基于修正压力场模型的膜单元的开发及其在组合结构中的应用
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摘要
以转动裂缝模型为核心思想的修正压力场模型(MCFT)是近30年来钢筋混凝土剪扭行为研究成果的代表之一,提出通过大型通用有限元程序ABAQUS 6.9二次开发将修正压力场模型应用于非线性有限元分析中,并在该模型的基础上作出一定发展,使其适用于压拉弯剪复合作用下的钢筋混凝土结构、钢-混凝土组合结构的非线性分析。将该模型应用于国内外各种类型构件的分析中,包括钢筋混凝土梁(剪切破坏梁、弯曲破坏梁、弯剪复合破坏梁)、钢筋混凝土墙以及内嵌钢板混凝土组合墙,数值模拟结果与试验结果吻合良好,表明该模型充分兼顾准确性、通用性,为压拉弯剪复合作用下的钢筋混凝土结构、钢-混凝土组合结构的非线性分析提供了有效的手段。
The modified compression-field theory(MCFT),which takes the rotating crack model as its core idea,is one of the most significant developments in the study on the shear and torsion behavior of the reinforced concrete over the past 30 years.By means of the user interfaces provided by FE Package ABAQUS 6.9,the MCFT model is incorporated into the nonlinear FE analysis.Furthermore,a planar membrane element is proposed for the nonlinear FE analysis of both reinforced concrete structures and steel-concrete composite structures subjected to compression,tension,flexure and shear.The proposed planar membrane element may be applied to the analysis of various structure members,including the reinforced concrete beams(in diagonal-tension failure mode,shear-compression failure mode and flexurecompression mode),reinforced concrete shear walls and steel-concrete composite walls.Good agreement between numerical and experimental results may be observed,indicating that the developed MCFT model has good accuracy and general applicability,and it may be used for the nonlinear FE analysis of both reinforced concrete structures and steelconcrete composite structures subjected to compression,tension,flexure and shear.
The modified compression-field theory(MCFT),which takes the rotating crack model as its core idea,is one of the most significant developments in the study on the shear and torsion behavior of the reinforced concrete over the past 30 years.By means of the user interfaces provided by FE Package ABAQUS 6.9,the MCFT model is incorporated into the nonlinear FE analysis.Furthermore,a planar membrane element is proposed for the nonlinear FE analysis of both reinforced concrete structures and steel-concrete composite structures subjected to compression,tension,flexure and shear.The proposed planar membrane element may be applied to the analysis of various structure members,including the reinforced concrete beams(in diagonal-tension failure mode,shear-compression failure mode and flexurecompression mode),reinforced concrete shear walls and steel-concrete composite walls.Good agreement between numerical and experimental results may be observed,indicating that the developed MCFT model has good accuracy and general applicability,and it may be used for the nonlinear FE analysis of both reinforced concrete structures and steelconcrete composite structures subjected to compression,tension,flexure and shear.
引文
[1]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005(Jiang Jianjing,Lu Xinzheng,Ye Lieping.Finite element analysis of concrete structures[M].Beijing:Tsinghua University Press,2005(in Chinese))
[2]Crisfield M A,Wills J.Analysis of R/C panels using different concrete models[J].Journal of Engineering Mechanics,1989,115(3):578-597
[3]Vecchio F J,Collins M P.The modified compression-field theory for reinforced concrete elements subjected to shear[J].ACI Structural Journal,1986,83(2):219-231
[4]Hsu T T.Nonlinear analysis of concrete membrane elements[J].ACI Structural Journal,1991,88(5):552-561
[5]Belarbi A,Hsu T T.Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete[J].ACI structural Journal,1994,91(4):465-474
[6]Belarbi A,Hsu T T.Constitutive laws of softened concrete in biaxial tension compression[J].ACI Structural Journal,1995,92(5):562-573
[7]Pang X D,Hsu T T.Behavior of reinforced concrete membrane elements in shear[J].ACI structural Journal,1995,92(6):665-677
[8]Vecchio F J.Disturbed stress field model for reinforced concrete:Formulation[J].Journal of Structural Engineering,2000,126(9):1070-1077
[9]Hsu T T,Zhu R R.Softened membrane model for reinforced concrete elements in shear[J].ACI Structural Journal,2002,99(4):460-469
[10]聂建国,陶慕轩.采用纤维梁单元分析钢-混凝土组合结构地震反应的原理[J].建筑结构学报,2011,32(10):1-10(Nie Jianguo,Tao Muxuan.Theory of seismic response analysis of steel-concrete composite structures using fiber beam elements[J].Journal of Building Structures,2011,32(10):1-10(in Chinese))
[11]聂建国,陶慕轩.采用纤维梁单元分析钢-混凝土组合结构地震反应的应用[J].建筑结构学报,2011,32(10):11-20(Nie Jianguo,Tao Muxuan.Application of seismic response analysis of steel-concrete composite structures using fiber beam elements[J].Journal of Building Structures,2011,32(10):11-20(in Chinese))
[12]Zhong Jianxia.Model-based simulation of reinforced concrete plane stress structures[D].Houston:University of Houston,2005
[13]曲哲,初明进.转角软化桁架模型与修正压力场理论的比较研究[J].工程力学,2009,(3):36-42(Qu Zhe,Chu Mingjin.Comparative study of rotating angle-softened truss model and modified compression field theory[J].Engineering Mechanics,2009,26(3):36-42(in Chinese))
[14]Zhu R R,Hsu T T,Lee J.Rational shear modulus for smeared-crack analysis of reinforced concrete[J].ACI Structural Journal,2001,98(4):443-450
[15]Bresler B,Scordelis A C.Shear strength of reinforced concrete beams[J].Journal of the American Concrete Institute,1963,60(1):51-72
[16]Vecchio F J,Shim W.Experimental and analytical reexamination of classic concrete beam tests[J].Journal of Structural Engineering,2004,130(3):460-469
[17]孙建超.高层建筑钢-混凝土组合剪力墙受剪性能及设计方法的研究[D].北京:中国建筑科学研究院,2007(Sun Jianchao.Study on shear behavior and design method of steel-concrete composite wall for high-rise building[D].Beijing:China Academy of Building Research,2007(in Chinese))
[2]Crisfield M A,Wills J.Analysis of R/C panels using different concrete models[J].Journal of Engineering Mechanics,1989,115(3):578-597
[3]Vecchio F J,Collins M P.The modified compression-field theory for reinforced concrete elements subjected to shear[J].ACI Structural Journal,1986,83(2):219-231
[4]Hsu T T.Nonlinear analysis of concrete membrane elements[J].ACI Structural Journal,1991,88(5):552-561
[5]Belarbi A,Hsu T T.Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete[J].ACI structural Journal,1994,91(4):465-474
[6]Belarbi A,Hsu T T.Constitutive laws of softened concrete in biaxial tension compression[J].ACI Structural Journal,1995,92(5):562-573
[7]Pang X D,Hsu T T.Behavior of reinforced concrete membrane elements in shear[J].ACI structural Journal,1995,92(6):665-677
[8]Vecchio F J.Disturbed stress field model for reinforced concrete:Formulation[J].Journal of Structural Engineering,2000,126(9):1070-1077
[9]Hsu T T,Zhu R R.Softened membrane model for reinforced concrete elements in shear[J].ACI Structural Journal,2002,99(4):460-469
[10]聂建国,陶慕轩.采用纤维梁单元分析钢-混凝土组合结构地震反应的原理[J].建筑结构学报,2011,32(10):1-10(Nie Jianguo,Tao Muxuan.Theory of seismic response analysis of steel-concrete composite structures using fiber beam elements[J].Journal of Building Structures,2011,32(10):1-10(in Chinese))
[11]聂建国,陶慕轩.采用纤维梁单元分析钢-混凝土组合结构地震反应的应用[J].建筑结构学报,2011,32(10):11-20(Nie Jianguo,Tao Muxuan.Application of seismic response analysis of steel-concrete composite structures using fiber beam elements[J].Journal of Building Structures,2011,32(10):11-20(in Chinese))
[12]Zhong Jianxia.Model-based simulation of reinforced concrete plane stress structures[D].Houston:University of Houston,2005
[13]曲哲,初明进.转角软化桁架模型与修正压力场理论的比较研究[J].工程力学,2009,(3):36-42(Qu Zhe,Chu Mingjin.Comparative study of rotating angle-softened truss model and modified compression field theory[J].Engineering Mechanics,2009,26(3):36-42(in Chinese))
[14]Zhu R R,Hsu T T,Lee J.Rational shear modulus for smeared-crack analysis of reinforced concrete[J].ACI Structural Journal,2001,98(4):443-450
[15]Bresler B,Scordelis A C.Shear strength of reinforced concrete beams[J].Journal of the American Concrete Institute,1963,60(1):51-72
[16]Vecchio F J,Shim W.Experimental and analytical reexamination of classic concrete beam tests[J].Journal of Structural Engineering,2004,130(3):460-469
[17]孙建超.高层建筑钢-混凝土组合剪力墙受剪性能及设计方法的研究[D].北京:中国建筑科学研究院,2007(Sun Jianchao.Study on shear behavior and design method of steel-concrete composite wall for high-rise building[D].Beijing:China Academy of Building Research,2007(in Chinese))
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