Quantifying Hybrid Failure Modes of Unreinforced Masonry Walls through Experimental Data Analysis
Publication: Journal of Structural Engineering
Volume 150, Issue 11
Abstract
Failure mode identification in unreinforced masonry (URM) walls is a challenging task because of the presence of multiple damage mechanisms, including so-called hybrid modes. This paper employed a novel application of supervised and unsupervised learning to link URM wall design and mechanical properties to the failure mode. We used a database with 330 backbone curves from cyclically loaded URM walls as well as the associated images captured during the experiments. Based on the observations documented during the experiments, information on the cyclic curves, and the associated images, the walls were first manually classified into four failure modes: bed-joint sliding, diagonal tension, rocking, and toe crushing. Then -means clustering was used to group the damaged walls into four classes based on critical points along the backbone curves. A hybridity index was introduced to quantify the contribution of each failure mode based on the distance from the centroid of the clusters. The design and mechanical properties of the URM walls were then used to predict the hybridity index using a multioutput regression model. The hybridity prediction model determines the contribution of the various failure modes to the ultimate behavior of a damaged URM wall. The proposed framework provides a robust approach to quantifying the relative contribution of each failure mechanism to the overall performance of the URM wall.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request
Acknowledgments
The authors acknowledge all researchers who provided experimental data and images of their tests.
References
Abrams, D. P., and N. Shah. 1992. Cyclic load testing of unreinforced masonry walls. Urbana, IL: Univ. of Illinois at Urbana-Champaign, Advanced Construction Technology Center.
ACI (American Concrete Institute). 2019. Building code requirements for structural concrete and commentary. ACI 318M-19. Farmington Hills, MI: ACI.
Alcaino, P., and H. Santa-Maria. 2008. “Experimental response of externally retrofitted masonry walls subjected to shear loading.” J. Compos. Constr. 12 (5): 489–498. https://doi.org/10.1061/(ASCE)1090-0268(2008)12:5(489).
Al-Gohi, B. 2013. “An experimental and numerical study of retrofitted masonry walls under cyclic loading.” Ph.D. dissertation, Dept. of Civil Engineering, King Fahd Univ. of Petroleum and Minerals.
ASCE. 2017. Seismic evaluation and retrofit of existing buildings. ASCE 41. Reston, VA: ASCE.
Asjodi, A. H., and K. M. Dolatshahi. 2022. “Peak drift ratio estimation for unreinforced masonry walls using visual features of damage.” Bull. Earthquake Eng. 20 (15): 8357–8379. https://doi.org/10.1007/s10518-022-01523-8.
Asjodi, A. H., and K. M. Dolatshahi. 2023. “Extended fragility surfaces for unreinforced masonry walls using vision-derived damage parameters.” Eng. Struct. 278 (Mar): 115467. https://doi.org/10.1016/j.engstruct.2022.115467.
Bacht, T. 2015. Horizontaltragfähigkeit von Wänden aus Leichtbeton-Schalungssteinen—Experimente und numerische Modellierung. Karlsruhe, Germany: Karlsruher Instituts für Technologie Scientific Publishing.
Barahim, A. 2015. “Behavior and modeling of CFRP retrofitted sandstone block masonry walls.” Master’s thesis, Dept. of Civil Engineering, King Fahd Univ. of Petroleum and Minerals.
Barkhordari, M. S., and L. M. Massone. 2022. “Failure mode detection of reinforced concrete shear walls using ensemble deep neural networks.” Int. J. Concr. Struct. Mater. 16 (1): 33. https://doi.org/10.1186/s40069-022-00522-y.
Calderini, C., S. Cattari, and S. Lagomarsino. 2009. “In-plane strength of unreinforced masonry piers.” Earthquake Eng. Struct. Dyn. 38 (2): 243–267. https://doi.org/10.1002/eqe.860.
Chen, T., and C. Guestrin. 2016. “XGBoost: A scalable tree boosting system.” In Proc., ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, 785–794. New York: Association for Computing Machinery. https://doi.org/10.1145/2939672.2939785.
Choi, Y. C., H. K. Choi, D. Lee, and C. S. Choi. 2015. “Shear strength of unreinforced masonry wall retrofitted with fiber reinforced polymer and hybrid sheet.” Int. J. Polym. Sci. 2015 (1): 863057. https://doi.org/10.1155/2015/863057.
Deger, Z. T., and G. Taskin Kaya. 2022. “Glass-box model representation of seismic failure mode prediction for conventional reinforced concrete shear walls.” Neural Comput. Appl. 34 (15): 13029–13041. https://doi.org/10.1007/s00521-022-07159-8.
Deng, M., and S. Yang. 2018. “Cyclic testing of unreinforced masonry walls retrofitted with engineered cementitious composites.” Constr. Build. Mater. 177 (Jul): 395–408. https://doi.org/10.1016/j.conbuildmat.2018.05.132.
Deng, M., W. Zhang, and N. Li. 2020. “In-plane cyclic loading tests of concrete hollow block masonry walls retrofitted with high ductile fiber-reinforced concrete.” Constr. Build. Mater. 238 (Mar): 117758. https://doi.org/10.1016/j.conbuildmat.2019.117758.
Dong, K., Z. A. Sui, J. Jiang, and X. Zhou. 2019. “Experimental study on seismic behavior of masonry walls strengthened by reinforced mortar cross strips.” Sustainability 11 (18): 1–19. https://doi.org/10.3390/su11184866.
El-Dakhakhni, W. 2021. “Data analytics in structural engineering.” J. Struct. Eng. 147 (8): 02021001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003112.
Elgawady, M. 2004. “Seismic in-plane behavior of URM walls upgraded with composites.” Doctoral dissertation, Dept. of Civil Enginnering, École Polytechnique Fédérale De Lausanne.
Elghazouli, A. Y., D. V. Bompa, S. A. Mourad, and A. Elyamani. 2021. “In-plane lateral cyclic behaviour of lime-mortar and clay-brick masonry walls in dry and wet conditions.” Bull. Earthquake Eng. 19 (13): 5525–5563. https://doi.org/10.1007/s10518-021-01170-5.
Entezami, A., H. Sarmadi, and B. Behkamal. 2023a. “Long-term health monitoring of concrete and steel bridges under large and missing data by unsupervised meta learning.” Eng. Struct. 279 (Mar): 115616. https://doi.org/10.1016/j.engstruct.2023.115616.
Entezami, A., H. Sarmadi, B. Behkamal, and C. De Michele. 2023b. “On continuous health monitoring of bridges under serious environmental variability by an innovative multi-task unsupervised learning method.” Struct. Infrastruct. Eng. 1–19. https://doi.org/10.1080/15732479.2023.2166538.
Esposito, R., and G. Ravenhoorst. 2017. Quasi-static cyclic in-plane tests on masonry components 2016/2017. Delft, Netherlands: Delft Univ. of Technology.
Facconi, L., A. Conforti, F. Minelli, and G. A. Plizzari. 2015. “Improving shear strength of unreinforced masonry walls by nano-reinforced fibrous mortar coating.” Mater. Struct. 48 (8): 2557–2574. https://doi.org/10.1617/s11527-014-0337-0.
Fehling, E., J. Sturez, and A. Emami. 2007. D 7.1 a test results on the behaviour of masonry under static cyclic in plane lateral loads. Kassel, Germany: Univ. of Kassel.
FEMA. 1997. NEHRP guidelines for the seismic rehabilitation of buildings. FEMA 273. Washington, DC: FEMA.
Frumento, S., G. Magenes, P. Morandi, and G. M. Calvi. 2009. Interpretation of experimental shear tests on clay brick masonry walls and evaluation of q-factors for seismic design. Pavia, Italy: Iuss Press.
Ghaderi, S., S. Kassaeian, and O. Negahdar. 2022. “Fragility functions for unreinforced masonry walls subjected to cyclic lateral and constant vertical loading.” Life Cycle Reliab. Saf. Eng. 11 (4): 337–354. https://doi.org/10.1007/s41872-022-00208-0.
Ghahramani, Z. 2004. “Unsupervised learning.” In Vol. 3176 of Advanced lectures on machine learning, edited by O. Bousquet, U. von Luxburg, and G. Rätsch, 72–112. Berlin: Springer. https://doi.org/10.1007/978-3-540-28650-9_5.
Ghiassi, B., M. Soltani, and A. A. Tasnimi. 2012. “Seismic evaluation of masonry structures strengthened with reinforced concrete layers.” J. Struct. Eng. 138 (6): 729–743. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000513.
Gouveia, J. P., and P. B. Louren. 2007. “Masonry shear walls subjected to cyclic loading: Influence of confinement and horizontal reinforcement.” In Proc., 10th North American Masonry Conf. Longmont, CO: The Masonry Society.
Graziotti, F., A. Rossi, M. Mandirola, A. Penna, and G. Magenes. 2016. “Experimental characterisation of calcium-silicate brick masonry for seismic assessment.” In Proc., 16th Int. Brick and Block Masonry Conf., IBMAC 2016: Brick and Block Masonry: Trends, Innovations and Challenges. London: Taylor & Francis. https://doi.org/10.1201/b21889-215.
Haach, V. G., G. Vasconcelos, and P. B. Lourenço. 2010. “Experimental analysis of reinforced concrete block masonry walls subjected to in-plane cyclic loading.” J. Struct. Eng. 136 (4): 452–462. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000125.
Hopkins, D. C. 1992. “Seismic design of reinforced concrete and masonry buildings.” Bull. N. Z. Soc. Earthquake Eng 25 (4): 362. https://doi.org/10.5459/bnzsee.25.4.362.
Huang, H., and H. V. Burton. 2019. “Classification of in-plane failure modes for reinforced concrete frames with infills using machine learning.” J. Build. Eng. 25 (Sep): 100767. https://doi.org/10.1016/j.jobe.2019.100767.
Iannacone, L., M. Andreini, P. Gardoni, and M. Sassu. 2021. “Probabilistic models and fragility estimates for unreinforced masonry walls subject to in-plane horizontal forces.” J. Struct. Eng. 147 (6): 04021074. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003006.
Khanmohammadi, M., H. Behnam, and M. S. Marefat. 2011. “Experimental and analytical investigation on in-Plane behavior of URM flanged walls.” J. Seismolog. Earthquake Eng. 13 (2): 93–108.
Konthesingha, K. M. C., M. J. Masia, R. B. Petersen, and A. W. Page. 2012. “Cyclic in-plane shear behaviour of unreinforced masonry wall panels strengthened with NSM FRP strips.” In Proc., 15th Int. Brick and Block Masonry Conf. São Carlos, Brazil: Federal Univ. of São Carlos.
Laursen, P. 2002. “Seismic analysis and design of post-tensioned concrete masonry walls.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Auckland.
Magenes, G., and G. M. Calvi. 1992. “Cyclic behavior of brick masonry walls.” In Proc., Earthquake Engineering Tenth World Conf., 3517–3522. Rotterdam, Netherlands: A.A. Balkema.
Magenes, G., P. Morandi, A. Penna, and V. Ferrata. 2008. D 7.1 c test results on the behaviour of masonry under static cyclic in plane lateral loads. Munich, Germany: Technical Univ. of Munich.
Mangalathu, S., H. Jang, S. H. Hwang, and J. S. Jeon. 2020. “Data-driven machine-learning-based seismic failure mode identification of reinforced concrete shear walls.” Eng. Struct. 208 (Apr): 110331. https://doi.org/10.1016/j.engstruct.2020.110331.
Mangalathu, S., and J. S. Jeon. 2018. “Classification of failure mode and prediction of shear strength for reinforced concrete beam-column joints using machine learning techniques.” Eng. Struct. 160 (Apr): 85–94. https://doi.org/10.1016/j.engstruct.2018.01.008.
Maria, H. S., P. Alcaino, and C. Luders. 2006. “Experimental response of masonry walls externally reinforced with carbon fiber fabrics.” In Proc., 8th US National Conf. on Earthquake Engineering 2006. Rockville, MD: Nuclear Regulatory Commission.
Martinelli, E., F. Perri, C. Sguazzo, and C. Faella. 2016. “Cyclic shear-compression tests on masonry walls strengthened with alternative configurations of CFRP strips.” Bull. Earthquake Eng. 14 (6): 1695–1720. https://doi.org/10.1007/s10518-016-9895-6.
Masonry Standards Joint Committee, American Concrete Institute, Structural Engineering Institute, and Masonry Society. 2013. Building code requirements and specification for masonry structures: Containing building code requirements for masonry structures. TMS 402-13/ACI 530-13/ASCE 5-13. Longmont, CO: The Masonry Society.
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.
Morandi, P., L. Albanesi, and G. Magenes. 2014. “URM walls with thin shell/web clay units and unfilled head-joints: Cyclic in-plane tests.” In Proc., European Conf. on Earthquake Engineering and Seismology, 1–12. Red Hook, NY: Curran Associates.
Morandi, P., L. Albanesi, and G. Magenes. 2019. “In-plane cyclic response of new URM systems with thin web and shell clay units.” J. Earthquake Eng. 25 (8): 1533–1564. https://doi.org/10.1080/13632469.2019.1586801.
Münich, J. C. 2011. “Hybride Multidirektionaltextilien zur Erdbebenverstärkung von Mauerwerk—Experimente und numerische Untersuchungen mittels eines erweiterten Makromodells.” Ph.D. dissertation, Institute for Structural Engineering and Building Materials Technology (IMB), Karlsruhe Institute of Technology.
Omote, Y., and R. Clough. 1976. “Cyclic shear tests of masonry piers volume I—Test results.” In Earthquake engineering. Washington, DC: National Science Foundation.
Osman, B. H., and Z. Chen. 2018. “Experimental studies on the behaviors of new energy-saving concrete self-insulating load-bearing block wall under low-cycle cyclic loading.” Adv. Mater. Sci. Eng. 2018 (1): 4214532. https://doi.org/10.1155/2018/4214532.
Pedregosa, F., et al. 2011. “Scikit-learn: Machine learning in Python.” J. Mach. Learn. Res. 12 (Nov): 2825–2830.
Peng, B., S. Wei, L. Long, Q. Zheng, Y. Ma, and L. Chen. 2019. “Experimental investigation on the performance of historical squat masonry walls strengthened by UHPC and reinforced polymer mortar layers.” Appl. Sci. 9 (10): 2096. https://doi.org/10.3390/app9102096.
Petry, S., and K. Beyer. 2014a. “Influence of boundary conditions and size effect on the drift capacity of URM walls.” Eng. Struct. 65 (Apr): 76–88. https://doi.org/10.1016/j.engstruct.2014.01.048.
Petry, S., and K. Beyer. 2014b. “Scaling unreinforced masonry for reduced-scale seismic testing.” Bull. Earthquake Eng. 12 (6): 2557–2581. https://doi.org/10.1007/s10518-014-9605-1.
Qin, C., G. Bai, T. Wu, B. Wang, and G. Fu. 2021. “Seismic behavior of unreinforced and confined masonry walls using innovative sintered insulation shale blocks under cyclic in-plane loading.” Constr. Build. Mater. 268 (Jan): 121063. https://doi.org/10.1016/j.conbuildmat.2020.121063.
Rezaei, S., K. M. Dolatshahi, and A. H. Asjodi. 2023. “Multivariable fragility curves for unreinforced masonry walls.” Bull. Earthquake Eng. 21 (7): 3357–3398. https://doi.org/10.1007/s10518-023-01649-3.
Salmanpour, A. H., N. Mojsilović, and J. Schwartz. 2015. “Displacement capacity of contemporary unreinforced masonry walls: An experimental study.” Eng. Struct. 89 (Apr): 1–16. https://doi.org/10.1016/j.engstruct.2015.01.052.
Sarmadi, H., A. Entezami, and F. Magalhães. 2023. “Unsupervised data normalization for continuous dynamic monitoring by an innovative hybrid feature weighting-selection algorithm and natural nearest neighbor searching.” Struct. Health Monit. 22 (6): 4005–4026. https://doi.org/10.1177/14759217231166116.
Sarmadi, H., and K. V. Yuen. 2021. “Early damage detection by an innovative unsupervised learning method based on kernel null space and peak-over-threshold.” Comput.-Aided Civ. Infrastruct. Eng. 36 (9): 1150–1167. https://doi.org/10.1111/mice.12635.
Scheufler, W., D. Schermer, S. Grabowski, W. Finckh, and H. Zilch. 2008. Test results on the behaviour of masonry under static cyclic in-plane lateral loads. Munich, Germany: Technical Univ. of Munich.
Shabdin, M., N. K. A. Attari, and M. Zargaran. 2018. “Experimental study on seismic behavior of un-reinforced masonry (URM) brick walls strengthened with shotcrete.” Bull. Earthquake Eng. 16 (9): 3931–3956. https://doi.org/10.1007/s10518-018-0340-x.
Shorten, C., and T. M. Khoshgoftaar. 2019. “A survey on image data augmentation for deep learning.” J Big Data 6 (1): 60. https://doi.org/10.1186/s40537-019-0197-0.
Soti, R., and A. R. Barbosa. 2019. “Experimental and applied element modeling of masonry walls retrofitted with near surface mounted (NSM) reinforcing steel bars.” Bull. Earthquake Eng. 17 (7): 4081–4114. https://doi.org/10.1007/s10518-019-00607-2.
Susila, I. G. A. 2014. “Experimental and numerical studies of masonry wall panels and timber frames of low-rise structures under seismic loadings in Indonesia.” Ph.D. thesis, School of Mechanical Aerospace and Civil Engineering, Univ. of Manchester.
Šušteršič, I. 2017. “Utrjevanje stavb s križno lepljenimi lesenimi ploščami: Doktorska disertacija.” Ph.D. dissertation, Dept. of Construction and Geodesy, Univ. of Ljubljana.
Taghdi, M. 1998. “Seismic retrofit of low-rise masonry and concrete walls by steel strips.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Ottawa.
The Masonry Society. 2022. Building code requirements and specification for masonry structures. TMS 402/602-22. Longmont, CO: The Masonry Society.
Tomaževič, M. 2000. “Earthquake-resistant design of masonry structures.” In Series on innovation in structures and construction, 1. London: Imperial College Press.
Tomaževič, M., and P. Weiss. 2012. “Robustness as a criterion for use of hollow clay masonry units in seismic zones: An attempt to propose the measure.” Mater. Struct. 45 (4): 541–559. https://doi.org/10.1617/s11527-011-9781-2.
Triller, P., M. Tomaževič, and M. Gams. 2018. “Seismic behaviour of masonry buildings built of low compressive strength units.” Bull. Earthquake Eng. 16 (12): 6191–6219. https://doi.org/10.1007/s10518-018-0418-5.
Vögeli, C., N. Mojsilović, and B. Stojadinović. 2015. “Masonry wallettes with a soft layer bed joint: Behaviour under static-cyclic loading.” Eng. Struct. 86 (Mar): 16–32. https://doi.org/10.1016/j.engstruct.2014.12.038.
Wu, F., H. T. Wang, G. Li, J. Q. Jia, and H. N. Li. 2017. “Seismic performance of traditional adobe masonry walls subjected to in-plane cyclic loading.” Mater. Struct. 50 (1): 1–14. https://doi.org/10.1617/s11527-016-0927-0.
Wu, J., L. Zeng, and B. Wang. 2020. “Seismic performance of masonry walls built with new type of fired shale hollow blocks.” Adv. Civ. Eng. 2020 (1): 3984240. https://doi.org/10.1155/2020/3984240.
Zhou, Q., L. Yang, and W. Zhao. 2020. “Experimental analysis of seismic performance of masonry shear wall reinforced with PP-band mesh and plastering mortar under in-plane cyclic loading.” Adv. Civ. Eng. 2020 (1): 4015790. https://doi.org/10.1155/2020/4015790.
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Journal of Structural Engineering
Volume 150 • Issue 11 • November 2024
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© 2024 American Society of Civil Engineers.
History
Received: Jul 26, 2023
Accepted: May 15, 2024
Published online: Aug 21, 2024
Published in print: Nov 1, 2024
Discussion open until: Jan 21, 2025
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