混凝土动力本构模型的基础理论与建模应用综述
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摘要
混凝土结构分析问题中动力荷载下混凝土的动力本构模型研究日益重要。为对建立混凝土动力本构关系的基础理论有系统的认知和了解其应用,对其进行了总结,简述了在建立混凝土动本构方面的应用,对混凝土动力本构模型的理论发展趋势作了展望。并对当前混凝土动力本构模型的应用做了概括评述,并指出了混凝土动力本构的可行研究方向,为建立混凝土动力本构模型提供指导。
Theories of static and dynamic constitutive model for concrete are outlined to provide tools of constitutive modelling for concrete.They include not only classical continuum mechanics,traditional elastoplastic theory and thermodynamics,but fracture mechanics,damage mechanics,micro-mesomechanics and endochronic theory developed recently.They are cornerstone and spirit for concrete constitutive modelling.They construct the framework of the concrete modelling together and make cocrete modelling fresh constantly.Some applications on concrete modelling are depicted.The trends of theoretic fundamentals of the concrete modelling are previewed.
Theories of static and dynamic constitutive model for concrete are outlined to provide tools of constitutive modelling for concrete.They include not only classical continuum mechanics,traditional elastoplastic theory and thermodynamics,but fracture mechanics,damage mechanics,micro-mesomechanics and endochronic theory developed recently.They are cornerstone and spirit for concrete constitutive modelling.They construct the framework of the concrete modelling together and make cocrete modelling fresh constantly.Some applications on concrete modelling are depicted.The trends of theoretic fundamentals of the concrete modelling are previewed.
引文
[1]Lin G.A seismic Design of Arch Dams[A].Proc.Eleventh World Conference on Earthquake Engineering[C].Paper No.1,2020,Elsevier Sci-ence,1996.
[2]蒋昭镳,等.混凝土结构动态安全分析的重要基础-混凝土动态力学性能[J].宁波大学学报,1997,10(2):50-57.
[3]Bicanic N,Zienkiewicz O C.Constitutive Model for concrete under Dynamic Loading[J].Earthquake Engineering and Structural Dynamics,1983,11(5):689-710.
[4]林皋,陈健云.混凝土大坝的抗震安全评价[J].水利学报,2001,(2):8-15.
[5]Comi C,Perego U.Variationally consistent generalized variable formulation of the elastoplastic rate problem[J].Mat.Acc.Lincei,1991,2(9):177-190.
[6]Eibl J,Hurtienne B S.Strain-rate-sensitive constitutive law for concrete[J].Journal of Engineering Mechanics,1999,125(12):1411-1420.
[7]肖诗云,林皋,等.应变率对混凝土抗拉特性影响[J].大连理工大学学报,2001,41(6):721-725.
[8]董毓利,谢和平,等.不同应变率下混凝土受压全过程的试验研究及其本构模型[J].水利学报,1997,(7):72-77.
[9]Raguenean F,Gatuingt F.Inelastic behavior modelling of concrete in low and high strain rate dynamics[J].Computers and Structures,2003,81(13):1287-1299.
[10]Woo C W,Asundi A,Deng W.On rate-dependent plasticity linear viscoelastic constitutive equations[J].International Journal of Solids andStructures,1995,32(12):1793-1803.
[11]Alexan L.Constitutive modelling finite thermoviscoplasticity:a physical approach based on nonlinear rheological models[J].International Journalof Plasticity,2000,16(3):469-494.
[12]Carosio A,Willam K,Etse G.On the consistency of viscoplastic formulations[J].International Journal of Solids and Structures,2000,37(48150):7349-7369.
[13]Oh B H.Behavior of concrete under dynamic tensile loads[J].ACI Materials Journal,1987,84(1/2):8-13.
[14]Cernocky E P.Evalution of a uniaxial nonlinear second-order differential overstress model for rate-dependence[J].Creep and Relaxation.In-ternational of Journal Solids and Structures,1983,19(9):753-766.
[15]Perzyna P,Pecherski R B.Modified theory of viscoplasticity physical foundations&identification of material function for advanced strains[J].Archtectche of Mechanics,1983,35(3):423-436.
[16]Perzyna P.Fundmental problem in visco-plasticity[M].Advances in Applied Mechanics,1966,9,243-377.
[17]Martin J B,et al.Internal variable formulations of elastic-plastic dynamic problems[J].Intenational Journal of Impact Engineering,1996,18(7/8):849-858.
[18]Pagnoni T,et al.Anonlinear three-dimensional analysis of reinforced concrete based on a bounding surface model[J].Computers and Structures,1992,43(1):1-12.
[19]王湛,甄永辉.混凝土本构关系边界面模型[J].工程力学,1999,16(3):120-129.
[20]肖诗云,林皋,等.Drucker-Prager材料一致率型本构模型[J].工程力学,2003,20(4):147-151.
[21]Park S W,Xia Q,Zhou M.Dynamic behavior of concrete at high strain rates and pressures II.numerical simulation[J].International Journal ofImpact Engineering,2001,(25):887-910.
[22]Raguenean F,Gatuingt F.Inelastic behavior modelling of concrete in lowand high strain rate dynamics[J].Computers and Structures,2003,81:1287-1299.
[23]匡震邦.非线性连续介质力学[M].上海:上海交通大学出版社,2002.124-144.
[24]Belyschko T,et al.Nonlinear Finite Elements for Continua and Structures[M].庄茁译.连续体和结构的非线性有限元.北京:清华大学出版社.2002.64-121.
[25]Wilfried B K,Rainer P.Elasto-plastic damage-theories and elasto-plastic fracturing theories-a comparison[J].Computational materials science,1998,13(1):117-131.
[26]肖诗云,林皋,李宏男.拱坝非线性地震反应分析[J].地震工程与工程振动,2002,22(4):36-40.
[27]林皋,陈健云,肖诗云.混凝土的动力特性与拱坝的非线性地震响应[J].水利学报,2003,(6):6-12.
[28]陈健云.基于速率相关混凝土损伤模型的高拱坝地震响应分析[J].土木工程学报,2003,36(10):46-50.
[29]杨桂通,熊祝华.塑性动力学[M].北京:清华大学出版社,1984.58-65.
[30]卓家寿.非线性固体力学基础[M].北京:水利水电出版社,1996.109-110.
[31]Yang B L,Dafalias Y F,et al.A bounding surface plasticity model for concrete[J].Journal of Engineering Mechanics,1985,111(3):359-380.
[32]Puzrin A M,Houlsby G T.A thermomechanical framework for rate-independent dissipative materials with internal functions[J].InternationalJournal of Plasticity.2001,17,1147-1165.
[33]黄克智,黄永刚.固体本构关系[M].北京:清华大学出版社,1999.
[34]Houlsby G T,Puzrin A M.A Thermomechanical Framework for Constitutive Models for Rate-Independent Dissipative Materials[J].InternationalJournal of Plasticity.2000,16,1017-1047.
[35]Murakami S,Kamiya K.Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics[J].Interna-tional of Mechanical Science,1997,39(4):473-486.
[36]Shen X P,Mroz Z,Xu B Y.Constitutive theory of plasticity coupled with orthotropic damage for geomaterials[J].Applied Mathematics and Me-chanics,2001,22(9):1028-1034.
[37]Houlsby G T,et al.Rate-dependent plasticity models derived from potential functions[J].J.Rheol,2002,46(1):113-126.
[38]Purzin A M,Houlsby G T.Rate-dependent hyperplasticity with internal functions[J].Journal of Engineering Mechanics,2003,129(3):252-263.
[39]Simo S C,Pister K C.Remarks on rate constitutive equations for finite deformation problems:computational implications[J].Computer Methods inApplied Mechanics and Engineering,1984,46(2):201-215.
[40]Simo S C.A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations[J].ComputerMethods in Applied Mechanics and Engineering,1985,49(2):221-245.
[41]黄克智.损伤与断裂[A].塑性力学进展[C].北京:中国铁道出版社,1988,31-37.
[42]Henry W,Haslach Jr.A non-equilibrium thermodynamic geometric structure for thermoviscoplasticity with maximum dissipation[J].InternationalJournal of Plasticity,2002,18(1):127-153.
[43]Lemaitre J,Chaboche J L.Mecanique des materiaux solids[M].Dunod,1996.中译本余天庆,吴玉树.固体材料力学.北京:国防工业出版社,1997:61-68.
[44]Rahouadj R,et al.A thermodynamic approach with internal variables using Lagrange formalism.Part I-General framework[J].Mechanics Re-search Communications,2003,30(1):109-117.
[45]陈建康,等.含两类内变量的一种非线性粘弹性本构模型[J].扬州大学学报,1999,2(2):60-63.
[46]Matin J B,etc.Internal variable formulations of elastic-plastic dynamic problems[J].Internatioanl Journal of Impact Engineering,1996,18(7/8):849-858.
[47]朱兆祥.塑性理论中的内变量方法[A].王仁,等编.塑性力学进展[C].北京:中国铁道出版社,1988,21-30.
[48]Brunig M.Numerical analysis and elastic plastic deformation behavior of anisotropically damaged solids[J].International Journal of Plasticity.2002,18(7):1237-1270.
[49]Brunig M.An anisotropic ductile damage model based on irreversible thermodynamics[J].International Journal of Plasticity.2003,19,1679-1713.
[50]Lorrian M,Loland K E.Damage theory applied to concrete[A].F.H.Wittman.Fracture Mechanics of Concrete[C].1983.341-369.
[51]Vladyslav P G.Non-linear one-dimensional continuum damage theory[J].International Journal of Engineering Science,1996,38(10):1139-1150.
[52]Faria R,Oliver J,Cervera M.A strain-based plastic viscous-damage model for massive concrete structures[J].International Journal of Solids andStructures,1998,35(14):1534-1588.
[53]李兆霞.损伤力学及其应用[M].北京:科学出版社,2002.93-114.
[54]Valliappan S,Yazdchi M,Khalili N.Seismic analysis of arch dams-a continuum damage mechanics approach[J].international Journal for numeri-cal Methods in Engineering,1999,45(12):1695-1724.
[55]Lee J,Gregory L F.A Plastic Damage Concrete Model for Earthquake Analysis of Dams[J].Earthquake Engineering and Structural Dynamics,1998,27(9):937-956.
[56]Cervera M,Oliver J,Manzoli O.A rate-dependent isotropic damage model for the seismic analysis of concrete dams[J].Earthquake Engineeringand Structural Dynamics,1996,25(9):987-1010.
[57]Carol I,Bazant Z P.Damage and plasticity in microplane theory[J].International Journal of Solids and Structures,1997,37(29):3807-3835.
[58]唐春安,朱万成.混凝土细观损伤与数值模拟[M].科学出版社,2002,1-11.
[59]Li Q B,et al.Dynamic damage constitutive model of concrete in uniaxial tension[J].Engineering Fracture Mechanics,1996,53(3):449-455.
[60]李庆斌,王光纶,张楚汉.混凝土III型裂缝动静力损伤断裂分析[J].工程力学,1995,12(3):1-6.
[61]Valanis K C.On the substance of rivlin’s remarks on the endochronic theory[J].International Journal of Solids and Structures,1981,17(2):249-265.
[62]范镜泓.本构关系的内蕴时间理论及其应用[A].塑性力学进展[C].北京:中国铁道出版社.1988,66-118.
[63]Bazant Z P,Bhat P.Endochronic theory of inelasticity and failure of concrete[J].Journal of Engineering Mechanics Division,ASCE,1976,102(EM4):701-722.
[64]Bazant Z P,Shieh C L.Endochronic model for nonlinear triaxial behavior of concrete[J].Nuclear Engineering and Design,1978,47(2):305-315.
[2]蒋昭镳,等.混凝土结构动态安全分析的重要基础-混凝土动态力学性能[J].宁波大学学报,1997,10(2):50-57.
[3]Bicanic N,Zienkiewicz O C.Constitutive Model for concrete under Dynamic Loading[J].Earthquake Engineering and Structural Dynamics,1983,11(5):689-710.
[4]林皋,陈健云.混凝土大坝的抗震安全评价[J].水利学报,2001,(2):8-15.
[5]Comi C,Perego U.Variationally consistent generalized variable formulation of the elastoplastic rate problem[J].Mat.Acc.Lincei,1991,2(9):177-190.
[6]Eibl J,Hurtienne B S.Strain-rate-sensitive constitutive law for concrete[J].Journal of Engineering Mechanics,1999,125(12):1411-1420.
[7]肖诗云,林皋,等.应变率对混凝土抗拉特性影响[J].大连理工大学学报,2001,41(6):721-725.
[8]董毓利,谢和平,等.不同应变率下混凝土受压全过程的试验研究及其本构模型[J].水利学报,1997,(7):72-77.
[9]Raguenean F,Gatuingt F.Inelastic behavior modelling of concrete in low and high strain rate dynamics[J].Computers and Structures,2003,81(13):1287-1299.
[10]Woo C W,Asundi A,Deng W.On rate-dependent plasticity linear viscoelastic constitutive equations[J].International Journal of Solids andStructures,1995,32(12):1793-1803.
[11]Alexan L.Constitutive modelling finite thermoviscoplasticity:a physical approach based on nonlinear rheological models[J].International Journalof Plasticity,2000,16(3):469-494.
[12]Carosio A,Willam K,Etse G.On the consistency of viscoplastic formulations[J].International Journal of Solids and Structures,2000,37(48150):7349-7369.
[13]Oh B H.Behavior of concrete under dynamic tensile loads[J].ACI Materials Journal,1987,84(1/2):8-13.
[14]Cernocky E P.Evalution of a uniaxial nonlinear second-order differential overstress model for rate-dependence[J].Creep and Relaxation.In-ternational of Journal Solids and Structures,1983,19(9):753-766.
[15]Perzyna P,Pecherski R B.Modified theory of viscoplasticity physical foundations&identification of material function for advanced strains[J].Archtectche of Mechanics,1983,35(3):423-436.
[16]Perzyna P.Fundmental problem in visco-plasticity[M].Advances in Applied Mechanics,1966,9,243-377.
[17]Martin J B,et al.Internal variable formulations of elastic-plastic dynamic problems[J].Intenational Journal of Impact Engineering,1996,18(7/8):849-858.
[18]Pagnoni T,et al.Anonlinear three-dimensional analysis of reinforced concrete based on a bounding surface model[J].Computers and Structures,1992,43(1):1-12.
[19]王湛,甄永辉.混凝土本构关系边界面模型[J].工程力学,1999,16(3):120-129.
[20]肖诗云,林皋,等.Drucker-Prager材料一致率型本构模型[J].工程力学,2003,20(4):147-151.
[21]Park S W,Xia Q,Zhou M.Dynamic behavior of concrete at high strain rates and pressures II.numerical simulation[J].International Journal ofImpact Engineering,2001,(25):887-910.
[22]Raguenean F,Gatuingt F.Inelastic behavior modelling of concrete in lowand high strain rate dynamics[J].Computers and Structures,2003,81:1287-1299.
[23]匡震邦.非线性连续介质力学[M].上海:上海交通大学出版社,2002.124-144.
[24]Belyschko T,et al.Nonlinear Finite Elements for Continua and Structures[M].庄茁译.连续体和结构的非线性有限元.北京:清华大学出版社.2002.64-121.
[25]Wilfried B K,Rainer P.Elasto-plastic damage-theories and elasto-plastic fracturing theories-a comparison[J].Computational materials science,1998,13(1):117-131.
[26]肖诗云,林皋,李宏男.拱坝非线性地震反应分析[J].地震工程与工程振动,2002,22(4):36-40.
[27]林皋,陈健云,肖诗云.混凝土的动力特性与拱坝的非线性地震响应[J].水利学报,2003,(6):6-12.
[28]陈健云.基于速率相关混凝土损伤模型的高拱坝地震响应分析[J].土木工程学报,2003,36(10):46-50.
[29]杨桂通,熊祝华.塑性动力学[M].北京:清华大学出版社,1984.58-65.
[30]卓家寿.非线性固体力学基础[M].北京:水利水电出版社,1996.109-110.
[31]Yang B L,Dafalias Y F,et al.A bounding surface plasticity model for concrete[J].Journal of Engineering Mechanics,1985,111(3):359-380.
[32]Puzrin A M,Houlsby G T.A thermomechanical framework for rate-independent dissipative materials with internal functions[J].InternationalJournal of Plasticity.2001,17,1147-1165.
[33]黄克智,黄永刚.固体本构关系[M].北京:清华大学出版社,1999.
[34]Houlsby G T,Puzrin A M.A Thermomechanical Framework for Constitutive Models for Rate-Independent Dissipative Materials[J].InternationalJournal of Plasticity.2000,16,1017-1047.
[35]Murakami S,Kamiya K.Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics[J].Interna-tional of Mechanical Science,1997,39(4):473-486.
[36]Shen X P,Mroz Z,Xu B Y.Constitutive theory of plasticity coupled with orthotropic damage for geomaterials[J].Applied Mathematics and Me-chanics,2001,22(9):1028-1034.
[37]Houlsby G T,et al.Rate-dependent plasticity models derived from potential functions[J].J.Rheol,2002,46(1):113-126.
[38]Purzin A M,Houlsby G T.Rate-dependent hyperplasticity with internal functions[J].Journal of Engineering Mechanics,2003,129(3):252-263.
[39]Simo S C,Pister K C.Remarks on rate constitutive equations for finite deformation problems:computational implications[J].Computer Methods inApplied Mechanics and Engineering,1984,46(2):201-215.
[40]Simo S C.A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations[J].ComputerMethods in Applied Mechanics and Engineering,1985,49(2):221-245.
[41]黄克智.损伤与断裂[A].塑性力学进展[C].北京:中国铁道出版社,1988,31-37.
[42]Henry W,Haslach Jr.A non-equilibrium thermodynamic geometric structure for thermoviscoplasticity with maximum dissipation[J].InternationalJournal of Plasticity,2002,18(1):127-153.
[43]Lemaitre J,Chaboche J L.Mecanique des materiaux solids[M].Dunod,1996.中译本余天庆,吴玉树.固体材料力学.北京:国防工业出版社,1997:61-68.
[44]Rahouadj R,et al.A thermodynamic approach with internal variables using Lagrange formalism.Part I-General framework[J].Mechanics Re-search Communications,2003,30(1):109-117.
[45]陈建康,等.含两类内变量的一种非线性粘弹性本构模型[J].扬州大学学报,1999,2(2):60-63.
[46]Matin J B,etc.Internal variable formulations of elastic-plastic dynamic problems[J].Internatioanl Journal of Impact Engineering,1996,18(7/8):849-858.
[47]朱兆祥.塑性理论中的内变量方法[A].王仁,等编.塑性力学进展[C].北京:中国铁道出版社,1988,21-30.
[48]Brunig M.Numerical analysis and elastic plastic deformation behavior of anisotropically damaged solids[J].International Journal of Plasticity.2002,18(7):1237-1270.
[49]Brunig M.An anisotropic ductile damage model based on irreversible thermodynamics[J].International Journal of Plasticity.2003,19,1679-1713.
[50]Lorrian M,Loland K E.Damage theory applied to concrete[A].F.H.Wittman.Fracture Mechanics of Concrete[C].1983.341-369.
[51]Vladyslav P G.Non-linear one-dimensional continuum damage theory[J].International Journal of Engineering Science,1996,38(10):1139-1150.
[52]Faria R,Oliver J,Cervera M.A strain-based plastic viscous-damage model for massive concrete structures[J].International Journal of Solids andStructures,1998,35(14):1534-1588.
[53]李兆霞.损伤力学及其应用[M].北京:科学出版社,2002.93-114.
[54]Valliappan S,Yazdchi M,Khalili N.Seismic analysis of arch dams-a continuum damage mechanics approach[J].international Journal for numeri-cal Methods in Engineering,1999,45(12):1695-1724.
[55]Lee J,Gregory L F.A Plastic Damage Concrete Model for Earthquake Analysis of Dams[J].Earthquake Engineering and Structural Dynamics,1998,27(9):937-956.
[56]Cervera M,Oliver J,Manzoli O.A rate-dependent isotropic damage model for the seismic analysis of concrete dams[J].Earthquake Engineeringand Structural Dynamics,1996,25(9):987-1010.
[57]Carol I,Bazant Z P.Damage and plasticity in microplane theory[J].International Journal of Solids and Structures,1997,37(29):3807-3835.
[58]唐春安,朱万成.混凝土细观损伤与数值模拟[M].科学出版社,2002,1-11.
[59]Li Q B,et al.Dynamic damage constitutive model of concrete in uniaxial tension[J].Engineering Fracture Mechanics,1996,53(3):449-455.
[60]李庆斌,王光纶,张楚汉.混凝土III型裂缝动静力损伤断裂分析[J].工程力学,1995,12(3):1-6.
[61]Valanis K C.On the substance of rivlin’s remarks on the endochronic theory[J].International Journal of Solids and Structures,1981,17(2):249-265.
[62]范镜泓.本构关系的内蕴时间理论及其应用[A].塑性力学进展[C].北京:中国铁道出版社.1988,66-118.
[63]Bazant Z P,Bhat P.Endochronic theory of inelasticity and failure of concrete[J].Journal of Engineering Mechanics Division,ASCE,1976,102(EM4):701-722.
[64]Bazant Z P,Shieh C L.Endochronic model for nonlinear triaxial behavior of concrete[J].Nuclear Engineering and Design,1978,47(2):305-315.
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