混凝土塑性损伤模型在无砟轨道非线性分析中的应用
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摘要
为满足无砟轨道非线性损伤分析及长期服役性能研究的需求,基于混凝土塑性损伤本构理论和CA砂浆劈裂抗拉试验结果,建立可考虑无砟轨道各组成结构材料非线性损伤的有限元分析模型。主要考虑温度和列车荷载作用,对比分析塑性损伤模型与线弹性模型对计算结果的影响。结果表明:当无砟轨道结构的受力变形较小时,非线性塑性损伤模型与线弹性模型的计算结果相差不大;当无砟轨道升温幅度超过30℃、正温度梯度超过60℃/m或列车荷载大于225 kN时,两种模型的计算结果开始产生差异且随着荷载的增大而不断扩大。配筋的塑性损伤模型与现场实际结构和材料属性较为相符,可为无砟轨道非线性分析、塑性变形及损伤累积效应分析、长期服役性能研究等提供参考。
In order to meet the requirements for the analysis of ballastless track non-linear damage and long-term service performance, based on the damage plastic constitutive theory of concrete and the results of splitting tensile test of CA mortar, a finite element analysis model considering the non-linear damage of ballastless track components was established. The calculation results of the plastic damage model and the linear elastic model under the action of temperature and train load were analyzed and compared. The results show that the nonlinear plastic damage model is basically consistent with the linear elastic model when the stress and deformation of the ballastless track structure are minor. When the temperature of ballastless track rises over 30 ℃, and the positive temperature gradient exceeds 60 ℃/m or the train load is more than 225 kN, the calculation results of the two models begin to differ and the difference expands with the increase of the load. The plastic damage model with reinforcement in this paper is consistent with the actual structure and material properties in the field. It can be used as a reference for the non-linear analysis of ballastless track, cumulative effect analysis of plastic deformation and damage, and the study of long-term service performance of ballastless track.
In order to meet the requirements for the analysis of ballastless track non-linear damage and long-term service performance, based on the damage plastic constitutive theory of concrete and the results of splitting tensile test of CA mortar, a finite element analysis model considering the non-linear damage of ballastless track components was established. The calculation results of the plastic damage model and the linear elastic model under the action of temperature and train load were analyzed and compared. The results show that the nonlinear plastic damage model is basically consistent with the linear elastic model when the stress and deformation of the ballastless track structure are minor. When the temperature of ballastless track rises over 30 ℃, and the positive temperature gradient exceeds 60 ℃/m or the train load is more than 225 kN, the calculation results of the two models begin to differ and the difference expands with the increase of the load. The plastic damage model with reinforcement in this paper is consistent with the actual structure and material properties in the field. It can be used as a reference for the non-linear analysis of ballastless track, cumulative effect analysis of plastic deformation and damage, and the study of long-term service performance of ballastless track.
引文
[1] 杨荣山,刘克飞,任娟娟,等.砂浆伤损对轮轨系统动力特性的影响研究[J].铁道学报,2014,36(7):79-84.YANG Rongshan,LIU Kefei,REN Juanjuan,et al.Research on Effect of Cement Asphalt Mortar Damages on Dynamic Characteristics of Wheel-rail System[J].Journal of the China Railway Society,2014,36(7):79-84.
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[13] 傅强,谢友均,郑克仁,等.CRTSⅡ型水泥乳化沥青砂浆力学性能的应变率效应及模型[J].硅酸盐学报,2014,42(8):989-995.FU Qing,XIE Youjun,ZHENG Keren,et al.Strain Rate Effect and Modeling of Mechanical Properties of CRTSⅡ Type Cement and Asphalt Mortar[J].Journal of the Chinese Ceramic Society,2014,42(8):989-995.
[14] 白卫峰.混凝土统计损伤力学[M].北京:中国水利水电出版社,2015:56-70.
[15] 唐欣薇,秦川,张楚汉.基于细观力学的混凝土类材料破损分析[M].北京:中国建筑工业出版社,2012:35-40.
[16] 中华人民共和国铁道部.TB 10015—2012 铁路无缝线路设计规范[S].北京:中国铁道出版社,2013.
[17] 铁道第三勘察设计院集团有限公司.TB 10621—2009高速铁路设计规范[S].北京:中国铁道出版社,2009.
[2] 刘付山,曾志平,吴斌.施工过程中CRTSⅡ型轨道板竖向上拱变形研究[J].铁道工程学报,2015,32(1):55-60.LIU Fushan,ZENG Zhiping,WU Bin.Research on the CRTSⅡ Slab Ballastless Track Buckling Deformation in the Process of Construction[J].Joural of Railway Engineering Society,2015,32(1):55-60.
[3] 林红松,李培刚,颜华,等.列车荷载下考虑道床裂纹的无砟轨道受力特性[J].西南交通大学学报,2010,45(6):904-908.LIN Hongsong,LI Peigang,YAN Hua,et al.Mechanical Analysis of Ballastless Track with Damaged Cracks under Train Load[J].Joural of Southwest Jiaotong University,2010,45(6):904-908.
[4] 王明昃,蔡成标,朱胜阳,等.基于黏聚力模型的双块式无砟轨道混凝土层间黏结性能试验与分析[J].铁道学报,2016,38(11):88-94.WANG Mingze,CAI Chengbiao,ZHU Shengyang,et al.Experimental Investigation on Adhesive Performance of Concrete Interface of Double-block Ballastless Track Based on Cohesive Zone Model[J].Journal of the China Railway Society,2016,38(11):88-94.
[5] 徐庆元,林青腾,方子匀,等.组合荷载下桥上纵连板式无砟轨道疲劳特性[J].中国铁道科学,2017,38(6):37-46.XU Qingyuan,LIN Qingteng,FANG Ziyun,et al.Fatigue Characteristics of Longitudinally Connected Slab Ballastless Track on Bridge under Combined Load[J].China Railway Science,2017,38(6):37-46.
[6] EDALAT-BEHBAHANI A,BARROS J A O,VENTURA-GOUVEIA A.Application of Plastic-damage Multidirectional Fixed Smeared Crack Model in Analysis of RC Structures[J].Engineering Structures,2016,125:374-391.
[7] KUERES D,STARK A,HERBRAND M,et al.Finite Element Simulation of Concrete with a Plastic Damage Model-basic Studies on Normal Strength Concrete and UHPC[J].Bauingenieur,2015,90(6):252-264.
[8] JEFFERSON A D,MIHAI I C,TENCHEV R,et al.A Plastic-damage-contact Constitutive Model for Concrete with Smoothed Evolution Functions[J].Computers & Structures,2016,169:40-56.
[9] 周洋,向俊,余翠英,等.温度荷载作用下高速铁路无砟轨道伤损反演分析[J].铁道科学与工程学报,2016,13(1):1-8.ZHOU Yang,XIANG Jun,YU Cuiying,et al.Inversion Analysis of Damage of Ballastless Track in High-speed Railway under Temperature Loads[J].Journal of Railway Science and Engineering,2016,13(1):1-8.
[10] 朱胜阳,蔡成标.温度和列车动荷载作用下双块式无砟轨道道床板损伤特性研究[J].中国铁道科学,2012,33(1):6-12.ZHU Shengyang,CAI Chengbiao.Research on the Damage Characteristics of Double-block Ballastless Track Bed Slab under Temperature and Vehicle Dynamic Loads[J].China Railway Science,2012,33(1):6-12.
[11] 中华人民共和国住房和城乡建设部.GB 50010—2010 混凝土结构设计规范[S].北京:中国建筑工业出版社,2011.
[12] 任晓丹,李杰.混凝土损伤与塑性变形计算[J].建筑结构,2015,45(2):29-32.REN Xiaodan,LI Jie.Calculation of Concrete Damage and Plastic Deformation[J].Building Structure,2015,45(2):29-32.
[13] 傅强,谢友均,郑克仁,等.CRTSⅡ型水泥乳化沥青砂浆力学性能的应变率效应及模型[J].硅酸盐学报,2014,42(8):989-995.FU Qing,XIE Youjun,ZHENG Keren,et al.Strain Rate Effect and Modeling of Mechanical Properties of CRTSⅡ Type Cement and Asphalt Mortar[J].Journal of the Chinese Ceramic Society,2014,42(8):989-995.
[14] 白卫峰.混凝土统计损伤力学[M].北京:中国水利水电出版社,2015:56-70.
[15] 唐欣薇,秦川,张楚汉.基于细观力学的混凝土类材料破损分析[M].北京:中国建筑工业出版社,2012:35-40.
[16] 中华人民共和国铁道部.TB 10015—2012 铁路无缝线路设计规范[S].北京:中国铁道出版社,2013.
[17] 铁道第三勘察设计院集团有限公司.TB 10621—2009高速铁路设计规范[S].北京:中国铁道出版社,2009.
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