Application of a hysteresis model for the water retention curve in recycled aggregates concrete: experimental and numerical FE² approaches

Abstract

Water retention curves are used to describe the degree of water saturation in porous materials. These curves exhibit hysteresis, meaning that the relationship between water content and applied suction depends on the wetting and drying history of the material and environmental conditions. This study investigates the effect of hysteresis on the durability of concrete made from recycled concrete aggregates (RCA), demonstrating that the Van Genuchten model can be applied to such recycled materials. A chemo-hydraulic, multiscale finite element squared (FE²) model was developed and validated. This model represents chloride ingress within the unsaturated porous structure of concrete. The constitutive equations are formulated at the mortar scale based on experimentally measured intrinsic material properties. Through numerical homogenization, these properties are upscaled to simulate the macroscopic behavior of concrete made with 100% RCA. Hysteresis calibration properties were also obtained experimentally. Experimental validation confirms that the Van Genuchten model can be applied to recycled aggregate concrete. A sensitivity analysis of the hysteresis model parameters revealed that water content is significantly impacted. However, this influence is less pronounced when studying chloride ingress.

Keywords

Hysteresis / Durability / Finite element analysis / Multiscale modeling / Recycled aggregates / Transport properties

References

[1] CEMBUREAUEuropean Cement Association: Activity Report 2020, 2021Technical report

[2] Pacheco, J. N., de Brito, J., & Tornaghi, M. L. (2023). Use of recycled aggregates in concrete: opportunities of upscaling in Europe. JRC131294. Publications Office of the European Union, Luxembourg. https://doi.org/10.2760/144802

[3] UEPGEuropean Aggregates Association: Annual Review 2020–2021, 2021Technical report

[4] EUROSTAT (2023). ENV_WAS: European statistics on waste. Technical report.

[5] Debieb F, Courard L, Kenai S, Degeimbre R. Mechanical and durability properties of concrete using contaminated recycled aggregates. Cement & Concrete Composites, 2010, 32: 421-426

[6] Fanara A, Courard L, Collin F, Hubert J. Transfer properties in recycled aggregates concrete: Experimental and numerical approaches. Construction and Building Materials, 2022, 326 Article ID: 126778

[7] Rao A, Jha KN, Misra S. Use of aggregates from recycled construction and demolition waste in concrete. Resources, Conservation and Recycling, 2007, 50: 71-87

[8] Rangel CS, Amario M, Pepe M, Martinelli E, Toledo Filho RD. Influence of wetting and drying cycles on physical and mechanical behavior of recycled aggregate concrete. Materials, 2020, 13(24): Article ID: Article 5675

[9] Mangat PS, Molloy BT. Prediction of long term chloride concentration in concrete. Materials and Structures, 1994, 27: 338-346

[10] Patel, R. A., Janez, P., & Diederik, J. (2017). Multi-scale modeling strategies to improve durability models for service life predictions of concrete structures. In Schutter, G. D., Belie, N. D., Janssens, A., and Bossche, N. V. D., (Eds.), XIV DBMC - 14th International Conference on Durability of Building Materials and Components (pp. 309–310). Ghent University, Belgium. RILEM.

[11] Morga M, Marano GC. Chloride penetration in circular concrete columns. International Journal of Concrete Structures and Materials, 2015, 9(2): 173-183

[12] Balafas I, Burgoyne CJ. Environmental effects on cover cracking due to corrosion. Cement and Concrete Research, 2010, 40: 1429-1440

[13] Bear J, Verruijt AModeling Groundwater Flow and Pollution, 1987Springer

[14] Beckett CT, Augarde CE. Prediction of soil water retention properties using pore-size distribution and porosity. Canadian Geotechnical Journal, 2013, 50(4): 435-450

[15] Nuth M, Laloui L. Advances in modelling hysteretic water retention curve in deformable soils. Computers and Geotechnics, 2008, 35(6): 835-844

[16] Pap, M., Mahler, A., & Nehme, S. G. (2018). Measurement of water retention curve for different concrete mixtures. TC106 Conferences in Unsaturated Soils - 7th International Conference on Unsaturated Soils 2018, Hong Kong.

[17] Pham HQ, Fredlund DG, Barbour SL. A study of hysteresis models for soil-water characteristic curves. Canadian Geotechnical Journal, 2005, 42(6): 1548-1568

[18] Bowen RM. Incompressible porous media models by use of the theory of mixtures. International Journal of Engineering Science, 1980, 18: 1129-1148

[19] Concha FA. Solid-Liquid Separation in the Mining Industry, volume Fluid Mechanics and Its Applications (Book 105). Springer International Publishing Switzerland, 2014

[20] Pap M, Mahler A, Nehme SG. Analysis and finite element modelling of water flow in concrete. Periodica Polytechnica Civil Engineering, 2018

[21] Fredlund DG, Sheng D, Zhao J. Estimation of soil suction from the soil-water characteristic curve. Canadian Geotechnical Journal, 2011, 48: 186-198

[22] Capparelli G, Spolverino G. An empirical approach for modeling hysteresis behavior of pyroclastic soils. Hydrology, 2020, 7(1): Article ID: Article 14

[23] Likos WJ, Lu N, Godt JW. Hysteresis and uncertainty in soil water-retention curve parameters. Journal of Geotechnical and Geoenvironmental Engineering, 2014

[24] Abbasi F, Javaux M, Vanclooster M, Feyen J. Estimating hysteresis in the soil water retention curve from monolith experiments. Geoderma, 2012, 189–190: 480-490

[25] Simunek J, Kodesova R, Gribb MM, van Genuchten MT. Estimating hysteresis in the soil water retention function from cone permeameter experiments. Water Resources Research, 1999, 35(5): 1329-1345

[26] Kohgo Y. A hysteresis model of soil water retention curves based on bounding surface concept. Soils and Foundations, 2008, 48(5): 633-640

[27] Van Genuchten MT. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal, 1980, 44(892): Article ID: Article 898

[28] Jiménez, A. M. G., de Farias, M. M., Neto, M. P. C., & Calle, I. F. O. (2014). Water retention curve and particle breakage of aggregates recycled from demolition waste. Journal of Civil Engineering and Architecture, 8(9). https://doi.org/10.17265/1934-7359/2014.09.013

[29] Tong L-Y, Xiong QX, Ke X, Alderete NM, De Belie N, Liu Q-F. Advanced modelling of moisture transport process in unsaturated cementitious materials considering multi-modal pore size distributions. Cement and Concrete Research, 2025, 198 Article ID: Article 107973

[30] Hubert J, Zhao Z, Michel F, Courard L. Effect of crushing method on the properties of produced recycled concrete aggregates. Buildings, 2023, 13(9): Article ID: 2217

[31] Zhao Z, Xiao J, Damidot D, Rémond S, Bulteel D, Courard L. Quantification of the hardened cement paste content in fine recycled concrete aggregates by means of salicylic acid dissolution. Materials, 2022, 15(9): Article ID: 3384

[32] Schwartzentruber A, Catherine C. La méthode du mortier de béton équivalent (MBE) - Un nouvel outil d’aide à la formulation des bétons adjuvantés. Materials and Structures, 2000, 33(8): 475-482

[33] Fanara A, Courard L, Collin F. Numerical and experimental study of chloride ion transport in recycled aggregates concrete. Academic Journal of Civil Engineering, 2023, 40(2): 40-220222022

[34] International Organization for Standardization. (2019). Geotechnical Investigation and Testing – Laboratory Testing of Soil – Part 11: Determination of Permeability by Constant and Falling Head (ISO 17892-11: 2019). International Organization for Standardization.

[35] NBN (2015). Testing Hardened Concrete – Part 11: Determination of the Chloride Resistance of Concrete by Unidirectional Diffusion (NBN EN 12390-11). NBN.

[36] Kowalski SJThermomechanics of Drying Processes, 2003Springer

[37] Delage P, Howat M, Cui Y. The relationship between suction and swelling properties in a heavily compacted unsaturated clay. Engineering Geology, 1998, 50: 31-48

[38] Collin F, Li X, Radu J, Charlier R. Thermo-hydro-mechanical coupling in clay barriers. Engineering Geology, 2002, 64: 179-193

[39] Fanara A, Courard L, Collin F. Numerical FE² study of chloride ingress in unsaturated recycled aggregates concrete. Cement and Concrete Research, 2024, 186 Article ID: 107703

[40] Bertrand F, Buzzi O, Bésuelle P, Collin F. Hydro-mechanical modelling of multiphase flowin naturally fractured coalbed using a multiscale approach. Journal of Natural Gas Science and Engineering, 2020, 78 Article ID: Article 103303

[41] Marinelli F, van den Eijnden A, Sieffert Y, Chambon R, Collin F. Modeling of granular solids with computational homogenization: Comparison with Biot’s theory. Finite Elements in Analysis and Design, 2016, 119: 45-62

[42] Nilenius F, Larsson F, Lundgren K, Runesson K. FE2 method for coupled transient diffusion phenomena in concrete. Journal of Engineering Mechanics, 2014, 141(2): Article ID: Article Article Article 04014110

[43] Kouznetsova V, Brekelmans WAM, Baaijens FPT. An approach to micro-macro modeling of heterogeneous materials. Computational Mechanics, 2001, 27: 37-48

[44] Smit RJM, Brekelmans WAM, Meijer HEH. Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling. Computer Methods in Applied Mechanics and Engineering, 1998, 155: 181-192

[45] Ababneh A, Benboudjema F, Xi Y. Chloride penetration in nonsaturated concrete. Journal of Materials in Civil Engineering, 2003, 15(2): 183-191

[46] Biver, P. (1993). Phenomenal and Numerical Study on the Propagation of Misicible Pollutants in a Medium with Multiple Porosity [Unpublished doctoral dissertation]. University of Liège.

[47] Liu Q, Easterbrook D, Yand J, Li L. A three-phase, multi-component ionic transport model for simulation of chloride penetration in concrete. Engineering Structures, 2015, 86: 122-133

[48] Nagesh M, Bhattacharjee B. Modeling of chloride diffusion in concrete and determination of diffusion coefficients. ACI Materials Journal, 1998, 95(2): 113-120

[49] Wu L, Li W, Yu X. Time-dependent chloride penetration in concrete in marine environments. Construction and Building Materials, 2017, 152: 406-413

[50] Zhou A-N, Sheng D, Sloan SW, Gens A. Interpretation of unsaturated soil behaviour in the stress - Saturation space, I: Volume change and water retention behaviour. Computers and Geotechnics, 2012, 43: 178-187

[51] Limbachiya MC, Leelawat T, Dhir RK. Use of recycled concrete aggregate in high-strength concrete. Materials and Structures, 2000, 33(9): 574-580

[52] Pedro D, de Brito J, Evangelista L. Performance of concrete made with aggregates recycled from precasting industry waste: Influence of the crushing process. Materials and Structures, 2014, 48(12): 3965-3978

[53] Thomas C, Setien J, Polanco J, Alaejos P, Sanchez de Juan M. Durability of recycled aggregate concrete. Construction and Building Materials, 2013, 40: 1054-1065

[54] Zaharieva R, Buyle-Bodin F, Skoczylas F, Wirquin E. Assessment of the surface permeation properties of recycled aggregate concrete. Cement and Concrete Composites, 2003, 25(2): 223-232

[55] Gonzalez A, Etxeberria M. Experimental analysis of properties of high performance recycled aggregate concrete. Construction and Building Materials, 2014, 52: 227-235

[56] Russo N, Lollini F. Effect of carbonated recycled coarse aggregates on the mechanical and durability properties of concrete. Journal of Building Engineering, 2022, 51 Article ID: Article 104290

[57] Xuan D, Zhan B, Poon CS. Durability of recycled aggregate concrete prepared with carbonated recycled concrete aggregates. Cement and Concrete Composites, 2017, 84: 214-221

[58] Nilenius, F., Larsson, F., Lundgren, K., & Runesson, K. (2013). A 3D/2D Comparison between Heterogeneous Mesoscale Models of Concrete (pp. 249–259). Springer Netherlands. https://doi.org/10.1007/978-94-007-6878-9_18

Funding

Fonds pour la Formation à la Recherche dans l’Industrie et dans l’Agriculture(FC 38499)

RIGHTS & PERMISSIONS

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