Abstract

Perforated unreinforced masonry (URM) walls are used in most existing masonry buildings as structural and nonstructural elements. Depending on the size and position, openings may detrimentally affect the stiffness and seismic capacity of URM walls. This research investigates the structural behavior of perforated URM walls with different opening sizes and proportions subjected to lateral loading using the discrete element method (DEM). In the applied modeling strategy, masonry walls are composed of rigid blocks, where their mechanical interactions are simulated via point-contact hypotheses. Once the numerical approach is validated, parametric analyses are performed to better understand the effect of different opening sizes and their aspect ratios on the failure mechanism and shear capacity of perforated URM walls. The results quantify the lateral load–carrying capacity and demonstrate its inverse relationship with the opening size. Furthermore, a slight influence of contact stiffness (varied from 10 to 120  GPa/m) on the ultimate lateral load in DEM-based simulations is noted. Finally, the obtained shear force capacities are compared against the strength prediction equations provided in current US standards. In most cases, the predictions of the US standard provide conservative values relative to the DEM results.

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Data Availability Statement

All models and 3DEC codes that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This research is supported by the Itasca Education Partnership (IEP)—Teaching Program.

References

Akkar, S., et al. 2011. “8 March 2010 Elaziǧ-Kovancilar (Turkey) earthquake: Observations on ground motions and building damage.” Seismol. Res. Lett. 82 (1): 42–58. https://doi.org/10.1785/gssrl.82.1.42.
Allen, C., M. Masia, A. Page, M. Griffith, and J. Ingham. 2017. “Nonlinear finite element modeling of unreinforced masonry walls with openings subjected to in-plane shear.” In Proc., 13th Canadian Masonry Symp. Halifax, CA: Canada Masonry Design Centre.
Allen, C., M. J. Masia, A. W. Page, M. C. Griffith, and H. Derakhshan. 2015. “Cyclic in-plane shear testing of unreinforced masonry walls with openings.” In Proc., 10th Pacific Conf. on Earthquake Engineering Building an Earthquake-Resilient Pacific, 68–78. Mount Macedon, VIC, Australia: Australian Earthquake Engineering Society.
Allen, C., M. J. Masia, A. W. Page, M. C. Griffith, H. Derakhshan, and N. Mojsilovic. 2016. “Experimental testing of unreinforced masonry walls with openings subject to cyclic in-plane shear.” In Proc., 16th Int. Brick and Block Masonry Conference, IBMAC 2016 Brick and Block Masonry: Trends, Innovations and Challenges, 26–30. London: Taylor & Francis.
ASCE. 2017. Seismic evaluation and retrofit of existing buildings. Reston, VA: ASCE.
Casapulla, C., L. U. Argiento, A. Maione, and E. Speranza. 2021. Upgraded formulations for the onset of local mechanisms in multi-storey masonry buildings using limit analysis, 380–394. New York: Elsevier.
Casapulla, C., F. Portioli, A. Maione, and R. Landolfo. 2013. “A macro-block model for in-plane loaded masonry walls with non-associative Coulomb friction.” Meccanica 48 (9): 2107–2126. https://doi.org/10.1007/s11012-013-9728-5.
Costamagna, E., M. Santana Quintero, N. Bianchini, N. Mendes, P. B. Lourenço, S. Su, Y. M. Paik, and A. Min. 2020. “Advanced non-destructive techniques for the diagnosis of historic buildings: The Loka-Hteik-Pan temple in Bagan.” J. Cult. Heritage 43 (9): 108–117. https://doi.org/10.1016/j.culher.2019.09.006.
CSA (Canadian Standards Association). 2014. Design of masonry structures. CSA S304. Mississauga, ON, Canada: CSA.
Cundall, P. A. 1971. The measurement and analysis of accelerations in rock slopes. London: Univ. of London.
Cundall, P. A. 1988. “Formulation of a three-dimensional distinct element model—Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks.” Int. J. Rock Mech. Min. Sci. Geomech. 25 (3): 107–116. https://doi.org/10.1016/0148-9062(88)92293-0.
Cundall, P. A., and C. Detournay. 2017. “Dynamic relaxation applied to continuum and discontinuum numerical models in geomechanics.” In Rock mechanics and engineering, 57–102. London: CRC Press.
D’Ayala, D., and E. Speranza. 2003. “Definition of collapse mechanisms and seismic vulnerability of historic masonry buildings.” Earthquake Spectra 19 (3): 479–509. https://doi.org/10.1193/1.1599896.
Demirlioglu, K., S. Gonen, S. Soyoz, and M. P. Limongelli. 2020. “In-plane seismic response analyses of a historical brick masonry building using equivalent frame and 3D FEM modeling approaches.” Int. J. Archit. Heritage 14 (2): 238–256. https://doi.org/10.1080/15583058.2018.1529208.
Dizhur, D., N. Ismail, C. Knox, R. Lumantarna, and J. M. Ingham. 2010. “Performance of unreinforced and retrofitted masonry buildings during the 2010 darfield earthquake.” Bull. N. Z. Soc. Earthquake Eng. 43 (4): 321–339. https://doi.org/10.5459/bnzsee.43.4.321-339.
Dolce, M. 1989. Models for in-plane loading of masonry walls.’Corso sul consolidamento degli edifici in muratura in zona sísmica. Rome: Ordine degli Ingegneri.
FEMA. 1997. NEHRP guidelines for seismic rehabilitation of buildings. basic procedures manual. FEMA 273. Washington, DC: Applied Technology Council.
Foti, F., V. Vacca, and I. Facchini. 2018. “DEM modeling and experimental analysis of the static behavior of a dry-joints masonry cross vaults.” In Construction and building materials, 111–120. New York: Elsevier.
Funari, M. F., A. E. Hajjat, M. G. Masciotta, D. V. Oliveira, and P. B. Lourenço. 2021. “A parametric scan-to-FEM framework for the digital twin generation of historic masonry structures.” Sustainability 13 (19): 1–22. https://doi.org/10.3390/su131911088.
Funari, M. F., B. Pulatsu, S. Szabó, and P. B. Lourenço. 2022a. “A solution for the frictional resistance in macro-block limit analysis of non-periodic masonry.” Structures 43 (Jun): 847–859. https://doi.org/10.1016/j.istruc.2022.06.072.
Funari, M. F., L. C. Silva, N. Savalle, and P. B. Lourenço. 2022b. “A concurrent micro/macro FE-model optimized with a limit analysis tool for the assessment of dry-joint masonry structures.” Int. J. Multiphase Comput. Eng. 20 (5): 65–85. https://doi.org/10.1615/IntJMultCompEng.2021040212.
Gonen, S., B. Pulatsu, E. Erdogmus, E. Karaesmen, and E. Karaesmen. 2021. “Quasi-static nonlinear seismic assessment of a fourth century A.D. Roman Aqueduct in Istanbul, Turkey.” Heritage 4 (5): 401–421. https://doi.org/10.3390/heritage4010025.
Hamp, E., R. Gerber, B. Pulatsu, M. S. Quintero, and J. Erochko. 2022. “Nonlinear seismic assessment of a historic rubble masonry building via simplified and advanced computational approaches.” Buildings 12 (8): 1130. https://doi.org/10.3390/buildings12081130.
Hart, R., P. A. Cundall, and J. V. Lemos. 1988. “Formulation of a three-dimensional distinct element model—Part II. Mechanical calculations for motion.” Int. J. Rock Mech. Min. Sci. Geomech. 25 (3): 117–125. https://doi.org/10.1016/0148-9062(88)92294-2.
Howlader, M. K., M. J. Masia, and M. C. Griffith. 2019. “Cyclic in-plane testing of simulated Australian historical perforated URM walls.” In Proc., 13th North American Masonry Conf., 1615–1627. Salt Lake City, UT: The Masonry Society.
Hwang, S. H., S. Kim, and K. H. Yang. 2022. “In-plane lateral load transfer capacity of unreinforced masonry walls considering presence of openings.” J. Build. Eng. 47 (Aug): 103868. https://doi.org/10.1016/j.jobe.2021.103868.
Itasca Consulting Group Inc. 2013. 3DEC three dimensional distinct element code. Minneapolis: Itasca Consulting Group Inc.
Karanikoloudis, G., and P. B. Lourenço. 2018. “Structural assessment and seismic vulnerability of earthen historic structures. Application of sophisticated numerical and simple analytical models.” Eng. Struct. 160 (Dec): 488–509. https://doi.org/10.1016/j.engstruct.2017.12.023.
Kayırga, O. M., and F. Altun. 2021. “Investigation of earthquake behavior of unreinforced masonry buildings having different opening sizes: Experimental studies and numerical simulation.” J. Build. Eng. 40 (May): 102666. https://doi.org/10.1016/j.jobe.2021.102666.
Liu, Z., and A. Crewe. 2020. “Effects of size and position of openings on in–plane capacity of unreinforced masonry walls.” In Bulletin of earthquake engineering. Berlin: Springer.
Lourenço, P. B. 1996. Computational strategies for masonry structures. Delft, Netherlands: Delft Univ. of Technology.
Lourenço, P. B. 2000. “Anisotropic softening model for masonry plates and shells.” J. Struct. Eng. 126 (9): 1008–1016. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:9(1008).
Lourenço, P. B. 2009. “Recent advances in masonry structures: Micromodelling and homogenization.” In Multiscale modeling in solid mechanics: Computational approaches, 251–294. London: Imperial College Press.
Lourenço, P. B., J. G. Rots, and J. Blaauwendraad. 1998. “Continuum model for masonry: Parameter estimation and validation.” J. Struct. Eng. 124 (6): 642–652. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:6(642).
Malomo, D., M. J. DeJong, and A. Penna. 2019. “Distinct element modelling of the in-plane cyclic response of URM walls subjected to shear-compression.” Earthquake Eng. Struct. Dyn. 48 (12): 1322–1344. https://doi.org/10.1002/eqe.3178.
Nastri, E., and P. Todisco. 2022. “Macromechanical failure criteria: Elasticity, plasticity and numerical applications for the non-linear masonry modelling.” Buildings 12 (8): 12–45. https://doi.org/10.3390/buildings12081245.
NZSEE. 2015. Assessment and improvement of the structural performance of buildings in earthquake. Wellington, New Zealand: New Zealand Society for Earthquake Engineering.
Ortega, J., G. Vasconcelos, H. Rodrigues, M. Correia, and P. B. Lourenço. 2017. “Traditional earthquake resistant techniques for vernacular architecture and local seismic cultures: A literature review.” J. Cult. Heritage 27 (Oct): 181–196. https://doi.org/10.1016/j.culher.2017.02.015.
Parisi, F., and N. Augenti. 2013. “Seismic capacity of irregular unreinforced masonry walls with openings.” Earthquake Eng. Struct. Dyn. 42 (1): 101–121. https://doi.org/10.1002/eqe.2195.
Pelà, L., M. Cervera, S. Oller, and M. Chiumenti. 2014. “A localized mapped damage model for orthotropic materials.” Eng. Fract. Mech. 124–125 (Aug): 196–216. https://doi.org/10.1016/j.engfracmech.2014.04.027.
Pluijm, R. 1999. Out-of-plane bending of masonry behaviour and strength. Eindhoven, Netherlands: Technische Universiteit Eindhoven.
Pulatsu, B., E. M. Bretas, and P. B. Lourenço. 2016. “Discrete element modeling of masonry structures: Validation and application.” Earthquakes Struct. 11 (4): 563–582. https://doi.org/10.12989/eas.2016.11.4.563.
Pulatsu, B., E. Erdogmus, P. B. Lourenço, J. V. Lemos, and J. Hazzard. 2020a. “Discontinuum analysis of the fracture mechanism in masonry prisms and wallettes via discrete element method.” Meccanica 55 (3): 505–523. https://doi.org/10.1007/s11012-020-01133-1.
Pulatsu, B., E. Erdogmus, P. B. Lourenço, J. V. Lemos, and K. Tuncay. 2020b. “Simulation of the in-plane structural behavior of unreinforced masonry walls and buildings using DEM.” Structures 27 (Jun): 2274–2287. https://doi.org/10.1016/j.istruc.2020.08.026.
Pulatsu, B., E. Erdogmus, P. B. Lourenço, and R. Quey. 2019. “Simulation of uniaxial tensile behavior of quasi-brittle materials using softening contact models in DEM.” Int. J. Fract. 217 (1–2): 105–125. https://doi.org/10.1007/s10704-019-00373-x.
Pulatsu, B., S. Gonen, E. Erdogmus, P. B. Lourenço, J. V. Lemos, and J. Hazzard. 2020c. “Tensile fracture mechanism of masonry wallettes parallel to bed joints: A stochastic discontinuum analysis.” Modelling—Int. Open Access J. Modell. Eng. Sci. 1 (2): 78–93. https://doi.org/10.3390/modelling1020006.
Pulatsu, B., S. Gonen, E. Erdogmus, P. B. Lourenço, J. V. Lemos, and R. Prakash. 2021. “In-plane structural performance of dry-joint stone masonry walls: A spatial and non-spatial stochastic discontinuum analysis.” Eng. Struct. 242 (Apr): 112620. https://doi.org/10.1016/j.engstruct.2021.112620.
Pulatsu, B., S. Gonen, F. Parisi, E. Erdogmus, K. Tuncay, M. F. Funari, and P. B. Lourenço. 2022. “Probabilistic approach to assess URM walls with openings using discrete rigid block analysis (D-RBA).” J. Build. Eng. 61 (Feb): 105269. https://doi.org/10.1016/j.jobe.2022.105269.
Rossi, E., F. Grande, M. Faggella, N. Tarque, A. Scaletti, and R. Gigliotti. 2020. “Seismic assessment of the lima cathedral bell towers via kinematic and nonlinear static pushover analyses.” Int. J. Archit. Heritage 14 (6): 811–828. https://doi.org/10.1080/15583058.2019.1570387.
Saloustros, S., M. Cervera, and L. Pelà. 2018. “Tracking multi-directional intersecting cracks in numerical modelling of masonry shear walls under cyclic loading.” Meccanica 53 (7): 1757–1776. https://doi.org/10.1007/s11012-017-0712-3.
Saloustros, S., L. Pelà, P. Roca, and J. Portal. 2015. “Numerical analysis of structural damage in the church of the Poblet Monastery.” In Engineering failure analysis, 41–61. New York: Elsevier.
Sarhosis, V., and J. V. Lemos. 2018. “A detailed micro-modelling approach for the structural analysis of masonry assemblages.” In Computers and structures, 66–81. New York: Elsevier.
Singhal, V., and D. C. Rai. 2016. “In-plane and out-of-plane behavior of confined masonry walls for various toothing and openings details and prediction of their strength and stiffness.” Earthquake Eng. Struct. Dyn. 45 (15): 2551–2569. https://doi.org/10.1002/eqe.2783.
TMS (The Masonry Society). 2016. Building code requirements for masonry structures. TMS 402/602. Longmont, CO: TMS.
TMS (The Masonry Society). 2022. Building code requirements for masonry structures. TMS 402/602-22. Longmont, CO: TMS.
Vlachakis, G., E. Vlachaki, and P. B. Lourenço. 2020. “Learning from failure: Damage and failure of masonry structures, after the 2017 Lesvos earthquake (Greece).” Eng. Failure Anal. 117 (Jul): 104803. https://doi.org/10.1016/j.engfailanal.2020.104803.
Zhang, S., S. M. Taheri Mousavi, N. Richart, J. F. Molinari, and K. Beyer. 2017. “Micro-mechanical finite element modeling of diagonal compression test for historical stone masonry structure.” Int. J. Solids Struct. 112 (Jun): 122–132. https://doi.org/10.1016/j.ijsolstr.2017.02.014.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 7July 2023

History

Received: Aug 25, 2022
Accepted: Mar 6, 2023
Published online: Apr 27, 2023
Published in print: Jul 1, 2023
Discussion open until: Sep 27, 2023

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Aswathy Vattathara Surendran [email protected]
M.Eng. Student, Dept. of Civil and Environmental Engineering, Carleton Univ., 1125 Colonel Dr., Ottawa, ON, Canada K1S 5B6. Email: [email protected]
M.Eng. Student, Dept. of Civil and Environmental Engineering, Carleton Univ., 1125 Coloel Dr., Ottawa, ON, Canada K1S 5B6. ORCID: https://orcid.org/0000-0003-1862-296X. Email: [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Carleton Univ., 1125 Colonel Dr., Ottawa, ON, Canada K1S 5B6 (corresponding author). ORCID: https://orcid.org/0000-0002-7040-0734. Email: [email protected]
Postdoctoral Fellow, Dept. of Civil Engineering and Energy Technology, Oslo Metropolitan Univ., Oslo NO-0130, Norway. ORCID: https://orcid.org/0000-0002-9588-4552. Email: [email protected]
David Biggs, Dist.M.ASCE [email protected]
Principal, Biggs Consulting Engineering, 26F Congress St. #305, Saratoga Springs, NY 12866; Honorary Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Auckland, Auckland 1010, New Zealand. Email: [email protected]
Ece Erdogmus, M.ASCE [email protected]
Professor, School of Building Construction, Georgia Institute of Technology, North Ave., Atlanta, GA 30332. Email: [email protected]

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