混凝土损伤本构模型研究评述
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摘要
现有混凝土本构关系主要是基于成熟的经典弹塑性模型所建立的,弹塑性模型在数学上较严格,但是与混凝土材料破坏机理不协调,各国学者针对混凝土这类特殊多相复合材料提出了很多基于不可逆热力学理论的损伤本构模型。系统综述了混凝土损伤本构研究的成果,在分析了各个有代表意义的混凝土损伤本构模型基础之上,对比研究了各个模型的特点及各自适用范围,通过总结前人成果,为损伤本构模型研究提供了思路。
The existing constitutive models of concrete are mainly based on the framework of the classic elastic-plastic models which are rigorous on mathematics,but not coordinated with the failure mechanism of concrete.Researchers of different countries proposed various kinds of damage constitutive models based on the irreversible thermodynamics theory to describe the damage behavior of concrete.This paper presents a review of different models for concrete,analyzes the characteristics of each representative model and studies the scope of their application.On the basis of the review of existing concrete damage models,some new methods can be provided for further research on damage constitutive models.
The existing constitutive models of concrete are mainly based on the framework of the classic elastic-plastic models which are rigorous on mathematics,but not coordinated with the failure mechanism of concrete.Researchers of different countries proposed various kinds of damage constitutive models based on the irreversible thermodynamics theory to describe the damage behavior of concrete.This paper presents a review of different models for concrete,analyzes the characteristics of each representative model and studies the scope of their application.On the basis of the review of existing concrete damage models,some new methods can be provided for further research on damage constitutive models.
引文
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[2]P.梅泰.混凝土的结构、性能与材料〔M〕.上海:同济大学出版社,1991.
[3]I.Blechman,Brittle Solid Under Compression.PartⅠandPartⅡ〔J〕.Int.J.Solids Structures,1997,34:2 563-2594.
[4]Kachanov L.M.Ti me of the Rupture Process UnderCreep Condition.〔J〕.TVZ Akad.Nauk.S.S.R.Otd.Tech.Nauk.1958,8.
[5]Rabotnov Y.N.On the equations of State for Creep〔C〕.Progress in Applied mechanics,1963,307-315.
[6]Lemaitre J.Evaluation of Dissipation and Damage in Met-als Submitted to dynamic Loading〔C〕.Proceedings ofICM-1,Kyoto,1971.
[7]Janson J.and Hult J.Fracture Mechanics and damage Me-chanics,a Combined Approach〔J〕.J.de Mech.Appl.,1997,1(1):59-64.
[8]Lemaitre J.Application of Damage Concepts to PredictCreep-Fatigue failure〔J〕.J.Eng.Mat.Tech,ASME,1979,101(1):202-209.
[9]Chaboche J.L.Continuum Damage Mechanics:PresentState and Future Trends〔J〕.Nucl.Eng.Design,1987,105(6):19-33.
[10]Hult J.Introduction and Overview.In:Continuum Dam-age Mechanics:Theory and Applications〔M〕.Wien-New York,Springer-Verlag,1989.
[11]Leckie F.A.,Hayhurst D.R.Creep Rapture of Structure〔A〕.Proc.R.Soc〔C〕.A340,1974.
[12]Krajicinovic D.Damage Mechanics〔J〕.Mech.Mater.,1989(8):117-197.
[13]于海祥,武建华,张国彬,一种新型的砼结构双参数地震损伤模型〔J〕.重庆建筑大学学报,2004,26(5):43-48.
[14]K.E.Loland,Continuous Damage Model for Load-re-sponse Esti mation of Concrete〔J〕.Cement and ConcreteResearch.Pergamon Press,Ltd 1980,10:395-402.
[15]J.Mazars,Continuous Damage Theory-Application toConcrete〔J〕.J.Eng.Mech.1980,115(2):345-365.
[16]余天庆,混凝土的分段线性损伤模型〔J〕.岩石、混凝土断裂与强度,1985,(2):14-16.
[17]钱济成、周建方,混凝土的两种损伤模型及其应用〔J〕.河海大学学报,1989,(3):40-47.
[18]Jan G.M.van Mier,Influence of Damage OrientationDistribution on The Multiaxial Stress Strain Behaviorsof Concrete〔J〕.Cement and Concrete Research.Perga-mon Press,Ltd 1980,15:849-862.
[19]Supartono F,Sidoroff F.Anisotropic Damage modelingfor Brittle elastic materials〔C〕.Symposium of Franc-Poland,1984.
[20]D.Krajcinovic,G.U.Fonseka,The Continuous DamageTheory of Brittle Materials〔J〕.Journal of Applied Me-chanics,ASME,1981,48:809-815.
[21]过镇海,混凝土的强度和变形〔M〕.北京:清华大学出版社,1997.
[22]董毓利、谢和平、赵鹏,循环受压砼全过程声发射实验及其本构关系〔J〕.实验力学,1996,11(2):216-221.
[23]Hsieh S S.A plastic-Fracture Model for Concrete〔J〕.Int.J.Solids Structures,1982,18(3):181-197.
[24]董毓利、谢和平、李世平,不同围压下混凝土受压弹塑性损伤本构模型的研究〔J〕.煤炭学报,1996,21(3):265-270.
[25]李杰、吴建营,混凝土弹塑性损伤本构模型研究〔J〕.土木工程学报,2005,38(9):14-27.
[26]李杰,混凝土随机损伤力学的初步研究〔J〕.同济大学学报,2004,32(10):1 270-1 277.
[27]李杰,混凝土随机损伤本构关系-单轴受压分析〔J〕.同济大学学报,2003,31(5):505-509.
[28]李杰,张其云,混凝土随机损伤本构关系〔J〕.同济大学学报,2001,29(10):1 135-1 141.
[29]董毓利、谢和平、赵鹏,砼全过程损伤的实验研究〔J〕.实验力学,1995,10(2):95-102.
[2]P.梅泰.混凝土的结构、性能与材料〔M〕.上海:同济大学出版社,1991.
[3]I.Blechman,Brittle Solid Under Compression.PartⅠandPartⅡ〔J〕.Int.J.Solids Structures,1997,34:2 563-2594.
[4]Kachanov L.M.Ti me of the Rupture Process UnderCreep Condition.〔J〕.TVZ Akad.Nauk.S.S.R.Otd.Tech.Nauk.1958,8.
[5]Rabotnov Y.N.On the equations of State for Creep〔C〕.Progress in Applied mechanics,1963,307-315.
[6]Lemaitre J.Evaluation of Dissipation and Damage in Met-als Submitted to dynamic Loading〔C〕.Proceedings ofICM-1,Kyoto,1971.
[7]Janson J.and Hult J.Fracture Mechanics and damage Me-chanics,a Combined Approach〔J〕.J.de Mech.Appl.,1997,1(1):59-64.
[8]Lemaitre J.Application of Damage Concepts to PredictCreep-Fatigue failure〔J〕.J.Eng.Mat.Tech,ASME,1979,101(1):202-209.
[9]Chaboche J.L.Continuum Damage Mechanics:PresentState and Future Trends〔J〕.Nucl.Eng.Design,1987,105(6):19-33.
[10]Hult J.Introduction and Overview.In:Continuum Dam-age Mechanics:Theory and Applications〔M〕.Wien-New York,Springer-Verlag,1989.
[11]Leckie F.A.,Hayhurst D.R.Creep Rapture of Structure〔A〕.Proc.R.Soc〔C〕.A340,1974.
[12]Krajicinovic D.Damage Mechanics〔J〕.Mech.Mater.,1989(8):117-197.
[13]于海祥,武建华,张国彬,一种新型的砼结构双参数地震损伤模型〔J〕.重庆建筑大学学报,2004,26(5):43-48.
[14]K.E.Loland,Continuous Damage Model for Load-re-sponse Esti mation of Concrete〔J〕.Cement and ConcreteResearch.Pergamon Press,Ltd 1980,10:395-402.
[15]J.Mazars,Continuous Damage Theory-Application toConcrete〔J〕.J.Eng.Mech.1980,115(2):345-365.
[16]余天庆,混凝土的分段线性损伤模型〔J〕.岩石、混凝土断裂与强度,1985,(2):14-16.
[17]钱济成、周建方,混凝土的两种损伤模型及其应用〔J〕.河海大学学报,1989,(3):40-47.
[18]Jan G.M.van Mier,Influence of Damage OrientationDistribution on The Multiaxial Stress Strain Behaviorsof Concrete〔J〕.Cement and Concrete Research.Perga-mon Press,Ltd 1980,15:849-862.
[19]Supartono F,Sidoroff F.Anisotropic Damage modelingfor Brittle elastic materials〔C〕.Symposium of Franc-Poland,1984.
[20]D.Krajcinovic,G.U.Fonseka,The Continuous DamageTheory of Brittle Materials〔J〕.Journal of Applied Me-chanics,ASME,1981,48:809-815.
[21]过镇海,混凝土的强度和变形〔M〕.北京:清华大学出版社,1997.
[22]董毓利、谢和平、赵鹏,循环受压砼全过程声发射实验及其本构关系〔J〕.实验力学,1996,11(2):216-221.
[23]Hsieh S S.A plastic-Fracture Model for Concrete〔J〕.Int.J.Solids Structures,1982,18(3):181-197.
[24]董毓利、谢和平、李世平,不同围压下混凝土受压弹塑性损伤本构模型的研究〔J〕.煤炭学报,1996,21(3):265-270.
[25]李杰、吴建营,混凝土弹塑性损伤本构模型研究〔J〕.土木工程学报,2005,38(9):14-27.
[26]李杰,混凝土随机损伤力学的初步研究〔J〕.同济大学学报,2004,32(10):1 270-1 277.
[27]李杰,混凝土随机损伤本构关系-单轴受压分析〔J〕.同济大学学报,2003,31(5):505-509.
[28]李杰,张其云,混凝土随机损伤本构关系〔J〕.同济大学学报,2001,29(10):1 135-1 141.
[29]董毓利、谢和平、赵鹏,砼全过程损伤的实验研究〔J〕.实验力学,1995,10(2):95-102.
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