Modeling the Progression of Deformation in a Flexible Pavement using the Boussinesq Model with Monte Carlo Simulation

International Journal of Civil Engineering |
© 2025 by SSRG - IJCE Journal |
Volume 12 Issue 5 |
Year of Publication : 2025 |
Authors : EL ABIDI Oumaima, EL MKHALET Mouna, LAMDOUAR Nouzha |
How to Cite?
EL ABIDI Oumaima, EL MKHALET Mouna, LAMDOUAR Nouzha, "Modeling the Progression of Deformation in a Flexible Pavement using the Boussinesq Model with Monte Carlo Simulation," SSRG International Journal of Civil Engineering, vol. 12, no. 5, pp. 23-41, 2025. Crossref, https://doi.org/10.14445/23488352/IJCE-V12I5P103
Abstract:
Road safety is a fundamental issue for developing countries, given its impact on the economic and social development of the country, thus ensuring the safety of users and goods. The goal of this approach is to create resilient pavement design and maintenance strategies that effectively tackle the challenges posed by fluctuating load conditions and temperature variations. This analysis is based on a case study of a road section subjected to mechanical loads that are modeled and studied in order to analyse the effectiveness of the current design of road pavements in relation to deformation resistance. On this, it is possible to create an effective design strategy in relation to the possible challenges. In this study, the Boussinesq model is selected to be studied as an example of an elastic model. It is carried out with the aim of initiating the establishment of a Moroccan Pavement Management System based on models predicting roadway performance. This System aims to ensure road safety and prevent issues such as rutting, cracking, and a shortened pavement lifespan. By modeling the stresses and deformations for each type of traffic using the Boussinesq model, the impact of cumulative loading and time variation turns out to be significant. A flexible pavement under TPL4 or TPL5 type traffic appears, according to the results of the present study, to have good homogeneity and performance characteristics in relation to loading, whereas a flexible pavement subjected to TPL6 type traffic, requires special attention, especially in relation to high temperatures. Indeed, a cumulative loading over ten years will lead to a deterioration of the road structure. Special attention should be paid to the hottest areas when designing for the temperature variation.
Keywords:
Boussinesq model, Monte carlo simulation, Flexible pavement deformation, Traffic load, Pavement management system, Roads.
References:
[1] Xiaobo Du et al., “Field Compaction Characteristics of Ultra-Thin Porous Friction Course Based on Laboratory Simulation,” Applied Sciences, vol. 14, no. 13, pp. 1-15, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Jue Li et al., ”New Trends in Long-Life Road Infrastructures: Materials and Structures,” Applied Sciences, vol. 14, no. 17, pp. 1-6, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Angel Mateos et al., “Application of the Logit Model for the Analysis of Asphalt Fatigue Tests Results,” Construction and Building Materials, vol. 82, pp. 53‑60, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[4] He Wang et al., “Development of Two-dimensional Micromechanical, Viscoelastic, and Heterogeneous-based Models for the Study of Block Cracking in Asphalt Pavements,” Construction and Building Materials, vol. 244, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Marwan Sadek, Isam Shahrour, “Use of the Boussinesq Solution in Geotechnical and Road Engineering: Influence of Plasticity,” Mechanical Reports, vol. 335, no. 9‑10, pp. 516‑520, 2007.
[CrossRef] [Google Scholar] [Publisher Link]
[6] João B. Cardoso et al., “Structural Reliability Analysis using Monte Carlo Simulation and Neural Networks,” Advances in Engineering Software, vol. 39, no. 6, pp. 505‑513, 2008.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Thomas A. Cruse, Reliability-based Mechanical Design (Mechanical Engineering (Marcell Dekker)), Taylor & Francis, pp. 1-341, 1997.
[Google Scholar] [Publisher Link]
[8] Samik Raychaudhuri, “Introduction to Monte Carlo Simulation,” 2008 Winter Simulation Conference, Miami, FL, USA, pp. 91-100, 2008.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Young Hoon Kwak, and Lisa Ingall, “Exploring Monte Carlo Simulation Applications for Project Management,” IEEE Engineering Management Review, vol. 37, no. 2, pp. 83‑83, 2009.
[CrossRef] [Google Scholar] [Publisher Link]
[10] M.K. Sharma, “Monte Carlo Simulation Applications for Construction Project Management,” International Journal of Civil Engineering and Technology (IJCIET), vol. 11, no. 2, pp. 88-100, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Mark G. Stewart, and David V. Rosowsky, “Time-dependent Reliability of Deteriorating Reinforced Concrete Bridge Decks,” Structural Safety, vol. 20, no. 1, pp. 91‑109, 1998.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Joseph Boussinesq, Application of Potentials to the Study of Equilibrium and Motion of Elastic Solids Mainly to the Calculation of the Deformations and Pressures Produced in these Solids by any Forces Exerted on a Small Part of their Surface or their Interior: Dissertation followed by Extensive Notes on Various Points of Physics, Mathematics and Analysis, Gauthier-Villars, pp. 1-721, 1885.
[Google Scholar] [Publisher Link]
[13] D. Dutykh and H. Kalisch, “Boussinesq Modeling of Surface Waves Due to Underwater Landslides,” Nonlinear Processes in Geophysics, vol. 20, no. 3, pp. 267‑285, 2013.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Patrick Gomi, Philippe Sergent, and Khouane Meftah, “Linear and Nonlinear Behavior of an Extended Boussinesq Model,” European Journal of Civil Engineering, vol. 9, no. 7-8, pp. 941‑961, 2005.
[CrossRef] [Google Scholar] [Publisher Link]
[15] Didier Bodin, “Fatigue Damage Model: Application to Bituminous Coatings,” Nantes, Thesis, pp. 1-187, 2002.
[Google Scholar] [Publisher Link]
[16] Daniel Perraton et al., “Fatigue Resistance Assessment of Bituminous Mixes based on the Evolution of Material Damage during Testing: Fundamental Aspects and Application to Stone Matrix Mix,” Canadian Journal of Civil Engineering, vol. 30, no. 5, pp. 902‑913, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Safaa Kasraoui, Census Puts Morocco’s Population at 36.8 Million, Citizens Question Slow Growth Rate, Morocco world News 2024. [Online]. Available: https://www.moroccoworldnews.com/2024/11/12742/census-puts-moroccos-population-at-36-8-million-citizens-question-slow-growth-rate/
[18] Aime Sylvain Tangou Tchetgna, “Study of the Evolution of the Elastic Modulus of Asphalt Mixes as a Function of Temperature based on Deflection Measurements,” Master Thesis, International Institute for Water and Environmental Engineering, pp. 1-68, 2011.
[Publisher Link]