Abstract
Under horizontal loadings, such as seismic actions, buckling phenomena can strongly affect the bearing capacity of masonry walls to gravity loads. Indeed, due to the low tensile strength of the mortar, when vertically loaded masonry members are subjected to bending moments induced by load eccentricity, out-of-plane collapse mechanisms often prevail on compressive vertical crushing.
This work presents a two-dimensional micromechanical approach relying on force-based beams and nonlinear interface elements for the out-of-plane stability analysis of regular brick/block masonry walls under eccentric vertical compressive loads. The elastic beams model the horizontal brick courses, while interfaces describe the bed mortar joints and reinforcing layer nonlinear behavior. A damage-plastic constitutive relationship is adopted for the mortar and a piece-wise linear damage-based law is proposed for the reinforcing layer. A corotational formulation is considered for both the beams and interface elements to account for large nodal displacements and P-Delta effects occurring during instability phenomena.
Hence, the response of eccentrically loaded masonry walls, both reinforced and unreinforced, is reproduced, comparing the numerical results with experimental data.
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References
Yokel, F.Y.: Stability and load capacity of members with no tensile strength. J. Struct. Div. ASCE 97(7), 1913–1926 (1971)
Tesfaye, E., Broome, T.H.: Effect of weight on stability of masonry walls. J. Struct. Div. ASCE 103(5), 961–970 (1977)
Mura, I.: Stability of nonlinear masonry members under combined load. Comput. Struct. 86, 15–16 (2008)
Lu, M., Schultz, A.E., Stolarski, H.K.: Application of the arc-length method for the stability analysis of solid unreinforced masonry walls under lateral loads. Eng. Struct. 27(6), 909–919 (2005)
Noor-E-Khuda, S., Dhanasekar, M., Thambiratnam, D.P.: An explicit finite element modelling method for masonry walls under out-of-plane loading. Eng. Struct. 113(4), 103–120 (2016)
Sandoval, C., Roca, P.: Study of the influence of different parameters on the buckling behaviour of masonry walls. Constr. Build. Mater. 35, 888–899 (2012)
Roca, P., Cervera, M., Gariup, G., Pelá, L.: Structural analysis of masonry historical constructions. Classical and advanced approaches. Arch. Comput. Methods Eng. 17, 299–325 (2010)
Addessi, D., Marfia, S., Sacco, E., Toti, J.: Modeling approaches for masonry structures. Open Civ. Eng. J. 8(1), 288–300 (2014)
Massart, T.J., Peerlings, R.H.J., Geers, M.G.D.: Structural damage analysis of masonry walls using computational homogenization. Int. J. Damage Mech. 16(2), 199–226 (2007)
Cecchi, A., Sab, K.: A homogenized Love-Kirchhoff model for out-of-plane loaded random 2D lattices: application to “quasi-periodic” brickwork panels. Int. J. Solids Struct. 46(14), 2907–2919 (2009)
De Bellis, M.L., Addessi, D.: A Cosserat based multi-scale model for masonry structures. Int. J. Multiscale Comput. Eng. 9(5), 543–563 (2011)
Petracca, M., Pelá, L., Rossi, R., Oller, S., Camata, G., Spacone, E.: Multiscale computational first order homogenization of thick shells for the analysis of out-of-plane loaded masonry walls. Comput. Methods Appl. Mech. Eng. 315, 273–301 (2017)
Addessi, D., Sacco, E., Di Re, P.: Multi-scale analysis of masonry structures. In: Proceedings of the International Masonry Society Conferences (IMC), Milan, Italy, vol. 208, pp. 307–323 (2018)
Addessi, D., Sacco, E., Paolone, A.: Cosserat model for periodic masonry deduced by nonlinear homogenization. Eur. J. Mech. A/Solids 29(4), 724–737 (2010)
De Souza, R.M.: Force-based finite element for large displacement inelastic analysis of frames. Ph.D. dissertation, University of California, Berkeley (2000)
De Borst, R., Crisfield, M.A., Remmers, J.J., Verhoosel, C.V.: Nonlinear Finite Element Analysis of Solids and Structures. Wiley, Hoboken (2012)
Bernat, E., Gil, L., Roca, P., Sandoval, C.: Experimental and numerical analysis of bending-buckling mixed failure of brickwork walls. Constr. Build. Mater. 43, 1–13 (2013)
Bernat, E., Gil, L., Roca, P., Escrig, C.: Experimental and analytical study of TRM strengthened brickwork walls under eccentric compressive loading. Constr. Build. Mater. 44, 35–47 (2013)
Bernat, E., Gil, L., Roca, P.: Numerical analysis of the load-bearing capacity of brick masonry walls strengthened with textile reinforced mortar and subjected to eccentric compressive loading. Eng. Struct. 91, 96–111 (2015)
Addessi, D., Di Re, P., Sacco, E.: A micro-macro homogenization for modeling the masonry out-of-plane response. In: XXIII AIMETA Congresso Associazione Italiana di Meccanica Teorica e Applicata, Salerno, Italy (2017)
Di Re, P., Addessi, D., Sacco, E.: A multiscale force-based curved beam element for masonry arches. Comput. Struct. 208, 17–31 (2018)
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Addessi, D., Di Re, P., Sacco, E. (2020). Corotational Beam-Interface Model for Stability Analysis of Reinforced Masonry Walls. In: Carcaterra, A., Paolone, A., Graziani, G. (eds) Proceedings of XXIV AIMETA Conference 2019. AIMETA 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-41057-5_156
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DOI: https://doi.org/10.1007/978-3-030-41057-5_156
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