Technical Papers
Sep 22, 2023

Numerical Modeling of Pile-Supported Low Embankments under Cyclic Traffic Loading Considering the Effect of Pavement Crack

Publication: International Journal of Geomechanics
Volume 23, Issue 12

Abstract

Extensive research has been carried out to understand the behavior of pile-supported embankments; however, pavement crack, which could appear early on the pavement of low embankments during the service life, has not yet been incorporated in previous numerical models. This study aims to investigate the effect of pavement crack on the response of pile-supported low embankments under cyclic traffic loading. A finite-element model for pile-supported low embankments that considers the pavement crack was developed, and a cyclic traffic loading was simulated using a half-sinusoidal function. The numerical model with a crack under cyclic loading was verified using an existing analytical solution. The effect of pavement crack, including crack type, horizontal distance, and depth, on the response of pile-supported low embankments under cyclic traffic loading were investigated. Results indicate that the vertical stress and settlement in pile-supported low embankments increase with consideration of the effect of pavement crack, which leads to a quicker degradation of the arching effect compared with a case with no crack. Results from a parametric study show that the settlement of soft soil decreases with increasing elastic modulus of the AC layer and wheel velocity and decreasing peak amplitude of cyclic loading.

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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

The financial support of the National Natural Science Foundation of China (Grant Nos. 52078236 and 51878313) is acknowledged.

Notation

The following symbols are used in this paper:
a
radius of the contact area between tire and pavement;
a0
width of pile caps;
ac
crack depth;
c0, h
specimen geometry in Fig. 4;
D
distance between the centers of the two tires;
DAC
thickness of the AC layer;
d
equivalent diameter of tire–pavement contact area;
d0
diameter of piles;
EAC
elastic modulus of AC layer;
FM
geometric function for a pure bending specimen with double-edge cracks;
K, KI, KII, KIII
SIF, SIF for mode I, II, and III, respectively;
Km
amplitude of SIF KI under cyclic loading;
M0
bending moment;
p(t)
cyclic traffic loading;
p0
peak amplitude of cyclic loading;
pst
standard single-axle dual tire load;
s
center-to-center spacing between piles;
v
wheel velocity;
xc
horizontal distance between the crack and cyclic loading center;
α, β
damping coefficient for mass matrix and stiffness matrix;
η
ratio of the crack depth to the thickness of the pavement layer; and
λd
damping ratio.

References

ABAQUS. 2012. Dassault systemes simulia corp. Providence, RI: SIMULIA.
Anderson, T. L. 2017. Fracture mechanics: Fundamentals and applications. Boca Raton, FL: CRC Press.
Aqoub, K., M. Mohamed, and T. Sheehan. 2020. “Analysis of unreinforced and reinforced shallow piled embankments under cyclic loading.” Geosynth. Int. 27 (2): 182–199. https://doi.org/10.1680/jgein.19.00010.
Assogba, O. C., Z. Sun, Y. Tan, L. Nonde, and Z. Bin. 2020. “Finite-element simulation of instrumented asphalt pavement response under moving vehicular load.” Int. J. Geomech. 20 (3): 04020006. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001616.
Briançon, L., and B. Simon. 2017. “Pile-supported embankment over soft soil for a high-speed line.” Geosynth. Int. 24 (3): 293–305.
Cebon, D. 1989. “Vehicle-generated road damage: A review.” Veh. Syst. Dyn. 18 (1–3): 107–150. https://doi.org/10.1080/00423118908968916.
Chai, J.-C., and N. Miura. 2002. “Traffic-load-induced permanent deformation of road on soft subsoil.” J. Geotech. Geoenviron. Eng. 128 (11): 907–916. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:11(907).
Chen, C., Z. Zhou, X. Zhang, and G. Xu. 2018. “Behavior of amorphous peaty soil under long-term cyclic loading.” Int. J. Geomech. 18 (9): 04018115. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001254.
Collop, A. C., and R. Roque. 2004. “Report on the prediction of surface-initiated longitudinal wheel path cracking in asphalt pavements.” Road Mater. Pavement Des. 5 (4): 409–434.
Cui, X., N. Zhang, J. Zhang, and Z. Gao. 2014. “In situ tests simulating traffic-load-induced settlement of alluvial silt subsoil.” Soil Dyn. Earthquake Eng. 58: 10–20. https://doi.org/10.1016/j.soildyn.2013.11.010.
Ding, H., Y. Yang, L.-Q. Chen, and S.-P. Yang. 2014. “Vibration of vehicle–pavement coupled system based on a Timoshenko beam on a nonlinear foundation.” J. Sound Vib. 333 (24): 6623–6636. https://doi.org/10.1016/j.jsv.2014.07.016.
Fei, K., and J. Peng. 2017. Detailed explanation of ABAQUS geotechnical engineering examples. Nanjing, China: People’s Posts and Telecommunications Publishing House.
Fu, L. L., Q. M. Gong, and Y. Wang. 2012. “Analysis on dynamic transfer characteristics of low geosynthetic-reinforced embankments supported by CFG piles subjected to high-speed railway.” In Proc., Advanced Materials Research, 2575–2580. Zurich, Switzerland: Trans Tech Publications Ltd.
Fujikawa, K. 1996. On optimistic design of low embankment road on soft subsoil by considering the traffic-load-induced settlement. Saga, Japan: Saga Univ.
Fujikawa, K., N. Miura, and I. Beppu. 1996. “Field investigation on the settlement of low embankment due to traffic load and its prediction.” Soils Found. 36 (4): 147–153. https://doi.org/10.3208/sandf.36.4_147.
Ge, H., and H. Wang. 2017. “Asphalt pavement surface crack under dynamic loading.” J. Nanjing For. Univ. 41 (1): 177–182.
Han, G.-x., Q.-m. Gong, and S.-h. Zhou. 2011. “An experimental investigation of soil arching under dynamic loads.” In Proc., 11th Int. Conf., of Chinese Transportation Professionals 2011: Towards Sustainable Transportation Systems, 3030–3037. Reston, VA: ASCE.
Han, G.-x., Q.-m. Gong, and S.-h. Zhou. 2015. “Soil arching in a piled embankment under dynamic load.” Int. J. Geomech. 15 (6): 04014094. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000443.
Han, J., and M. A. Gabr. 2002. “Numerical analysis of geosynthetic-reinforced and pile-supported earth platforms over soft soil.” J. Geotech. Geoenviron. Eng. 128 (1): 44–53. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:1(44).
He, G. 2005. Laboratory test and research on the settlement of soft foundation under low embankment considering the influence of traffic load. Nanjing, China: Hohai Univ.
Heitz, C., J. Lüking, and H.-G. Kempfert. 2008. “Geosynthetic reinforced and pile supported embankments under static and cyclic loading.” Strain 1: 1–5.
Hewlett, W. J., and M. F. Randolph. 1988. “Analysis of piled embankment.” Ground Eng. 21: 12–18.
Houda, M., O. Jenck, and F. Emeriault. 2016. “Physical evidence of the effect of vertical cyclic loading on soil improvement by rigid piles: A small-scale laboratory experiment using digital image correlation.” Acta Geotech. 11 (2): 325–346. https://doi.org/10.1007/s11440-014-0350-z.
Huang, Y. H. 2004. Pavement analysis and design. Upper Saddle River, NJ: Pearson Prentice Hall.
Jenck, O., D. Dias, and R. Kastner. 2007. “Two-dimensional physical and numerical modeling of a pile-supported earth platform over soft soil.” J. Geotech. Geoenviron. Eng. 133 (3): 295–305. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:3(295).
Kempfert, H. G., D. Zaeske, and D. Alexiew. 1999. “Interactions in reinforced bearing layers over partial supported underground.” In Geotechnical Engineering for Transportation Infrastructure, edited by F. B. J. Barends, 1527–1532. Rotterdam, Netherlands: Balkema.
Kutara, K., H. Miki, Y. Mashita, and K. Seki. 1980. “Settlement and countermeasures of the road with low embankment on soft ground.” Tech. Reo. Civ. Eng. 22 (8): 13–16.
Lai, F., F. Chen, and D. Li. 2018. “Bearing capacity characteristics and failure modes of low geosynthetic-reinforced embankments overlying voids.” Int. J. Geomech. 18 (8): 04018085. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001206.
Lai, H.-J., J.-J. Zheng, M.-J. Cui, and J. Chu. 2020. ““Soil arching” for piled embankments: Insights from stress redistribution behaviour of DEM modelling.” Acta Geotech. 15 (8): 2117–2136. https://doi.org/10.1007/s11440-019-00902-x.
Li, G.-W., T. N. Nguyen, and A. C. Amenuvor. 2016. “Settlement prediction of surcharge preloaded low embankment on soft ground subjected to cyclic loading.” Mar. Georesour. Geotechnol. 34 (2): 154–161. https://doi.org/10.1080/1064119X.2014.985860.
Liao, G., and X. Huang. 2008. Application of ABAQUS finite element software in road engineering. Nanjing, China: Southeast Univ. Publishing House.
Liu, H. L., C. W. W. Ng, and K. Fei. 2007. “Performance of a geogrid-reinforced and pile-supported highway embankment over soft clay: Case study.” J. Geotech. Geoenviron. Eng. 133 (12): 1483–1493. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:12(1483).
Liu, N., W. Gao, C. Song, N. Zhang, and Y.-L. Pi. 2013. “Interval dynamic response analysis of vehicle-bridge interaction system with uncertainty.” J. Sound Vib. 332 (13): 3218–3231. https://doi.org/10.1016/j.jsv.2013.01.025.
Low, B. K., S. K. Tang, and V. Choa. 1994. “Arching in piled embankments.” J. Geotech. Eng. 120 (11): 1917–1938. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:11(1917).
Lu, Z., R. Fang, H. Yao, Z. Hu, and J. Liu. 2018. “Evaluation and analysis of the traffic load–induced settlement of roads on soft subsoils with low embankments.” Int. J. Geomech. 18 (6): 04018043. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001123.
Moghadas Nejad, F., A. Noory, S. Toolabi, and S. Fallah. 2015. “Effect of using geosynthetics on reflective crack prevention.” Int. J. Pavement Eng. 16 (6): 477–487. https://doi.org/10.1080/10298436.2014.943128.
MTC (Ministry of Transport of China). 2015. Specifications for design of highway subgrades. JTG-D30. Beijing: MTC.
MTC (Ministry of Transport of China). 2017. Specifications for design of highway asphalt pavement. JTG-D50. Beijing: MTC.
Pham, H. V., and D. Dias. 2019. “3D numerical modeling of a piled embankment under cyclic loading.” Int. J. Geomech. 19 (4): 04019010. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001354.
Pham, H. V., D. Dias, and A. Dudchenko. 2020. “3D modeling of geosynthetic-reinforced pile-supported embankment under cyclic loading.” Geosynth. Int. 27 (2): 157–169. https://doi.org/10.1680/jgein.18.00039.
Roscoe, K. H., and J. Burland. 1968. ““On the generalized stress-strain behaviour of wet clay.”.” In Engineering plasticity, edited by J. Heyman, and F. Leckie, 535–609. Cambridge, UK: Cambridge University Press.
Sakai, A., L. Samang, and N. Miura. 2003. “Partially-drained cyclic behavior and its application to the settlement of a low embankment road on silty-clay.” Soils Found. 43 (1): 33–46. https://doi.org/10.3208/sandf.43.33.
Shahani, A. R., and M. Babaei. 2020. “The crack propagation path for a system of surface and subsurface cracks and their interactions due to rolling contact fatigue.” Acta Mech. 231 (5): 1751–1764. https://doi.org/10.1007/s00707-019-02604-7.
Shang, Y., L. Xu, and M. Wang. 2018. “Study on dynamic characteristics of low embankment and long-term performance technical measures.” J. Highway Transp. Res. Dev. 35 (2): 33–40, 47.
Sih, G. C. 1973. Handbook of stress-intensity factors. Bethlehem, PA: Lehigh Univ., Institute of Fracture and Solid Mechanics.
Sun, L., and Y. Duan. 2013. “Dynamic response of top-down cracked asphalt concrete pavement under a half-sinusoidal impact load.” Acta Mech. 224 (8): 1865–1877. https://doi.org/10.1007/s00707-013-0849-7.
Tang, L., H. Chen, H. Sang, S. Zhang, and J. Zhang. 2015. “Determination of traffic-load-influenced depths in clayey subsoil based on the shakedown concept.” Soil Dyn. Earthquake Eng. 77: 182–191. https://doi.org/10.1016/j.soildyn.2015.05.009.
van Eekelen, S. J. M., A. Bezuijen, H. J. Lodder, and A. F. van Tol. 2012a. “Model experiments on piled embankments. Part I.” Geotext. Geomembr. 32: 69–81. https://doi.org/10.1016/j.geotexmem.2011.11.002.
van Eekelen, S. J. M., A. Bezuijen, H. J. Lodder, and A. F. van Tol. 2012b. “Model experiments on piled embankments. Part II.” Geotext. Geomembr. 32: 82–94. https://doi.org/10.1016/j.geotexmem.2011.11.003.
Wan, Q., X.-h. Yang, P.-j. Yin, and H. Bao. 2020. “Low embankment dynamic response under vehicle traffic loads in arid-oasis areas.” J. Mountain Sci. 17 (7): 1776–1789. https://doi.org/10.1007/s11629-020-5980-z.
Wan, X., J. Ding, Z. Hong, C. Huang, S. Shang, and C. Ding. 2022. “Dynamic response of a Low embankment subjected to traffic loads on the Yangtze River floodplain, China.” Int. J. Geomech. 22 (6): 04022065. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002357.
Wang, J., and X. Zhu. 2004. “Dynamic response analysis of asphalt road with reflective cracks on soft soil foundation.” Chin. J. Highways 2004 (01): 5–10.
Wang, X., and Y. Zhong. 2019. “Reflective crack in semi-rigid base asphalt pavement under temperature-traffic coupled dynamics using XFEM.” Constr. Build. Mater. 214: 280–289. https://doi.org/10.1016/j.conbuildmat.2019.04.125.
Wood, D. M. 1990. Soil behaviour and critical state soil mechanics. Cambridge, UK: Cambridge University Press.
Xu, C., X. Zhang, J. Han, and Y. Yang. 2019. “Two-dimensional soil-arching behavior under static and cyclic loading.” Int. J. Geomech. 19 (8): 04019091. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001482.
Yongjie, L., Y. Shaopu, and W. Jianxi. 2014. “Research on pavement longitudinal crack propagation under non-uniform vehicle loading.” Eng. Fail. Anal. 42: 22–31. https://doi.org/10.1016/j.engfailanal.2014.03.004.
Yoo, P. J., and I. L. Al-Qadi. 2008. “The truth and myth of fatigue cracking potential in hot-mix asphalt: Numerical analysis and validation.” Asphalt Paving Technol. 77: 549.
Zhang, J., S. Yang, S. Li, H. Ding, Y. Lu, and C. Si. 2022. “Study on crack propagation path of asphalt pavement under vehicle-road coupled vibration.” Appl. Math. Modell. 101: 481–502. https://doi.org/10.1016/j.apm.2021.09.004.
Zhao, J., S. Liu, M. Shi, and H. Zhang. 2007. “Experimental study on dynamic response of low embankment under traffic load.” J. Southeast Univ. 37 (5): 921–925.
Zhao, Y.-q., Y. Tan, and C. Zhou. 2010. “Analysis of top-down cracking of asphalt pavements based on fracture mechanics approach.” J. Tongji Univ. 38: 218–222.
Zhuang, Y., and S. Li. 2015. “Three-dimensional finite element analysis of arching in a piled embankment under traffic loading.” Arabian J. Geosci. 8 (10): 7751–7762. https://doi.org/10.1007/s12517-014-1748-5.
Zhuang, Y., and K. Y. Wang. 2018a. “Finite-element analysis of arching in highway piled embankments subjected to moving vehicle loads.” Géotechnique 68 (10): 857–868. https://doi.org/10.1680/jgeot.16.P.266.
Zhuang, Y., and K. Wang. 2018b. “Finite element analysis on the dynamic behavior of soil arching effect in piled embankment.” Transp. Geotech. 14: 8–21. https://doi.org/10.1016/j.trgeo.2017.09.001.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 12December 2023

History

Received: Dec 12, 2022
Accepted: May 8, 2023
Published online: Sep 22, 2023
Published in print: Dec 1, 2023
Discussion open until: Feb 22, 2024

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Ph.D. Candidate, School of Civil Engineering, Wuhan Univ., Wuhan, Hubei 430072, China. ORCID: https://orcid.org/0009-0003-9548-5476. Email: [email protected]
Yang Liu, Ph.D. [email protected]
Research Associate, Dept. of Civil and Environmental Engineering, The Hong Kong Polytechnic Univ., Hung Hom, Kowloon 999077, Hong Kong, China. Email: [email protected]
Professor, School of Civil Engineering, Wuhan Univ., Wuhan, Hubei 430072, China. ORCID: https://orcid.org/0000-0001-9038-4113. Email: [email protected]
Professor, School of Civil Engineering, Wuhan Univ., Wuhan, Hubei 430072, China (corresponding author). ORCID: https://orcid.org/0000-0001-9679-4914. Email: [email protected]

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