Finite Element Detailed Micromodeling of Unreinforced Earth Block Masonry
Publication: Journal of Structural Engineering
Volume 149, Issue 7
Abstract
The structural response of earth block masonry is characterized by cracking patterns and inelastic behavior distributed across masonry units, mortar joints, and unit-mortar interfaces. This behavior is different from that exhibited by masonry built with fired clay bricks, concrete blocks, or regularly shaped stones, which are commonly characterized by cracking patterns and inelastic behavior within the mortar joints and unit-mortar interfaces and are typically analyzed using finite element (FE) simplified micro-models (SMMs). This paper presents a new detailed micromodel (DMM) specifically tailored for earth block masonry systems. The proposed DMM enables the accurate simulation of the experimentally-measured mechanical response of earth block wallettes subject to combined shear-compression diagonal loads, whereas the SMMs produce inaccurate results. Through a series of FE simulations of representative masonry elements, this study shows that the proposed DMM and different types of SMMs provide consistent predictions of mechanical behavior only under specific conditions, depending on the relative strength of masonry units and mortar as well as the loading conditions. The outcomes of this research provide a new tool for accurate prediction and simulation in instances where the compressive strength of the masonry units is similar to or lower than that of the mortar.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available in a repository online in accordance with funder data retention policies. The Abaqus/Explicit User subroutine VMAT written in FORTRAN for the CTSIM can be found in Kumar and Barbato (2023). The input files and data used for the validation of the DMM results for CSEB masonry wallette can be found in Kumar et al. (2023).
Acknowledgments
The authors gratefully acknowledge the support of the National Science Foundation through awards CMMI #1537078, #1537776 and #1850777, by the University of California Office of the President (UCOP) Lab Fees program through award LFR-20-651032, by the Electric Power Research Institute, Inc. (EPRI) through award DKT200194, and by the University of South Carolina Office of the Vice President for Research ASPIRE and SPARC programs, and Office of Undergraduate Research Magellan Scholar program. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the writers and do not necessarily reflect the views of the sponsoring agencies.
References
Andreotti, G., F. Graziotti, and G. Magenes. 2018. “Detailed micro-modelling of the direct shear tests of brick masonry specimens: The role of dilatancy.” Eng. Struct. 168 (Aug): 929–949. https://doi.org/10.1016/j.engstruct.2018.05.019.
Anthoine, A. 1997. “Homogenization of periodic masonry: Plane stress, generalized plane strain or 3D modelling?” Commun. Numer. Methods Eng. 13 (5): 319–326. https://doi.org/10.1002/(SICI)1099-0887(199705)13:5%3C319::AID-CNM55%3E3.0.CO;2-S.
Calderón, S., C. Sandoval, and O. Arnau. 2017. “Shear response of partially-grouted reinforced masonry walls with a central opening: Testing and detailed micro-modelling.” Mater. Des. 118 (Mar): 122–137. https://doi.org/10.1016/j.matdes.2017.01.019.
Cuéllar-Azcárate, M. C. 2016. “Engineered earthen masonry structures for extreme wind loads.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of South Carolina.
D’Altri, A. M., V. Sarhosis, G. Milani, J. Rots, S. Cattari, S. Lagomarsino, E. Sacco, A. Tralli, G. Castellazzi, and S. de Miranda. 2020. “Modeling strategies for the computational analysis of unreinforced masonry structures: Review and classification.” Arch. Comput. Methods Eng. 27 (4): 1153–1185. https://doi.org/10.1007/s11831-019-09351-x.
De Villiers, W. I. 2019. “Computational and experimental modelling of masonry walling towards performance-based standardisation of alternative masonry units for low-income housing.” Ph.D. dissertation, Faculty of Engineering, Stellenbosch Univ.
De Villiers, W. I., G. P. A. G. Van Zijl, and W. P. Boshoff. 2021. “Finite element analysis of single-storey unreinforced alternative masonry walls.” Adv. Struct. Eng. 24 (9): 2011–2026. https://doi.org/10.1177/1369433221992483.
Dolatshahi, K. M., and A. J. Aref. 2011. “Two-dimensional computational framework of meso-scale rigid and line interface elements for masonry structures.” Eng. Struct. 33 (12): 3657–3667. https://doi.org/10.1016/j.engstruct.2011.07.030.
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.
Erdogmus, E., B. Skourup, E. Garcia, and F. Matta. 2019. “Tornado-resistant residential design using experimentally obtained characteristic strength values for cement-stabilized earthen masonry.” J. Archit. Eng. 25 (2): 04019012. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000342.
Fabbri, A., J.-C. Morel, J.-E. Aubert, Q.-B. Bui, D. Gallipoli, and B. V. V. Reddy, eds. 2022. Testing and characterisation of earth-based building materials and elements. Cham, Switzerland: Springer.
Jankowiak, T., and T. Lodygowski. 2005. “Identification of parameters of concrete damage plasticity constitutive model.” Found. Civ. Environ. Eng. 6 (1): 53–69.
Kaushik, H. B., D. C. Rai, and S. K. Jain. 2007. “Stress-strain characteristics of clay brick masonry under uniaxial compression.” J. Mater. Civ. Eng. 19 (9): 728–739. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:9(728).
King, B. 2006. Review of earthen building codes and standards from around the world. Sausalito, CA: Green Building Press.
Kouznetsova, V. G. 2004. “Computational homogenization for the multi-scale analysis of multi-phase materials.” Ph.D. thesis, Dept. of Mechanical Engineering, Technische Universiteit Eindhoven.
Kumar, N., and M. Barbato. 2019. “New constitutive model for interface elements in finite-element modeling of masonry.” J. Eng. Mech. 145 (5): 04019022. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001592.
Kumar, N., and M. Barbato. 2022. “Effects of sugarcane bagasse fibers on the properties of compressed and stabilized earth blocks.” Constr. Build. Mater. 315 (Jan): 125552. https://doi.org/10.1016/j.conbuildmat.2021.125552.
Kumar, N., and M. Barbato. 2023. “Abaqus user subroutine UMAT/VMAT written in FORTRAN for the coupled tension-shear interface model (CTSIM).” Accessed January 21, 2023. https://doi.org/10.5281/zenodo.7556659.
Kumar, N., M. Barbato, and R. Holton. 2018. “Feasibility study of affordable earth masonry housing in the US Gulf Coast region.” J. Archit. Eng. 24 (2): 04018009. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000311.
Kumar, N., M. Barbato, E. L. Rengifo-López, and F. Matta. 2022a. “Capabilities and limitations of existing finite element simplified micro-modeling techniques for unreinforced masonry.” Res. Eng. Struct. Mater. 8 (3): 463–490. https://doi.org/10.17515/resm2022.408st0226.
Kumar, N., M. Barbato, E. L. Rengifo-López, and F. Matta. 2023. “Finite element micro-modeling of unreinforced earth block masonry.” Accessed January 31, 2023. https://doi.org/10.17603/ds2-041d-es47.
Kumar, N., E. L. Rengifo-López, M. Barbato, and F. Matta. 2022b. “Finite element micro-modeling of earth block masonry systems.” In Proc., 11th Int. Conf. on Architecture & Construction with Earthen Materials. La Madera, NM: Adobe in Action.
Kupfer, H., H. K. Hilsdorf, and H. Rusch. 1969. “Behavior of concrete under biaxial stresses.” ACI J. Proc. 66 (8): 656–666. https://doi.org/10.14359/7388.
Laursen, P. T., N. A. Herskedal, D. C. Jansen, and B. Qu. 2015. “Out-of-plane structural response of interlocking compressed earth block walls.” Mater. Struct. 48 (1–2): 321–336. https://doi.org/10.1617/s11527-013-0186-2.
Lee, J., and G. L. Fenves. 1998. “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech. 124 (8): 892–900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
Lotfi, H. R., and P. B. Shing. 1994. “Interface model applied to fracture of masonry structures.” J. Struct. Eng. 120 (1): 63–80. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:1(63).
Lourenço, P. B. 1996. “Computational strategies for masonry structures.” Ph.D. dissertation, Dept. of Civil Engineering, Delft Univ. of Technology.
Lubliner, J., J. Oliver, S. Oller, and E. Oñate. 1989. “A plastic-damage model for concrete.” Int. J. Solids Struct. 25 (3): 299–326. https://doi.org/10.1016/0020-7683(89)90050-4.
Macorini, L., and B. A. Izzuddin. 2011. “A non-linear interface element for 3D mesoscale analysis of brick-masonry structures.” Int. J. Numer. Methods Eng. 85 (12): 1584–1608. https://doi.org/10.1002/nme.3046.
Matta, F., M. C. Cuéllar-Azcárate, and E. Garbin. 2015. “Earthen masonry dwelling structures for extreme wind loads.” Eng. Struct. 83 (Jan): 163–175. https://doi.org/10.1016/j.engstruct.2014.10.043.
McHenry, P. G. 1989. Adobe and rammed earth buildings: Design and construction. Tucson, Arizona: University of Arizona Press.
Miccoli, L., A. Garofano, P. Fontana, and U. Müller. 2015. “Experimental testing and finite element modelling of earth block masonry.” Eng. Struct. 104 (Dec): 80–94. https://doi.org/10.1016/j.engstruct.2015.09.020.
Miccoli, L., U. Müller, and P. Fontana. 2014. “Mechanical behaviour of earthen materials: A comparison between earth block masonry, rammed earth and cob.” Constr. Build. Mater. 61 (Jun): 327–339. https://doi.org/10.1016/j.conbuildmat.2014.03.009.
Michał, S., and W. Andrzej. 2015. “Calibration of the CDP model parameters in Abaqus.” In Proc., 2015 World Congress on Structural Engineering and Mechanics. Incheon, Korea: Techno-Press.
Minke, G. 2004. Building with earth: Design and technology of a sustainable architecture. Boston, MA: Birkhäuser Architecture.
Morel, J. C., A. Mesbah, M. Oggero, and P. Walker. 2001. “Building houses with local materials: Means to drastically reduce the environmental impact of construction.” Build. Environ. 36 (10): 1119–1126. https://doi.org/10.1016/S0360-1323(00)00054-8.
Nichols, J. M., and Y. Z. Totoev. 1997. “Experimental determination of the dynamic modulus of elasticity of masonry units.” In Proc., 15th Australasian Conf. on the Mechanics of Structures and Materials. Melbourne, Australia: A.A. Balkema.
Oliveira, D., and P. B. Lourenço. 2004. “Implementation and validation of a constitutive model for the cyclic behaviour of interface elements.” Comput. Struct. 82 (17–19): 1451–1461. https://doi.org/10.1016/j.compstruc.2004.03.041.
Pacheco-Torgal, F., and S. Jalali. 2012. “Earth construction: Lessons from the past for future eco-efficient construction.” Constr. Build. Mater. 29 (Apr): 512–519. https://doi.org/10.1016/j.conbuildmat.2011.10.054.
Petracca, M., L. Pelà, R. Rossi, S. Zaghi, G. Camata, and E. Spacone. 2017. “Micro-scale continuous and discrete numerical models for nonlinear analysis of masonry shear walls.” Constr. Build. Mater. 149 (Sep): 296–314. https://doi.org/10.1016/j.conbuildmat.2017.05.130.
Rengifo-López, E. L., N. Kumar, F. Matta, and M. Barbato. 2019. “Experimental and numerical study of uniaxial compression behavior of compressed and stabilized earth blocks.” In Proc., 13th North American Masonry Conf. Longmont, Colorado: The Masonry Society.
Rots, J. G. 2021. Structural masonry. London: CRC Press.
Sandoval, C., and O. Arnau. 2017. “Experimental characterization and detailed micro-modeling of multi-perforated clay brick masonry structural response.” Mater. Struct. 50 (1): 34–50. https://doi.org/10.1617/s11527-016-0888-3.
Silveira, D., H. Varum, A. Costa, T. Martins, H. Pereira, and J. Almeida. 2012. “Mechanical properties of adobe bricks in ancient constructions.” Constr. Build. Mater. 28 (1): 36–44. https://doi.org/10.1016/j.conbuildmat.2011.08.046.
Sturm, T., L. F. Ramos, and P. B. Lourenço. 2015. “Characterization of dry-stack interlocking compressed earth blocks.” Mater. Struct. 48 (9): 3059–3074. https://doi.org/10.1617/s11527-014-0379-3.
Tarque, S., G. Camata, E. Spacone, H. Varum, and M. Blondet. 2014. “Nonlinear dynamic analysis of a full-scale unreinforced adobe model.” Earthquake Spectra 30 (4): 1643–1661. https://doi.org/10.1193/022512EQS053M.
Tennant, A. G., C. D. Foster, and B. V. V. Reddy. 2013. “Verification of masonry building code to flexural behavior of cement-stabilized soil block.” J. Mater. Civ. Eng. 25 (3): 303–307. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000566.
Wu, S. R., and L. Gu. 2012. Introduction to the explicit finite element method for nonlinear transient dynamics. Hoboken, NJ: Wiley.
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© 2023 American Society of Civil Engineers.
History
Received: Sep 27, 2022
Accepted: Feb 27, 2023
Published online: Apr 26, 2023
Published in print: Jul 1, 2023
Discussion open until: Sep 26, 2023
ASCE Technical Topics:
- Building materials
- Construction (by type)
- Construction engineering
- Continuum mechanics
- Cracking
- Elasticity and Inelasticity
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Finite element method
- Fracture mechanics
- Joints
- Masonry
- Material mechanics
- Material properties
- Materials engineering
- Mechanical properties
- Methodology (by type)
- Mortars
- Numerical methods
- Solid mechanics
- Structural behavior
- Structural engineering
- Structural members
- Structural systems
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