Reinforced concrete retaining walls located near road infrastructure are subjected to dynamic stresses caused by passing vehicles, generating inertial forces that affect the stresses, displacements, and stability of the structure. In Dschang, where these structures are widely used on uneven terrain, these dynamic loads—which are often more demanding than conventional static assumptions—call traditional design methods into question. Numerical modeling using the finite element method makes it possible to analyze their actual influence on the behavior of these structures. This study aims to evaluate, through finite element numerical modeling, the influence of vibrations induced by road traffic on the dynamic behavior of reinforced concrete retaining walls in the city of Dschang (Cameroon). The goal is to analyze the effects of moving loads on the stresses, deformations, displacements, and overall stability of these structures, in order to highlight the limitations of purely static approaches and emphasize the need to incorporate dynamic loads into their design. The methodology adopted is based on a numerical approach based on previous work carried out in Cameroon. It consists of developing a finite element method model using the SAP2000 software, in order to analyze the dynamic response of the reinforced concrete retaining wall subjected to road loads. This simulation makes it possible to assess the influence of traffic-induced vibrations on the stresses, deformations, displacements, and overall stability of the structure in the specific context of Dschang-Falaise. The results of the study highlight significant differences between the analyses under static loads and under traffic loads. The observed differences in maximum deformations are around 6.40%, 6.16%, and 0.89%, while those related to maximum stresses reach 4.60%, 4.22% and 4.01%. These variations reflect the significant influence of the dynamic effects induced by road traffic on the mechanical response of the reinforced concrete retaining wall. The results obtained highlight the need to integrate traffic loads in the design of reinforced concrete retaining walls, due to their significant influence on the structural response. Furthermore, the analysis of the spectral acceleration response shows a decreasing trend in road traffic-induced overload, indicating that the intensity of the dynamic effect decreases with increasing geometric parameters of the wall. Thus, the dimensions of the structure help to mitigate the impact of dynamic loads related to traffic.
References
[1]
Kumagai, H., Kono, T. and Aoki, M. (2023) Evaluation of the Behavior of Retaining Walls and Surrounding Ground by Finite Element Method Analysis. In: Lecture Notes in Civil Engineering, Springer, 330-337. https://doi.org/10.1007/978-3-031-12851-6_40
[2]
Shin, J.W. and Kim, D.S. (2004) Comparison of Displacement of the Braced Retaining Wall by Developed Elasto-Plastic Analysis. Journal of the Korean Society of Safety, 19, 112-118.
[3]
Sheth, A.K. and Raghavani, R. (2021) Comparison of Conventional Method with Finite Element Analysis Using Plaxis 2D for Cantilever and Anchored Sheet Pile Walls. In: Lecture Notes in Civil Engineering, Springer, 577-583. https://doi.org/10.1007/978-981-33-6466-0_53
[4]
Liu, Y., Yao, Z.Y., Shao, M.X., Liu, H.Z. and Zhao, Y.L. (2021) Mechanical Behavior of the Reinforced Retaining Wall under Vehicle Load. Mathematical Problems in Engineering, 2021, 1-15. https://doi.org/10.1155/2021/2197572
[5]
Geng, M. (2021) A Short Review on the Dynamic Characteristics of Geogrid-Reinforced Soil Retaining Walls under Cyclic Loading. Advances in Materials Science and Engineering, 2021, Article ID 5537912. https://doi.org/10.1155/2021/5537912
[6]
Liu, Z., Shi, K., Huang, T., et al. (2017) Field Test of Static and Dynamic Response of Reinforced Earth Retaining Wall under Vehicle Load. Hydrogeology and Engineering Geology, 44, 91-97.
[7]
Liu, Z., He, F., Huang, T.Q. and Jiang, M.D. (2019) Additional Earth Pressure of Retaining Wall Caused by Vehicle Load. Journal of Highway and Transportation Research and Development (English Edition), 13, 16-23. https://doi.org/10.1061/jhtrcq.0000663
[8]
Sahibbi, A., Hazarika, H. and Ishibashi, I. (2024) Effect of Surcharge Load on the Magnitude and Distribution of Lateral Earth Pressure against Rigid Retaining Wall. JapaneseSociety of Civil Engineering West Branch, Chuo-ku, 8 March 2025.
[9]
Rousseau, J. (2009) Numerical Modeling of the Dynamic Behavior of Structures under Severe Impact with a Discrete Element/Finite Element Coupling... Sciences de l’ingénieur [Physics]. Université Joseph-Fourier-Grenoble I.
[10]
Lestuzzi, P. and Smith, I.F.C. (2023) Structural Dynamics. Bases and Applications for Civil Engineering. 3rd Edition, Presses Polytechnique’s and Universitaires Romandes.
[11]
Chatzigogos, C.T., Pecker, A. and Salen?on, J. (2009) Macroelement Modeling of Shallow Foundations. Soil Dynamics and Earthquake Engineering, 29, 765-781. https://doi.org/10.1016/j.soildyn.2008.08.009
[12]
Drapie, S. (2016) Dynamique des Solides et des Structures. 5ieme édition, Département Mécanique et Procèdes d’Elaboration, Centre Science des Matériaux et des Structures & UMR CNRS 5146 et Ecole Nationale Supérieure des Mines de Saint-Etienne.
[13]
An, Y., Leo, C., Liyanapathirana, S. and Wong, H. (2018) Vehicular Impact Loading on the Barrier of a Retaining Wall System and Its Effect on the System Foundation. In: Proceedings of GeoShanghai 2018 International Conference: Transportation Geotechnics and Pavement Engineering, Springer, 199-206. https://doi.org/10.1007/978-981-13-0011-0_22
[14]
Lee, K., Lim, D. and Chung, M.K. (2017) Analysis of Lateral Earth Pressures on Retaining Wall from Traffic Load Distribution. Journal of theKorean GeosyntheticsSociety, 16, 43-55.
[15]
Sun, X., Liu, W., Zhai, H., Ding, D. and Guo, J. (2006) Vibration Effects of Metro Trains on Sensitive Instruments and the Study of the Mitigation Measures. Tunnelling and Underground Space Technology, 21, 299. https://doi.org/10.1016/j.tust.2005.12.156
[16]
Kim, J.S. and Barker, R.M. (2002) Effect of Live Load Surcharge on Retaining Walls and Abutments. Journal of Geotechnical and Geoenvironmental Engineering, 128, 803-813. https://doi.org/10.1061/(asce)1090-0241(2002)128:10(803)
[17]
Stacho, J. and Sulovska, M. (2022) Analysis of Static and Cyclic Traffic Loading of an Embankment Supported by a Geogrid Retaining Structure. Slovak Journal of Civil Engineering, 30, 1-8. https://doi.org/10.2478/sjce-2022-0015
[18]
Seo, S., Jin, H. and Chung, M. (2019) Assessment of Equivalent Heights of Soil for the Lateral Earth Pressure against Retaining Walls Due to Design Truck Load by 3D Numerical Analysis. Journal of the Korean Geosynthetics Society, 18, 75-85.
[19]
Wang, H., Wang, N., Yang, G. and Ma, J. (2022) Model Test and Numerical Simulation Research of Reinforced Soil Retaining Walls under Cyclic Loads. Sustainability, 14, Article 15643. https://doi.org/10.3390/su142315643
[20]
Qiu, H.Z., Kong, J.M. and Wang, R.C. (2016) Dynamic Active Earth Pressures of the Retaining Piles with Anchors under Vehicle Loads. Shock and Vibration, 2016, 1-8. https://doi.org/10.1155/2016/4023827
[21]
Kim, D., Jin, H., Seo, S., Park, J., et al. (2018) Assessment of Equivalent Heights of Soil for the Lateral Earth Pressure against Retaining Walls Due to Design Truck Load. Journal of the Korean Geosynthetics Society, 17, 119-128. https://doi.org/10.12814/jkgss.2018.17.4.119
[22]
Ahac, M., Ahac, S. and Laku?i?, S. (2021) Long-Term Sustainability Approach in Road Traffic Noise Wall Design. Sustainability, 13, Article 536. https://doi.org/10.3390/su13020536
[23]
Hajializadeh, D., Stewart, M.G., Enright, B. and O’Brien, E. (2015) Spatial Time-Dependent Reliability Analysis of Reinforced Concrete Slab Bridges Subject to Realistic Traffic Loading. Structure and Infrastructure Engineering, 12, 1137-1152. https://doi.org/10.1080/15732479.2015.1086385
[24]
Liu, Y., Yao, Z., Shao, M., Liu, H. and Zhao, Y. (2021) Mechanical Behavior of the Reinforced Retaining Wall under Vehicle Load. Mathematical Problems in Engineering, 2021, Article ID 2197572. https://doi.org/10.1155/2021/2197572
[25]
Khan, S.A., Karray, M. and Paultre, P. (2024) Seismic Behavior of Retaining Walls: A Critical Review of Analytical and Field Performance Studies. Geotechnics, 4, 54-77. https://doi.org/10.3390/geotechnics4010004
[26]
Zhang, Y.P., Gao, Y.T., Fang, Z.L., et al. (2003) Instability Analysis of Retaining Walls under Random Vehicle Loading Condition. Chinese Journal of Engineering, 25, 18-22. (In Chinese)
[27]
Pulatsu, B., Kim, S., Erdogmus, E. and Louren?o, P.B. (2020) Advanced Analysis of Masonry Retaining Walls Using Mixed Discrete-Continuum Approach. ICE Proceedings Geotechnical Engineering, 174, 302-314.
[28]
Feba, S.T. and Kuriakose, B. (2016) Nonlinear Finite Element Analysis of Unreinforced Masonry Walls. Applied Mechanics and Materials, 857, 142-147. https://doi.org/10.4028/www.scientific.net/amm.857.142
[29]
Rao, S.S. (2004) Engineering Optimization Theory and Practice. 4th Edition, New Age International Ltd.
[30]
Temgoua, E., Tsafack, H.N., Pfeifer, H.-R. and Njine, T. (2015) Levels of Major Elements and Trace Elements in Soil and Some Vegetables from the Town of Dschang, Cameroon. African Crop Science Journal, 23, 35-44.
[31]
Kamgne Kamwa, L.P. and Tsalefac, M. (2020) Processus d’intégration des migrants Mbororo à l’économie urbaine: Cas de Bafoussam et Dschang (Ouest-Cameroun). European Scientific Journal, 16, 155. https://doi.org/10.19044/esj.2020.v16n17p155
[32]
Houben, H., Rigassi, V. and Garnier, P.H. (1996) Compressed Earth Blocks: Production Equipment, CRATerre, Brussels, Belgium, 149 p.
[33]
AFNOR (1990) NF P 18-555 Aggregates. Measurement of Densities, Absorption Coefficient and Water Content of Fine Aggregates.
[34]
AFNOR (1994) NF P94-071-1 Soil Investigation and Testing. Direct Shear Test with Shearbox Apparatus. Part 1: Direct Shear.
[35]
Ndibi, E.D.D., Mbossi, E.F., Wokwenmendam, N.P., et al. (2021) Probabilistic Seismic Hazard Assessment for the Main Cities along the Continental Section of the Cameroon Volcanic Line. Arabian Journal of Geosciences, 14, Article No. 796.
[36]
AFNOR (2005) NF EN 1997-1 Eurocode 7: Geotechnical Design, Part 1: General Rules.
[37]
Guillard, Y. (2017) Transmission of Vibrations Caused by Road Traffic, Regional Civil Engineering Laboratories, Strasbourg; EDP Sciences.
[38]
Otomo, Y. and Maruyama, O. (2021) Influence of Repeated Load of Passing Vehicle on Failure of Precast L-Type Retaining Wall. Journal of Japan Society of Civil Engineers, Series C (Geosphere Engineering), 77, 248-257. https://doi.org/10.2208/jscejge.77.3_248