Dynamic Response of Full-Section Asphalt Concrete Waterproof Layer on Ballastless Tracks Employing Fractional-Order Modeling

Gang Xu; You Wu; Wei Huang; Yuefeng Shi; Tianling Wang; Degou Cai; Jinghong Tan; Xianhua Chen

doi:10.1016/j.eng.2025.10.001

Engineering ›› DOI: 10.1016/j.eng.2025.10.001

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Dynamic Response of Full-Section Asphalt Concrete Waterproof Layer on Ballastless Tracks Employing Fractional-Order Modeling

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Abstract

The full-section asphalt concrete waterproof layer (FACWL) has garnered significant attention for its outstanding ability to reduce frost heave and thaw-related weakening in railway track beds, particularly in seasonally frozen regions. To explore the dynamic properties of the FACWL, a fractional-order constitutive model was utilized to characterize the viscoelastic behavior of asphalt concrete. Additionally, a vehicle–track coupled finite element (FE) model and the numerical approach incorporating the fractional-order constitutive model were developed and validated via experimental and field testing. Simulation results indicate that applying the FACWL reduces the vertical dynamic response of each structural layer, vertical peak accelerations across the subgrade surface layer exhibited reductions exceeding 30% in both positive and negative directions. Moreover, the tensile strain at the bottom of the FACWL remained relatively low, less than 100 με. Compared with conventional waterproof sealing layers, the viscoelastic nature of the FACWL facilitates energy dissipation, effectively decreasing the overall vibrational amplitude and vertical deformation within the track structure by more than 20%. Consequently, the FACWL plays a crucial role in ensuring the long-term stability of the subgrade and minimizing vibrations in the track system.

Keywords

Ballastless track / Full-section asphalt concrete waterproof layer / Vehicle–track coupling dynamics / Dynamic response / Fractional-order constitutive model

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Gang Xu, You Wu, Wei Huang, Yuefeng Shi, Tianling Wang, Degou Cai, Jinghong Tan, Xianhua Chen. Dynamic Response of Full-Section Asphalt Concrete Waterproof Layer on Ballastless Tracks Employing Fractional-Order Modeling. Engineering DOI:10.1016/j.eng.2025.10.001

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References

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[1]	Chen X, Zhu Y, Cai D, Xu G, Dong T.Investigation on interface damage between cement concrete base plate and asphalt concrete waterproofing layer under temperature load in ballastless track.Appl Sci 2020; 10(8):2654.

[2]	Guimar ACRães, Filho JCS, Castro CD.Contribution to the use of alternative material in heavy haul railway sub-ballast layer.Transp Geotech 2021; 30:100524.

[3]	Kucera P, Lidmila M, Jasansky P, Pycha M, Burrow MPN, Ghataora GS.The feasibility of using asphalt concrete with a high percentage of recycled asphalt material in a railway trackbed layer.Transp Geotech 2021; 26:100429.

[4]	Fang M, Hu T, Rose JG.Geometric composition, structural behavior and material design for asphalt trackbed: a review.Constr Build Mater 2020; 262:120755.

[5]	Li J, Xiao X, Cai D, Lou L, Shi Y, Xiao F.Performance evaluation of composite polymerized asphalt materials for waterproofing layer in high-speed railway system.Transp Geotech 2022; 37:100850.

[6]	Xiao X, Cai D, Lou L, Shi Y, Xiao F.Application of asphalt based materials in railway systems: a review.Constr Build Mater 2021; 304:124630.

[7]	Xiao X, Li J, Cai D, Lou L, Shi Y, Xiao F.Evolution evaluation of high-speed railway asphalt concrete waterproofing layer during laboratory freeze–thaw cycles.Constr Build Mater 2022; 324:126258.

[8]	Liu S, Yang J, Chen X, Yang G, Cai D.Application of mastic asphalt waterproofing layer in high-speed railway track in cold regions.Appl Sci 2018; 8(5):667.

[9]	Yang E, Wang KCP, Luo Q, Qiu Y.Asphalt concrete layer to support track slab of high-speed railway, transportation research record.Transp Res Rec 2019; 2505(1):6-14.

[10]	Rose JG, Lees HM.Long-term assessment of asphalt trackbed component materials’ properties and performance. In: Proceedings of the 2008 AREA Annual Conference; 2008 Sep 21–24; Salt Lake City, UT, USA. Lanham: American Railway Engineering Association (AREA); 2008.

[11]	Momoya Y, Sekine E, Tatsuoka F.Deformation characteristics of railway roadbed and subgrade under moving-wheel load.Soil Found 2005; 45(4):99-118.

[12]	Momoya Y, Horiike T, Ando K.Development of solid bed track on asphalt pavement.Q Rep RTRI 2002; 43(3):113-118.

[13]	Yang E, Wang KCP, Qiu Y, Luo Q.Asphalt concrete for high-speed railway infrastructure and performance comparisons.J Mater Civ Eng 2016; 28(5):0001495.

[14]	Wu Y, Shi C, Yu Y, Chen H, Fan Y, Wang H, et al.Dynamic behavior of precast epoxy asphalt track bed for transition zone in high-speed railway: a numerical approach.Transp Geotech 2023; 40:100960.

[15]	Shi C, Sun X, Wang T, Wu Y, Liu S, Wang H, et al.Numerical analysis of dynamic behavior of bi-block precast asphalt trackbed for high-speed railway.Constr Build Mater 2022; 342:128088.

[16]	Shi C, Zhang H, Wang T, Zhou Y, Liu S, Wang H, et al.Design and performance evaluation of bi-block precast rubberized epoxy asphalt trackbed for railway.Constr Build Mater 2021; 313:125347.

[17]	Xu L, Zhai W, Zhu S, Liu W.An efficient method for train–track–substructure dynamic interaction analysis by implicit–explicit integration and multi-time-step solution.Railway Eng Sci 2022; 31(1):20-36.

[18]	Yang X, Yu L, Wang X, Xu Z, Deng Y, Li H.Analysis of mesoscopic mechanical dynamic characteristics of ballast bed with under sleeper pads.Railway Eng Sci 2023; 32(1):107-123.

[19]	Lee SH, Park DW, Vo HV, Fang M.Analysis of asphalt concrete track based on service line test results.Constr Build Mater 2019; 203:558-566.

[20]	Chupin O, Martin A, Piau JM, Hicher PY.Calculation of the dynamic response of a viscoelastic railway structure based on a quasi-stationary approach.Int J Solids Struct 2014; 51(13):2297-2307.

[21]	Wu Y, Xue J, Yu Y, Shi C, Fan Y, Wang H, et al.Research of reflective crack in asphalt pavement using SCB specimen and XFEM: from laboratory test to numerical simulation.Constr Build Mater 2023; 406:133419.

[22]	Wang Y, Yan J, Huang W, Rutkowski L, Cao J.Variable-order fractional derivative rutting depth prediction of asphalt pavement based on the RIOHTrack full-scale track.Sci China Inf Sci 2023; 66(5):152205.

[23]	Zhang Q, Gu X, Dong Q, Liang J.Modified fractional-Zener model—numerical application in modeling the behavior of asphalt mixtures.Constr Build Mater 2023; 388:131690.

[24]	Li X, Sha A, Jiao W, Song R, Cao Y, Li C, et al.Fractional derivative Burgers models describing dynamic viscoelastic properties of asphalt binders.Constr Build Mater 2023; 408:133552.

[25]	Barraj F, Hatoum A, Khatib J, Assaad J, Castro A, Elkordi A.Uncertainty analysis for the dynamic modulus of recycled asphalt mixtures using unclassified fractionated RAP materials.Constr Build Mater 2024; 421:135721.

[26]	Padovan J.Computational algorithms for FE formulations involving fractional operators.Comput Mech 1987; 2(4):271-287.

[27]	Alotta G, Barrera O, Cocks A, Di M Paola.The finite element implementation of 3D fractional viscoelastic constitutive models.Finite Elem Anal Des 2018; 146:28-41.

[28]	Lv H, Liu H, Tan Y, Meng A, Assogba OC, Xiao S.An extended search method for identifying optimal parameters of the generalized Maxwell model.Constr Build Mater 2021; 266:120796.

[29]	Zhang Y, Birgisson B, Lytton RL.Weak form equation-based finite-element modeling of viscoelastic asphalt mixtures.J Mater Civ Eng 2016; 28(2):0001395.

[30]	Barrientos E, Pelayo F, ÁNoriega , Lamela MJ, Fernández-Canteli A, Tanaka E.Optimal discrete-time Prony series fitting method for viscoelastic materials.Mech Time-Depend Maters 2019; 23(2):193-206.

[31]	Wang H, Markine V.Dynamic behaviour of the track in transitions zones considering the differential settlement.J Sound Vibr 2019; 459:114863.

[32]	Shen C, Zhang P, Dollevoet R, Zoeteman A, Li Z.Evaluating railway track stiffness using axle box accelerations: a digital twin approach.Mech Syst Signal Proc 2023; 204:110730.

[33]	Cai X, Zhang Q, Wang Q, Cui X, Dong B.Effects of the subgrade differential arch on damage characteristics of CRTS III slab track and vehicle dynamic response.Constr Build Mater 2022; 327:126982.

[34]	Humar JL.Dynamics of structures. (3rd ed.), CRC Press, Raton (2012)

[35]	Feng SJ, Zhang XL, Wang L, Zheng QT, Du FL, Wang ZL.In situ experimental study on high speed train induced ground vibrations with the ballast-less track.Soil Dyn Earthq Eng 2017; 102:195-214.

[36]	Xu L, Zhai W.Train–track coupled dynamics analysis: system spatial variation on geometry, physics and mechanics.Railway Eng Sci 2020; 28(1):36-53.

[37]	Wang H, Markine VL.Methodology for the comprehensive analysis of railway transition zones.Comput Geotech 2018; 99:64-79.

[38]	Shih JY, Thompson D, Zervos A.The effect of boundary conditions, model size and damping models in the finite element modelling of a moving load on a track/ground system.Soil Dyn Earthq Eng 2016; 89:12-27.

[39]	Chen J, Zhou Y.Dynamic vertical displacement for ballastless track-subgrade system under high-speed train moving loads.Soil Dyn Earthq Eng 2020; 129:105911.

[40]	Bodin D, Chupin O, Denneman E.Viscoelastic asphalt pavement simulations and simplified elastic pavement models based on an “equivalent asphalt modulus” concept.J Test Eval 2017; 45(6):1887-1895.