Analytical Models to Determine In-Plane Damage Initiation and Force Capacity of Masonry Walls with Openings
Publication: Journal of Engineering Mechanics
Volume 147, Issue 11
Abstract
Masonry panels consisting of piers and spandrels in buildings are vulnerable to in-plane actions caused by seismicity and soil subsidence. Tectonic seismicity is a safety hazard for masonry structures, whereas low-magnitude induced seismicity can be detrimental to their durability due to the accumulation of light damage. This is particularly true in the case of unreinforced masonry. Therefore, the development of models for the accurate prediction of both damage initiation and force capacity for masonry elements and structures is necessary. In this study, a method was developed based on analytical modeling for the prediction of the damage initiation mode and capacity of stand-alone masonry piers; the model was then expanded through a modular approach to masonry walls with asymmetric openings. The models account for all potential damage and failure modes for in-plane loaded walls. The stand-alone piers model is applicable to all types of masonry construction. The model for walls with openings can be applied as is to simple buildings but can also be extended to more complex structures with simple modifications. Model results were compared with numerous experimental cases and exhibited very good accuracy.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
References
Beer, F. P., et al. 2012. Mechanics of materials. New York: McGraw-Hill Professional.
Beyer, K. 2012. “Peak and residual strengths of brick masonry spandrels.” Eng. Struct. 41 (Aug): 533–547. https://doi.org/10.1016/j.engstruct.2012.03.015.
Caliò, I., M. Marletta, and B. Pantò. 2012. “A new discrete element model for the evaluation of the seismic behaviour of unreinforced masonry buildings.” Eng. Struct. 40 (Jul): 327–338. https://doi.org/10.1016/j.engstruct.2012.02.039.
CEN (European Committee for Standardization). 2005. Eurocode 6—Design of masonry structures—Part 1-1: General rules for reinforced and unreinforced masonry structures. EN 1996-1-1. Brussels, Belgium: CEN.
Drougkas, A., L. Licciardello, J. G. Rots, and R. Esposito. 2020. “In-plane seismic behaviour of retrofitted masonry walls subjected to subsidence-induced damage.” Eng. Struct. 223 (Jul): 111192. https://doi.org/10.1016/j.engstruct.2020.111192.
Drougkas, A., P. Roca, and C. Molins. 2015. “Numerical prediction of the behavior, strength and elasticity of masonry in compression.” Eng. Struct. 90 (May): 15–28. https://doi.org/10.1016/j.engstruct.2015.02.011.
Drougkas, A., P. Roca, and C. Molins. 2019. “Experimental analysis and detailed micro-modeling of masonry walls subjected to in-plane shear.” Eng. Fail. Anal. 95 (Jan): 82–95. https://doi.org/10.1016/j.engfailanal.2018.08.030.
Esposito, R., and G. J. P. Ravenshorst. 2017. Quasi-static cyclic in-plane tests on masonry components 2016/2017. Delft, Netherlands: Delft Univ. of Technology.
Foraboschi, P. 2009. “Coupling effect between masonry spandrels and piers.” Mater. Struct. 42 (3): 279–300. https://doi.org/10.1617/s11527-008-9405-7.
Heyman, J. 1966. “The stone skeleton.” Int. J. Solids Struct. 2 (2): 249–279. https://doi.org/10.1016/0020-7683(66)90018-7.
Jafari, S., and R. Esposito. 2016. Material tests for the characterisation of replicated solid calcium silicate brick masonry. Delft, Netherlands: Delft Univ. of Technology.
Jafari, S., and R. Esposito. 2017. Material tests for the characterisation of replicated solid clay brick masonry. Delft, Netherlands: Delft Univ. of Technology.
Korswagen, P. A., M. Longo, E. Meulman, and J. G. Rots. 2019. “Crack initiation and propagation in unreinforced masonry specimens subjected to repeated in-plane loading during light damage.” Bull. Earthquake Eng. 17 (8): 4651–4687. https://doi.org/10.1007/s10518-018-00553-5.
Korswagen, P. A., M. Longo, E. Meulman, and C. Van Hoogdalem. 2017. Damage sensitivity of Groningen masonry structures—Experimental and computational studies. Delft, Netherlands: Delft Univ. of Technology.
Lobato Paz, E. M. 2009. “Método simple para el análisis de muros de obra de fábrica con aberturas bajo solicitaciones en su plano.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Universitat Politècnica de Catalunya.
Magenes, G., and G. M. Calvi. 1997. “In-plane seismic response of brick masonry walls.” Earthquake Eng. Struct. Dyn. 26 (11): 1091–1112. https://doi.org/10.1002/(SICI)1096-9845(199711)26:11%3C1091::AID-EQE693%3E3.0.CO;2-6.
Mann, W., and H. Muller. 1982. “Failure of shear-stressed masonry—An enlarged theory, tests and application to shear walls.” Proc. Br. Ceram. Soc. 30: 223–235.
Messali, F., R. Esposito, G. J. P. Ravenshorst, and J. G. Rots. 2020. “Experimental investigation of the in-plane cyclic behaviour of calcium silicate brick masonry walls.” Bull. Earthquake Eng. 18 (8): 3963–3994. https://doi.org/10.1007/s10518-020-00835-x.
Ministerio delle Infrastrutture e dei Trasporti. 2009. Circolare 2 febbraio 2009, n. 617 Istruzioni per l’applicazione delle ‘Nuove norme tecniche per le costruzioni’ di cui al decreto ministeriale 14 gennaio 2008. Piazzale di Porta Pia, Rome: Ministry of Infrastructure and Transport.
Morandi, P., L. Albanesi, F. Graziotti, T. L. Piani, A. Penna, and G. Magenes. 2018. “Development of a dataset on the in-plane experimental response of URM piers with bricks and blocks.” Constr. Build. Mater. 190 (Nov): 593–611. https://doi.org/10.1016/j.conbuildmat.2018.09.070.
Parisi, F., N. Augenti, and A. Prota. 2014. “Implications of the spandrel type on the lateral behavior of unreinforced masonry walls.” Earthquake Eng. Struct. Dyn. 43 (12): 1867–1887. https://doi.org/10.1002/eqe.2441.
Raijmaker, T. M., and A. T. Vermeltfoort. 1992. Deformation controlled meso shear tests on masonry piers. Eindhoven, Netherlands: TNO-BOUW/TU Eindhoven.
Roca, P. 2006. “Assessment of masonry shear-walls by simple equilibrium models.” Constr. Build. Mater. 20 (4): 229–238. https://doi.org/10.1016/j.conbuildmat.2005.08.023.
Roca, P., Á. Viviescas, M. Lobato, C. Díaz, and I. Serra. 2011. “Capacity of shear walls by simple equilibrium models.” Int. J. Archit. Heritage 5 (4–5): 412–435. https://doi.org/10.1080/15583058.2010.501481.
Sarhosis, V., D. Dais, E. Smyrou, and İ. E. Bal. 2019. “Evaluation of modelling strategies for estimating cumulative damage on Groningen masonry buildings due to recursive induced earthquakes.” Bull. Earthquake Eng. 17 (8): 4689–4710. https://doi.org/10.1007/s10518-018-00549-1.
Terwel, K., and R. Schipper. 2018. “Innovative ways of dealing with existing problems: How to reliably assess the cause of damage of masonry structures in an area with man-induced earthquakes?” In Proc., IABSE Symp., Nantes 2018: Tomorrow’s Megastructures, 39–46. Zürich, Switzerland: International Association for Bridge and Structural Engineering.
Timoshenko, S. 1940. Strength of materials. New York: D. Van Nostrand Company.
Tomaževič, M. 2006. Vol. 1 of Earthquake-resistant design of masonry buildings, innovation in structures and construction. London: Imperial College Press.
Turnšek, V., and F. Cacovic. 1971. “Some experimental results on the strength of brick masonry walls.” In Proc., 2nd Intern. Brick Masonry Conf., 149–156. Stoke-on-Trent, UK: British Ceramic Research Association.
Turnšek, V., and P. Sheppard. 1980 “The shear and flexural resistance of masonry walls.” In Proc., Int. Research Conf. on Earthquake Engineering. Dublin, OH: National Science Foundation & Council of Yugoslav Association of Self-Managed Communities of Interest for Scientific Research.
Van der Pluijm, R. 1992. “Material properties of masonry and its components under tension and shear.” In Proc., 6th Canadian Masonry Symp., Saskatoon, 675–686. Saskatoon, SK, Canada: Univ. of Saskatchewan.
Vanin, A., and P. Foraboschi. 2012. “In-plane behavior of perforated brick masonry walls.” Mater. Struct. 45 (7): 1019–1034. https://doi.org/10.1617/s11527-011-9814-x.
Van Staalduinen, P., K. Terwel, and J. G. Rots. 2018. Onderzoek naar de oorzaken van bouwkundige schade in Groningen Methodologie en case studies ter duiding van de oorzaken. Delft, Netherlands: Faculty of Civil Engineering and Geosciences, Delft Univ. of Technology.
Information & Authors
Information
Published In
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Oct 30, 2020
Accepted: Jun 2, 2021
Published online: Aug 23, 2021
Published in print: Nov 1, 2021
Discussion open until: Jan 23, 2022
Authors
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
- Vasilis Sarhosis, Jose V. Lemos, Katalin Bagi, Gabriele Milani, Recent Advances on the Mechanics of Masonry Structures, Journal of Engineering Mechanics, 10.1061/(ASCE)EM.1943-7889.0002112, 148, 6, (2022).