Pavement Mechanics Calculation Based on the Analytical Solution of Layered Viscoelastic System under Horizontal and Vertical Loads
Publication: Journal of Engineering Mechanics
Volume 148, Issue 10
Abstract
Most countries adopt the mechanical theory of a layered elastic system under vertical load as the design method for asphalt pavement. This calculation theory does not consider the influence of the horizontal force of the vehicle load, and it is also unable to calculate the creep, relaxation, and other behaviors of the pavement material under repeated loads. To overcome these limitations, this research derived the analytical solution of the layered viscoelastic system under horizontal and vertical loads and developed a numerical calculation program for viscoelastic half-space and multilayer system. The accuracy, efficiency, and stability of the calculation program were tested to meet the requirements. The viscoelastic mechanical responses of the checkpoints in structural design under different horizontal load factors were calculated through the program. The results showed that the horizontal load significantly affects the distribution of stress and displacement of the pavement structure and the extent of the horizontal load impact varies in different positions. The horizontal load should be considered in pavement mechanics analysis and structural design.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is financially supported by the National Natural Science Foundation of China (No. 51878229) and the Transportation Science and Technology Project of Heilongjiang Province.
References
Ai, Z. Y., K. X. Hu, and P. C. Li. 2020a. “Fractional non-axisymmetric consolidation of stratified cross-anisotropic visco-poroelastic media.” Appl. Math. Modell. 87 (Nov): 372–388. https://doi.org/10.1016/j.apm.2020.06.008.
Ai, Z. Y., Z. Ye, and Y. Z. Zhao. 2020b. “Consolidation analysis for layered transversely isotropic viscoelastic media with compressible constituents due to tangential circular loads.” Comput. Geotech. 117 (Jan): 103257. https://doi.org/10.1016/j.compgeo.2019.103257.
ARA (Applied Research Associates). 2004. Guide for mechanistic-empirical design of new and rehabilitated pavement structures. Final Rep. NCHRP Project 1-37A. Washington, DC: National Cooperative Highway Research Program.
Asphalt Institute. 1991. Asphalt pavement thickness design for highways and streets (MS-1). Lexington, KY: Asphalt Institute.
Chabot, A., O. Chupin, L. Deloffre, and D. Duhamel. 2010. “ViscoRoute 2.0 A.” Road Mater. Pavement Des. 11 (2): 227–250. https://doi.org/10.1080/14680629.2010.9690274.
Chen, S., D. Wang, R. Du, and D. Feng. 2019. “Elastic multilayered pavement under an elliptical vertical load: Analytical solutions and program verification.” Road Mater. Pavement Des. 20 (2): 297–315. https://doi.org/10.1080/14680629.2017.1385513.
Chen, S., D. Wang, D. Feng, and D. Guo. 2020. “Fast and accurate method for calculating the surface mechanical responses of asphalt pavements.” J. Eng. Mech. 146 (9): 04020090. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001808.
Chupin, O., A. Chabot, J.-M. Piau, and D. Duhamel. 2010. “Influence of sliding interfaces on the response of a layered viscoelastic medium under a moving load.” Int. J. Solids Struct. 47 (25–26): 3435–3446. https://doi.org/10.1016/j.ijsolstr.2010.08.020.
Dong, Z., and X. Ma. 2018. “Analytical solutions of asphalt pavement responses under moving loads with arbitrary non-uniform tire contact pressure and irregular tire imprint.” Road Mater. Pavement Des. 19 (8): 1887–1903. https://doi.org/10.1080/14680629.2017.1354776.
Dong, Z., and F. Ni. 2014. “Dynamic model and criteria indices of semi-rigid base asphalt pavement.” Int. J. Pavement Eng. 15 (9): 854–866. https://doi.org/10.1080/10298436.2014.893322.
Guo, D., and D. Feng. 2001. The mechanics of multilayered elastic system. [In Chinese.] Harbin, China: Harbin Institute of Technology Press.
Guo, J., S. Yang, Y. Sun, Z. Chao, R. Yang, and H. Cheng. 2021. “Analysis of shear stress and rutting performance of semirigid base asphalt pavement on steep longitudinal slope.” Adv. Civ. Eng. 2021 (Oct): 1–14. https://doi.org/10.1155/2021/4445653.
Hammoum, F., A. Chabot, D. St-Laurent, H. Chollet, and B. Vulturescu. 2010. “Effects of accelerating and decelerating tramway loads on bituminous pavement.” Mater. Struct. 43 (9): 1257–1269. https://doi.org/10.1617/s11527-009-9577-9.
Kavinmathi, K., S. P. Atul Narayan, and S. C. Subramanian. 2021. “Impact of lateral load transfer in heavy road vehicles at horizontal curves on the distress of asphalt pavements.” Road Mater. Pavement Des. (Sep): 1–21. https://doi.org/10.1080/14680629.2021.1977683.
Kim, J. 2011. “General viscoelastic solutions for multilayered systems subjected to static and moving loads.” J. Mater. Civ. Eng. 23 (7): 1007–1016. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000270.
Lee, H. S. 2014. “Viscowave—A new solution for viscoelastic wave propagation of layered structures subjected to an impact load.” Int. J. Pavement Eng. 15 (6): 542–557. https://doi.org/10.1080/10298436.2013.782401.
Li, L., X. Huang, D. Han, M. Dong, and D. Zhu. 2015. “Investigation of rutting behavior of asphalt pavement in long and steep section of mountainous highway with overloading.” Constr. Build. Mater. 93 (Sep): 635–643. https://doi.org/10.1016/j.conbuildmat.2015.06.016.
Li, L., X. Huang, L. Wang, and C. Li. 2013. “Integrated experimental and numerical study on permanent deformation of asphalt pavement at intersections.” J. Mater. Civ. Eng. 25 (7): 907–912. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000745.
Maina, J. W., and K. Matsui. 2004. “Developing software for elastic analysis of pavement structure responses to vertical and horizontal surface loadings.” Transp. Res. Rec. 1896 (1): 107–118. https://doi.org/10.3141/1896-11.
Maina, J. W., Y. Ozawa, and K. Matsui. 2012. “Linear elastic analysis of pavement structure under non-circular loading.” Road Mater. Pavement Des. 13 (3): 403–421. https://doi.org/10.1080/14680629.2012.705419.
Manyo, E. Y., P. Reynaud, B. Picoux, R. Tautou, F. Allou, C. Petit, and D. Nélias. 2022. “Tire–pavement tractive rolling contact under turning conditions: Towards pavement top-down cracking.” Int. J. Pavement Eng. 23 (3): 841–850. https://doi.org/10.1080/10298436.2020.1775231.
Peattie, K. R. 1962. “A fundamental approach to the design of flexible pavements.” In Proc., Int. Conf. on the Structural Design of Asphalt Pavements. Ann Arbor, MI: Univ. of Michigan.
Petit, C., M. Diakhaté, A. Millien, A. Phelipot-Mardelé, and B. Pouteau. 2009. “Pavement design for curved road sections.” Road Mater. Pavement Des. 10 (3): 609–624. https://doi.org/10.1080/14680629.2009.9690216.
Renmin Communication Press. 2017. Specifications for design of highway asphalt pavement. [In Chinese.] JTG D50-2017. Beijing: Ministry of Transport of the People’s Republic of China.
Rith, M., Y. K. Kim, S. J. Hong, and S. W. Lee. 2017. “Effect of horizontal loading on RCC-base composite pavement performance at heavy duty area.” Constr. Build. Mater. 131 (Jan): 741–745. https://doi.org/10.1016/j.conbuildmat.2016.11.028.
Romanoschi, S. A., and J. B. Metcalf. 2001. “Effects of interface condition and horizontal wheel loads on the life of flexible pavement structures.” Transp. Res. Rec. 1778 (1): 123–131. https://doi.org/10.3141/1778-15.
Shell International Petroleum. 1978. “Shell pavement design manual.” In Asphalt pavements and overlays for road traffic. London: Shell International Petroleum.
Varma, S., and M. E. Kutay. 2016. “Viscoelastic nonlinear multilayered model for asphalt pavements.” J. Eng. Mech. 142 (7): 04016044. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001095.
Wang, D., J. R. Roesler, and D.-Z. Guo. 2011. “Innovative algorithm to solve axisymmetric displacement and stress fields in multilayered pavement systems.” J. Transp. Eng. 137 (4): 287–295. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000208.
Wang, H., and I. L. Al-Qadi. 2010. “Evaluation of surface-related pavement damage due to tire braking.” Road Mater. Pavement Des. 11 (1): 101–121. https://doi.org/10.1080/14680629.2010.9690262.
You, L., J. Man, K. Yan, D. Wang, and H. Li. 2020. “Combined Fourier-wavelet transforms for studying dynamic response of anisotropic multi-layered flexible pavement with linear-gradual interlayers.” Appl. Math. Modell. 81 (May): 559–581. https://doi.org/10.1016/j.apm.2020.01.031.
Zhao, Y., Y. Ni, L. Wang, and W. Zeng. 2014. “Viscoelastic response solutions of multilayered asphalt pavements.” J. Eng. Mech. 140 (10): 04014080. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000797.
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© 2022 American Society of Civil Engineers.
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Received: Feb 4, 2022
Accepted: May 15, 2022
Published online: Jul 29, 2022
Published in print: Oct 1, 2022
Discussion open until: Dec 29, 2022
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