混凝土损伤类本构关系研究现状与进展
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摘要
从弹性与弹塑性损伤、各向同性与各向异性损伤、静力与动力损伤、宏观唯象以及细观和微观损伤、局部化与非局部化损伤5个层面介绍了国内外在混凝土损伤类本构关系领域的研究历史和进展情况,并对涉及本构关系的损伤演化规律、本构数值方法、损伤物理机理等内容进行了讨论.从对比分析可以看出弹性以及各向同性损伤模型的构建简便、计算成本低,弹塑性损伤模型适于模拟不可恢复变形,各向异性和微、细观损伤模型能更客观而全面地描述混凝土非线性物理机制,非局部化损伤模型在模拟应变局部化现象以及克服网格依赖性方面具有优势等.通过分析各类模型的建立方法、基本特征、适用范围等,架构起空间多维视角的研究框架,揭示出该领域一些热点问题,并对其研究前景进行了展望.
The research history and developments in the realm of damage constitutive relation of concrete are introduced from the five perspectives,including elastic and elasto-plastic damage,isotropic and anisotropic damage,static and dynamic damage,macro and micro-meso damage,as well as local and non-local damage.The issues of damage evolvement,numerical methods and physical mechanism are also discussed.The contrastive analyses demonstrate that elastic and isotropic damage model is characterized with simple constructions and low computation costs,elasto-plastic damage model is suitable for simulation of irreversible deformations,anisotropic and micro-meso damage model more objectively and comprehensively describes nonlinear physical mechanisms of concrete,and non-local damage model has advantages in terms of simulation of strain localization and elimination of mesh sensitivity.By means of analyzing the construction approaches,basic characteristics and application spheres of various models,a research framework with spatial multi-dimensional perspectives is constructed,the key issues in this field are disclosed and the research prospects are predicted.
The research history and developments in the realm of damage constitutive relation of concrete are introduced from the five perspectives,including elastic and elasto-plastic damage,isotropic and anisotropic damage,static and dynamic damage,macro and micro-meso damage,as well as local and non-local damage.The issues of damage evolvement,numerical methods and physical mechanism are also discussed.The contrastive analyses demonstrate that elastic and isotropic damage model is characterized with simple constructions and low computation costs,elasto-plastic damage model is suitable for simulation of irreversible deformations,anisotropic and micro-meso damage model more objectively and comprehensively describes nonlinear physical mechanisms of concrete,and non-local damage model has advantages in terms of simulation of strain localization and elimination of mesh sensitivity.By means of analyzing the construction approaches,basic characteristics and application spheres of various models,a research framework with spatial multi-dimensional perspectives is constructed,the key issues in this field are disclosed and the research prospects are predicted.
引文
[1]LEMAITRE J,DESMORAT R.Engineering Damage Mechanics[M].Berlin:Springer-Verlag,2005:45-60
[2]#12
[3]KRAJCINOVIC D,FONSEKA G U.Continuum damage theory of brittle materials,Part1:General theory[J].Journal of Applied Mechanics,1981,48(4):809-824
[4]SIDOROFF F.Description of anisotropic damage application to elasticity[C]//IUTAM Colloquium,Physic Nonlinearities in Structural Analysis.Berlin:Springer-Verlag,1981:237-244
[5]余天庆,钱济成.损伤理论及其应用[M].北京:国防工业出版社,1993:139-153
[6]COMI C,PEREGO U.Fracture energy based bi-dissipative damage model for concrete[J].International Journal of Solids and Structures,2001,38(36-37):6427-6454
[7]YAZDANI S,SCHREYER H L.Combined plasticity and damage mechanics model for plain concrete[J].Journal of Engineering Mechanics,1990,116(7):1435-1450
[8]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
[9]FARIA R,OLIVER J,CERVERA M.A strain-based plastic viscous-damage model for massive concrete structures[J].International Journal of Solids and Structures,1998,35(14):1533-1558
[10]SIMO J C,JU J W.Strain-and stress-based continuum damage models-I.Formulation[J].International Journal of Solids and Structures,1987,23(7):821-840
[11]SIMO J C,JU J W.Strain-and stress-based continuum damage models-II.Computational aspects[J].International Journal of Solids and Structures,1987,23(7):841-869
[12]JU J W.On energy-based coupled elastoplastic damage theories:constitutive modeling and computational aspects[J].International Journal of Solids and Structures,1989,25(7):803-833
[13]ABU-LEBDEH T M,VOYIADJI G Z.Plasticity-damage model for concrete under cyclic multiaxial loading[J].Journal of Engineering Mechanics,1993,119(7):1465-1484
[14]SALARI M R,SAEB S,WILLAM K J,et al.A coupled elastoplastic damage model for geomaterials[J].Computer Methods in Applied Mechanics Engineering,2004,193(27-29):2625-2643
[15]ADDESSI D,MARFIA S,SACCO E.A plastic nonlocal damage model[J].Computer Methods in Applied Mechanics Engineering,2002,191(13-14):1291-1310
[16]RESENDE L.A damage mechanics constitutive theory for the inelastic behaviour of concrete[J].Computer Methods in Applied Mechanics and Engineering,1987,60(1):57-93
[17]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
[18]YAZDANI S,SCHREYER H L.An anisotropic damage model with dilatation for concrete[J].Mechanics of Materials,1988,7(3):231-244
[19]杜荣强.混凝土静动弹塑性损伤模型及在大坝分析中的应用[D].大连:大连理工大学,2006
[20]LI Q B,ZHANG C H,WANG G L.Dynamic damage constitutive model of concrete in uniaxial tension[J].Engineering Fracture Mechanics,1996,53(3):449-455
[21]刘军.混凝土损伤及其应用[D].大连:大连理工大学,2004
[22]陈健云,李静,林皋.基于率性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
[23]BAZANT Z P,OH B H.Microplane model for progressive of concrete and rock[J].Journal of Engineering Mechanics,1985,111(4):559-582
[24]唐春安,朱万成.混凝土损伤与断裂——数值试验[M].北京:科学出版社,2003
[25]唐雪松,蒋持平,郑健龙.弹性损伤材料的应力-应变关系与损伤演化方程[J].长沙交通学院学报,1999,12(4):8-14
[26]冯西桥.脆性材料的细观损伤理论和损伤结构的安定性分析[D].北京:清华大学,1995
[27]GURSON A L.Continuum theory of ductile rupture by void nucleation and growth.Part I.Yield criteria and flow rules for porous ductile media[J].Journal of Engineering Materials and Technology,1977,99(1):2-15
[28]黄克智,肖纪美.材料的损伤断裂机理和宏微观力学理论[M].北京:清华大学出版社,2000
[29]BAZANT Z P,BELYTSCHOKO T,CHANG T P.Continuum model for strain softening[J].Journal of Structural Engineering,1984,110:1666-1692
[30]JIRASEK M,ROLSHOVEN S.Comparison of integral-type nonlocal plasticity models for strain-softening materials[J].International Journal of Engineering Science,2003,41(13-14):1553-1602
[31]PEERLINGS R H J,DE BORST R,BREKELMANS W A M,et al.Gradient-enhanced damage for quasi-brittle materials[J].International Journal for Numerical Methods in Engineering,1996,39:3391-3403
[32]LUBLINER J,OLIVER J,OLLER S,et al.A plastic-damage model for concrete[J].International Journal of Solids and Structures,1989,25(3):299-326
[33]LI Z X,MROZ Z.A viscoplastic model combined damage and smeared crack for softening of concrete[J].Acta Mechanica Solida Sinica,1995,16(1):22-30
[34]LEE J,FENVES G L.A return-mapping algorithm for plastic-damage models:3-D and plane stress formulation[J].International Journal for Numerical Methods in Engineering,2001,50(2):487-506
[35]马景槐.弹塑性损伤结构耦合分析的虚功原理和线性互补解法[J].应用数学和力学,2000,21(2):164-170
[36]吴建营.混凝土弹塑性损伤本构模型研究Ⅱ:数值计算和试验验证[J].土木工程学报,2005,38(9):21-27
[37]JEFFERSON A D.A plastic-damage-contact model for concrete.II.Model implementation with implicit return-mapping algorithm and consistent tangentmatrix[J].International Journal of Solids and Structures,2003,40(22):6001-6022
[38]AL-RUB R K A,VOYIADJIS G Z.A direct finite element implementation of the gradient-dependent theory[J].International Journal for Numerical Methods in Engineering,2005,63(4):603-629
[39]JIRASEK M,MARFIA S.Non-local damage model based on displacement averaging[J].International Journal for Numerical Methods in Engineering,2005,63(1):77-102
[40]ASHBY M F,SAMMIS C G.The damage mechanics of brittle solids in compression[J].Pure and Applied Geophysics,1990,133(3):489-521
[41]BURLION N,GATUINGT F,PIJAUDIER-CABOT G,et al.Compaction and tensile damage in concrete:constitutive modelling and application to dynamics[J].Computer Methods in Applied Mechanics and Engineering,2000,183(3-4):291-308
[42]殷有泉.岩石的塑性、损伤及其本构表述[J].地质科学,1995,30(1):63-70
[43]KRAJCINOVIC D.Damage mechanics:accomplishments,trends and needs[J].International Journal of Solids and Structures,2000,37(1-2):267-277
[44]葛修润,任建喜,孙红,等.岩土损伤力学宏细观试验研究[M].北京:科学出版社,2004
[45]李兆霞.损伤力学及其应用[M].北京:科学出版社,2002:132-136
[46]HASHASH Y M A,WOTRING D C,YAO J I C,et al.Visual framework for development and use of constitutive models[J].International Journal for Numerical and Analytical Methods in Geomechanics,2002,26(15):1493-1513
[47]宋玉普.多种混凝土材料的本构关系和破坏准则[M].北京:中国水利水电出版社,2002:68-73
[48]李杰,杨卫忠.混凝土弹塑性随机损伤本构关系研究[J].土木工程学报,2009,42(2):30-37
[2]#12
[3]KRAJCINOVIC D,FONSEKA G U.Continuum damage theory of brittle materials,Part1:General theory[J].Journal of Applied Mechanics,1981,48(4):809-824
[4]SIDOROFF F.Description of anisotropic damage application to elasticity[C]//IUTAM Colloquium,Physic Nonlinearities in Structural Analysis.Berlin:Springer-Verlag,1981:237-244
[5]余天庆,钱济成.损伤理论及其应用[M].北京:国防工业出版社,1993:139-153
[6]COMI C,PEREGO U.Fracture energy based bi-dissipative damage model for concrete[J].International Journal of Solids and Structures,2001,38(36-37):6427-6454
[7]YAZDANI S,SCHREYER H L.Combined plasticity and damage mechanics model for plain concrete[J].Journal of Engineering Mechanics,1990,116(7):1435-1450
[8]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
[9]FARIA R,OLIVER J,CERVERA M.A strain-based plastic viscous-damage model for massive concrete structures[J].International Journal of Solids and Structures,1998,35(14):1533-1558
[10]SIMO J C,JU J W.Strain-and stress-based continuum damage models-I.Formulation[J].International Journal of Solids and Structures,1987,23(7):821-840
[11]SIMO J C,JU J W.Strain-and stress-based continuum damage models-II.Computational aspects[J].International Journal of Solids and Structures,1987,23(7):841-869
[12]JU J W.On energy-based coupled elastoplastic damage theories:constitutive modeling and computational aspects[J].International Journal of Solids and Structures,1989,25(7):803-833
[13]ABU-LEBDEH T M,VOYIADJI G Z.Plasticity-damage model for concrete under cyclic multiaxial loading[J].Journal of Engineering Mechanics,1993,119(7):1465-1484
[14]SALARI M R,SAEB S,WILLAM K J,et al.A coupled elastoplastic damage model for geomaterials[J].Computer Methods in Applied Mechanics Engineering,2004,193(27-29):2625-2643
[15]ADDESSI D,MARFIA S,SACCO E.A plastic nonlocal damage model[J].Computer Methods in Applied Mechanics Engineering,2002,191(13-14):1291-1310
[16]RESENDE L.A damage mechanics constitutive theory for the inelastic behaviour of concrete[J].Computer Methods in Applied Mechanics and Engineering,1987,60(1):57-93
[17]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
[18]YAZDANI S,SCHREYER H L.An anisotropic damage model with dilatation for concrete[J].Mechanics of Materials,1988,7(3):231-244
[19]杜荣强.混凝土静动弹塑性损伤模型及在大坝分析中的应用[D].大连:大连理工大学,2006
[20]LI Q B,ZHANG C H,WANG G L.Dynamic damage constitutive model of concrete in uniaxial tension[J].Engineering Fracture Mechanics,1996,53(3):449-455
[21]刘军.混凝土损伤及其应用[D].大连:大连理工大学,2004
[22]陈健云,李静,林皋.基于率性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
[23]BAZANT Z P,OH B H.Microplane model for progressive of concrete and rock[J].Journal of Engineering Mechanics,1985,111(4):559-582
[24]唐春安,朱万成.混凝土损伤与断裂——数值试验[M].北京:科学出版社,2003
[25]唐雪松,蒋持平,郑健龙.弹性损伤材料的应力-应变关系与损伤演化方程[J].长沙交通学院学报,1999,12(4):8-14
[26]冯西桥.脆性材料的细观损伤理论和损伤结构的安定性分析[D].北京:清华大学,1995
[27]GURSON A L.Continuum theory of ductile rupture by void nucleation and growth.Part I.Yield criteria and flow rules for porous ductile media[J].Journal of Engineering Materials and Technology,1977,99(1):2-15
[28]黄克智,肖纪美.材料的损伤断裂机理和宏微观力学理论[M].北京:清华大学出版社,2000
[29]BAZANT Z P,BELYTSCHOKO T,CHANG T P.Continuum model for strain softening[J].Journal of Structural Engineering,1984,110:1666-1692
[30]JIRASEK M,ROLSHOVEN S.Comparison of integral-type nonlocal plasticity models for strain-softening materials[J].International Journal of Engineering Science,2003,41(13-14):1553-1602
[31]PEERLINGS R H J,DE BORST R,BREKELMANS W A M,et al.Gradient-enhanced damage for quasi-brittle materials[J].International Journal for Numerical Methods in Engineering,1996,39:3391-3403
[32]LUBLINER J,OLIVER J,OLLER S,et al.A plastic-damage model for concrete[J].International Journal of Solids and Structures,1989,25(3):299-326
[33]LI Z X,MROZ Z.A viscoplastic model combined damage and smeared crack for softening of concrete[J].Acta Mechanica Solida Sinica,1995,16(1):22-30
[34]LEE J,FENVES G L.A return-mapping algorithm for plastic-damage models:3-D and plane stress formulation[J].International Journal for Numerical Methods in Engineering,2001,50(2):487-506
[35]马景槐.弹塑性损伤结构耦合分析的虚功原理和线性互补解法[J].应用数学和力学,2000,21(2):164-170
[36]吴建营.混凝土弹塑性损伤本构模型研究Ⅱ:数值计算和试验验证[J].土木工程学报,2005,38(9):21-27
[37]JEFFERSON A D.A plastic-damage-contact model for concrete.II.Model implementation with implicit return-mapping algorithm and consistent tangentmatrix[J].International Journal of Solids and Structures,2003,40(22):6001-6022
[38]AL-RUB R K A,VOYIADJIS G Z.A direct finite element implementation of the gradient-dependent theory[J].International Journal for Numerical Methods in Engineering,2005,63(4):603-629
[39]JIRASEK M,MARFIA S.Non-local damage model based on displacement averaging[J].International Journal for Numerical Methods in Engineering,2005,63(1):77-102
[40]ASHBY M F,SAMMIS C G.The damage mechanics of brittle solids in compression[J].Pure and Applied Geophysics,1990,133(3):489-521
[41]BURLION N,GATUINGT F,PIJAUDIER-CABOT G,et al.Compaction and tensile damage in concrete:constitutive modelling and application to dynamics[J].Computer Methods in Applied Mechanics and Engineering,2000,183(3-4):291-308
[42]殷有泉.岩石的塑性、损伤及其本构表述[J].地质科学,1995,30(1):63-70
[43]KRAJCINOVIC D.Damage mechanics:accomplishments,trends and needs[J].International Journal of Solids and Structures,2000,37(1-2):267-277
[44]葛修润,任建喜,孙红,等.岩土损伤力学宏细观试验研究[M].北京:科学出版社,2004
[45]李兆霞.损伤力学及其应用[M].北京:科学出版社,2002:132-136
[46]HASHASH Y M A,WOTRING D C,YAO J I C,et al.Visual framework for development and use of constitutive models[J].International Journal for Numerical and Analytical Methods in Geomechanics,2002,26(15):1493-1513
[47]宋玉普.多种混凝土材料的本构关系和破坏准则[M].北京:中国水利水电出版社,2002:68-73
[48]李杰,杨卫忠.混凝土弹塑性随机损伤本构关系研究[J].土木工程学报,2009,42(2):30-37
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