Mechanical performance of asphalt pavement with orthotropic unbound granular sub-base under vehicle load
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School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, China
Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University, Qinhuangdao, China
Hebei High Performance Building Material Technology Innovation Center, Qinhuangdao Municipal Building Materials Group Co. Ltd., Qinhuangdao, China
Submission date: 2023-03-24
Final revision date: 2023-07-17
Acceptance date: 2023-07-20
Online publication date: 2023-09-15
Publication date: 2023-10-30
Corresponding author
Yuanyuan Gao   

School of Civil Engineering and Mechanics, Yanshan University, China
Journal of Theoretical and Applied Mechanics 2023;61(4):715–728
The nonlinear mechanical response and orthotropy are the main properties of an unbound granular material as a sub-base in an asphalt pavement. To investigate the impact of stress and orthotropy characteristics simultaneously in an unbound granular sub-base, a constitu- tive relation and a finite model were proposed. The distribution of the sub-base resilience modulus and dynamic response of the pavement under vehicle loads were calculated. The results show an increase in the resilience modulus with a decrease in the orthotropic co- efficient. Stress and orthotropy affect the stress distribution near the pavement layer, and vehicle velocity significantly impacts the vertical displacement.
Abdelrahman A.A., Esen I., Özarpa C., Eltaher M.A., 2021, Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory, Applied Mathematical Modelling, 96, 215-235.
Al-Qadi I., Wang H., Tutumluer E., 2015, Dynamic analysis of thin asphalt pavements by using cross-anisotropic stress-dependent properties for granular layer, Transportation Research Record: Journal of the Transportation Research Board, 2154, 156-163.
Assogba O.C., Tan Y., Sun Z., Lushinga N., Bin Z., 2021, Effect of vehicle speed and overload on dynamic response of semi-rigid base asphalt pavement, Road Materials and Pavement Design, 22, 3, 572-602.
Aswegen E., Steyn W., Theyse H., 2015, Development of a saturation and stress-dependent chord modulus model for unbound granular material, Journal of the South African Institution of Civil Engineering, 57, 2, 8-21.
Attia M. A., Melaibari A., Shanab R. A., Eltaher M. A., 2022, Dynamic analysis of sigmoid bidirectional FG microbeams under moving load and thermal load: Analytical Laplace solution, Mathematics, 10, 24, 4797.
Bilodeau J.P., Plamondon C.O., Doré G., 2016, Estimation of resilient modulus of unbound granular materials used as pavement base: combined effect of grain-size distribution and aggregate source frictional properties, Materials and Structures, 49, 4363–4373.
Cortes D.D., Shin H., Santamarina J.C., 2012, Numerical simulation of inverted pavement systems, Journal of Transportation Engineering, 138, 12, 1507-1519.
Esen I., Eltaher M.A., Abdelrahman A.A., 2023, Vibration response of symmetric and sigmoid functionally graded beam rested on elastic foundation under moving point mass, Mechanics Based Design of Structures and Machines, 51, 5, 2607-2631.
González A., Saleh M., Ali A., 2007, Evaluating nonlinear elastic models for unbound granular materials in accelerated testing facility, Transportation Research Record: Journal of the Transportation Research Board, 1990, 1, 141-149.
Gupta A., Kumar P., Rastogi R., 2015, Critical pavement response analysis of low-volume pavements considering nonlinear behavior of materials, Transportation Research Record: Journal of the Transportation Research Board, 2474, 1, 3-11.
Karamanli A., Eltaher M.A., Thai S., Vo T.P., 2023. Transient dynamics of 2D-FG porous microplates under moving loads using higher order finite element model, Engineering Structures, 278, 115566.
Lackner R., Blab R., Eberhardsteiner J., Mang H.A., 2006, Characterization and multiscale modeling of asphalt-recent developments in upscaling of viscous and strength properties, III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering, Springer, Netherlands.
Li N., Ma B., Wang H., Sun W., 2020, Development of elasto-plastic constitutive model for unbound granular materials under repeated loads, Transportation Geotechnics, 23, 100347.
Li S., Guo Z., 2016, Applicability and verification of unbound granular material elastic deformation constitutive model, Journal of Tongji University: Natural Science, 44, 8, 1227-1233.
Li S., Hao P., 2020, Stress dependent and redistribution behaviour of unbound granular material, International Journal of Pavement Engineering, 21, 3, 347-356.
Rao S.S., 2018, The Finite Element Method in Engineering, 6th Ed., Elsevier.
Sahoo U.C., Reddy K.S., 2010, Effect of nonlinearity in granular layer on critical pavement responses of low volume roads, International Journal of Pavement Research and Technology, 3, 6, 320-325.
Sandjak K., Ouanani M., Tiliouine B., 2020, Experimental characterisation and numerical modelling of the resilient behaviour of unbound granular materials for roads, Journal of Building Materials and Structures, 7, 2, 159-177.
Seed H.B., Mitry F.G., Monismith C.L., Chan C.K., 1967, Prediction of flexible pavement deflections from laboratory repeated-load tests, NCHRP report.
Specht L.P., Babadopulos L.F.D.A.L., Di Benedetto H., Sauzéat C., Soares J.B., 2017, Application of the theory of viscoelasticity to evaluate the resilient modulus test in asphalt mixes, Construction and Building Materials, 149, 15, 648-658.
Ullah S., Jamal A., Almoshaogeh M., Alharbi F., Hussain J., 2022, Investigation of resilience characteristics of unbound granular materials for sustainable pavements, Sustainability, 14, 6874.
Wang M., Yu Q., Xiao Y., Li W., 2022, Resilient modulus behavior and prediction models of unbound permeable aggregate base materials derived from tunneling rock wastes, Materials, 15, 6005.
Wu C., Wang H., Zhao J., Jiang X., Yanjun Q., Yusupov B., 2020, Prediction of viscoelastic pavement responses under moving load and nonuniform tire contact stresses using 2.5-D finite element method, Mathematical Problems in Engineering, 1029089.
Yan M., Wang J., 2016, Application of ABAQUS Finite Element software in Pavement Structure Analysis, Zhejiang University Press.