Technical Papers
Feb 20, 2019

New Constitutive Model for Interface Elements in Finite-Element Modeling of Masonry

Publication: Journal of Engineering Mechanics
Volume 145, Issue 5

Abstract

A new interface element constitutive model is proposed in this study for analyzing masonry using the simplified micromodeling (SMM) approach, in which mortar and two unit–mortar interfaces are lumped into a zero-thickness joint (modeled using an interface element) between expanded masonry units. The new model is capable of simulating tension cracking, shear slipping, and compression failure, and is defined by a convex composite failure surface consisting of a tension-shear and a compression cap failure criterion. It removes the singularity in the tension-shear region but not in the compression-shear region. In addition, the proposed model is based on the hypothesis of strain hardening. The robustness and computational cost of the proposed model were compared with different constitutive models (which are based on three, two, and one failure criteria) that have been widely used in the literature to describe masonry behavior through a series of one-element tests and through the comparison of finite-element (FE) response simulation of an unreinforced masonry shear wall. The FE response results indicate that the proposed constitutive model is more efficient than and at least as accurate as the other constitutive models for analyzing masonry using the SMM approach.

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Acknowledgments

Partial support for this research by the Louisiana Board of Regents through the Economic Development Assistantship Program and by the National Science Foundation through award CMMI #1537078 is gratefully acknowledged. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the sponsoring agencies.

References

Abbo, A., and S. Sloan. 1995. “A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion.” Comput. Struct. 54 (3): 427–441. https://doi.org/10.1016/0045-7949(94)00339-5.
Anand, S. C., and K. K. Yalamanchili. 1996. “Three-dimensional failure analysis of composite masonry walls.” J. Struct. Eng. 122 (9): 1031–1039. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:9(1031).
Andreaus, U. 1996. “Failure criteria for masonry panels under in-plane loading.” J. Struct. Eng. 122 (1): 37–46. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:1(37).
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: 9–23. https://doi.org/10.1016/j.compstruc.2013.01.012.
Atkinson, R., B. 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).
Bakeer, T. T. 2009. Collapse analysis of masonry structures under earthquake actions. Dresden, Germany: TU Dresden.
Bathe, K.-J. 2006. Finite element procedures. Watertown, MA: Klaus-Jurgen Bathe.
Caballero, A. 2005. “3D meso-mechanical numerical analysis of concrete fracture using interface elements.” Ph.D. dissertation, Dept. of Geotechnical Engineering and Geosciences, Polytechnic Univ. of Catalonia.
Caballero, A., K. Willam, and I. Carol. 2008. “Consistent tangent formulation for 3D interface modeling of cracking/fracture in quasi-brittle materials.” Comput. Methods Appl. Mech. Eng. 197 (33): 2804–2822. https://doi.org/10.1016/j.cma.2008.01.011.
Chaimoon, K., and M. M. Attard. 2007. “Modeling of unreinforced masonry walls under shear and compression.” Eng. Struct. 29 (9): 2056–2068. https://doi.org/10.1016/j.engstruct.2006.10.019.
Chisari, C., L. Macorini, C. Amadio, and B. A. Izzuddin. 2015. “An inverse analysis procedure for material parameter identification of mortar joints in unreinforced masonry.” Comput. Struct. 155: 97–105. https://doi.org/10.1016/j.compstruc.2015.02.008.
Chisari, C., L. Macorini, C. Amadio, and B. A. Izzuddin. 2018. “Identification of mesoscale model parameters for brick-masonry.” Int. J. Solids Struct. 146: 224–240. https://doi.org/10.1016/j.ijsolstr.2018.04.003.
Citto, C. 2008. “Two-dimensional interface model applied to masonry structures.” M.S. thesis, Dept. of Civil, Environmental and Architectural Engineering, Univ. of Colorado Boulder.
Cuellar-Azcarate, M. C. 2016. “Engineered earthen masonry structures for extreme wind loads.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of South Carolina.
da Porto, F., G. Guidi, E. Garbin, and C. Modena. 2010. “In-plane behavior of clay masonry walls: Experimental testing and finite-element modeling.” J. Struct. Eng. 136 (11): 1379–1392. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000236.
Dassault Systèmes. 2013. “Abaqus 6.13 documentation.” In Abaqus analysis user’s guide. Providence, RI: Dassault Systèmes.
De Borst, R., and P. H. Feenstra. 1990. “Studies in anisotropic plasticity with reference to the Hill criterion.” Int. J. Numer. Methods Eng. 29 (2): 315–336. https://doi.org/10.1002/nme.1620290208.
Dhanasekar, M., P. W. Kleeman, and A. W. Page. 1985. “Biaxial stress-strain relations for brick masonry.” J. Struct. Eng. 111 (5): 1085–1100. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:5(1085).
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.
Furukawa, A., R. Spence, Y. Ohta, and E. So. 2010. “Analytical study on vulnerability functions for casualty estimation in the collapse of adobe buildings induced by earthquake.” Bull. Earthquake Eng. 8 (2): 451–479. https://doi.org/10.1007/s10518-009-9156-z.
Fuschi, P., D. Perić, and D. Owen. 1992. “Studies on generalized midpoint integration in rate-independent plasticity with reference to plane stress J2-flow theory.” Comput. Struct. 43 (6): 1117–1133. https://doi.org/10.1016/0045-7949(92)90012-O.
Gambarotta, L., and S. Lagomarsino. 1997a. “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::AIDEQE650%3E.
Gambarotta, L., and S. Lagomarsino. 1997b. “Damage models for the seismic response of brick masonry shear walls. Part II: The continuum model and its applications.” Earthquake Eng. Struct. Dyn. 26 (4): 441–462. https://doi.org/10.1002/(SICI)1096-9845(199704)26:4%3C441::AID-EQE651%3E3.0.CO;2-0.
Giambanco, G., and L. Di Gati. 1997. “A cohesive interface model for the structural mechanics of block masonry.” Mech. Res. Commun. 5 (24): 503–512. https://doi.org/10.1016/S0093-6413(97)00055-4.
Giambanco, G., S. Rizzo, and R. Spallino. 2001. “Numerical analysis of masonry structures via interface models.” Comput. Methods Appl. Mech. Eng. 190 (49): 6493–6511. https://doi.org/10.1016/S0045-7825(01)00225-0.
Goodman, R. E., R. L. Taylor, and T. L. Brekke. 1968. “A model for the mechanics of jointed rocks.” J. Soil Mech. Found. Div. 94 (3): 637–660.
Greco, F., L. Leonetti, R. Luciano, and P. Trovalusci. 2017. “Multiscale failure analysis of periodic masonry structures with traditional and fiber-reinforced mortar joints.” Composites Part B 118: 75–95. https://doi.org/10.1016/j.compositesb.2017.03.004.
Khisamitov, I., and G. Meschke. 2018. “Variational approach to interface element modeling of brittle fracture propagation.” Comput. Methods Appl. Mech. Eng. 328: 452–476. https://doi.org/10.1016/j.cma.2017.08.031.
Kumar, N., A. Rajagopal, and M. Pandey. 2014a. “A rate independent cohesive zone model for modeling failure in quasi-brittle materials.” Mech. Adv. Mater. Struct. 22 (8): 681–696. https://doi.org/10.1080/15376494.2013.855852.
Kumar, N., A. Rajagopal, and M. Pandey. 2014b. “Plasticity based approach for failure modelling of unreinforced masonry.” Eng. Struct. 80: 40–52. https://doi.org/10.1016/j.engstruct.2014.08.021.
Lotfi, H. R., and P. B. Shing. 1991. “An appraisal of smeared crack models for masonry shear wall analysis.” Comput. Struct. 41 (3): 413–425. https://doi.org/10.1016/0045-7949(91)90134-8.
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 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).
Lourenço, P. B. 1994. Analysis of masonry structures with interface elements: Theory and applications. Delft, Netherlands: Delft Univ. of Technology.
Lourenço, P. B. 1996. “Computational strategies for masonry structures.” Ph.D. dissertation, Dept. of Civil Engineering, Delft Univ. of Technology.
Macorini, L., and B. 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.
Metcalf, M., J. Reid, and M. Cohen. 2011. Modern Fortran explained (numerical mathematics and scientific computation). New York: Oxford University Press.
Miccoli, L., A. Garofano, P. Fontana, and U. Müller. 2015. “Experimental testing and finite element modelling of earth block masonry.” Eng. Struct. 104: 80–94. https://doi.org/10.1016/j.engstruct.2015.09.020.
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.
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): 1451–1461. https://doi.org/10.1016/j.compstruc.2004.03.041.
Ottosen, N. S., and M. Ristinmaa. 2005. The mechanics of constitutive modeling. Amsterdam, Netherlands: Elsevier.
Page, A. W. 1978. “Finite element model for masonry.” J. Struct. Div. 104 (8): 1267–1285.
Page, A. W. 1983. “The strength of brick masonry under biaxial tension-compression.” Int. J. Masonry Constr. 3 (1): 26–31.
Pelà, L. 2009. “Continuum damage model for nonlinear analysis of masonry structures.” Ph.D. dissertation, Dept. of Strength of Materials and Structural Engineering, Polytechnic Univ. of Catalonia.
Pérez-Foguet, A., A. Rodríguez-Ferran, and A. Huerta. 2001. “Consistent tangent matrices for substepping schemes.” Comput. Methods Appl. Mech. Eng. 190 (35–36): 4627–4647. https://doi.org/10.1016/S0045-7825(00)00336-4.
Rots, J. G., and B. Picavet. 1997. Structural masonry: An experimental/numerical basis for practical design rules. Rotterdam, Netherlands: A.A. Balkema.
Schellekens, J. C. J. 1992. “Computational strategies for composite structures.” Ph.D. dissertation, Dept. of Civil Engineering and Geosciences, Delft Univ. of Technology.
Shing, P. B., and T. Manzouri. 2004. “Analysis of unreinforced masonry structures using elastic/viscoplastic models.” In Proc., Sísmica 2004-6°Congresso Nacional de Sismologia e Engenharia Sísmica Livro de Actas, 137–150. Guimaraes, Portugal: Universidade do Minho.
Simo, J. C., and T. J. Hughes. 2006. Computational inelasticity. New York: Springer.
Simo, J. C., and R. Taylor. 1986. “A return mapping algorithm for plane stress elastoplasticity.” Inte. J. Numer. Methods Eng. 22 (3): 649–670. https://doi.org/10.1002/nme.1620220310.
Spada, A., G. Giambanco, and P. Rizzo. 2009. “Damage and plasticity at the interfaces in composite materials and structures.” Comput. Methods Appl. Mech. Eng. 198 (49–52): 3884–3901. https://doi.org/10.1016/j.cma.2009.08.024.
Tang, H., F. Barthelat, and H. Espinosa. 2007. “An elasto-viscoplastic interface model for investigating the constitutive behavior of nacre.” J. Mech. Phys. Solids 55 (7): 1410–1438. https://doi.org/10.1016/j.jmps.2006.12.009.
Tarque, N. 2011. “Numerical modelling of the seismic behaviour of adobe buildings.” Ph.D. dissertation, Dept. of Civil Engineering and Architecture, Univ. of Pavia.
Van der Pluijm, R., H. Rutten, and M. Ceelen. 2000. “Shear behaviour of bed joints.” In Vol. 3 of Proc., 12th Int. Brick/Block Masonry Conf., IB2MaC, 1849–1862. Madrid, Spain: Construction and Architectonic Technology, Dept. of the Polytechnic, Univ. of Madrid.
Vermeltfoort, A. T., and T. Raijmakers. 1993a. Deformation controlled tests in masonry shear walls: Part 1. Eindhoven, Netherlands: Eindhoven Univ. of Technology.
Vermeltfoort, A. T., and T. Raijmakers. 1993b. Deformation controlled tests in masonry shear walls: Part 2. Eindhoven, Netherlands: Eindhoven Univ. of Technology.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 145Issue 5May 2019

History

Received: Apr 8, 2018
Accepted: Oct 3, 2018
Published online: Feb 20, 2019
Published in print: May 1, 2019
Discussion open until: Jul 20, 2019

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Ph.D. Scholar, Dept. of Civil and Environmental Engineering, Univ. of California, Davis, One Shields Ave., Ghausi Hall, Davis, CA 95616. ORCID: https://orcid.org/0000-0002-4045-300X. Email: [email protected]
Michele Barbato, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Davis, One Shields Ave., 3149 Ghausi Hall, Davis, CA 95616 (corresponding author). Email: [email protected]

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