矩形钢管混凝土受弯构件材料本构关系与失效判据研究
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摘要
为了正确评估矩形钢管混凝土(CFST)受弯构件的承载力,提出钢管和核心混凝土材料本构关系的修正模型,建立CFST受弯构件的承载力失效判据。首先,考虑受拉区钢管双轴受拉有利应力状态及受压区钢管双轴拉压不利应力状态,并基于矩形CFST轴压短柱试验数据库,通过回归分析建立约束混凝土峰值应力表达式,在此基础上建立矩形钢管混凝土材料本构关系的修正模型。其次,基于构件承载能力极限状态,并合理考虑受拉区钢管的应变强化段,提出矩形CFST受弯构件的承载力失效判据。最后依据纤维模型法和试验数据库对比分析CFST受弯构件的不同材料本构关系和失效判据的精度及适用性。结果表明,所建立的CFST构件材料本构关系和承载力失效判据能够更加准确地反映矩形CFST构件的抗弯能力,具有更高的计算精度和广泛的适用性。
In order to evaluate the ultimate bearing capacity of rectangular concrete-filled steel tube(CFST) members under pure bending, the modified constitutive relations were proposed for steel tube and core concrete, and the bearing capacity failure criterion was developed. Firstly, by taking into account the favorable biaxial tensile state of the steel tube in tension zone and the unfavorable biaxial compressive-tensile state of the steel tube in compression zone, the modified constitutive relations were developed for steel tube. Then, the test database of short rectangular CFST members under axial compression was adopted to obtain the peak stress expression by means of regression analysis, and the modified constitutive relation of core concrete was presented. Moreover, taking into consideration the strain hardening of steel in tension zone, the bearing capacity failure criterion was defined based on the limit state of ultimate loading capacity. Finally, the accuracy and applicability of different constitutive relations and failure criterions were verified by means of the test database and the fiber model method. Results show that the proposed constitutive relations and failure criterion can lead to higher accuracy with wide range of application for the bending capacity of rectangular CFST members under pure bending.
In order to evaluate the ultimate bearing capacity of rectangular concrete-filled steel tube(CFST) members under pure bending, the modified constitutive relations were proposed for steel tube and core concrete, and the bearing capacity failure criterion was developed. Firstly, by taking into account the favorable biaxial tensile state of the steel tube in tension zone and the unfavorable biaxial compressive-tensile state of the steel tube in compression zone, the modified constitutive relations were developed for steel tube. Then, the test database of short rectangular CFST members under axial compression was adopted to obtain the peak stress expression by means of regression analysis, and the modified constitutive relation of core concrete was presented. Moreover, taking into consideration the strain hardening of steel in tension zone, the bearing capacity failure criterion was defined based on the limit state of ultimate loading capacity. Finally, the accuracy and applicability of different constitutive relations and failure criterions were verified by means of the test database and the fiber model method. Results show that the proposed constitutive relations and failure criterion can lead to higher accuracy with wide range of application for the bending capacity of rectangular CFST members under pure bending.
引文
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[2]Gho W M, Liu D L. Flexural behaviour of high-strength rectangularconcrete-filledsteelhollowsections[J].JournalofConstructionalSteelResearch,2004,60(11):1681-1696
[3]UyB.Strengthofconcretefilledsteelboxcolumns incorporatinglocalbuckling[J].JournalofStructural Engineering, 2000, 126(3):341-352
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[5]郭兰慧,张素梅,王玉银.方形?矩形钢管高强混凝土受弯构件的理论分析与试验研究[J].钢结构,2002,17(6):29-33(GuoLanhui,ZhangSumei,WangYuyin.Experimentalresearchandtheoreticalanalysison flexural behavior of high-strength concrete-filled square and rectangular steel tubes[J]. Steel Construction, 2002,17(6):29-33(in Chinese))
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[7]李斌,闻洋.矩形钢管混凝土梁受弯性能试验研究[J].建筑结构,2010,40(6):51-52,80(LiBin,WenYang.Studyonmechanicalpropertiesofconcrete-filled rectangularsteeltubebeams[J].BuildingStructure,2010, 40(6):51-52, 80(in Chinese))
[8]LuYQ,KennedyDJL.Theflexuralbehaviourof concrete-filledhollowstructuralsections[J].Canadian Journal of Civil Engineering, 1994, 21(1):111-130
[9]Tomii M, Sakino K. Elasto-plastic behaviour of concrete filledsquaresteeltubularbeam-columns[J].TransactionsoftheArchitecturalInstituteofJapan,1979(280):111-120
[10]UyB.Strengthofshortconcretefilledhighstrength steelboxcolumns[J].JournalofConstructionalSteel Research, 2001, 57(2):113-134
[11]LaiZ,VarmaAH.Effectivestress-strainrelationships for analysis of noncompact and slender filled composite(CFT)members[J].EngineeringStructures,2016124(1):457-472
[12]韩林海.钢管混凝土结构—理论与实践[M].北京:科学出版社,2016(HanLinhai.Concretefilledstee tubularstructures—theoryandpractice[M].Beijing Science Press, 2016(in Chinese))
[13]LiangQQ.Performance-basedanalysiso concrete-filledsteeltubularbeam-columns,partI theoryandalgorithms[J].JournalofConstructiona Steel Research, 2009, 65(2):363-372
[14]钟善桐.钢管混凝土结构[M].北京:清华大学出版社2003(ZhongShantong.Concrete-filledsteeltubula structures[M]. Beijing:Tsinghua University Press, 2003(in Chinese))
[15]李黎明,姜忻良,陈志华,等.矩形钢管混凝土抗弯性能数值分析与简化计算[J].天津大学学报,200740(8):990-994(Li Liming, Jiang Xinliang, Chen Zhihua etal.NumericalanalysisofCFRTunderbendingload anditssimplifiedcalculatingmethod[J].Journalo Tianjin University, 2007, 40(8):990-994(in Chinese))
[16]蔡健,龙跃凌.带约束拉杆矩形钢管混凝土的本构关系[J].工程力学, 2008, 25(2):137-143(Cai Jian, Long Yueling.ConstitutiverelationshipofrectangularCFT columnswithbindingbars[J].EngineeringMechanics2008, 25(2):137-143(in Chinese))
[17]HajjarJF,GourleyBC.Representationo concrete-filledsteeltubecross-sectionstrength[J]JournalofStructuralEngineering,1996,122(11)1327-1336
[18]唐广青,肖岩,张倚天.方钢管混凝土轴压短柱承载力与全曲线综述研究[J].工程力学,2015,32(8)103-111(TangGuangqing,XiaoYan,ZhangYitian Studyofbearingcapacityandcompletestress-strain curvesforconcretefilledsquaresteel tubecolumns[J]EngineeringMechanics,2015,32(8):103-111(in Chinese))
[19]GB50936—2014钢管混凝土结构技术规范[S].北京中国建筑工业出版社,2014(GB50936—2014Technicalcodeforconcretefilledsteeltubula structures[S].Beijing:ChinaArchitecture&Building Press, 2014(in Chinese))
[20]DBJ/T13—51钢管混凝土结构技术规程[S].福州:福建省住房和城乡建设厅,2010(DBJ13—51Technica specificationforconcrete-filledsteeltubularstructures[S].Fuzhou:FujianProvincialDepartmentofHousing and Urban-Rural Development, 2010(in Chinese))
[21]CECS159矩形钢管混凝土结构技术规程[S].北京中国计划出版社,2004(CECS159Technica specificationforstructureswithconcrete-filled rectangularsteeltubemembers[S].Beijing:China Planning Press, 2004(in Chinese))
[22]ANSI/AISC360Specificationforstructuralstee buildings[S].Chicago,USA:AmericanInstituteo Steel Construction, 2010
[23]Eurocode4Designofcompositesteelandconcrete structures[S].Brussels:EuropeanCommitteefo Standardization, 2004
[24]李四平,霍达,王菁,等.偏心受压方钢管混凝土柱极限承载力的计算[J].建筑结构学报,1998,19(1):41-51(LiSiping,HuoDa,WangJing,etal.Ultimate strengthofconcretefilledsquaresteeltubularcolumns undereccentriccompression[J].JournalofBuilding Structures, 1998, 19(1):41-51(in Chinese))
[25]LiuDL.Behaviourofeccentricallyloaded high-strengthrectangularconcrete-filledsteeltubular columns[J].JournalofConstructionalSteelResearch,2006, 62(8):839-846
[26]TaoZ,WangXQ,UyB.Stress-straincurvesof structuralandreinforcingsteelsafterexposureto elevatedtemperatures[J].JournalofMaterialsinCivil Engineering, 2013, 25(9):1306-1316
[27]VecchioFJ,CollinsMP.Themodified compression-fieldtheoryforreinforcedconcrete elementssubjectedtoshear[J].ACIStructuralJournal,1986, 83(2):219-231
[28]沈聚敏,王传志,江见鲸.钢筋混凝土有限元与板壳极限分析[M].北京:清华大学出版社,1993(Shen Jumin,WangChuanzhi,JiangJianjing.Finiteelement analysisofreinforcedconcreteandlimitanalysisof plate and shell[M]. Beijing:Tsinghua University Press,1993(in Chinese))
[29]余志武,丁发兴.混凝土受压力学性能统一计算方法[J].建筑结构学报,2003,24(4):41-46(YuZhiwu,Ding Faxing. Unified calculation method of compressive mechanicalpropertiesofconcrete[J].Journalof Building Structures, 2003, 24(4):41-46(in Chinese))
[30]陈肇元,朱金铨,吴佩刚.高强混凝土及其应用[M].北京:清华大学出版社,1992(ChenZhaoyuan,Zhu Jinquan,WuPeigang.High-strengthconcreteandits applications[M].Beijing:TsinghuaUniversityPress,1992(in Chinese))
[31]HanLH.Testsonstubcolumnsofconcrete-filledrhs sections[J].JournalofConstructionalSteelResearch,2002, 58(3):353-372
[32]尧国皇.钢管混凝土构件在复杂受力状态下的工作机理研究[D].福建:福州大学,2006(YaoGuohuang.Researchonbehaviorofconcrete-filledsteeltubes subjectedtocomplicatedloadingstates[D].Fujian:Fuzhou University, 2006(in Chinese))
[33]陶忠.方形截面钢管混凝土力学性能研究及承载力的理论分析与试验研究[D].哈尔滨:哈尔滨建筑大学,1998
[34]Shakir-khalilH,ZeghicheJ.Experimentalbehaviourof concrete-filledrolledrectangularhollow-section columns[J]. Structural Engineer, 1989, 67(19):343-353
[35]Shakir-khalilH,MouliM.Furthertestson concrete-filledrectangularhollow-sectioncolumns[J].Structural Engineer, 1990, 68(20):405-413
[36]周明.方钢管混凝土构件力学性能研究[D].哈尔滨:哈尔滨工业大学, 2000
[37]吕西林,余勇,陈以一,等.轴心受压方钢管混凝土短柱的性能研究:I试验[J].建筑结构,1999(10):41-43
[38]贺锋,周绪红,唐昌辉.钢管高强混凝土轴压短柱承载力性能的试验研究[J].工程力学, 2000, 17(4):61-66(HeFeng,ZhouXuhong,TangChanghui.Experimental researchonbearingbehaviorofhigh-strength-concretefilledsteeltubeunderaxialcompression[J].EngineeringMechanics,2000,17(4):61-66(in Chinese))
[39]郎,杨志坚,蒋连接.方钢管高强混凝土短柱轴压试验研究[J].低温建筑技术,2011,33(11):42-45(LangYan,YangZhijian,JiangLianjie.Experimental studyofhighstrengthCFSSTstubcolumnsunderaxial compressionload[J].LowTemperatureArchitecture Technology, 2011, 33(11):42-45(in Chinese))
[40]DennisL,LeroyG.Structuraldesignofstainlesssteel concretefilledcolumns[J].JournalofConstructional Steel Research, 2008, 64(11):1275-1282
[41]LiuDL,GhoWM,YuanJ.Ultimatecapacityof high-strengthrectangularconcrete-filledsteelhollow section stub columns[J]. Journal of Constructional Steel Research, 2003, 59(12):1499-1515
[42]LiuDL.Testsonhigh-strengthrectangular concrete-filledsteelhollowsectionstubcolumns[J].JournalofConstructionalSteelResearch,2005,61(7):902-911
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