Mesoscale Mechanism of Asphalt Track Bed in Reducing Cyclic Settlement of Ballast Layer under High-Speed Train Traffic Loads
Publication: Journal of Transportation Engineering, Part B: Pavements
Volume 149, Issue 1
Abstract
Asphalt track bed, in which an asphalt mixture is inserted underneath the ballast in a conventional granular track bed, has been experimentally proven to have better safety, stability, and economic efficiency. However, most existing theoretical studies were based on continuous mechanics theory, mainly focusing on the impact of the asphalt layer on the macroscale response of the track bed or subgrade, and rarely on the particle-scale mechanical behavior of ballast due to the limitations of the method. Hence, aiming at the improved performance of asphalt track bed and its mesoscale mechanisms, the discrete element method (DEM) model of asphalt track bed is established in this study and then validated with the measurements obtained from on-site tests. Subsequently, the validated model is used to investigate the effect of asphalt layer on the dynamic response and cyclic settlement of ballasted track bed under high-speed train moving loading. Results reveal that the asphalt layer has an ability to reduce vibration of the track bed, which contributes to less active ballast and more stable interparticle structure, thereby decreasing the accumulative settlement of the ballast layer. Besides, the asphalt layer can improve the uniformity of the force chain network inside the ballast layer. The well distributed and less intense force chain network in the ballast results in a slower degradation rate. A series of parameter analyses is performed in the end, concluding that the required thickness of the ballast layer in the asphalt track bed could be reduced by approximately one-third without changing the bearing capacity of the subgrade, and the asphalt track bed structure is a more economical and effective track form for high-speed or heavy-haul railway lines. This study discusses the improvement of ballasted railway track by insertion of asphalt layer and its mesoscale working mechanisms, and the results provide guidance for the design of asphalt track bed in high-speed railways or heavy-haul railways.
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Data Availability Statement
All data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 52125803 and 51988101), the Key Research and Development Program of Zhejiang Province (Grant No. 2019C03111), and the National Key Research and Development Program (Grant No. 2018YFE0207100).
References
Bian, X., H. Huang, E. Tutumluer, and Y. Gao. 2016a. “‘Critical particle size’ and ballast gradation studied by discrete element modeling.” Transp. Geotech. 6 (Mar): 38–44. https://doi.org/10.1016/j.trgeo.2016.01.002.
Bian, X., H. Jiang, and Y. Chen. 2010. “Accumulative deformation in railway track induced by high-speed traffic loading of the trains.” Earthquake Eng. Eng. Vibr. 9 (3): 319–326. https://doi.org/10.1007/s11803-010-0016-2.
Bian, X., H. Jiang, Y. Chen, J. Jiang, and J. Han. 2016b. “A full-scale physical model test apparatus for investigating the dynamic performance of the slab track system of a high-speed railway.” Proc. Inst. Mech. Eng., Part F: J. Rail Rapid Transit 230 (2): 554–571. https://doi.org/10.1177/0954409714552113.
Bian, X., J. Jiang, W. Jin, D. Sun, W. Li, and X. Li. 2016c. “Cyclic and postcyclic triaxial testing of ballast and subballast.” J. Mater. Civ. Eng. 28 (7): 04016032. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001523.
Bian, X., W. Li, G. Li, and E. Tutumluer. 2015. “Three-dimensional discrete element analysis of railway ballast’s shear process based on particles’ real geometry.” Eng. Mech. 32 (5): 64–75. https://doi.org/10.6052/j.issn.1000-4750.2013.11.1029.
Bian, X., W. Li, Y. Qian, and E. Tutumluer. 2019. “Micromechanical particle interactions in railway ballast through DEM simulations of direct shear tests.” Int. J. Geomech. 19 (5): 04019031. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001403.
Bian, X., W. Li, Y. Qian, and E. Tutumluer. 2020. “Analysing the effect of principal stress rotation on railway track settlement by discrete element method.” Geotechnique 70 (9): 803–821. https://doi.org/10.1680/jgeot.18.P.368.
Bian, X., K. Shi, W. Li, X. Luo, E. Tutumluer, and Y. Chen. 2021. “Quantification of railway ballast degradation by abrasion testing and computer-aided morphology analysis.” J. Mater. Civ. Eng. 33 (1): 04020411. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003519.
Cardona, D. R., H. Di Benedetto, C. Sauzeat, N. Calon, and G. Saussine. 2016. “Use of a bituminous mixture layer in high-speed line trackbeds.” Constr. Build. Mater. 125 (Oct): 398–407. https://doi.org/10.1016/j.conbuildmat.2016.07.118.
Chen, C., and G. R. McDowell. 2016. “An investigation of the dynamic behaviour of track transition zones using discrete element modeling.” Proc. Inst. Mech. Eng., Part F: J. Rail Rapid Transit 230 (1): 117–128. https://doi.org/10.1177/0954409714528892.
Chen, C., G. R. McDowell, and N. H. Thom. 2012. “Discrete element modelling of cyclic loads of geogrid-reinforced ballast under confined and unconfined conditions.” Geotext. Geomembr. 35 (Dec): 76–86. https://doi.org/10.1016/j.geotexmem.2012.07.004.
Chen, H., and X. Bian. 2018. “Discrete element simulation study of contact pressure distribution between sleeper and ballasts.” In Environmental vibrations and transportation geodynamics, 189–195. Singapore: Springer.
Chen, J., B. Huang, X. Shu, and C. Hu. 2015. “DEM simulation of laboratory compaction of asphalt mixtures using an open source code.” J. Mater. Civ. Eng. 27 (3): 04014130. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001069.
Cho, G.-C., J. Dodds, and J. C. Santamarina. 2006. “Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands.” J. Geotech. Geoenviron. Eng. 132 (5): 591–602. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:5(591).
Cundall, P. A., and O. D. Strack. 1979. “A discrete numerical model for granular assemblies.” Geotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Di Mino, G., M. Di Liberto, C. Maggiore, and S. Noto. 2012. “A dynamic model of ballasted rail track with bituminous sub-ballast layer.” In Proc., SIIV-5th Int. Congress—Sustainability of Road Infrastructures 2012, 366–378. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/j.sbspro.2012.09.888.
Ehsan, I., and A. Bezuijen. 2015. “Simulation of granular soil behaviour using the bullet physics library.” In Proc., 3rd Int. Symp. on Geomechanics from Micro to Macro, 1565–1570. London: Taylor and Francis Group.
Ehsan, I., and A. Bezuijen. 2018. “Simulating direct shear tests with the Bullet physics library: A validation study.” PLoS One 13 (4): e0195073. https://doi.org/10.1371/journal.pone.0195073.
Fang, M., S. F. Cerdas, and Y. Qiu. 2013. “Numerical determination for optimal location of sub-track asphalt layer in high-speed rails.” J. Mod. Transp. 21 (2): 103–110. https://doi.org/10.1007/s40534-013-0012-0.
Fang, M., T. Hu, and J. G. Rose. 2020. “Geometric composition, structural behavior and material design for asphalt trackbed: A review.” Constr. Build. Mater. 262 (Nov): 120755. https://doi.org/10.1016/j.conbuildmat.2020.120755.
Feng, H., M. Pettinari, and H. Stang. 2016. “Three different ways of calibrating burger’s contact model for viscoelastic model of asphalt mixtures by discrete element method.” In Proc., 8th RILEM Int. Symp. on Testing and Characterization of Sustainable and Innovative Bituminous Materials, 423–433. Dordrecht, Netherlands: Springer. https://doi.org/10.1007/978-94-017-7342-3_34.
Grabe, P. J., and C. R. Clayton. 2009. “Effects of principal stress rotation on permanent deformation in rail track foundations.” J. Geotech. Geoenviron. Eng. 135 (4): 555–565. https://doi.org/10.1061/(asce)1090-0241(2009)135:4(555.
He, H., and J. Zheng. 2020. “Simulations of realistic granular soils in oedometer tests using physics engine.” Int. J. Numer. Anal. Methods Geomech. 44 (7): 983–1002. https://doi.org/10.1002/nag.3031.
He, H., J. Zheng, and Z. Li. 2020. “Comparing realistic particle simulation using discrete element method and physics engine.” In Proc., Geo-Congress 2020: Modeling, Geomaterials, and Site Characterization, 464–472. Reston, VA: ASCE. https://doi.org/10.1061/9780784482803.050.
Hill, B. C., O. Giraldo-Londoño, G. H. Paulino, and W. G. Buttlar. 2017. “Inverse estimation of cohesive fracture properties of asphalt mixtures using an optimization approach.” Exp. Mech. 57 (4): 637–648. https://doi.org/10.1007/s11340-017-0257-3.
Huang, H., S. Shen, and E. Tutumluer. 2010. “Moving load on track with asphalt trackbed.” Veh. Syst. Dyn. 48 (6): 737–749. https://doi.org/10.1080/00423110903104400.
Huang, H., and E. Tutumluer. 2014. “Image-aided element shape generation method in discrete-element modeling for railroad ballast.” J. Mater. Civ. Eng. 26 (3): 527–535. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000839.
Indraratna, B., N. T. Ngo, and C. Rujikiatkamjorn. 2013. “Deformation of coal fouled ballast stabilized with geogrid under cyclic load.” J. Geotech. Geoenviron. Eng. 139 (8): 1275–1289. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000864.
Jean, M. 1999. “The non-smooth contact dynamics method.” Comput. Method Appl. Mech. Eng. 177 (3–4): 235–257. https://doi.org/10.1016/S0045-7825(98)00383-1.
Ji, S., S. Sun, and Y. Yan. 2017. “Discrete element modeling of dynamic behaviors of railway ballast under cyclic loading with dilated polyhedral.” Int. J. Numer. Anal. Methods Geomech. 41 (2): 180–197. https://doi.org/10.1002/nag.2549.
Jiang, H., X. Bian, C. Cheng, Y. Chen, and R. Chen. 2016. “Simulating train moving loads in physical model testing of railway infrastructure and its numerical calibration.” Acta Geotech. 11 (2): 231–242. https://doi.org/10.1007/s11440-014-0327-y.
Kim, H., M. P. Wagoner, and W. G. Buttlar. 2008. “Simulation of fracture behavior in asphalt concrete using a heterogeneous cohesive zone discrete element model.” J. Mater. Civ. Eng. 20 (8): 552–563. https://doi.org/10.1061/(ASCE)0899-1561(2008)20:8(552).
Kim, I. T., and E. Tutumluer. 2005. “Unbound aggregate rutting models for stress rotations and effects of moving wheel loads.” Transp. Res. Rec. 1913 (1): 41–49. https://doi.org/10.1177/0361198105191300105.
Lee, S.-H., Y.-T. Choi, H.-M. Lee, and D.-W. Park. 2016. “Performance evaluation of directly fastened asphalt track using a full-scale test.” Constr. Build. Mater. 113 (Jun): 404–414. https://doi.org/10.1016/j.conbuildmat.2016.02.221.
Lei, X., and J. G. Rose. 2008. “Numerical investigation of vibration reduction of ballast track with asphalt trackbed over soft subgrade.” J. Vib. Control 14 (12): 1885–1902. https://doi.org/10.1177/1077546308091213.
Li, D. 2000. “Deformations and remedies for soft railroad subgrades subjected to heavy axle loads.” In Proc., Sessions of Geo-Denver 2000—Advances in Transportation and Geoenvironmental Systems Using Geosynthetics, GSP 103. Reston, VA: ASCE. https://doi.org/10.1061/40515(291)20.
Li, W., X. Bian, X. Duan, and E. Tutumluer. 2018. “Full-scale model testing on ballasted high-speed railway: Dynamic responses and accumulated settlements.” Transp. Res. Rec. 2672 (10): 125–135. https://doi.org/10.1177/0361198118784379.
Li, X., and H. S. Yu. 2010. “Numerical investigation of granular material behaviour under rotational shear.” Geotechnique 60 (5): 381–394. https://doi.org/10.1680/geot.2010.60.5.381.
Lim, W. L., and G. R. McDowell. 2005. “Discrete element modelling of railway ballast.” Granular Matter 7 (1): 19–29. https://doi.org/10.1007/s10035-004-0189-3.
Liu, Q., X. Lei, J. G. Rose, and M. L. Purcell. 2017. “Pressure measurements at the tie-ballast interface in railroad tracks using granular material pressure cells.” In Proc., 2017 Joint Rail Conf. Philadelphia: Rail Transportation Division. https://doi.org/10.1115/JRC2017-2219.
Liu, Y., and Z. You. 2009. “Visualization and simulation of asphalt concrete with randomly generated three-dimensional models.” J. Comput. Civ. Eng. 23 (6): 340–347. https://doi.org/10.1061/(ASCE)0887-3801(2009)23:6(340).
Lobo-Guerrero, S., and L. E. Vallejo. 2006. “Discrete element method analysis of railtrack ballast degradation during cyclic loading.” Granular Matter 8 (3): 195. https://doi.org/10.1007/s10035-006-0006-2.
Lu, M., and G. R. McDowell. 2007. “The importance of modelling ballast particle shape in the discrete element method.” Granular Matter 9 (1/2): 69–80. https://doi.org/10.1007/s10035-006-0021-3.
Momoya, Y., and E. Sekine. 2004. “Reinforced roadbed deformation characteristics under moving wheel loads.” In Proc., Quarterly Report of Railway Technical Research Institute, 162–168. Tokyo: Railway Technical Research Institute. https://doi.org/10.2219/rtriqr.45.162.
NRAC (National Railway Administration of China). 2008. Gravel ballast of railway. Beijing: NRAC.
Powrie, W., L. Yang, and C. R. Clayton. 2007. “Stress changes in the ground below ballasted railway track during train passage.” Proc. Inst. Mech. Eng., Part F: J. Rail Rapid Transit 221 (2): 247–262. https://doi.org/10.1243/0954409JRRT95.
Pytlos, M., M. Gilbert, and C. Smith. 2015a. “Modelling granular soil behaviour using a physics engine.” Geotech. Lett. 5 (4): 243–249. https://doi.org/10.1680/jgele.15.00067.
Pytlos, M., M. Gilbert, and C. Smith. 2015b. “Simulation of granular soil behaviour using physics engines.” In Geomechanics from micro to macro, 163–168. Boca Raton: CRC.
Radjai, F., and V. Richefeu. 2009. “Contact dynamics as a nonsmooth discrete element method.” Mech. Mater. 41 (6): 715–728. https://doi.org/10.1016/j.mechmat.2009.01.028.
Ramirez Cardona, D., H. D. Benedetto, C. Sauzeat, N. Calon, and J. Rose. 2020. “Designs, application and performances of asphalt/bituminous trackbeds in European, Asian, and African countries.” Transp. Res. Rec. 2674 (11): 245–262. https://doi.org/10.1177/0361198120945314.
Ren, J., Z. Liu, J. Xue, and Y. Xu. 2020. “Influence of the mesoscopic viscoelastic contact model on characterizing the rheological behavior of asphalt concrete in the DEM simulation.” Adv. Civ. Eng. 2020 (Feb): 5248267. https://doi.org/10.1155/2020/5248267.
Ren, J., and L. Sun. 2016. “Generalized maxwell viscoelastic contact model-based discrete element method for characterizing low-temperature properties of asphalt concrete.” J. Mater. Civ. Eng. 28 (2): 04015122. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001390.
Rose, J., and R. Souleyrette. 2015. “Asphalt railway trackbeds: Recent designs, applications and performances.” In Proc., American Railway Engineering and Maintenance-of-Way Association Conf., 4–7. Lanham, MD: American Railway Engineering and Maintenance-of-Way Association.
Rose, J. G. 2008. “Test measurements and performance evaluations of in-Service railway asphalt trackbeds.” In Proc., Transportation Systems 2008 Workshop. Phoenix: Citeseer. https://doi.org/10.1.1.539.3519.
Rose, J. G. 2019. “Designs, applications, and performances of asphalt trackbeds in the United States.” In Railway engineering 2019. Edinburgh, UK: Rail Engineering Group.
Rose, J. G., and L. S. Bryson. 2009. “Hot mix asphalt railway trackbeds: Trackbed materials, performance evaluations and significant implications.” In Proc., Int. Conf. on Perpetual Pavements, 19. Columbus, OH: Ohio Research Institute for Transportation and Environment.
Rose, J. G., and M. Hensley. 1991. Performance of hot-mix-asphalt railway trackbeds. Washington, DC: Transportation Research Board.
Rose, J. G., D. Li, and L. A. Walker. 2002. “Tests and evaluations of in-service asphalt trackbeds.” In Proc., American Railway Engineering and Maintenance-of-Way Association, Annual Conf. & Exposition. Lanham, MD: American Railway Engineering and Maintenance-of-Way Association.
Sadeghi, J., and P. Barati. 2010. “Evaluation of conventional methods in analysis and design of railway track system.” Int. J. Civ. Eng. 8 (1): 44–56.
Sevi, A., and L. Ge. 2012. “Cyclic behaviors of railroad ballast within the parallel gradation scaling framework.” J. Mater. Civ. Eng. 24 (7): 797–804. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000460.
Soto, F. M., D. M. Gaetano, M. Di Liberto, and S. Noto. 2015. “The resistance to fatigue of dry asphalt rubber concrete for sub-ballast layer.” In Proc., 15th Int. Conf. of Railway Engineering. Southampton, UK: Wessex Institute. https://doi.org/10.13140/RG.2.2.11104.89606.
Takemiya, H., and X. Bian. 2005. “Substructure simulation of inhomogeneous track and layered ground dynamic interaction under train passage.” J. Eng. Mech. 131 (7): 699–711. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:7(699).
Teixeira, P. F., A. López-Pita, C. Casas, A. Bachiller, and F. Robusté. 2006. “Improvements in high-speed ballasted track design: Benefits of bituminous subballast layers.” Transp. Res. Rec. 1943 (1): 43–49. https://doi.org/10.1177/0361198106194300106.
Tong, Z., J. Zhang, Y. Yu, and G. Zhang. 2010. “Drained deformation behavior of anisotropic sands during cyclic rotation of principal stress axes.” J. Geotech. Geoenviron. Eng. 136 (11): 1509–1518. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000378.
Tutumluer, E., H. Huang, and X. Bian. 2012. “Geogrid-aggregate interlock mechanism investigated through aggregate imaging-based discrete element modeling approach.” Int. J. Geomech. 12 (2): 391–398. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000113.
Tutumluer, E., H. Huang, Y. Hashash, and J. Ghaboussi. 2007. “Discrete element modeling of railroad ballast settlement.” In Proc., AREMA 2007 Annual Conf. Lanham, MD: American Railway Engineering and Maintenance-of-Way Association. https://doi.org/10.1.1.514.4373.
Tutumluer, E., and T. Pan. 2008. “Aggregate morphology affecting strength and permanent deformation behavior of unbound aggregate materials.” J. Mater. Civ. Eng. 20 (9): 617–627. https://doi.org/10.1061/(ASCE)0899-1561(2008)20:9(617).
Tutumluer, E., Y. Qian, Y. M. A. Hashash, J. Ghaboussi, and D. D. Davis. 2013. “Discrete element modelling of ballasted track deformation behaviour.” Int. J. Rail Transp. 1 (1–2): 57–73. https://doi.org/10.1080/23248378.2013.788361.
Wang, J. C., X. Zeng, and R. L. Mullen. 2005. “Three-dimensional finite element simulations of ground vibration generated by high-speed trains and engineering countermeasures.” J. Vib. Control 11 (12): 1437–1453. https://doi.org/10.1177/1077546305056460.
Wattanapanalai, T. 2018. “A 3D numerical analysis of the railway to compare the performance of the granular and asphalt trackbeds.” Master’s thesis, Dept. of Civil and Environmental Engineering, Univ. of Louisville.
Wehbi, M., M. Gallou, and B. Lee. 2020. “Towards trackbed design with asphalt underlayment using FWD-based numerical model.” Int. J. Rail Transp. 8 (4): 370–386. https://doi.org/10.1080/23248378.2019.1655494.
Xue, B., J. Pei, B. Zhou, J. Zhang, R. Li, and F. Guo. 2020. “Using random heterogeneous DEM model to simulate the SCB fracture behavior of asphalt concrete.” Constr. Build. Mater. 236 (Mar): 117580. https://doi.org/10.1016/j.conbuildmat.2019.117580.
Yin, A., X. Yang, G. Zeng, and H. Gao. 2015. “Experimental and numerical investigation of fracture behavior of asphalt mixture under direct shear loading.” Constr. Build. Mater. 86 (Jul): 21–32. https://doi.org/10.1016/j.conbuildmat.2015.03.099.
Yu, H., and S. Shen. 2013. “A micromechanical based three-dimensional DEM approach to characterize the complex modulus of asphalt mixtures.” Constr. Build. Mater. 38 (Jan): 1089–1096. https://doi.org/10.1016/j.conbuildmat.2012.09.036.
Zhang, X., C. Zhao, and W. Zhai. 2017. “Dynamic behavior analysis of high-speed railway ballast under moving vehicle loads using discrete element method.” Int. J. Geomech. 17 (7): 04016157. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000871.
Zhang, X., C. Zhao, and W. Zhai. 2019. “Importance of load frequency in applying cyclic loads to investigate ballast deformation under high-speed train loads.” Soil Dyn. Earthquake Eng. 120 (May): 28–38. https://doi.org/10.1016/j.soildyn.2019.01.023.
Zhao, S., N. Zhang, X. Zhou, and L. Zhang. 2017. “Particle shape effects on fabric of granular random packing.” Powder Technol. 310 (1): 175–186. https://doi.org/10.1016/j.powtec.2016.12.094.
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Journal of Transportation Engineering, Part B: Pavements
Volume 149 • Issue 1 • March 2023
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© 2022 American Society of Civil Engineers.
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Received: Apr 13, 2021
Accepted: Jul 9, 2022
Published online: Oct 21, 2022
Published in print: Mar 1, 2023
Discussion open until: Mar 21, 2023
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