一种修正的混凝土弹性损伤本构模型及其应用
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摘要
混凝土弹性损伤本构模型的模型参数少、标定简单、计算效率较高,适于工程应用。Faria和Oliver等人所提出的混凝土损伤模型,体现了混凝土弹性损伤本构模型的上述优点,但原模型对反复荷载作用下混凝土刚度恢复效应描述欠佳。针对此不足,该文做了修正。并以ABAQUS为平台编制了材料模型子程序UMAT。应用修正的模型对几个典型实验进行了数值模拟,分析结果表明:修正的混凝土弹性损伤模型,能够较合理地描述反复荷载作用下混凝土的受拉行为,且计算效率高、适用性好,是钢筋混凝土结构损伤分析的一种可靠、适用的材料模型。
Elastic damage models have few model parameters,which may be calibrated easily,and have a high computational efficiency.Thusly,they are suitable for engineering application.The elastic damage constitutive model of concrete proposed by Faria and Oliver et al is modified to overcome the shortcomings of the original model for describing the stiffness restoring effect of concrete under cyclic loading,and a material model subroutine UMAT is developed taking ABAQUS as the platform.Several typical tests are numerically simulated using the modified model,and the results show that the computational efficiency of the modified model is high and the simulated results are well agreed with the test data.A conclusion is given that the modified damage model may describe the tensile behavior of concrete under cyclic loading more reasonably with high computational efficiency and good applicability,and is a reliable and applicable material model for the damage analysis of reinforced concrete(RC) structures.
Elastic damage models have few model parameters,which may be calibrated easily,and have a high computational efficiency.Thusly,they are suitable for engineering application.The elastic damage constitutive model of concrete proposed by Faria and Oliver et al is modified to overcome the shortcomings of the original model for describing the stiffness restoring effect of concrete under cyclic loading,and a material model subroutine UMAT is developed taking ABAQUS as the platform.Several typical tests are numerically simulated using the modified model,and the results show that the computational efficiency of the modified model is high and the simulated results are well agreed with the test data.A conclusion is given that the modified damage model may describe the tensile behavior of concrete under cyclic loading more reasonably with high computational efficiency and good applicability,and is a reliable and applicable material model for the damage analysis of reinforced concrete(RC) structures.
引文
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[12]Cervera M,Oliver J,Manzoli O.A rate-dependent isotropic damage model for the seismic analysis of Dynamics,1996,25(9):987―1010.
[13]Faria R,Oliver J,Cervera M.Modeling material failure in concrete structures under cyclic actions[J].Journal of Structural Engineering,ASCE,2004,130(12):1997―2005.
[14]Valliappan S,Yazdchi M,Khalili N.Seismic analysis of arch dams-a continuum damage mechanics approach[J].International Journal for Numerical Methods in Engineering,1999,45(11):1695―1724.
[15]Karsan I D,Jirsa J O.Behavior of concrete under compressive loadings[J].Journal of Structure Division,ASCE,1969,95(12):2535―2563.
[16]Gopalaratnam V S,Shah S P.Softening response of plain concrete in direct tension[J].ACI Journal,1985,82(3):310―323.
[17]Kuper H,Hilsdorf H K,Rusch H.Behavior of concrete under biaxial stress[J].ACI Journal,1969,66(8):656―666.
[18]艾庆华,李宏男,王东升.基于位移设计的钢筋混凝土桥墩抗震性能试验研究(Ⅱ):振动台试验[J].地震工程与工程振动,2008,28(3):39―46.Ai Qinghua,Li Hongnan,Wang Dongsheng.Experimental evaluation of seismic performance of reinforced concrete bridge piers designed on the basis of displacement(Ⅱ):Shaking table test[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(3):39―46.(in Chinese)
[2]Ngo D,Scordelis A C.Finite element analysis of reinforced concrete beams[J].ACI Journal Proceedings,1967,64(3):152―163.
[3]沈新普,沈国晓,陈立新.混凝土损伤塑性本构模型研究[J].岩土力学,2004,25(增2):13―17.Shen Xinpu,Shen Guoxiao,Chen Lixin.Study on a plastic constitutive damage model for concrete[J].Rock and Soil Mechanics,2004,25(S2):13―17.(in Chinese)
[4]杜荣强,林皋.混凝土弹塑性多轴损伤模型及其应用[J].大连理工大学学报,2007,47(4):567―572.Du Rongqiang,Lin Gao.A multiaxial anisotropic elastoplastic damage model for concrete and its application[J].Journal of Dalian University of Technology,2007,47(4):567―572.(in Chinese)
[5]李杰,吴建营.混凝土弹塑性损伤本构模型研究Ⅰ:基本公式[J].土木工程学报,2005,38(9):14―20.Li Jie,Wu Jianying.Elastoplastic damage constitutive model for concrete based on damage energy release rates,partⅠ:basic formulations[J].China Civil Engineering Journal,2005,38(9):14―20.(in Chinese)
[6]Lee J,Fenves G L.A plastic-damage concrete model for earthquake analysis of dams[J].Earthquake Engineering&Structural Dynamics,1998,27(9):937―956.
[7]Wu J Y,Li J,Faria R.An energy release rate-based plastic-damage model for concrete[J].International Journal of Solids and Sturctures,2006,43(3-4):583―612.
[8]Desmorat R,Catuingt F,Ragueneau F.Nonlocal anisotropic damage model and related computational aspects for quasi-brittle materials[J].Engineering Fracture Mechanics,2007,74(10):1539―1560.
[9]Nguyen G D,Korsunsky A M.Development of an approach to constitutive modeling of concrete:isotropic damage coupled with plasticity[J].International Journal of Solids and Structures,2008,45(20):5483―5501.
[10]Oliver J,Huespe A E,Pulido M D G.From continuum mechanics to fracture mechanics:the strong discontinuity approach[J].Engineering Fracture Mechanics,2002,69(2):113―136.
[11]Hatzigeorgiou G,Beskos D,Theodorakopoulos D.A simple concrete model for dynamic FEM applications[J].International Journal of Computational Engineering Science,2001,2(2):267―286.concrete dams[J].Earthquake Engineering&Structural
[12]Cervera M,Oliver J,Manzoli O.A rate-dependent isotropic damage model for the seismic analysis of Dynamics,1996,25(9):987―1010.
[13]Faria R,Oliver J,Cervera M.Modeling material failure in concrete structures under cyclic actions[J].Journal of Structural Engineering,ASCE,2004,130(12):1997―2005.
[14]Valliappan S,Yazdchi M,Khalili N.Seismic analysis of arch dams-a continuum damage mechanics approach[J].International Journal for Numerical Methods in Engineering,1999,45(11):1695―1724.
[15]Karsan I D,Jirsa J O.Behavior of concrete under compressive loadings[J].Journal of Structure Division,ASCE,1969,95(12):2535―2563.
[16]Gopalaratnam V S,Shah S P.Softening response of plain concrete in direct tension[J].ACI Journal,1985,82(3):310―323.
[17]Kuper H,Hilsdorf H K,Rusch H.Behavior of concrete under biaxial stress[J].ACI Journal,1969,66(8):656―666.
[18]艾庆华,李宏男,王东升.基于位移设计的钢筋混凝土桥墩抗震性能试验研究(Ⅱ):振动台试验[J].地震工程与工程振动,2008,28(3):39―46.Ai Qinghua,Li Hongnan,Wang Dongsheng.Experimental evaluation of seismic performance of reinforced concrete bridge piers designed on the basis of displacement(Ⅱ):Shaking table test[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(3):39―46.(in Chinese)
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