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On-line Access: 2023-03-17

Received: 2022-01-09

Revision Accepted: 2022-04-14

Crosschecked: 2023-03-17

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Gan-zhong Liu

https://orcid.org/0000-0001-5761-7616

Rong CHEN

https://orcid.org/0000-0001-8093-6201

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Journal of Zhejiang University SCIENCE A 2023 Vol.24 No.3 P.257-271

http://doi.org/10.1631/jzus.A2200019


Analysis of the breakage parameters of railway ballast based on the discrete element method


Author(s):  Gan-zhong LIU, Jia-cheng DAI, Ping WANG, Rong CHEN, Hao LIU, Xian-kui WEI

Affiliation(s):  MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, China; more

Corresponding email(s):   chenrong@home.swjtu.edu.cn

Key Words:  Ballasted track, Breakage parameters, Discrete element method (DEM), Response surface


Gan-zhong LIU, Jia-cheng DAI, Ping WANG, Rong CHEN, Hao LIU, Xian-kui WEI. Analysis of the breakage parameters of railway ballast based on the discrete element method[J]. Journal of Zhejiang University Science A, 2023, 24(3): 257-271.

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year="2023",
publisher="Zhejiang University Press & Springer",
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Abstract: 
During the service lives of ballasted tracks, the ballast experiences degradation, such as breakage and fragmentation, which reduces the stability of the tracks. Ballast breakage is directly related to the shapes, sizes, and stress states of particles. The key to solving this problem is to determine the breakage parameters of railway ballast. In this study, through uniaxial compression and uniaxial shear tests, the factors associated with ballast breakage for a simple stress state were obtained. Then, a refined discrete element model of railway ballast was established. The Box-Behnken method was used to design a simulation test, and a response surface method was used to obtain the optimal ballast breakage parameters. Lastly, the results of a direct shear test were compared with the simulation results to verify the correctness of the parameters and to study the shear resistance of the ballast aggregates. The results showed that for ballast particles with sizes of 22.4–63.0 mm, the characteristic stresses of compression and shear were not significantly affected by the size of the particles, but were greatly affected by their shape. In particular, long particles were more likely to break. During the direct shear test, the cumulative ballast breakage ratio gradually increased to 13.97%. The optimal breakage parameters of the ballast determined by this approach have high application value in the management of ballasted tracks.

基于离散元法的铁路道砟破碎参数研究

作者:刘淦中1,2,戴佳程3,王平1,2,陈嵘1,2,刘浩4,魏贤奎5
机构:1西南交通大学,高速铁路线路工程教育部重点实验室,中国成都,610031;2西南交通大学,土木工程学院,中国成都,610031;3厦门地铁,中国厦门,361000;4中国铁道科学研究院集团有限公司,铁道建筑研究所,中国北京,100081;5四川省铁路产业投资集团有限责任公司,中国成都,610031
目的:有砟轨道在长期服役下频繁出现道砟颗粒掉角、破碎等劣化现象,降低了有砟轨道的稳定性。而道砟的破碎与其形状、大小、应力状态等有较大的关系,因此合理确定道砟的破碎参数是研究和解决这一问题的关键。本文旨在探索基于Hertz-Mindlin本构模型的道砟破碎参数,研究道砟的破碎性能,以期为实际服役的铁路有砟轨道提供参考。
创新点:1.采用统计学方法分析了道砟破碎的主要影响因素及其临界压碎强度和临界剪碎强度;2.采用响应面法确定了离散元道砟的最优破碎参数组合;3.通过直剪试验分析了道砟的抗剪性能和破碎状况,为实际服役的有砟轨道提供参考。
方法:1.通过单轴压缩破碎和单轴剪切破碎实测试验,确定简单应力状态下道砟破碎的主要影响因素及其临界压碎强度和临界剪碎强度(图1和2,表3);2.建立可破碎道砟的精细化离散元模型,采用Box-Behnken法进行仿真试验的工况设计,并对仿真试验结果进行响应曲面分析以获取最优破碎参数(图9,表7);3.通过对比实测与仿真的直剪试验结果,验证离散元道砟破碎参数的正确性,并探明道砟堆积体的抗剪性能(图12和13)。
结论:1.对于粒径范围为22.4~63.0mm的道砟,其压碎特征应力和剪碎特征应力受道砟粒径的影响不大,而受道砟形状的影响较大;2.针状道砟更容易破碎;3.直剪试验中,道砟的累积破碎率逐渐增大,最终达到13.97%;4.道砟的最优破碎参数可参考本研究的结论进行取值,且具有较高的应用价值。

关键词:有砟轨道;破碎;离散元;响应面;参数

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Bar-GeraH, 2017. The target parameter of adjusted R-squared in fixed-design experiments. The American Statistician, 71(2):112-119.

[2]BianXC, LiW, QianY, et al., 2019. Micromechanical particle interactions in railway ballast through DEM simulations of direct shear tests. International Journal of Geomechanics, 19(5):04019031.

[3]BoxGEP, WilsonKB, 1951. On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society: Series B (Methodological), 13(1):1-38.

[4]ChaubeyYP, 1993. Resampling-based multiple testing: examples and methods for p-value adjustment. Technometrics, 35(4):450-451.

[5]ChenR, ChenJY, WangP, et al., 2017. Numerical investigation on wheel-turnout rail dynamic interaction excited by wheel diameter difference in high-speed railway. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 18(8):660-676. http://dx.doi.org/10.1631/jzus.A1700134

[6]ChoGC, DoddsJ, SantamarinaJC, 2006. Particle shape effects on packing density, stiffness, and strength: natural and crushed sands. Journal of Geotechnical and Geoenvironmental Engineering, 132(5):591-602.

[7]CostaPA, CalçadaR, CardosoAS, 2012. Ballast mats for the reduction of railway traffic vibrations. Numerical study. Soil Dynamics and Earthquake Engineering, 42:137-150.

[8]de BonoJ, McDowellG, 2016. Particle breakage criteria in discrete-element modelling. Géotechnique, 66(12):‍1014-1027.

[9]DEM Solutions Ltd., 2021. EDEM Documentation. DEM Solutions Ltd., UK.

[10]EsmaeiliM, ShamohammadiA, FarsiS, 2020. Effect of deconstructed tire under sleeper pad on railway ballast degradation under cyclic loading. Soil Dynamics and Earthquake Engineering, 136:106265.

[11]StandardEuropean, 2013. Aggregates for Railway Ballast, BS EN 13450:2013. British Standards Institution.

[12]FerreiraSLC, BrunsRE, FerreiraHS, et al., 2007. Box-Behnken design: an alternative for the optimization of analytical methods. Analytica Chimica Acta, 597(2):‍179-186.

[13]GaoMY, CongJL, XiaoJL, et al., 2020. Dynamic modeling and experimental investigation of self-powered sensor nodes for freight rail transport. Applied Energy, 257:113969.

[14]GaoMY, WangP, JiangLL, et al., 2021. Power generation for wearable systems. Energy and Environmental Science, 14(4):2114-2157.

[15]GoodmanRE, 1995. Block theory and its application. Géotechnique, 45(3):383-423.

[16]HertzH, 1881. On the contact of elastic solids. Journal für die reine und angewandte Mathematik, 92:156-171.

[17]HiramatsuY, OkaY, 1966. Determination of the tensile strength of rock by a compression test of an irregular test piece. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 3(2):89-90.

[18]HochbergY, 1988. A sharper Bonferroni procedure for multiple tests of significance. Biometrika, 75(4):800-802.

[19]HossainZ, IndraratnaB, DarveF, et al., 2007. DEM analysis of angular ballast breakage under cyclic loading. Geomechanics and Geoengineering, 2(3):175-181.

[20]IbragimovR, MüllerUK, 2010. t-statistic based correlation and heterogeneity robust inference. Journal of Business & Economic Statistics, 28(4):453-468.

[21]IndraratnaB, ThakurPK, VinodJS, 2010. Experimental and numerical study of railway ballast behavior under cyclic loading. International Journal of Geomechanics, 10(4):136-144.

[22]IndraratnaB, NimbalkarS, NavaratnarajahSK, et al., 2014. Use of shock mats for mitigating degradation of railroad ballast. Sri Lankan Geotechnical Journal-Special Issue on Ground Improvement, 6(1):32-41.

[23]IndraratnaB, QiYJ, JayasuriyaC, et al., 2021. Use of recycled rubber inclusions with granular waste for enhanced track performance. Transportation Engineering, 6:100093.

[24]Itasca Consulting Group Inc., 2014. PFC-Particle Flow Code Version 5.0 Users’ Manual. Itasca, Minneapolis, USA.

[25]JaegerJC, 1967. Failure of rocks under tensile conditions. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 4(2):219-227.

[26]JingGQ, QiangWL, ChangJX, et al., 2020. Effect of flakiness-elongation index on shear behavior of railway ballast. Journal of Southwest Jiaotong University, 55(4):‍688-694 (in Chinese).

[27]KaewunruenS, NgamkhanongC, PapaeliasM, et al., 2018. Wet/dry influence on behaviors of closed-cell polymeric cross-linked foams under static, dynamic and impact loads. Construction and Building Materials, 187:‍1092-1102.

[28]KhuriAI, MukhopadhyayS, 2010. Response surface methodology. WIREs Computational Statistics, 2(2):128-149.

[29]KraśkiewiczC, ZbiciakA, Al Sabouni-ZawadzkaA, et al., 2020. Experimental research on fatigue strength of prototype under sleeper pads used in the ballasted rail track systems. Archives of Civil Engineering, 66(1):241-255.

[30]KraśkiewiczC, ZbiciakA, Al Sabouni-ZawadzkaA, et al., 2021. Analysis of the influence of fatigue strength of prototype under ballast mats (UBMs) on the effectiveness of protection against vibration caused by railway traffic. Materials, 14(9):2125.

[31]KraśkiewiczC, ZbiciakA, Al Sabouni-ZawadzkaA, et al., 2022. Resistance to severe environmental conditions of prototypical recycling-based under ballast mats (UBMs) used as vibration isolators in the ballasted track systems. Construction and Building Materials, 319:126075.

[32]LimWL, McDowellGR, 2005. Discrete element modelling of railway ballast. Granular Matter, 7(1):19-29.

[33]LimWL, McDowellGR, CollopAC, 2004. The application of Weibull statistics to the strength of railway ballast. Granular Matter, 6(4):229-237.

[34]LiuGZ, LiP, WangP, et al., 2021. Study on structural health monitoring of vertical vibration of ballasted track in high-speed railway. Journal of Civil Structural Health Monitoring, 11(2):451-463.

[35]LiuGZ, CongJL, WangP, et al., 2022. Study on vertical vibration and transmission characteristics of railway ballast using impact hammer test. Construction and Building Materials, 316:125898.

[36]LiuH, LiuG, WeiXK, et al., 2021. Research on railway ballast with the optimal sphere filling by using discrete element model. IOP Conference Series: Earth and Environmental Science, 676:012092.

[37]LuM, McDowellGR, 2006. Discrete element modelling of ballast abrasion. Géotechnique, 56(9):651-655.

[38]LuoR, ZengYW, DuX, 2012. Relationship between macroscopic and mesoscopic mechanical parameters of inhomogenous rock material. Chinese Journal of Geotechnical Engineering, 34(12):2331-2336 (in Chinese).

[39]MassonS, MartinezJ, 2001. Micromechanical analysis of the shear behavior of a granular material. Journal of Engineering Mechanics, 127(10):1007-1016.

[40]MindlinRD, 1949. Compliance of elastic bodies in contact. Journal of Applied Mechanics, 16(3):259-268.

[41]MindlinRD, DeresiewiczH, 1953. Elastic spheres in contact under varying oblique forces. Journal of Applied Mechanics, 20(3):327-344.

[42]NakataAFL, HydeM, HyodoH, et al., 1999. A probabilistic approach to sand particle crushing in the triaxial test. Géotechnique, 49(5):567-583.

[43]NRA (National Railway Administration of the People’s Republic of China), 2018. Railway Ballast, TB/T 2140-2018. National Standards of the People’s Republic of China(in Chinese).

[44]NicotF, HaddaN, GuessasmaM, et al., 2013. On the definition of the stress tensor in granular media. International Journal of Solids and Structures, 50(14-15):2508-2517.

[45]ShengX, ZhaoCY, YiQ, et al., 2018. Engineered metabarrier as shield from longitudinal waves: band gap properties and optimization mechanisms. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 19(9):663-675.

[46]WangB, MartinU, RappS, 2017. Discrete element modeling of the single-particle crushing test for ballast stones. Computers and Geotechnics, 88:61-73.

[47]WangZJ, JingGQ, YuQF, et al., 2015. Analysis of ballast direct shear tests by discrete element method under different normal stress. Measurement, 63:17-24.

[48]XiaoJL, LiuGZ, LiuJX, et al., 2019. Parameters of a discrete element ballasted bed model based on a response surface method. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 20(9):685-700.

[49]XuY, 2016. Mechanical Behavior and Deterioration Mechanism Research on Railway Ballast Bed. PhD Thesis, Beijing Jiaotong University, Beijing, China(in Chinese).

[50]XuY, GaoL, YangGT, et al., 2019. Research of wear mechanism of railway ballast based on crushable discrete element. Journal of the China Railway Society, 41(2):‍‍124-129.

[51]YoonJ, 2007. Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. International Journal of Rock Mechanics and Mining Sciences, 44(6):871-889.

[52]YouMQ, 2014. Effect of confining pressure on strength scattering of rock specimen. Chinese Journal of Rock Mechanics and Engineering, 33(5):929-937 (in Chinese).

[53]ZhaoSW, ZhouXW, 2017. Effects of particle asphericity on the macro- and micro-mechanical behaviors of granular assemblies. Granular Matter, 19(2):38.

[54]ZhaoZM, WeiK, RenJJ, et al., 2021. Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 22(1):37-52.

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