考虑棱角精度的黏结块道砟模型精细建模研究Refined modeling of bonded block ballast models considering angular accuracy
李世恩,王学军,姚星
摘要(Abstract):
为解决道砟数值模型形态还原度不足、破碎响应模拟与真实情况偏差较大,且道砟模型精度缺乏量化标准的问题,提出一种几何形态与破碎行为均贴合真实道砟的精细道砟建模方法。在PFC中建立由刚性子块体黏接而成的黏结块道砟模型,基于道砟宏观形态与棱角度特征,提出模型精度量化方法,通过分析建模参数对道砟模型精度的影响划定合理参数范围,确定建模核心参数,并借助单轴压缩离散元仿真验证模型。结果表明:所建立的黏结块道砟模型可以较好地还原真实道砟的包括棱角在内的几何形态;道砟模型精度量化考虑了道砟宏观形态精度、道砟二维轮廓面积重合度以及棱角度等指标,当子块体相对最小尺寸R_s为0.2、相对最大尺寸R_b为0.5且接触腐蚀因子η为0.02时,道砟模型精度基本能达到95%且可平衡道砟模型精度与计算效率;单轴压缩仿真中,道砟模型的力-位移曲线特征、破碎形式均与真实试验高度吻合,并从细观角度分析了道砟破碎的演化过程;相较于传统球簇道砟模型,黏结块道砟模型能更准确地还原道砟的单点接触、应力集中及裂纹扩展。为道砟的精细建模提供了新思路。
关键词(KeyWords): 道砟建模;黏结块道砟模型;精度量化;棱角度;道砟破碎
基金项目(Foundation): 国家自然科学基金(52665012;52165013,51565021)
作者(Author): 李世恩,王学军,姚星
参考文献(References):
- [1] 雷晓燕.高速列车对道碴的动力响应[J].铁道学报,1997,19(1):114-121.Lei Xiaoyan.Dynamic response of high speed train on ballast[J].Journal of the China Railway Society,1997,19(1):114-121.
- [2] 高亮,徐旸,杨国涛,等.铁路有砟道床劣化研究进展综述[J].铁道学报,2022,44(8):78-92.Gao Liang,Xu Yang,Yang Guotao,et al.Review of research of railway ballast bed deterioration[J].Journal of the China Railway Society,2022,44(8):78-92.
- [3] 高建敏,翟婉明.铁路有砟轨道下沉破坏研究进展[J].铁道学报,2008,30(5):97-104.Gao Jianmin,Zhai Wanming.Advance in track settlement destruction of ballasted railway track[J].Journal of the China Railway Society,2008,30(5):97-104.
- [4] 刘洋,李旭,吴琼,等.单一粒径组碎石道砟颗粒破碎规律试验研究[J] .铁道学报,2023,45(2) :100-107.LIU Yang,LI Xu,WU Qiong,et al.Experimental study on the particle breakage characteristics of single-size crushed stone ballast[J] .Journal of the China Railway Society,2023,45(2):100-107.
- [5] 陈成,林晓东,罗启天,等.道砟-软枕垫相互作用的离散元-柔性体耦合分析[J].土木工程学报,2023,56(S2):149-156,169.Chen Cheng,Lin Xiaodong,Luo Qitian,et al.Interaction between ballast and shock pad using DEM-MFBD coupled method[J].China Civil Engineering Journal,2023,56(S2):149-156,169.
- [6] Zhao L H,Huang D L,Dan H C,et al.Reconstruction of granular railway ballast based on inverse discrete Fourier transform method [J].Granular Matter,2017,19(4):74.
- [7] 李旭,王鹏程,敖国栋,等.多边形道砟颗粒堆积和压缩特性的 DDA数值模拟研究[J].铁道学报,2014,36(4):71-75.Li Xu,Wang Pengcheng,Ao Guodong,et al.Stacking and compaction process of polygon ballast particles simulated by DDA method[J].Journal of the China Railway Society,2014,36(4):71-75.
- [8] 杜欣.真实道砟颗粒的离散元建模及惯性特性优化[J].铁道学报,2014,36(2):95-102.Du Xin.DEM modelling and inertia optimization of real ballast granules[J].Journal of the China Railway Society,2014,36(2):95-102.
- [9] 孙珊珊,严颖,赵春发,等.往复荷载下铁路道砟沉降特性的扩展多面体离散元分析[J].铁道学报,2015,37(11):89-95.Sun Shanshan,Yan Ying,Zhao Chunfa,et al.Dilated polyhedral discrete element analysis of settlement characteristics of railway ballast under cyclic loading[J].Journal of the China Railway Society,2015,37(11):89-95.
- [10] Li H Q,McDowell G.Discrete element modelling of two-layered ballast in a box test[J].Granular Matter,2020,22(4):76.
- [11] 徐旸,高亮,杨国涛,等.基于可破碎离散单元的铁路碎石道砟磨耗机制研究[J].铁道学报,2019,41(2):124-129.Xu Yang,Gao Liang,Yang Guotao,et al.Research of wear mechanism of railway ballast based on crushable discrete element[J].Journal of the China Railway Society,2019,41(2):124-129.
- [12] Ji S,Sun S,Yan Y.Discrete element modeling of dynamic behaviors of railway ballast under cyclic loading with dilated polyhedra[J].International Journal for Numerical and Analytical Methods in Geomechanics,2017,41(2):180-197.
- [13] Lu R,Luo Q,Wang T F,et al.Comparison of clumps and rigid blocks in three-dimensional DEM simulations:curvature-based shape characterization[J].Computers and Geotechnics,2022,151:104991.
- [14] Fang C F,Gong J,Nie Z H,et al.DEM study on the microscale and macroscale shear behaviours of granular materials with breakable and irregularly shaped particles[J].Computers and Geotechnics,2021,137:104271.
- [15] Kodicherla S P K.Discrete element modelling of granular materials incorporating realistic particle shapes[J] .International Journal of Geo-engineering,2023,14(1):1-14.
- [16] Tolomeo M,McDowell G R.Modelling real particle shape in DEM:a comparison of two methods with application to railway ballast[J].International Journal of Rock Mechanics and Mining Sciences,2022,159:105221.
- [17] 王威,张田爽,汪佳豪,等.基于真实几何特征的碎石道砟颗粒形态重构[J].铁道学报,2023,45(12):165-173.Wang Wei,Zhang Tianshuang,Wang Jiahao,et al.Reconstruction of particle shape of railway ballast based on real geometric characteristics[J].Journal of the China Railway Society,2023,45(12):165-173.
- [18] Wang X J,Yang H X,Xiong X B,et al.Ballast particle modeling method based on Rblock and DEM numerical simulation of single particle crushing[J].Construction and Building Materials,2025,474:141052.
- [19] Chen J,Indraratna B,Vinod J S,et al.Discrete element modelling of the effects of particle angularity on the deformation and degradation behaviour of railway ballast[J] .Transportation Geotechnics,2023,43:101154.
- [20] Hu X L,Zhang H,Boldini D,et al.3D modelling of soil-rock mixtures considering the morphology and fracture characteristics of breakable blocks[J].Computers and Geotechnics,2021,132:103985.
- [21] Tolomeo M,McDowell G R.Dem study of an avatar rai1way ba11ast with rea1 partic1e shape fabric and contact mechanics[J] .Granular Matter,2023,25(2):32.
- [22] 严颖,赵春发,李勇俊,等.铁路道砟破碎特性的离散元分析[J].计算力学学报,2017,34(5):615-622.Yan Ying,Zhao Chunfa,Li Yongjun,et al.Discrete element analysis of breakage characteristics of railway ballast[J].Chinese Journal of Computational Mechanics,2017,34(5):615-622.
- [23] Suhr B,Six K.Simple particle shapes for DEM simulations of railway ballast:influence of shape descriptors on packing behaviour[J].Granular Matter,2020,22(2):43.
- [24] Azéma E,Radjai F,Saussine G.Quasistatic rheology,force transmission and fabric properties of a packing of irregular polyhedral particles[J].Mechanics of Materials,2009,41(6):729-741.
- [25] Rao C,Tutumluer E.Determination of volume of aggregates:new image-analysis approach[J].Transportation Research Record:Journal of the Transportation Research Board,2000,1721(1):73-80.
- [26] 周陶勇,夏建军,许平.道砟颗粒二维廓形对破碎的影响研究[J].公路交通科技,2022,39(11):56-61.Zhou Taoyong,Xia Jianjun,Xu Ping.Study on influence of railway ballast 2D profile on crushing[J].Journal of Highway and Transportation Research and Development,2022,39(11):56-61.
- [27] 高亮,徐旸.离散元-有限差分耦合法在铁路有砟道床研究中的应用[J].北京交通大学学报,2016,40(4):37-44.Gao Liang,Xu Yang.Application of coupled discrete element-finite difference method in railway ballast bed research[J].Journal of Beijing Jiaotong University,2016,40(4):37-44.
- [28] 王学军,杨瀚雄.基于GA-BP神经网络模型的道砟颗粒离散元破碎参数预测[J].西南交通大学学报,60(6):1593-1602.Wang Xuejun,Yang Hanxiong.Prediction of discrete element crushing parameters of ballast particles based on GA-BP neural network model[J].Journal of Southwest Jiaotong University,60(6):1593-1602.
- [29] 徐旸.铁路有砟道床力学特性及劣化机理研究[D].北京:北京交通大学,2016.Xu Yang.Mechanical behavior and deterioration mechanism research on railway ballast bed[D].Beijing:Beijing Jiaotong University,2016.
- [30] 许永贤.铁路碎石道砟[M] .北京:中国铁道出版社,2008.Xu Yongxian.Railway ballast[M] .Beijing:China Railway Publishing House,2008.
- [31] 苏栋,樊猛,王翔,等.非规则颗粒形态表征与离散元模拟方法研究[J].中国科学:技术科学,2023,53(11):1847-1870.Su Dong,Fan Meng,Wang Xiang,et al.Research on morphological characterization and discrete element modeling of irregular particles[J].Scientia Sinica (Technologica),2023,53(11):1847-1870.
- [32] 赵仕威,周小文,刘文辉,等.考虑颗粒棱角影响的直剪试验的离散元模拟[J].岩土力学,2015,36(S1):602-608.Zhao Shiwei,Zhou Xiaowen,Liu Wenhui,et al.DEM simulation of direct shear tests considering particle angularity effect[J].Rock and Soil Mechanics,2015,36(S1):602-608.
- [33] Wang L B,Wang X R,Mohammad L,et al.Unified method to quantify aggregate shape angularity and texture using Fourier analysis[J].Journal of Materials in Civil Engineering,2005,17(5):498-504.
- [34] Zheng S,Liu Y,Zhang N,et al.Experimental Studies on Shape and Size Effects on Particle Breakage of Railway Ballast[J] .Transportation Geotechnics,2022,37:100883.
- [35] Gao R,Yuan Z W,Hu Q H,et al.Ballast crushing probability model considering the influence of particle morphology and size[J].Granular Matter,2024,26(2):45.
- [36] 王尕平,高士博,周文凯,等.道砟模型精度对离散元模拟结果的影响[J].大连交通大学学报,2024,45(4):83-88.Wang Gaping,Gao Shibo,Zhou Wenkai,et al.Influence of ballast model accuracy on discrete element simulations[J].Journal of Dalian Jiaotong University,2024,45(4):83-88.
- [37] Zhang J,Nie R S,Li Y,et al.Random generation of three-dimensional realistic ballast particles using generative adversarial networks[J].Computers and Geotechnics,2025,178:106923.