混凝土框架结构抗震分析的塑性损伤模型
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摘要
地震作用下,结构会遭受损伤。为了对结构进行损伤评估,本文基于经典塑性模型与连续损伤模型,根据广义应力空间塑性力学确定塑性变形的演化法则,建立了一种塑性损伤模型,用来进行混凝土框架结构的抗震分析,将塑性损伤的本构关系运用于在两端具有塑性铰的梁模型,模拟框架结构的梁柱。同时该模型的损伤指数可以确定结构各单元和整体的地震时性能,确定结构极限荷载,算例表明该模型具有可靠的精度。
Under earthquake,structures are damaged in a certain extent.A plastic-damage model for reinforced concrete frames is developed in this paper to evaluate RC frame damage,based on the classical plastic model and the continuum damage model.The Plastic-damage constitutive law is implemented into a beam model for framed structures,in which these are described by elastic beams and columns with two inelastic hinges at their ends.A damage index useful in evaluating the state of structural members and a meaningful global damage index for whole structure are introduced.The plastic-damage model,together with the member and global damage indices,is adequate for the computation of the limit load of reinforced concrete frames subjected to seismic actions.Application examples of the methodology to the non-linear analysis of reinforced concrete framed structures are finally given.The result indicates that the model has reliable accuracy.
Under earthquake,structures are damaged in a certain extent.A plastic-damage model for reinforced concrete frames is developed in this paper to evaluate RC frame damage,based on the classical plastic model and the continuum damage model.The Plastic-damage constitutive law is implemented into a beam model for framed structures,in which these are described by elastic beams and columns with two inelastic hinges at their ends.A damage index useful in evaluating the state of structural members and a meaningful global damage index for whole structure are introduced.The plastic-damage model,together with the member and global damage indices,is adequate for the computation of the limit load of reinforced concrete frames subjected to seismic actions.Application examples of the methodology to the non-linear analysis of reinforced concrete framed structures are finally given.The result indicates that the model has reliable accuracy.
引文
[1]Argyris J H,Boni B,Kleiber M.Finite elementanalysis of two and three-dimensional elastic-plasticframes-the natural approach[J].Comput MethodsAppl Mech Eng,1982,35:221～48
[2]欧进萍,何政,吴斌,钢筋混凝土基于地震损伤性能的设计[J].地震工程与工程振动,1999,19(01):21～30Seismic Damage Performance-based Design ofReinforced Concrete Structures[J].EarthquakeEngineering and Engineering Vibration,1999,19(1):21～30(in Chinese)
[3]Dipasquale E,Cakmak A S.Detection of seismicstructural damage using parameter-based global damageindices[J].Probabilistic Engineering Mechanics,1990,5(2):60～65
[4]杨栋,丁大钧,宰金珉.钢筋混凝土框架结构的地震损伤分析[J].南京建筑工程学院学报,1995,(4):8～13Yang Dong,Din Da-jun,Zai Jin-min.Seismic InjuryAssessment of Reinforced Concrete Frame Structures[J].Jounal of Nanjing Architectural and CivilEngineering Institute,1995,(4):8～13(in Chinese)
[5]Simo J C,Ju J W.Stress and strain based continuumdamage models-I.Formulation[J].Solid Struct 1987,23:821～840
[6]Luccioni B,Oller S,Danesi R.Coupled plastic-damagemodel[J].Compute Method Appl Mech Eng 1996,129:81～89
[7]Cipolina A,López Inojosa A,Flórez-López J.Asimplified damage mechanics approach to non-linearanalysis of frames[J].Comput Struct.,1995,54(6):1113～1126
[8]Argyris J H,Boni B,Kleiber M.Finite elementanalysis of two and three-dimensional elasto-plasticframes-the natural approach[J].Comput MethodsAppl Mech Eng,1982,35:21～48
[9]Faleiro J,Barbat A H,Oller S.Plasticidade DanoemPórticos de Concreto Armado.In:46_CongressBrasileiro do Concreto.Floriano’plis-Brazil:IBRACON;2004
[10]Oller S,Barbat A H.Moment-curvature damage modelfor bridges subjected to seismic loads[J].ComputeMethod Appl Mech Eng.,2006,195:4490～4511
[2]欧进萍,何政,吴斌,钢筋混凝土基于地震损伤性能的设计[J].地震工程与工程振动,1999,19(01):21～30Seismic Damage Performance-based Design ofReinforced Concrete Structures[J].EarthquakeEngineering and Engineering Vibration,1999,19(1):21～30(in Chinese)
[3]Dipasquale E,Cakmak A S.Detection of seismicstructural damage using parameter-based global damageindices[J].Probabilistic Engineering Mechanics,1990,5(2):60～65
[4]杨栋,丁大钧,宰金珉.钢筋混凝土框架结构的地震损伤分析[J].南京建筑工程学院学报,1995,(4):8～13Yang Dong,Din Da-jun,Zai Jin-min.Seismic InjuryAssessment of Reinforced Concrete Frame Structures[J].Jounal of Nanjing Architectural and CivilEngineering Institute,1995,(4):8～13(in Chinese)
[5]Simo J C,Ju J W.Stress and strain based continuumdamage models-I.Formulation[J].Solid Struct 1987,23:821～840
[6]Luccioni B,Oller S,Danesi R.Coupled plastic-damagemodel[J].Compute Method Appl Mech Eng 1996,129:81～89
[7]Cipolina A,López Inojosa A,Flórez-López J.Asimplified damage mechanics approach to non-linearanalysis of frames[J].Comput Struct.,1995,54(6):1113～1126
[8]Argyris J H,Boni B,Kleiber M.Finite elementanalysis of two and three-dimensional elasto-plasticframes-the natural approach[J].Comput MethodsAppl Mech Eng,1982,35:21～48
[9]Faleiro J,Barbat A H,Oller S.Plasticidade DanoemPórticos de Concreto Armado.In:46_CongressBrasileiro do Concreto.Floriano’plis-Brazil:IBRACON;2004
[10]Oller S,Barbat A H.Moment-curvature damage modelfor bridges subjected to seismic loads[J].ComputeMethod Appl Mech Eng.,2006,195:4490～4511
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