钢筋混凝土结构裂缝损伤状态模型建模方法与分析
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摘要
提出了一种钢筋混凝土(RC)结构裂缝损伤状态模型的有限元建模方法.基于弥散裂缝数值模型,采用ANSYS中APDL实体建模技术,通过调控单元应力应变关系矩阵来模拟裂缝开裂后的力学行为,建立钢筋混凝土结构在含有稳定裂缝损伤情况下的状态模型.作为数值算例,分析了钢筋混凝土简支梁在不同开裂状态、不同开裂位置和多种阻尼工况下的静动力特性.结果表明,混凝土首次开裂对结构静动力特性影响最大,已有裂缝的张开闭合对结构的影响较小.简支梁的不利开裂位置集中在荷载响应较大的支座和跨中附近,以支座处最为不利.阻尼削弱钢筋混凝土梁的动态响应,对结构影响机理复杂,非线性明显.上述分析验证了该裂缝损伤状态模型建模方法的合理性和有效性.
A finite element modeling method of state model for reinforced concrete(RC) structure with crack damages is proposed.The crack damage state model is established through adjusting the stress-strain matrix of element to simulate the mechanical properties of existent crack based on the smeared crack model and APDL solid modeling of ANSYS.As an example,static and dynamic analyses of a RC simply-supported beam with crack damage are performed by finite element analysis,and the situations of several cracking states,different crack positions and some damp conditions are discussed.The experimental results indicate that the foremost cracking of concrete has the most significant impact on the static and dynamic characteristics of RC structures,and the influence of crack opening and closing under stable condition is mild.The most unfavorable crack positions are nearby the support and mid-span with support is worse.The damps weaken the dynamic response of RC structures,and the effect is complicated and high nonlinear.According to the above analyses,this method is reasonable and feasible.
A finite element modeling method of state model for reinforced concrete(RC) structure with crack damages is proposed.The crack damage state model is established through adjusting the stress-strain matrix of element to simulate the mechanical properties of existent crack based on the smeared crack model and APDL solid modeling of ANSYS.As an example,static and dynamic analyses of a RC simply-supported beam with crack damage are performed by finite element analysis,and the situations of several cracking states,different crack positions and some damp conditions are discussed.The experimental results indicate that the foremost cracking of concrete has the most significant impact on the static and dynamic characteristics of RC structures,and the influence of crack opening and closing under stable condition is mild.The most unfavorable crack positions are nearby the support and mid-span with support is worse.The damps weaken the dynamic response of RC structures,and the effect is complicated and high nonlinear.According to the above analyses,this method is reasonable and feasible.
引文
[1]INGRAFFEA A R,SAOUMA V.Numericalmodeling of discrete crack propagation in reinforcedconcrete[C]//Fracture Mechanics of Concrete:Structural Application and Numerical Calculation.Hingham:Martinus Nijhoff,1984:171-225
[2]PETERSSON P E.Crack growth and development offracture zones in plain concrete and similar materials[R]//Report No.TVBM-1006,Division of BuildingMaterials.Sweden:University of Lund,1981
[3]何政,欧进萍.钢筋混凝土结构非线性分析[M].哈尔滨:哈尔滨工业大学出版社,2007
[4]龙渝川,张楚汉,周元德.基于弥散与分离裂缝模型的混凝土开裂比较研究[J].工程力学,2008,25(3):80-84
[5]陆新征,江见鲸.考虑不同破坏模式的二维混凝土本构模型[J].土木工程学报,2003,36(11):70-74
[6]BUHARIWALA K J,HANSEN J S.Construction ofa consistent damping matrix[J].EarthquakeEngineering and Structural Dynamics,1988,16(9):931-942
[7]LIANG Z,LEE G C.Representation of dampingmatrix[J].Journal of Engineering Mechanics,ASCE,1991,117(5):560-565
[8]董军,邓洪洲.结构动力分析阻尼模型研究[J].世界地震工程,2000,16(4):63-69
[9]淡丹辉,孙利民.结构损伤有限元建模中的阻尼问题研究[J].工程力学,2006,23(9):48-54
[10]李田.结构时程动力分析中的阻尼取值研究[J].土木工程学报,1997,30(3):68-73
[11]尚世英,董至仁.钢筋混凝土构件阻尼值实验研究[J].工程抗震,1993,12(4):18-19
[12]石建军,胡绍全,柯国军.钢筋混凝土材料阻尼值的实验研究[J].四川建筑科学研究,2003,29(3):14-15
[2]PETERSSON P E.Crack growth and development offracture zones in plain concrete and similar materials[R]//Report No.TVBM-1006,Division of BuildingMaterials.Sweden:University of Lund,1981
[3]何政,欧进萍.钢筋混凝土结构非线性分析[M].哈尔滨:哈尔滨工业大学出版社,2007
[4]龙渝川,张楚汉,周元德.基于弥散与分离裂缝模型的混凝土开裂比较研究[J].工程力学,2008,25(3):80-84
[5]陆新征,江见鲸.考虑不同破坏模式的二维混凝土本构模型[J].土木工程学报,2003,36(11):70-74
[6]BUHARIWALA K J,HANSEN J S.Construction ofa consistent damping matrix[J].EarthquakeEngineering and Structural Dynamics,1988,16(9):931-942
[7]LIANG Z,LEE G C.Representation of dampingmatrix[J].Journal of Engineering Mechanics,ASCE,1991,117(5):560-565
[8]董军,邓洪洲.结构动力分析阻尼模型研究[J].世界地震工程,2000,16(4):63-69
[9]淡丹辉,孙利民.结构损伤有限元建模中的阻尼问题研究[J].工程力学,2006,23(9):48-54
[10]李田.结构时程动力分析中的阻尼取值研究[J].土木工程学报,1997,30(3):68-73
[11]尚世英,董至仁.钢筋混凝土构件阻尼值实验研究[J].工程抗震,1993,12(4):18-19
[12]石建军,胡绍全,柯国军.钢筋混凝土材料阻尼值的实验研究[J].四川建筑科学研究,2003,29(3):14-15
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