Abstract
Reinforced Concrete (RC) structures behaviour depends strongly on the variability of materials properties. This variability can be considered at different scales as concrete is a heterogeneous material constituted of several phases including different shapes, sizes and types of aggregates. In addition, at the structural level, the properties of concrete are highly dependent on the pouring process and exposure conditions. Thus, in order to evaluate the mechanical behaviour of RC structures in a reliable manner, the consideration of the spatial variability is important. The objective of this work is to study the effect of this spatial variability on the failure behaviour of a RC wall subjected to shear loading. A constant vertical and uniformly distributed compressive load is applied on the upper part of the wall and the shear loading is imposed by a horizontal displacement. A numerical approach based on Monte-Carlo simulations and Fichant’s damage model is considered. Several simulations were thus carried out in 2D to study the effect of the correlation length and standard deviation of Young’s modulus (E) and tensile strength (ft) on the failure behaviour. The spatial variability of concrete properties was generated using the Circulant Embedding spatial discretization method. The results show that the coefficient of variation of the peak load and the corresponding displacement increase with the increase of the considered correlation length and standard deviation for E and ft. In addition, the spatial variability affects the damage fields and cracks openings and plays a major role in the localization of shear damage.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Wohlers, T.E., Bernier, L.L.: France Eds Setting Sail into the Age of Digital Local Government Trends and Best Practices Public Administration and Information Technology PAIT 21 Springer Boston, MA, pp. 71–94 (2016)
Gangnant A., Saliba J., La Borderie C., Morel S.: Modeling of the quasibrittle fracture of concrete at meso-scale: effect of classes of aggregates on global and local behavior Cem. Concr. Res. 89, 35–44 (2016)
Saliba, J.: Experimental and numerical analysis of crack evolution in concrete through acoustic emission technique and mesoscale modeling Eng. Fract. Mech. 167, 123–137 (2016)
Abdallah, W., Sbartaï, Z.M., Saliba, J., Elachachi, S.M., Hage Chehade, F., Sadek, M.: Assessment of the reliability of concrete evaluation by multi-physical inversion of NDT measurements – a probabilistic approach. Construct. Build. Materials 300, 124546 (2021)
Issaadi, N., Hamami, A.A., Belarbi, R., Ait-Mokhtar, A. Experimental assessment of the spatial variability of porosity, permeability and sorption isotherms in an ordinary building concrete Heat Mass Transf. 53(10), 3037–3048 (2017)
De Larrard, T., Benboudjema, F., Colliat, J.B., Torrenti, J.M.: Influence of the spatial variability of leaching kinetics parameters on the lifespan of a concrete structure Eur. J. Environ. Civ. Eng. 16(5), 606–624 (2012)
Nguyen, N.T., Sbartaï, Z.M., Lataste, J.F., Breysse, D., Bos, F.: Assessing the spatial variability of concrete structures using NDT techniques: laboratory tests and case study Constr. Build. Mater. 49, 240–250 (2013)
Bouhjiti, D.E.M., Blasone, M.C., Baroth, J., Dufour, F., Masson, B., Michel-Ponnelle, S.: Statistical modelling of cracking in large concrete structures under thermo-hydro-mechanical loads: application to nuclear containment buildings. Part 2: sensitivity analysis Nucl. Eng. Des. 334, 1–23 (2018)
De Larrard T., Colliat J.B., Benboudjema F., Torrenti J.M., Nahas G.: Effect of the Young modulus variability on the mechanical behaviour of a nuclear containment vessel Nucl. Eng. Des. 240, 4051–4060 (2010)
Mangalathua, S., Jangb, H., Hwangc, S.H., Jeonc, J.S.: Data-driven machine-learning-based seismic failure mode identification of reinforced concrete shear walls. Eng. Struct. 208, 110331 (2020)
Somboon, S., Lukkunaprasit, P., Wood, S.L.: Influence of diagonal web reinforcement on cyclic behavior of structural walls Eng. Struct. 29, 498–510 (2007)
Choi, C.A.: 2006 Improvement of earthquake-resistant performance of squat shear walls under reversed cyclic loads Key Eng. Mater. 324–325: 535–538 (2006)
Hidalgo, P.A., Ledezma, C., Jordan, R.M.: Seismic behavior of squat reinforced concrete shear walls Earthq. Spectra 18(2), 287–308 (2002)
Salonikios, T.N., Kappos, A.J., Tegos, I.A., Penelis, G.G.: Cyclic load behavior of low slenderness reinforced concrete walls: design basis and test results ACI Struct. J. 96(4), 649–660 (1999)
Paulay, T., Priestley, M.J.N., Synge, A.J.: Ductility in earthquake resisting squat shearwalls ACI J. Proc. 79(4) ,257–269 (1982)
Barda, F., Hanson, J.M., Corley, W.G.: Shear strength of low-rise walls with boundary elements ACI special publications, Reinforced Concrete in Seismic Zones 53(8), 149–202 (1977)
Abdallah, W., Saliba, J., Elachachi, S.M., Sbartaï, Z.M., Sadek, M., Hage Chehade, F.: Effet de la variabilité spatiale sur le comportement à la rupture d’un voile en béton. Acad. J. Civil Eng. 39(1), 51–54 (2021b)
Saliba J., Mezhoud D.: Monitoring of steel-concrete bond with the acoustic emission technique Theoret. Appl. Fract. Mech. 100 416–425 (2019)
Mezhoud D., Bouafia Y., Saad M., Saliba J.: Bond-slip law and short tie behavior without main cracks J. Adhes. Sci. Technol. 32(14), 1578–1598 (2018)
Marc, S., Panagiotis, K., Frédéric, C.: 2013. Modélisation de structures voiles en béton armé soumis à du cisaillement. 31èmes Rencontres Universitaires de Génie Civil (RUGC’13), mai 2013. ENS Cachan: France (2013)
Fichant, S., La Borderie, C., Pijaudier Cabot, G.: Isotropic and anisotropic description of damage in concrete structures Mech. Cohesive-frictional Mater. 4(4), 339–359 (1999)
Dang, H.X., Sudret, B., Berveiller, B.: Benchmark of random fields simulation methods and links with identification methods. In Faber M., Köhler J., & Nishijima K., (ed.). International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP11); Proc. 11th. Zurich: Switzerland (2011).
Vanmarcke, E.H.: Random fields: Analysis and synthesis. M.I.T Press 382 p. (1983)
Eliáš, J., Vořechovský, M.: Fracture in random heterogeneous media: I. Discrete mesoscale simulations of load capacity and active zone, Eng. Fract. Mech. 235 107160 (2020).
Matallah, M., La Borderie, C., Maurel, O.: A practical method to estimate crack openings in concrete structures Int. J. Numer. Anal. Meth. Geomech. 34(15) ,1615–1633 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Abdallah, W., Saliba, J., Elachachi, S.M., Sbartaï, Z.M., Sadek, M., Chehade, F.H. (2023). Effect of Spatial Variability on the Failure Behaviour of a Reinforced Concrete Shear Wall. In: Jędrzejewska, A., Kanavaris, F., Azenha, M., Benboudjema, F., Schlicke, D. (eds) International RILEM Conference on Synergising Expertise towards Sustainability and Robustness of Cement-based Materials and Concrete Structures. SynerCrete 2023. RILEM Bookseries, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-031-33211-1_72
Download citation
DOI: https://doi.org/10.1007/978-3-031-33211-1_72
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-33210-4
Online ISBN: 978-3-031-33211-1
eBook Packages: EngineeringEngineering (R0)