Dry-Stack Masonry Wall Modeling Using Finite-Element Method
Publication: Journal of Structural Engineering
Volume 148, Issue 11
Abstract
Masonry has been used throughout the world and in heritage and historical structures. For this study, two-dimensional (2D) nonlinear finite-element models based on a micromodeling approach were constructed in order to model deformation characteristics of historical stone masonry shear walls subject to combined axial compression and lateral loading. For calibration and validation of the numerical models, previous experimental tests results were considered. To assess critical parameter effects on the behavior of the walls, sensitivity analysis on the calibrated model was conducted. To obtain the overall energy absorption capability of the walls, the loading protocol, and load-displacement hysteresis curves, cyclic analysis of the calibrated model for the dry-stack mortarless sawn stone masonry walls was performed. Numerical analysis results were then compared with experimental test results with general agreement found.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The work presented in this paper was sponsored by National Research Foundation of Korea (NRF) Grant No. 2021R1A5A1032433. The views expressed are those of authors, and do not necessarily represent those of the sponsor.
References
Addessi, D., S. Marfia, E. Sacco, and J. Toti. 2014. “Modeling approaches for masonry structures.” Open Civ. Eng. J. 8 (1): 29. https://doi.org/10.2174/1874149501408010288.
Al-Fakih, A., B. S. Mohammed, and M. S. Liew. 2018. “Behavior of the dry bed joint in the mortarless interlocking masonry system: An overview.” Civ. Eng. Res. J. 4 (3): 12. https://doi.org/10.19080/CERJ.2018.04.555639.
Asteris, P. G. 1996. “A method for the modeling of infilled frames (method of contact points).” In Proc., 11th World Conf. on Earthquake Engineering. Oxford, UK: Elsevier.
Asteris, P. G. 2003. “Lateral stiffness of brick masonry infilled plane frames.” J. Struct. Eng. 129 (8): 1071–1079. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:8(1071).
Asteris, P. G. 2008. “Finite element micro-modeling of infilled frames.” Electron. J. Struct. Eng. 8: 1–11.
Asteris, P. G., et al. 2019. “Stochastic vulnerability assessment of masonry structures: Concepts, modeling and restoration aspects.” Appl. Sci. 9 (2): 243. https://doi.org/10.3390/app9020243.
Asteris, P. G., V. Sarhosis, A. Mohebkhah, V. Plevris, L. Papaloizou, P. Komodromos, and J. V. Lemos. 2015. “Numerical modeling of historic masonry structures.” In Handbook of research on seismic assessment and rehabilitation of historic structures, 213–256. Hershey, PA: IGI Global.
Azevedo, J. O., G. Sincraian, and J. V. Lemos. 2000. “Seismic behavior of blocky masonry structures.” Earthquake Spectra 16 (2): 337–365. https://doi.org/10.1193/1.1586116.
Bui, T. T., A. Limam, V. Sarhosis, and M. Hjiaj. 2017. “Discrete element modelling of the in-plane and out-of-plane behaviour of dry-joint masonry wall constructions.” Eng. Struct. 136 (Jan): 277–294. https://doi.org/10.1016/j.engstruct.2017.01.020.
Calvi, G. M., G. R. Kingsley, and G. Magenes. 1996. “Testing of masonry structures for seismic assessment.” Earthquake Spectra 12 (1): 145–162. https://doi.org/10.1193/1.1585872.
Casapulla, C., and L. U. Argiento. 2018. “In-plane frictional resistances in dry block masonry walls and rocking-sliding failure modes revisited and experimentally validated.” Composites, Part B 132 (12): 197–213. https://doi.org/10.1016/j.compositesb.2017.09.013.
Dassault Systems. 2020. ABAQUS documentation. Providence, RI: Dassault Systèmes Simulia Corporation.
D’Ayala, D., and Y. Shi. 2011. “Modeling masonry historic buildings by multi-body dynamics.” Int. J. Archit. Heritage 5 (4–5): 483–512. https://doi.org/10.1080/15583058.2011.557138.
Dazio, A., and K. Beyer. 2010. “Seismic behaviour of different types of masonry spandrels.” In Proc., 14th European Conf. on Earthquake Engineering. Ohrid, Macedonia: Macedonian Association for Earthquake Engineering.
Elvin, A., and H. C. Uzoegbo. 2011. “Response of a full-scale dry-stack masonry structure subject to experimentally applied earthquake loading.” J. South Afr. Inst. Civ. Eng. 53 (1): 22–32.
Lourenço, P. B., D. V. Oliveira, P. Roca, and A. Orduña. 2005. “Dry joint stone masonry walls subjected to in-plane combined loading.” J. Struct. Eng. 131 (11): 1665–1673. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:11(1665).
Lourenço, P. B., L. F. Ramos, and G. Vasconcelos. 2004. “On the cyclic behaviour of stone dry masonry joints.” In Proc., 13th Int. Brick and Block Masonry Conf. Eindhoven, Netherlands: Technische Universiteit Eindhoven.
Malomo, D., and M. J. DeJong. 2021. “A macro-distinct element model (M-DEM) for simulating the in-plane cyclic behavior of URM structures.” Eng. Struct. 227 (11): 111428. https://doi.org/10.1016/j.engstruct.2020.111428.
Martínez, M., and S. Atamturktur. 2019. “Experimental and numerical evaluation of reinforced dry-stacked concrete masonry walls.” J. Build. Eng. 22 (Dec): 181–191. https://doi.org/10.1016/j.jobe.2018.12.007.
Oliveira, R. L., J. P. C. Rodrigues, J. M. Pereira, P. B. Lourenço, and H. U. Marschall. 2021. “Normal and tangential behaviour of dry joints in refractory masonry.” Eng. Struct. 243 (21): 112600. https://doi.org/10.1016/j.engstruct.2021.112600.
Orduña, A., and P. B. Lourenço. 2003. “Cap model for limit analysis and strengthening of masonry structures.” J. Struct. Eng. 129 (10): 1287–1288. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:10(1287).
Page, A. W. 1981. “The biaxial compressive strength of brick masonry.” Proc. Inst. Civ. Eng. 71 (Jan): 893–906. https://doi.org/10.1680/iicep.1981.1825.
Peña, F., P. B. Lourenço, and J. V. Lemos. 2006. “Modeling the dynamic behavior of masonry walls as rigid blocks.” In Proc., 3rd European Conf. on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering. Dordrecht, Netherlands: Springer.
Portioli, F., C. Casapulla, M. Gilbert, and L. Cascini. 2014. “Limit analysis of 3D masonry block structures with non-associative frictional joints using cone programming.” Comput. Struct. 143 (12): 108–121. https://doi.org/10.1016/j.compstruc.2014.07.010.
Portioli, F., L. Cascini, C. Casapulla, and M. D’Aniello. 2013. “Limit analysis of masonry walls by rigid block modelling with cracking units and cohesive joints using linear programming.” Eng. Struct. 57 (12): 232–247. https://doi.org/10.1016/j.engstruct.2013.09.029.
Pulatsu, B., E. M. Bretas, and P. B. Lourenco. 2016. “Discrete element modeling of masonry structures. Validation and application.” J. Earthquakes Struct. 11 (Oct): 563–582. https://doi.org/10.12989/eas.2016.11.4.563.
Rai, D. C., and S. Dhanapal. 2015. “Mineralogical and mechanical properties of masonry and mortars of the lucknow monuments circa the 18th century.” Int. J. Archit. Heritage 9 (3): 300–309. https://doi.org/10.1080/15583058.2013.780109.
Restrepo Vélez, L. F., G. Magenes, and M. C. Griffith. 2014. “Dry stone masonry walls in bending—Part I: Static tests.” Int. J. Archit. Heritage 8 (1): 1–28. https://doi.org/10.1080/15583058.2012.663059.
Smoljanović, H., N. Živaljić, and Ž. Nikolić. 2013. “A combined finite-discrete element analysis of dry stone masonry structures.” Eng. Struct. 52 (Feb): 89–100. https://doi.org/10.1016/j.engstruct.2013.02.010.
Syrmakezis, C. A., and P. G. Asteris. 2001. “Masonry failure criterion under biaxial stress state.” J. Mater. Civ. Eng. 13 (1): 58–64. https://doi.org/10.1061/(ASCE)0899-1561(2001)13:1(58).
Uzoegbo, H. C., and J. V. Ngowi. 2003. “Structural behaviour of dry-stack interlocking block walling systems subject to in-plane loading.” Concr. Beton. 103 (4): 9–13.
Vaculik, J., M. C. Griffith, and G. Magenes. 2014. “Dry stone masonry walls in bending—Part II: Analysis.” Int. J. Archit. Heritage 8 (1): 29–48. https://doi.org/10.1080/15583058.2012.663060.
Vasconcelos, G. 2005. “Experimental investigations on the mechanics of stone masonry: Characterization of granites and behavior of ancient masonry shear walls.” Doctoral dissertation, Dept. of Civil Engineering, Univ. of Minho.
Yavartanoo, F., T. H.-K. Kang, T. U. Ha, W. Y. Lim, and S. G. Hong. 2020. “Restoration of Mireuksaji Stone Pagoda: Evaluation of reinforced granite members with titanium bars.” J. Perform. Constr. Facil. 34 (4): 04020046. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001454.
Zahra, T., and M. Dhanasekar. 2018. “Characterisation and strategies for mitigation of the contact surface unevenness in dry-stack masonry.” Constr. Build. Mater. 169 (Mar): 612–628. https://doi.org/10.1016/j.conbuildmat.2018.03.002.
Zimmermann, T., A. Strauss, and K. Bergmeister. 2012. “Structural behavior of low-and normal-strength interface mortar of masonry.” Mater. Struct. 45 (6): 829–839. https://doi.org/10.1617/s11527-011-9801-2.
Zucchini, A., and P. B. Lourenço. 2002. “A micro-mechanical model for the homogenisation of masonry.” Int. J. Solids Struct. 39 (12): 3233–3255. https://doi.org/10.1016/S0020-7683(02)00230-5.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 148 • Issue 11 • November 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jul 21, 2021
Accepted: May 13, 2022
Published online: Aug 29, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 29, 2023
ASCE Technical Topics:
- Analysis (by type)
- Calibration
- Construction (by type)
- Construction engineering
- Continuum mechanics
- Dynamic loads
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Finite element method
- Geology
- Geotechnical engineering
- Lateral loads
- Masonry
- Measurement (by type)
- Methodology (by type)
- Models (by type)
- Numerical methods
- Rocks
- Sensitivity analysis
- Shear walls
- Solid mechanics
- Structural dynamics
- Structural engineering
- Structural members
- Structural systems
- Two-dimensional models
- Walls
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