ABAQUS显式分析梁单元的混凝土、钢筋本构模型
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摘要
目的为准确模拟地震作用下钢筋混凝土梁柱构件的弹塑性受力特性,解决ABAQUS软件显式分析模块缺乏用于三维梁单元的混凝土本构模型及钢筋本构模型的问题.方法采用的混凝土单轴本构模型考虑了箍筋对混凝土的约束影响以及混凝土裂面效应的影响,钢筋单轴本构模型合理考虑了Bauschinger效应,利用ABAQUS用户子程序接口VUMAT进行二次开发,编制了用于显式动力分析的梁单元混凝土、钢筋本构模型的计算程序,并对往复荷载下钢筋混凝土柱受力性能进行了数值模拟.结果通过与ABAQUS自带的钢筋本构模型对比,验证了采用笔者给出的混凝土与钢筋本构模型能够较好地反映钢筋混凝土柱在低周往复荷载作用下的滞回性能以及双向弯曲耦合性能.结论数值模拟结果与试验结果吻合良好.笔者开发的混凝土、钢筋本构模型能够用于混凝土梁柱构件在复杂受力状态下的动力非线性响应分析.
There is no concrete constitutive model and reasonable steel constitutive model in the explicit analysis module of ABAQUS for spatial beam element.In this paper,the uniaxial constitutive model of concrete and steel is established in order to precisely simulate the nonlinear performance of RC column-beam members under seismic loads.The restraint effect of stirrup and the crack surface effect of concrete are included in the purposed concrete constitutive model.Bauschinger effect is also considered in the uniaxial constitutive model of steel.The material subroutines of these models are simultaneously developed and applied to the explicit dynamic module of ABAQUS by means of user-defined subroutine interface(VUMAT).In addition,the hysteretic performance of RC columns under cyclic loading is numerically simulated.Compared with the steel constitutive model of ABAQUS,the results show that the model of this paper can more rightly simulate the hysteretic performance of RC columns under the multiaxial load.Especially the biaxial bending coupling effect of the speciments is analyzed accurately.The established models can meet the demand for analyzing the nonlinear dynamic response of RC column-beam element under the multiaxial loading conditions.
There is no concrete constitutive model and reasonable steel constitutive model in the explicit analysis module of ABAQUS for spatial beam element.In this paper,the uniaxial constitutive model of concrete and steel is established in order to precisely simulate the nonlinear performance of RC column-beam members under seismic loads.The restraint effect of stirrup and the crack surface effect of concrete are included in the purposed concrete constitutive model.Bauschinger effect is also considered in the uniaxial constitutive model of steel.The material subroutines of these models are simultaneously developed and applied to the explicit dynamic module of ABAQUS by means of user-defined subroutine interface(VUMAT).In addition,the hysteretic performance of RC columns under cyclic loading is numerically simulated.Compared with the steel constitutive model of ABAQUS,the results show that the model of this paper can more rightly simulate the hysteretic performance of RC columns under the multiaxial load.Especially the biaxial bending coupling effect of the speciments is analyzed accurately.The established models can meet the demand for analyzing the nonlinear dynamic response of RC column-beam element under the multiaxial loading conditions.
引文
[1]中华人民共和国建设部.GB50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.(Ministry of Construction P.R.C.GB50011-2010Code for Seismic design of Building[S].Beijing:China Building Industry Press,2010.)
[2]中国建筑科学研究院.JGJ3-2010高层建筑混凝土结构技术规程[S].北京:中国建筑工业出版社,2010.(China Academy of Building Research.JGJ3-2010Technical specification for concrete structures of tallbuilding[S].Beijing:China Building Industry Press,2010.)
[3]李云贵,邵弘,田志昌,等.多层、高层建筑结构弹塑性动力、静力分析[J].建筑结构学报,2002,23(5):56-62.(Li Yungui,Shao Hong,Tian Zhichang,et al.Elas-tic-plastic dynamic and static analysis of buildingstructures[J].Journal of Building Structures,2002,23(5):56-62.)
[4]张强,周德源,朱梦阳,等.考虑剪切变形的RC结构梁柱单元模型[J].江苏大学学报:自然科学版,2009,30(3):94-98.(Zhang Qiang,Zhou Deyuan,Zhu Mengyang,et al.RC structure beam-column model w ith considerationof shearing deformation[J].Journal of Jiangsu Uni-versity:Natural Science,2009,30(3):94-98.)
[5]齐虎,孙景江,林淋.OPENSEES中纤维模型的研究[J].世界地震工程,2007,23(4):48-54.(Qi Hu,Sun Jingjiang,Lin Lin.Research on fibermodel of OpenSees[J].World Earthquake Engineer-ing,2007,23(4):48-54.)
[6]陈滔,黄宗明.基于有限单元柔度法的钢筋混凝土空间框架非弹性地震反应分析[J].建筑结构学报,2004,25(2):79-84.(Chen Tao,Huang Zongming.Flexibility based finiteelement method for inelastic seismic response analy-sis of reinforced concrete space frames[J].Journalof Building Structures,2004,25(2):79-84.)
[7]姬守中,江欢成.考虑轴向变形、双轴弯曲耦合效应的钢筋混凝土柱的弹塑性分析[J].地震工程与工程振动,2002,22(4):74-80.(Ji Shouzhong,Jiang Huancheng.Plasto-elastic anal-ysis of reinforced concrete column under biaxial ben-ding and varying axial force[J].Earthquake Engi-neering and Engineering Vibration,2002,22(4):74-80.)
[8]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报,2005,39(7):1003-1008.(Qin Conglu,Zhang Aihui.Nonlinear time history a-nalysis based on section fiber model[J].Journal ofZhejiang University,2005,39(7):1003-1008.)
[9]汪训流,陆新征,叶列平.往复荷载下钢筋混凝土柱受力性能的数值模拟[J].工程力学,2007,24(12):76-81.(Wang Xunliu,Lu Xinzheng,Ye Lieping.Numericalsimulation for the hysteresis behavior of RC columnsunder cyclic loads[J].Engineering Mechanics,2007,24(12):76-81.)
[10]庄茁,由小川,廖剑辉,等.基于ABAQUS的有限元分析和应用[M].北京:清华大学出版社,2009.(Zhuang Zhuo,You Xiaochuan,Liao Jianhui,et al.FEM analysis and application based on ABAQUS[M].Beijing:Tsinghua University Press,2009.)
[11]王强,潘天林,刘明.用于ABAQUS显式分析梁单元的混凝土单轴本构模型[J].沈阳建筑大学学报:自然科学版,2011,27(4):679-684.(Wang Qiang,Pan Tianlin,Liu Ming.Study on a U-niaxial constitutive model of concrete for explicit dy-namic beam elements of ABAQUS[J].Journal ofShenyang Jianzhu University:Natural Science,2011,27(4):679-684.)
[12]周新炜,李志山,李云贵.基于ABAQUS纤维梁元的混凝土单轴滞回本构模型的开发与应用[C]//第十四届全国工程设计计算机应用学术会议论文集,北京:中国土木工程学会计算机应用分会,2008.(Zhou Xinwei,Li Zhishan,Li Yungui.Developmentand applications of concrete uniaxial hysteretic con-stitutive model based on ABAQUS fiber beam ele-ment[C]//14th National Conference of Computa-tional Applications in Engineering Design.Beijing:China Civil Engineering Society,Computer Applica-tion Branch,2008.)
[13]李承铭,李志山,王国俭.混凝土梁柱构件基于截面纤维模型的弹塑性分析[J].建筑结构学报,2007,37(12):33-35.(Li Chengming,Li Zhishan,Wang Guojian.Studyon elastic-plastic finite element analysis based onsection fiber beam-column elements[J].Journal ofBuilding Structures,2007,37(12):33-35.)
[14]滕军,李祚华,王孝锋,等.基于ABAQUS的混凝土材料子程序开发与应用[J].建筑结构学报,2009(S1):218-223.(Teng Jun,Li Zuohua,Wang Xiaofeng,et al.Devel-opment and application of concrete material modelbased on VUMAT platform of ABAQUS[J].Journalof Building Structures,2009(S1):218-223.)
[15]韩军,李英民,陈伟贤,等.基于ABAQUS三维梁单元的混凝土材料子程序二次开发[J].建筑结构学报,2011,41(5):111-114.(Han Jun,Li Yingmin,Chen Weixian,et al.Develop-ment of concrete material subroutines based onABAQUS three-dimensional beam element[J].Jour-nal of Building Structures,2011,41(5):111-114.)
[16]徐杰,傅传国,赵国栋,等.预应力型钢混凝土梁开裂截面中和轴高度分析[J].吉林建筑工程学院学报,2005,20(1):12-15.(Xu Jie,Fu Chuanguo,Zhao Guodong,et al.Theo-retical analysis of neutral axis height of prestressedsteel reinforced concrete beam[J].Journal of JilinUniversity of Architecture and Engineering,2005,20(1):12-15.)
[17]Hoehler M S,Stanton J F.Simple phenomenologicalmodel for reinforcing steel under arbitrary load[J].Journal of Structural Engineering,2006,132(7):1061-1069.
[18]Kunnath S K,Heo Y,Mohle J F.Nonlinear uniaxialmaterial model for reinforcing steel bars[J].Journalof Structural Engineering,2009,134(4):333-343.
[19]Légeron F,Paultre P,Mazar J.Damage mechanicsmodeling of nonlinear seismic behavior of concretestructures[J].Journal of Structural Engineering,2005,131(6):946-954.
[20]Kawashima K,Watanabe G,Hayakawa R.Seismicperformance of RC bridge columns subjected to bi-lateral excitation[C]//Proc.35th Joint Meeting,Panelon Wind and Seismic Effects,Japan:TsukubaScience City,2003.
[2]中国建筑科学研究院.JGJ3-2010高层建筑混凝土结构技术规程[S].北京:中国建筑工业出版社,2010.(China Academy of Building Research.JGJ3-2010Technical specification for concrete structures of tallbuilding[S].Beijing:China Building Industry Press,2010.)
[3]李云贵,邵弘,田志昌,等.多层、高层建筑结构弹塑性动力、静力分析[J].建筑结构学报,2002,23(5):56-62.(Li Yungui,Shao Hong,Tian Zhichang,et al.Elas-tic-plastic dynamic and static analysis of buildingstructures[J].Journal of Building Structures,2002,23(5):56-62.)
[4]张强,周德源,朱梦阳,等.考虑剪切变形的RC结构梁柱单元模型[J].江苏大学学报:自然科学版,2009,30(3):94-98.(Zhang Qiang,Zhou Deyuan,Zhu Mengyang,et al.RC structure beam-column model w ith considerationof shearing deformation[J].Journal of Jiangsu Uni-versity:Natural Science,2009,30(3):94-98.)
[5]齐虎,孙景江,林淋.OPENSEES中纤维模型的研究[J].世界地震工程,2007,23(4):48-54.(Qi Hu,Sun Jingjiang,Lin Lin.Research on fibermodel of OpenSees[J].World Earthquake Engineer-ing,2007,23(4):48-54.)
[6]陈滔,黄宗明.基于有限单元柔度法的钢筋混凝土空间框架非弹性地震反应分析[J].建筑结构学报,2004,25(2):79-84.(Chen Tao,Huang Zongming.Flexibility based finiteelement method for inelastic seismic response analy-sis of reinforced concrete space frames[J].Journalof Building Structures,2004,25(2):79-84.)
[7]姬守中,江欢成.考虑轴向变形、双轴弯曲耦合效应的钢筋混凝土柱的弹塑性分析[J].地震工程与工程振动,2002,22(4):74-80.(Ji Shouzhong,Jiang Huancheng.Plasto-elastic anal-ysis of reinforced concrete column under biaxial ben-ding and varying axial force[J].Earthquake Engi-neering and Engineering Vibration,2002,22(4):74-80.)
[8]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报,2005,39(7):1003-1008.(Qin Conglu,Zhang Aihui.Nonlinear time history a-nalysis based on section fiber model[J].Journal ofZhejiang University,2005,39(7):1003-1008.)
[9]汪训流,陆新征,叶列平.往复荷载下钢筋混凝土柱受力性能的数值模拟[J].工程力学,2007,24(12):76-81.(Wang Xunliu,Lu Xinzheng,Ye Lieping.Numericalsimulation for the hysteresis behavior of RC columnsunder cyclic loads[J].Engineering Mechanics,2007,24(12):76-81.)
[10]庄茁,由小川,廖剑辉,等.基于ABAQUS的有限元分析和应用[M].北京:清华大学出版社,2009.(Zhuang Zhuo,You Xiaochuan,Liao Jianhui,et al.FEM analysis and application based on ABAQUS[M].Beijing:Tsinghua University Press,2009.)
[11]王强,潘天林,刘明.用于ABAQUS显式分析梁单元的混凝土单轴本构模型[J].沈阳建筑大学学报:自然科学版,2011,27(4):679-684.(Wang Qiang,Pan Tianlin,Liu Ming.Study on a U-niaxial constitutive model of concrete for explicit dy-namic beam elements of ABAQUS[J].Journal ofShenyang Jianzhu University:Natural Science,2011,27(4):679-684.)
[12]周新炜,李志山,李云贵.基于ABAQUS纤维梁元的混凝土单轴滞回本构模型的开发与应用[C]//第十四届全国工程设计计算机应用学术会议论文集,北京:中国土木工程学会计算机应用分会,2008.(Zhou Xinwei,Li Zhishan,Li Yungui.Developmentand applications of concrete uniaxial hysteretic con-stitutive model based on ABAQUS fiber beam ele-ment[C]//14th National Conference of Computa-tional Applications in Engineering Design.Beijing:China Civil Engineering Society,Computer Applica-tion Branch,2008.)
[13]李承铭,李志山,王国俭.混凝土梁柱构件基于截面纤维模型的弹塑性分析[J].建筑结构学报,2007,37(12):33-35.(Li Chengming,Li Zhishan,Wang Guojian.Studyon elastic-plastic finite element analysis based onsection fiber beam-column elements[J].Journal ofBuilding Structures,2007,37(12):33-35.)
[14]滕军,李祚华,王孝锋,等.基于ABAQUS的混凝土材料子程序开发与应用[J].建筑结构学报,2009(S1):218-223.(Teng Jun,Li Zuohua,Wang Xiaofeng,et al.Devel-opment and application of concrete material modelbased on VUMAT platform of ABAQUS[J].Journalof Building Structures,2009(S1):218-223.)
[15]韩军,李英民,陈伟贤,等.基于ABAQUS三维梁单元的混凝土材料子程序二次开发[J].建筑结构学报,2011,41(5):111-114.(Han Jun,Li Yingmin,Chen Weixian,et al.Develop-ment of concrete material subroutines based onABAQUS three-dimensional beam element[J].Jour-nal of Building Structures,2011,41(5):111-114.)
[16]徐杰,傅传国,赵国栋,等.预应力型钢混凝土梁开裂截面中和轴高度分析[J].吉林建筑工程学院学报,2005,20(1):12-15.(Xu Jie,Fu Chuanguo,Zhao Guodong,et al.Theo-retical analysis of neutral axis height of prestressedsteel reinforced concrete beam[J].Journal of JilinUniversity of Architecture and Engineering,2005,20(1):12-15.)
[17]Hoehler M S,Stanton J F.Simple phenomenologicalmodel for reinforcing steel under arbitrary load[J].Journal of Structural Engineering,2006,132(7):1061-1069.
[18]Kunnath S K,Heo Y,Mohle J F.Nonlinear uniaxialmaterial model for reinforcing steel bars[J].Journalof Structural Engineering,2009,134(4):333-343.
[19]Légeron F,Paultre P,Mazar J.Damage mechanicsmodeling of nonlinear seismic behavior of concretestructures[J].Journal of Structural Engineering,2005,131(6):946-954.
[20]Kawashima K,Watanabe G,Hayakawa R.Seismicperformance of RC bridge columns subjected to bi-lateral excitation[C]//Proc.35th Joint Meeting,Panelon Wind and Seismic Effects,Japan:TsukubaScience City,2003.
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