Technical Papers
Apr 2, 2024

Formulation, Implementation, and Validation of a 3D Damage-Plasticity Cohesive-Interface Model with Multiple Yield Surfaces for Cyclic Modeling of Mortar Joints

Publication: Journal of Structural Engineering
Volume 150, Issue 6

Abstract

The mechanical behavior of mortar joints can be described by means of the cohesive interface element in the mesoscale modeling of masonry structures. In this paper, a novel three-dimensional (3D) constitutive model for the cohesive interface element under cyclic loading is presented. The proposed constitutive model is formulated in the damage-plasticity theoretical framework with the following unique features: (1) two smooth hyperbolic yield surfaces, capable of capturing various failure modes of mortar joints; (2) two damage scalars Dt and Dc to characterize the stiffness degradation; (3) two damage functions ξt(Dt) and ξc(Dc) to describe the strength softening; and (4) an unassociated flow rule to capture the dilatancy behavior. The proposed constitutive model is implemented in the general-purpose finite-element package Abaqus using the user subroutine UMAT. The developed model was validated at the masonry-component level using a mortar-jointed specimen under indirect cyclic tensile loading and three masonry couplets under compressive-shear loading, and then at the structural level using two unreinforced masonry walls characterized by two distinct failure modes. The validation results show that the developed constitutive model is capable of modeling mortar joints and masonry structures with good performance.

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Data Availability Statement

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 the financial support provided by the Natural Sciences and Engineering Research Council (NSERC) in Canada through a Collaborative Research and Development (CRD) Grant (CRDPJ 528050-18).

References

Andreotti, G., F. Graziotti, and G. Magenes. 2019. “Expansion of mortar joints in direct shear tests of masonry samples: Implications on shear strength and experimental characterization of dilatancy.” Mater. Struct. 52 (4): 1–16. https://doi.org/10.1617/s11527-019-1366-5.
Anthoine, A., G. Magonette, and G. Magenes. 1995. “Shear-compression testing and analysis of brick masonry walls.” In Proc., 10th European Conf. on Earthquake Engineering, 1657–1662. Vienna, Austria: Central lnstitute for Meteorology and Geodynamics.
Aref, A. J., and K. M. Dolatshahi. 2013. “A three-dimensional cyclic meso-scale numerical procedure for simulation of unreinforced masonry structures.” Comput. Struct. 120 (Apr): 9–23. https://doi.org/10.1016/j.compstruc.2013.01.012.
Atkinson, R. H., B. P. Amadei, S. Saeb, and S. Sture. 1989. “Response of masonry bed joints in direct shear.” J. Struct. Eng. 115 (9): 2276–2296. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:9(2276).
Carol, I., P. C. Prat, and C. M. López. 1997. “Normal/shear cracking model: Application to discrete crack analysis.” J. Eng. Mech. 123 (8): 765–773. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:8(765).
D’Altri, A. M., F. Messali, J. Rots, G. Castellazzi, and S. de Miranda. 2019. “A damaging block-based model for the analysis of the cyclic behaviour of full-scale masonry structures.” Eng. Fract. Mech. 209 (Mar): 423–448. https://doi.org/10.1016/j.engfracmech.2018.11.046.
Feng, D.-C., X.-D. Ren, and J. Li. 2018. “Softened damage-plasticity model for analysis of cracked reinforced concrete structures.” J. Struct. Eng. 144 (6): 1–15. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002015.
Gambarotta, L., and S. Lagomarsino. 1997. “Damage models for the seismic response of brick masonry shear walls. Part I: The mortar joint model and its applications.” Earthquake Eng. Struct. Dyn. 26 (4): 423–439. https://doi.org/10.1002/(SICI)1096-9845(199704)26:4%3C423::AID-EQE650%3E3.0.CO;2-%23.
Gatta, C., D. Addessi, and F. Vestroni. 2018. “Static and dynamic nonlinear response of masonry walls.” Int. J. Solids Struct. 155 (Mar): 291–303. https://doi.org/10.1016/j.ijsolstr.2018.07.028.
Gopalaratnam, V. S., and S. P. Shah. 1985. “Softening response of plain concrete in direct tension.” J. Am. Concr. Inst. 82 (3): 310–323. https://doi.org/10.14359/10338.
Jafari, S., J. G. Rots, and R. Esposito. 2020. “Core testing method to assess nonlinear shear-sliding behaviour of brick-mortar interfaces: A comparative experimental study.” Constr. Build. Mater. 244 (Mar): 118236. https://doi.org/10.1016/j.conbuildmat.2020.118236.
Jefferson, A. D., and N. R. Mills. 1998. “Fracture and shear properties of concrete construction joints from core samples.” Mater. Struct. Constr. 31 (9): 595–601. https://doi.org/10.1007/BF02480609.
Jiang, L., M. A. Orabi, J. Jiang, and A. Usmani. 2021. “Modelling concrete slabs subjected to fires using nonlinear layered shell elements and concrete damage-plasticity material.” Eng. Struct. 234 (Jan): 111977. https://doi.org/10.1016/j.engstruct.2021.111977.
Kenawy, M., S. Kunnath, S. Kolwankar, and A. Kanvinde. 2020. “Concrete uniaxial nonlocal damage-plasticity model for simulating post-peak response of reinforced concrete beam-columns under cyclic loading.” J. Struct. Eng. 146 (5): 1–21. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002592.
Koutromanos, I., and P. B. Shing. 2012. “Cohesive crack model to simulate cyclic response of concrete and masonry structures.” ACI Struct. J. 109 (3): 349–358. https://doi.org/10.14359/51683748.
Kumar, N., A. Rajagopal, and M. Pandey. 2014. “Plasticity based approach for failure modelling of unreinforced masonry.” Eng. Struct. 80 (Dec): 40–52. https://doi.org/10.1016/j.engstruct.2014.08.021.
Le, L. A., G. D. Nguyen, H. H. Bui, A. H. Sheikh, and A. Kotousov. 2018. “Localised failure mechanism as the basis for constitutive modelling of geomaterials.” Int. J. Eng. Sci. 133 (Dec): 284–310. https://doi.org/10.1016/j.ijengsci.2018.09.004.
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).
Li, Y., and B. Zeng. 2023. “Modeling of masonry structures using a new 3D cohesive interface material model considering dilatancy softening.” Eng. Struct. 277 (Dec): 115466. https://doi.org/10.1016/j.engstruct.2022.115466.
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).
Lourenco, P. B., and L. F. Ramos. 2004. “Characterization of cyclic behavior of dry masonry joints.” J. Struct. Eng. 130 (5): 779–786. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:5(779).
Lourenço, P. B. 1996. “Computational strategies for masonry structures.” Ph.D. thesis, Dept. of Civil Engineering, Delft Univ. Netherlands.
Lourenço, P. B., and J. G. Rots. 1997. “Multisurface interface model for analysis of masonry structures.” J. Eng. Mech. 123 (7): 660–668. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:7(660).
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.
Minga, E., L. Macorini, and B. A. Izzuddin. 2018. “A 3D mesoscale damage-plasticity approach for masonry structures under cyclic loading.” Meccanica 53 (7): 1591–1611. https://doi.org/10.1007/s11012-017-0793-z.
Nguyen, G. D. 2005. “A thermodynamic approach to constitutive modelling of concrete using damage mechanics and plasticity theory.” Ph.D. thesis, Trinity College, Univ. of Oxford.
Nie, Y., A. Sheikh, P. Visintin, and M. Griffith. 2022. “An interfacial damage-plastic model for the simulation of masonry structures under monotonic and cyclic loadings.” Eng. Fract. Mech. 271 (Jun): 108645. https://doi.org/10.1016/j.engfracmech.2022.108645.
Oliveira, D. V. 2003. “Experimental and numerical analysis of blocky masonry structures under cyclic loading.” Ph.D. thesis, Dept. of Civil Engineering, Universidade do Minho.
Oliveira, D. V., 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.
Peng, S., T. Parent, Z. M. Sbartaï, and S. Morel. 2022. “Experimental characterisation of masonry unit–mortar interface under uniaxial cyclic tension.” Eng. Fract. Mech. 274 (Mar): 1–12. https://doi.org/10.1016/j.engfracmech.2022.108790.
Rots, J. G. 1991. “Numerical simulation of cracking in structural masonry.” Heron 36 (2): 49–63.
Sacco, E., and F. Lebon. 2012. “A damage-friction interface model derived from micromechanical approach.” Int. J. Solids Struct. 49 (26): 3666–3680. https://doi.org/10.1016/j.ijsolstr.2012.07.028.
Salari, M. R., S. Saeb, K. J. Willam, S. J. Patchet, and R. C. Carrasco. 2004. “A coupled elastoplastic damage model for geomaterials.” Comput. Methods Appl. Mech. Eng. 193 (27–29): 2625–2643. https://doi.org/10.1016/j.cma.2003.11.013.
Salmanpour, A. H. 2017. “Displacement capacity of structural masonry.” Ph.D. thesis, Dept. of Civil, Environmental and Geomatic Engineering, ETH Zurich.
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.
Senanayake, S. M. C. U., A. Haque, and H. H. Bui. 2022. “An experiment-based cohesive-frictional constitutive model for cemented materials.” Comput. Geotech. 149 (Jun): 104862. https://doi.org/10.1016/j.compgeo.2022.104862.
Simo, J. C., and T. J. R. Hughes. 2006. Computational inelasticity. New York: Springer Science & Business Media.
Simo, J. C., J. G. Kennedy, and S. Govindjee. 1988. “Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms.” Int. J. Numer. Methods Eng. 26 (10): 2161–2185. https://doi.org/10.1002/nme.1620261003.
van der Pluijm, R. 1999. “Out-of-plane bending of masonry: Behaviour and strength.” Ph.D. thesis, Technische Universiteit Eindhoven. https://doi.org/10.6100/IR528212.
Zeng, B., Y. Li, and C. Cruz Noguez. 2021. “Modeling and parameter importance investigation for simulating in-plane and out-of-plane behaviors of un-reinforced masonry walls.” Eng. Struct. 248 (Aug): 113233. https://doi.org/10.1016/j.engstruct.2021.113233.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 6June 2024

History

Received: Mar 8, 2023
Accepted: Jan 10, 2024
Published online: Apr 2, 2024
Published in print: Jun 1, 2024
Discussion open until: Sep 2, 2024

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Authors

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Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 1H9. ORCID: https://orcid.org/0000-0001-8345-2085. Email: [email protected]
Yong Li, Ph.D., A.M.ASCE [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 1H9 (corresponding author). Email: [email protected]

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