NUMERICAL MODELING OF REINFORCED EARTH WALLS: INFLUENCE OF SOIL CONSTITUTIVE MODELS ON STRUCTURAL BEHAVIOR AND DISPLACEMENT

Authors

  • Cherif Guergah Department of civil Engineering, Mohamed-Cherif Messaadia University, Souk Ahras, Algeria
  • Adam Hamrouni Laboratory InfraRES/ Mohammed Cherif Messaadia University/ Souk-Ahras/ Algeria
  • Sarah Djouimaa Laboratory InfraRES/ Mohammed Cherif Messaadia University/ Souk-Ahras/ Algeria

DOI:

https://doi.org/10.30572/2018/KJE/170114

Keywords:

Reinforced Earth Wall, Numerical Modeling, Constitutive Models, Mohr-Coulomb Model, Cap-Yield Model, Nonlinear Analysis

Abstract

In geotechnical engineering, reinforced soil walls are preferred due to their economical advantage and versatility. Nonetheless, the determination of the structural response of reinforced soil walls under different loading states remains a challenge, especially concerning the selection of an adequate soil constitutive model. This paper describes the development of a two-dimensional computational model capable of examining the effect of soil constitutive models on the structural response of reinforced soil walls. This study utilized a precise simulation of the design process, combining the results with soil parameters obtained through experiments. Two soil constitutive models are considered: the Mohr-Coulomb (MC) model, which is a linear elastic-perfectly plastic model widely used in geotechnical engineering, and the Cap-Yield (CYsoil) soil constitutive model, which captures the soil nonlinearity and stress-dependent stiffness. Results reveal the significant effect of the soil constitutive models on the general response of the structure, including the soil displacement field. Specifically, the MC soil model, which simplifies the shear strength of the soil, overestimates the soil stiffness, predicting lower soil displacements. On the contrary, the CYsoil soil model, which captures the soil nonlinearity, stress-dependent stiffness, and plastic volumetric strains, provides predictions of larger soil displacements. The obtained results highlight the role of selecting a suitable soil model in designing reinforced earth structures. This work has shown that including non-linear soil behavior improves simulation accuracy in numerical modeling for geotechnical problems

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References

Abdelouhab, A., Dias, D. and Freitag, N., (2011). Numerical analysis of the behaviour of mechanically stabilized earth walls reinforced with different types of strips. Geotextiles and Geomembranes, 29(2), pp.116-129. doi:https://doi.org/10.1016/j.geotexmem.2010.10.011.

Abdelouhab, A., Dias, D. and Freitag, N., (2012a). Modélisation physique et analytique de renforcements extensibles–Développement d’une nouvelle armature. European journal of environmental and civil engineering, 16(10), pp.1115-1142. doi:https://doi.org/10.1080/19648189.2012.666904.

Abdelouhab, A., Dias, D. and Freitag, N., (2012b). Modélisation numérique bidimensionnelle de murs en Terre Armée. European journal of environmental and civil engineering, 16(10), pp.1143-1167. doi:https://doi.org/10.1080/19648189.2012.666908.

Abdulhasan, O., Mustafa, F. and Al-Zuhairi, A., (2020). Performance of skirted circular shallow footings resting on sandy soil under inclined loads. Kufa Journal of Engineering, 11(2), pp.10-27. doi:https://doi.org/10.30572/2018/KJE/110202.

Addenbrooke, T.I., Potts, D.M. and Puzrin, A.M. (1997). The influence of pre-failure soil stiffness on the numerical analysis of tunnel construction. Géotechnique, 47(3), pp.693–712. doi:https://doi.org/10.1680/geot.1997.47.3.693.

Allen, T.M. and Bathurst, R.J., (2015). Improved simplified method for prediction of loads in reinforced soil walls. Journal of Geotechnical and Geoenvironmental Engineering, 141(11), p.04015049. doi:https://doi.org/10.1061/(ASCE)GT.1943-5606.0001355.

Angel, M., Magna-Verdugo, C. and Abell, J.A. (2018). Influence of Soil-Structure-Interaction in Shear-wall RC Buildings Fragility Curves. [online] ResearchGate. Available at: https://www.researchgate.net/publication/326881587_Influence_of_Soil-Structure-Interaction_in_Shear-wall_RC_Buildings_Fragility_Curves.

BASTICK, M. (2025). L’apport de la méthode des éléments finis à l’étude du comportement des ouvrages en terre armée. [online] pp.257–263. Available at: http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=7338836.

Bathurst, R.J. and Naftchali, F.M., (2021). Geosynthetic reinforcement stiffness for analytical and numerical modelling of reinforced soil structures. Geotextiles and Geomembranes, 49(4), pp.921-940. doi:https://doi.org/10.1016/j.geotexmem.2021.01.003.

Bergado, D.T. and Teerawattanasuk, C., (2008). 2D and 3D numerical simulations of reinforced embankments on soft ground. Geotextiles and Geomembranes, 26(1), pp.39-55. doi:https://doi.org/10.1016/j.geotexmem.2007.03.003.

Bolton, M.D. and Lau, C.K., (1993). Vertical bearing capacity factors for circular and strip footings on Mohr–Coulomb soil. Canadian Geotechnical Journal, 30(6), pp.1024-1033. doi:https://doi.org/10.1139/t93-09.

Brahim Lafifi, Hamrouni, A., Tarek Khoualdia, Abderrahim Gheris and Ammar Rouaiguia (2024). Prediction and optimization of the bearing capacity of strip footing resting on soft soil improved with stone columns using RSM, ANN, and multi-objective GA. Innovative Infrastructure Solutions, 9(5). doi:https://doi.org/10.1007/s41062-024-01452-2.

Chang, J.C. and Forsyth, R.A., (1977). Finite element analysis of reinforced earth wall. Journal of the Geotechnical Engineering Division, 103(7), pp.711-724. doi:https://doi.org/10.1061/AJGEB6.00004.

Clough, G.W. and Duncan, J.M., (1971). Finite element analyses of retaining wall behavior. Journal of the Soil Mechanics and Foundations Division, 97(12), pp.1657-1673. doi:https://doi.org/10.1061/JSFEAQ.00017

Do, N.-A., Dias, D., Oreste, P. and Djeran-Maigre, I. (2013). Three-dimensional numerical simulation for mechanized tunnelling in soft ground: the influence of the joint pattern. Acta Geotechnica, 9(4), pp.673–694. doi:https://doi.org/10.1007/s11440-013-0279-7.

Fang, Y. and Ishibashi, I. (1986). Static Earth Pressures with Various Wall Movements. Journal of Geotechnical Engineering, 112(3), pp.317–333. doi:https://doi.org/10.1061/(asce)0733-9410(1986)112:3(317).

Fathipour, H., Safardoost Siahmazgi, A., Payan, M., Jamshidi Chenari, R. and Veiskarami, M. (2023). Evaluation of the Active and Passive Pseudo-dynamic Earth Pressures using Finite Element Limit Analysis and Second-order Cone Programming. Geotechnical and Geological Engineering, 41(3), pp.1921–1936. doi:https://doi.org/10.1007/s10706-023-02381-0.

Flavigny, E., Desrues, J. and Palayer, B. (1990). Note technique : le sable d’Hostun ‘RF’. Revue Française de Géotechnique, [online] (53), pp.67–70. doi:https://doi.org/10.1051/geotech/1990053067.

Gay, O., Boutonnier, L., Guerpillon, Y., Foray, P. and Flavigny, E. (2001). Modélisation physique et numérique de l’action d’un glissement lent sur des fondations d’ouvrages d’art. Revue Française de Géotechnique, (95-96), pp.75–86. doi:https://doi.org/10.1051/geotech/2001095075.

Hamrouni, A., Dias, D. and Guo, X. (2022). Behavior of Shallow Circular Tunnels—Impact of the Soil Spatial Variability. Geosciences, 12(2), p.97. doi:https://doi.org/10.3390/geosciences12020097.

Hatami, K. and Bathurst, R.J. (2006). Numerical Model for Reinforced Soil Segmental Walls under Surcharge Loading. Journal of Geotechnical and Geoenvironmental Engineering, 132(6), pp.673–684. doi:https://doi.org/10.1061/(asce)1090-0241(2006)132:6(673).

Helwany, S.M.B., Reardon, G. and Wu, J.T.H. (1999). Effects of backfill on the performance of GRS retaining walls. Geotextiles and Geomembranes, 17(1), pp.1–16. doi:https://doi.org/10.1016/s0266-1144(98)00021-1.

Ho, S.K. and Rowe, R.K. (1994). Predicted Behavior of Two Centrifugal Model Soil Walls. Journal of Geotechnical Engineering, 120(10), pp.1845–1873. doi:https://doi.org/10.1061/(asce)0733-9410(1994)120:10(1845).

Hu, J. and Li, X. (2024). A novel prediction model construction and result interpretation method for slope deformation of deep excavated expansive soil canals. Expert Systems with Applications, 236, p.121326. doi:https://doi.org/10.1016/j.eswa.2023.121326.

Itasca, I., 2011. FLAC (Fast Lagrangian Analysis of Continua) Version 7.0. Minneapolis, Minnesota: Itasca Consulting Group.

L. Hayal, A., M.B. Al-Gharrawi, A. and Y. Fattah, M. (2021). Effect of nanomaterials on shear strength of gypseous soil. Kufa Journal of Engineering, 12(1). doi:https://doi.org/10.30572/2018/kje/120101.

Lambrughi, A., Medina Rodríguez, L. and Castellanza, R. (2012). Development and validation of a 3D numerical model for TBM–EPB mechanised excavations. Computers and Geotechnics, 40, pp.97–113. doi:https://doi.org/10.1016/j.compgeo.2011.10.004.

Ling, H.I. and Liu, H. (2009). Deformation analysis of reinforced soil retaining walls—simplistic versus sophisticated finite element analyses. Acta Geotechnica, 4(3), pp.203–213. doi:https://doi.org/10.1007/s11440-009-0091-6.

Ling, H.I., Yang, S., Dov Leshchinsky, Liu, H. and Burke, C. (2010). Finite-Element Simulations of Full-Scale Modular-Block Reinforced Soil Retaining Walls under Earthquake Loading. Journal of Engineering Mechanics-asce, 136(5), pp.653–661. doi:https://doi.org/10.1061/(asce)em.1943-7889.0000108.

Liu, H. (2016). Nonlinear Elastic Analysis of Reinforcement Loads for Vertical Reinforced Soil Composites without Facing Restriction. Journal of Geotechnical and Geoenvironmental Engineering, 142(6), p.04016013. doi:https://doi.org/10.1061/(asce)gt.1943-5606.0001464.

Liu, H., Wang, X. and Song, E. (2011). Reinforcement load and deformation mode of geosynthetic-reinforced soil walls subject to seismic loading during service life. Geotextiles and Geomembranes, 29(1), pp.1–16. doi:https://doi.org/10.1016/j.geotexmem.2010.06.003.

Maji, V.B., Sowmiyaa, V.S. and Robinson, R.G. (2016). A Simple Analysis of Reinforced Soil Using Equivalent Approach. International Journal of Geosynthetics and Ground Engineering, 2(2). doi:https://doi.org/10.1007/s40891-016-0055-5.

Mašín, D. (2019). Modelling of Soil Behaviour with Hypoplasticity. Springer Series in Geomechanics and Geoengineering. Cham: Springer International Publishing. doi:https://doi.org/10.1007/978-3-030-03976-9.

Morsy, A.M. and Zornberg, J.G. (2021). Soil-reinforcement interaction: Stress regime evolution in geosynthetic-reinforced soils. Geotextiles and Geomembranes, 49(1), pp.323–342. doi:https://doi.org/10.1016/j.geotexmem.2020.08.007.

Pande, G.N. and S. Pietruszczak (2021). A critical look at constitutive models for soils. Routledge eBooks, pp.369–393. doi:https://doi.org/10.1201/9780203753583-19.

Pham, T.A. and Dias, D. (2021). 3D numerical study of the performance of geosynthetic-reinforced and pile-supported embankments. Soils and Foundations. doi:https://doi.org/10.1016/j.sandf.2021.07.002.

S. Yousif, A. and S. Mustafa, F. (2021). BEHAVIOR OF SALINE SOIL STABILIZED WITH POLYPROPYLENE FIBER AND CEMENT. Kufa Journal of Engineering, 12(1). doi:https://doi.org/10.30572/2018/kje/120103.

Salih, A.G., Ahmad and Salih, N.B. (2022). Finite Element Analysis of the Load-Settlement Behavior of Large-Scale Shallow Foundations on Fine-Grained Soil Utilizing Plaxis 3D. pp.249–260. doi:https://doi.org/10.1007/978-981-19-7358-1_22.

Schlosser, F. and Guilloux, A. (1981). Le frottement dans le renforcement des sols. Revue Française de Géotechnique, (16), pp.65–77. doi:https://doi.org/10.1051/geotech/1981016065.

Seyedi Hosseininia, E. (2015). A micromechanical study on the stress rotation in granular materials due to fabric evolution. Powder Technology, 283, pp.462–474. doi:https://doi.org/10.1016/j.powtec.2015.06.013.

Seyedi Hosseininia, E. and Ashjaee, A. (2018). Numerical simulation of two-tier geosynthetic-reinforced-soil walls using two-phase approach. Computers and Geotechnics, 100, pp.15–29. doi:https://doi.org/10.1016/j.compgeo.2018.04.003.

Skinner, G.D. and Kerry Rowe, R. (2005). Design and behaviour of a geosynthetic reinforced retaining wall and bridge abutment on a yielding foundation. Geotextiles and Geomembranes, 23(3), pp.234–260. doi:https://doi.org/10.1016/j.geotexmem.2004.10.001.

Vibhoosha, M.P., Anjana Bhasi and Nayak, S. (2021). A Review on the Design, Applications and Numerical Modeling of Geocell Reinforced Soil. Geotechnical and Geological Engineering, 39(6), pp.4035–4057. doi:https://doi.org/10.1007/s10706-021-01774-3.

Xie, M., Li, L., Cao, W., Zheng, J. and Dong, X. (2022). Centrifugal and numerical modeling of embankment widening over soft soils treated by pile-supported geosynthetic-reinforced soil wall. Acta Geotechnica, 18(2), pp.829–841. doi:https://doi.org/10.1007/s11440-022-01611-8.

Yang, X., Han, J., Parsons, R.L. and Dov Leshchinsky (2010). Three-dimensional numerical modeling of single geocell-reinforced sand. Frontiers of Architecture and Civil Engineering in China, 4(2), pp.233–240. doi:https://doi.org/10.1007/s11709-010-0020-7.

Yu, Y., Bathurst, R.J. and Miyata, Y. (2015). Numerical analysis of a mechanically stabilized earth wall reinforced with steel strips. Soils and Foundations, 55(3), pp.536–547. doi:https://doi.org/10.1016/j.sandf.2015.04.006.

Zhang, F., Zhu, Y., Chen, Y. and Yang, S. (2021). Seismic effects on reinforcement load and lateral deformation of geosynthetic-reinforced soil walls. Frontiers of Structural and Civil Engineering, 15(4), pp.1001–1015. doi:https://doi.org/10.1007/s11709-021-0734-8.

Zhang, J., Jenck, O. and Dias, D. (2022). 3D Numerical Analysis of a Single Footing on Soft Soil Reinforced by Rigid Inclusions. International Journal of Geomechanics, 22(8). doi:https://doi.org/10.1061/(asce)gm.1943-5622.0002412.

Zienkiewicz, O.C., Humpheson, C. and Lewis, R.W. (1975). Associated and non-associated visco-plasticity and plasticity in soil mechanics. Géotechnique, 25(4), pp.671–689. doi:https://doi.org/10.1680/geot.1975.25.4.671.

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Published

2026-02-07

How to Cite

Guergah, Cherif, et al. “NUMERICAL MODELING OF REINFORCED EARTH WALLS: INFLUENCE OF SOIL CONSTITUTIVE MODELS ON STRUCTURAL BEHAVIOR AND DISPLACEMENT”. Kufa Journal of Engineering, vol. 17, no. 1, Feb. 2026, pp. 249-71, https://doi.org/10.30572/2018/KJE/170114.

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