012. An introduction to the history of structural mechanics. New York: Springer Science & Business Media.
   Google Scholar
• Boni, C. 2018. Analysis of masonry vaults with discrete element method: Brick pattern effect. Italy: MSc Thesis, University of Parma. Supervisors: Prof. Ferretti, D. & Dr. Lenticchia, E.
   Google Scholar
• Boni, C., D. Ferretti, E. Lenticchia, and A. Tasora. 2019. DEM modelling of masonry vaults: Influence of brick pattern and infill on stability during supports displacements. In: Proceedings of the IASS 60th anniversary symposium (IASS Symposium 2019) - 9th International conference on Texile Composites and Inflatable Structures (IASS Annual Symposium 2019 - Structural Membranes 2019), Form and Force, Barcelona, Spain: 1555-1562.
   Google Scholar
• Boothby, T. E. 2001. Analysis of masonry arches and vaults. Progress in Structural Engineering and Materials 3 (3):246–56. doi:https://doi.org/10.1002/pse.84.
   Google Scholar
• Breymann, G. A. 1849. Allgemeine Bau-Constructions-Lehre, mit besonderer Beziehung auf das Hochbauwesen ein Leitfaden zu Vorlesungen und zum Selbstunterrichte. Stuttgart: Hoffmann.
   Google Scholar
• Chen, S., and K. Bagi. 2020. Crosswise tensile resistance of masonry patterns due to contact friction. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. doi:https://doi.org/10.1098/rspa.2020.0439.
   Google Scholar
• Chetouane, B., F. Dubois, M. Vinches, and C. Bohatier. 2005. NSCD discrete element method for modelling masonry structures. International Journal for Numerical Methods in Engineering 64:65–94. doi:https://doi.org/10.1002/nme.1358.
   Web of Science ®Google Scholar
• Chevalley, G. 1924. Elementi di tecnica dell’architettura: Materiali da costruzione e grosse strutture. Torino: Pasta.
   Google Scholar
• Choisy, A. 1873. L’art de bâtir chez les Romains. Paris: Ducher et Cie.
   Google Scholar
• Choisy, A. 1883. L’Art de bâtir chez les Byzantins. Paris: Librairie de la Société Anonyme de Publications Periodiques.
   Google Scholar
• Coïsson, E., L. Ferrari, D. Ferretti, and M. Rozzi. 2016. Non-smooth dynamic analysis of local seismic damage mechanisms of the San Felice Fortress in Northern Italy. Procedia Engineering 161:451–57.
   Google Scholar
• Como, M. 2013. Statics of historic masonry constructions. Berlin, Heidelberg: Springer.
   Google Scholar
• D’Altri, A. M., S. De Miranda, G. Castellazzi, V. Sarhosis, J. Hudson, D. Theodossopoulos. 2020. Historic barrel vaults undergoing differential settlements. International Journal of Architectural Heritage 14 (8):1196–209. doi:https://doi.org/10.1080/15583058.2019.1596332.
   Web of Science ®Google Scholar
• 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 5:140–71. doi:https://doi.org/10.1080/15583050903367595.
   Web of Science ®Google Scholar
• Di Pasquale, S. 2001. L’arte del costruire tra conoscenza e scienza. Venezia: Marsilio Editore.
   Google Scholar
• Docci, M. 2011. Le volte autoportanti apparecchiate a spina pesce. In Le cupole Murarie: Storia, Analisi, Intervento, 383–91. Roma: Edizioni PRE progetti.
   Google Scholar
• Donghi, D. 1906. Manuale dell’Architetto. Compilato sulla traccia del Bakunde des Architekten. Torino: Utet.
   Google Scholar
• Ferretti, D., E. Coïsson, and M. Rozzi. 2017. A new numerical approach to the structural analysis of masonry vaults. Key Engineering Materials 747:52–59. doi:https://doi.org/10.4028/w ww.scientific.net/KEM.747.52.
   Google Scholar
• Foraboschi, P. 2016. The central role played by structural design in enabling the construction of buildings that advanced and revolutionized architecture. Construction and Building Materials 114:956–76.
   Web of Science ®Google Scholar
• Forgács, T., V. Sarhosis, and K. Bagi. 2018. Influence of construction method on the load bearing capacity of skew masonry arches. Engineering Structures 168:612–27.
   Web of Science ®Google Scholar
• Formenti, C. 1893. La pratica del fabbricare per l’ingegnere. Milano: Ulrico Hoepli.
   Google Scholar
• Foti, D., V. Vacca, and I. Facchini. 2018. DEM modeling and experimental analysis of the static behavior of a dry-joints masonry cross vaults. Construction and Building Materials 170:111–20. doi:https://doi.org/10.1016/j.conbuildmat.2018.02.202.
   Web of Science ®Google Scholar
• Gaetani, A., G. Monti, P. B. Lourenço, and G. Marcari. 2016. Design and analysis of cross vaults along history. International Journal of Architectural Heritage 10:841–56. doi:https://doi.org/10.1080/15583058.2015.1132020.
   Web of Science ®Google Scholar
• Gelati, C. 1907. Nozioni pratiche ed artistiche di architettura. 2nd ed. (1st edition, 1899). Torino: Carlo Pasta.
   Google Scholar
• Gilbert, E. G., D. W. Johnson, and S. S. Keerthi. 1988. A fast procedure for computing the distance between complex objects in three-dimensional space. IEEE Journal on Robotics and Automation 4:193–203. doi:https://doi.org/10.1109/56.2083.
   Google Scholar
• Giorgi, L., and P. Matracchi. 2008. New studies on Brunelleschi’s dome in Florence, 191–98. Bath, UK: Taylor & Francis Group.
   Google Scholar
• Guerra, C. 1945. Architettura tecnica - le strutture degli edifici (parte prima). 3rd ed. Napoli: Casa Editrice Raffaele Pironti.
   Google Scholar
• Heyman, J. 1995. The stone skeleton: Structural engineering of masonry architecture. Cambridge: Cambridge University Press.
   Google Scholar
• Heyn, T., M. Anitescu, A. Tasora, and D. Negrut. 2013. Using Krylov subspace and spectral methods for solving complementarity problems in many‐body contact dynamics simulation. International Journal for Numerical Methods in Engineering 95 (7):541–61. doi:https://doi.org/10.1002/nme.4513.
   Google Scholar
• Huerta Fernández, S. 2001. Mechanics of masonry vaults: The equilibrium approach. In Historical constructions. Possibilities of numerical and experimental techniques, ed. P. B. Lourenco, and P. Roca, 47–69. Guimaraes: Universidade do Minho.
   Google Scholar
• Huerta Fernández, S. 2008. The analysis of masonry architecture: A historical approach. Architectural Science Review 51:297–328. doi:https://doi.org/10.3763/asre.2008.5136.
   Google Scholar
• Jean, M. 1999. The non-smooth contact dynamics method. Computer Methods in Applied Mechanics and Engineering 177:235–57. doi:https://doi.org/10.1016/S0045-7825(98)00383-1.
   Web of Science ®Google Scholar
• Lancioni, G., S. Lenci, Q. Piattoni, and E. Quagliarini. 2013. Dynamics and failure mechanisms of ancient masonry churches subjected to seismic actions by using the NSCD method: The case of the medieval church of S. Maria in Portuno. Engineering Structures 56:1527–46. doi:https://doi.org/10.1016/j.engstruct.2013.07.027.
   Web of Science ®Google Scholar
• Lemos, J. V. 2007. Discrete element modeling of masonry structures. International Journal of Architectural Heritage 1:190–213. doi:https://doi.org/10.1080/15583050601176868.
   Web of Science ®Google Scholar
• Lengyel, G. 2017. Discrete element analysis of gothic masonry vaults for self-weight and horizontal support displacement. Engineering Structures 148:195–209. doi:https://doi.org/10.1016/j.engstruct.2017.06.014.
   Web of Science ®Google Scholar
• Levi, C. 1932. Trattato teorico pratico di costruzioni civili, rurali, stradali ed idrauliche. Milano: Hoepli.
   Google Scholar
• Lourénço, B. P., R. De Borst, and J. G. Rots. 1997. A plane stress softening plasticity model for orthotropic materials. International Journal for Numerical Methods in Engineering 40 (21):4033–57. doi:https://doi.org/10.1002/(SICI)1097-0207(19971115)40:21<4033::AID-NME248>3.0.CO;2-0.
   Web of Science ®Google Scholar
• Mainstone, R. J. 1969. Brunelleschi’s Dome of S. Maria del Fiore and some related structures. Transactions of the Newcomen Society 42 (1):107–26. doi:https://doi.org/10.1179/tns.1969.006.
   Google Scholar
• Mangoni, D., A. Tasora, and R. Garziera. 2018. A primal-dual predictor-corrector interior point method for non-smooth contact dynamics. Computer Methods in Applied Mechanics and Engineering 330:351–67. doi:https://doi.org/10.1016/j.cma.2017.10.030.
   Web of Science ®Google Scholar
• Marmo, F., and L. Rosati. 2017. Reformulation and extension of the thrust network analysis. Computers & Structures 182 (1):65–94. doi:https://doi.org/10.1016/j.compstruc.2016.11.016.
   Google Scholar
• McInerney, J., and M. J. DeJong. 2014. Discrete element modeling of groin vault displacement capacity. International Journal of Architectural Heritage 9:1037–49. doi:https://doi.org/10.1080/15583058.2014.923953.
   Google Scholar
• Milani, E., G. Milani, and A. M. Tralli. 2008. Limit analysis of masonry vaults by means of curved shell finite elements and homogeneization. International Journal of Solids and Structures 45:5258–88. doi:https://doi.org/10.1016/j.ijsolstr.2008.05.019.
   Web of Science ®Google Scholar
• Milani, G., and A. Cecchi. 2013. Compatible model for herringbone bond masonry: Linear elastic homogenization, failure surfaces and structural implementation. International Journal of Solids and Structures 50:3274–96. doi:https://doi.org/10.1016/j.ijsolstr.2013.05.032.
   Web of Science ®Google Scholar
• Milani, G., P. B. Lourenço, and A. M. Tralli. 2006. Homogenised limit analysis of masonry walls, Part I: Failure surfaces. Computers & Structures 95 (7):541–61. doi:https://doi.org/10.1016/j.compstruc.2005.09.005.
   Google Scholar
• Ministero delle Infrastrutture e dei Trasporti. 2018. Italian code for structural design, Norme Tecniche per le Costruzioni, D.M. 17/1/2018, (GU Serie Generale n.42 del 20-02-2018- Suppl. Ordinario n. 8) (In Italian).
   Google Scholar
• Moreau, J. J. 1988. Unilateral contact and dry friction in finite dimension freedom dynamics. Vol. 302, 1–82. CISM Courses and Lectures, Berlin: Springer.
   Google Scholar
• Negrut, D., A. Tasora, H. Mazhar, T. Heyn, P. Hahn. 2012. Leveraging parallel computing in multibody dynamics. Multibody System Dynamics 27 (1):95–117. doi:https://doi.org/10.1007/s11044-011-9262-y.
   Google Scholar
• Pizzigoni, A., V. Paris, M. Pasta, M. Morandi, A. Parsani. 2018. Herringbone naked structure. In: Proceedings of the IASS Symposium 2018, Creativity in Structural Design, MIT, Boston, USA: 1-6.
   Google Scholar
• ProjectChrono. 2018. ProjectChrono. An open source multi-physics simulation engine. [Online]. https://projectchrono.org.
   Google Scholar
• Rafiee, A., and M. Vinches. 2013. Mechanical behaviour of a stone masonry bridge assessed using an implicit discrete element method. Engineering Structures 48:739–49. doi:https://doi.org/10.1016/j.engstruct.2012.11.035.
   Web of Science ®Google Scholar
• Rafiee, A., and M. Vinches. 2016. Implicit discrete element analysis of a masonry cupola under seismic loads. International Journal of Civil Engineering 14:357–67. doi:https://doi.org/10.1007/s40999-016-0035-0.
   Web of Science ®Google Scholar
• Rondelet, J. B. 1802. Traité théorique et pratique de l’art de bâtir. Paris: F. Didot.
   Google Scholar
• Scamozzi, V. 1615. L’idea della architettura universale. Venezia, Italy: expensis auctoris.
   Google Scholar
• Sicurella, C. 2017. The role of masonry pattern in vaults from parametric algoritmic design to statican alysis by discrete element method. Italy: MSc Thesis, University of Parma. Supervisors: Prof. Ferretti, D. & Dr. Lenticchia, E.
   Google Scholar
• Taddei, A., and D. Taddei. 2012. The “spina-pesce” and the “corda- blanda”: Florentine tradition in the (self-supporting) domes rotating. Firenze: Nardini Editore.
   Google Scholar
• Tasora, A. 2017. Time integration in Chrono: Engine. [Online] http://www.projectchrono.org/assets/white_papers/ChronoCore/integrator.pdf.
   Google Scholar
• Tralli, A., C. Alessandri, and G. Milani. 2014. Computational methods for masonry vaults: A review of recent results. The Open Civil Engineering Journal 8:272–87. doi:https://doi.org/10.2174/1874149501408010272.
   Google Scholar
• Wendland, D. 2007. Traditional vault construction without formwork: Masonry pattern and vault shape in the historical technical literature and in experimental studies. International Journal of Architectural Heritage 1 (4):311–65. doi:https://doi.org/10.1080/15583050701373803.
   Web of Science ®Google Scholar