改进的混凝土弹塑性损伤本构
|
摘要
针对现有的混凝土弹塑性损伤本构模型的缺陷,利用能够反映混凝土拉压方向不同强度特性的Hsieh-Ting-Chen四参数屈服函数,基于热力学耗散原理提出了一种新的混凝土弹塑性损伤本构模型,并且进行单轴拉伸和单轴压缩下,应力-应变关系的数值试验。和其它混凝土弹塑性损伤本构模型相比,提出的弹塑性损伤本构模型有其优点:只有一个未知参数,其余的参数都和Hsieh-Ting-Chen混凝土四参数屈服函数的参数相同,易于确定未知参数;并且拉压损伤演化定律采用相同的计算公式,能够较好地反映混凝土在复杂应力状态下的拉压不同的损伤特性及应力-应变曲线。
In order to improve the limitation and lacuna of the traditional damage constitutive models for concrete,by using Hsieh-Ting-Chen four-parameter yield function,which could reflect the different strength characteristics of concrete in tension and compression,a new elasto-plasticity damage constitutive models for concrete was proposed based on the energy dissipation principle.Moreover,numerical test for concrete stress-strain relation under uniaxial tension and compression was given.Compared with other damage constitutive models,the proposed model contained only one unknown parameter and the other parameters could be found in Hsieh-Ting-Chen four-parameter yield function.And the same damage evolution law,which is used for tension and compression,was good for determining stress-strain curves and damage characteristic in complex stress state.
In order to improve the limitation and lacuna of the traditional damage constitutive models for concrete,by using Hsieh-Ting-Chen four-parameter yield function,which could reflect the different strength characteristics of concrete in tension and compression,a new elasto-plasticity damage constitutive models for concrete was proposed based on the energy dissipation principle.Moreover,numerical test for concrete stress-strain relation under uniaxial tension and compression was given.Compared with other damage constitutive models,the proposed model contained only one unknown parameter and the other parameters could be found in Hsieh-Ting-Chen four-parameter yield function.And the same damage evolution law,which is used for tension and compression,was good for determining stress-strain curves and damage characteristic in complex stress state.
引文
[1]Loland K E.Continuous damage model for load response es-timation of concrete[J].Cement and Concrete Research,1980(10):392-492.
[2]Mazars J.Continuous damage theory—Application to con-crete[J].J Eng Mech,1980,115(2):345-365.
[3]Yu Tianqing.Linear segment damage model of concrete[J].Fracture and Capacity of Crack and Concrete,1985(2):14-16.[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.]
[4]Qian Jicheng,Zhou Jianfang.Segment curve model of con-crete damage and application[J].Journal of Hohai Universi-ty,1989(3):40-47.[钱济成,周建方.混凝土分段曲线损伤模型及其应用[J].河海大学学报,1989(3):40-47.]
[5]Yu Haixiang,Wu Jianhua,Li Qiang.A review of concretedamage constitutive Models[J].Journal of ChongqingJianzhu University,2007,29(2):68-72.[于海祥,武建华,李强.混凝土损伤本构模型研究评述[J].重庆建筑大学学报,2007,29(2):68-72.]
[6]Yu Haixiang,Wu Jianhua.An elastoplastic damage constitu-tive model for concrete based on undamaged state[J].Engi-neering Mechanics,2009,26(10):79-85.[于海祥,武建华.基于无损受力状态的混凝土弹塑性损伤本构模型[J].工程力学,2009,26(10):79-85.]
[7]Krajcinovic D.Constitutive equation for damaging platerials[J].J Appl Mech,1983,50(1):355-360.
[8]Krajcinovic D,Lemaitre J.Continuum damage mechanicstheory and applications[M].New York:Springer-Verilag,1987:233-294.
[9]Gao Lubin,Chen Qingguo.An anisotropic damage constitu-tive model for concrete and its applications[M].Beijing:Applied Mechanics,International Academic Publisher,1988:578-583.
[10]余天庆,钱济成.损伤理论及其应用[M].北京:国防工业出版社,1993:10-15.
[11]Peng Xianghe,Yang Chunhe,Wan Ling.Simplified continu-um damage mechanics model for concrete[J].Chinese Jour-nal of Rock Mechanics and Engineering,2004,23(19):3232-3239.[彭向和,杨春和,万玲.一种简化的混凝土损伤本构模型及其应用[J].岩石力学与工程学报,2004,23(19):3232-3239.]
[12]Tao X Y,Phillips D V.Asimplified isotropic damage modelfor concrete under bi-axial stress states[J].Cement andConcrete Composites,2005,27(6):716-726.
[13]Kratzig W B,Polling R.An elasto-plastic damage model forreinforced concrete with minimum number of material param-eters[J].Computers and Structures,2004,82(15/16):1201-1215.
[14]Feng X Q,Yu S W.Micromechanical modeling of tensileresponse of elastic-brittle materials[J].International Journalof Solids and Structures,1995,32(22):3359-3372.
[15]Aifantis E C.Strain gradient interpretation of size effects[J].International Journal of Fracture,1999,95(1/4):299-314.
[16]Peerlings R HJ,Geers M G D,Borst R D,et al.A criticalcomparison of non-local and gradient-enhanced softeningcontinua[J].International Journal and Structures,2001,38:7723-7746.
[17]Yang Lu,Shen Xinpu,Sun Guang.Investigation on the con-stitutive models of elastoplasticity coupled with damage forconcret[J].Journal of Shenyang University of Technology,2005,27(3):321-324.[杨璐,沈新普,孙光.混凝土弹塑性损伤本构理论的研究[J].沈阳工业大学学报,2005,27(3):321-324.]
[18]Shen Xin Pu.Gradient-dependent non-local constitutive for-mulation for thermo-elastic-plasticity coupled with isotropicdamage[J].University of Technology of Troyes,2002(8):88-93.
[19]Yang Lu,Shen Xinpu.A coulomb-plasticity based damagemodel for concrete and its numerical validation[J].Rockand Soil Mechanics,2008,29(12):3318-3322.[杨璐,沈新普.基于Coulomb准则的混凝土塑性损伤本构模型及其数值验证[J].岩土力学,2008,29(12):3318-3322.]
[20]Ding Faxing,Yu Zhiwu.Strength criterion for plain concreteunder multiaxial stress states based on damage poisson’s ra-tio[J].Acta Mechanica Solida Sinica,2007,28(1):13-19.[丁发兴,余志武.基于损伤泊松比的混凝土多轴强度准则[J].固体力学学报,2007,28(1):13-19.]
[21]Wang Zhongqiang,Yu Zhiwu.Concrete damage modelbased on energy loss[J].Journal of Building Materials,2004,7(4):365-369.[王中强,余志武.基于能量损失的混凝土损伤模型[J].建筑材料学报,2004,7(4):365-369.]
[22]Fan Shuli,Chen Jianyun,Fan Wuqiang,et al.Reliability a-nalysis of roller compacted concrete gravity dams subjectedto Earthquake[J].Chinese Journal of Rock Mechanics andEngineering,2008,27(3):564-571.[范书立,陈健云,范武强,等.地震作用下碾压混凝土重力坝的可靠度分析[J].岩石力学与工程学报,2008,27(3):564-571.]
[2]Mazars J.Continuous damage theory—Application to con-crete[J].J Eng Mech,1980,115(2):345-365.
[3]Yu Tianqing.Linear segment damage model of concrete[J].Fracture and Capacity of Crack and Concrete,1985(2):14-16.[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.]
[4]Qian Jicheng,Zhou Jianfang.Segment curve model of con-crete damage and application[J].Journal of Hohai Universi-ty,1989(3):40-47.[钱济成,周建方.混凝土分段曲线损伤模型及其应用[J].河海大学学报,1989(3):40-47.]
[5]Yu Haixiang,Wu Jianhua,Li Qiang.A review of concretedamage constitutive Models[J].Journal of ChongqingJianzhu University,2007,29(2):68-72.[于海祥,武建华,李强.混凝土损伤本构模型研究评述[J].重庆建筑大学学报,2007,29(2):68-72.]
[6]Yu Haixiang,Wu Jianhua.An elastoplastic damage constitu-tive model for concrete based on undamaged state[J].Engi-neering Mechanics,2009,26(10):79-85.[于海祥,武建华.基于无损受力状态的混凝土弹塑性损伤本构模型[J].工程力学,2009,26(10):79-85.]
[7]Krajcinovic D.Constitutive equation for damaging platerials[J].J Appl Mech,1983,50(1):355-360.
[8]Krajcinovic D,Lemaitre J.Continuum damage mechanicstheory and applications[M].New York:Springer-Verilag,1987:233-294.
[9]Gao Lubin,Chen Qingguo.An anisotropic damage constitu-tive model for concrete and its applications[M].Beijing:Applied Mechanics,International Academic Publisher,1988:578-583.
[10]余天庆,钱济成.损伤理论及其应用[M].北京:国防工业出版社,1993:10-15.
[11]Peng Xianghe,Yang Chunhe,Wan Ling.Simplified continu-um damage mechanics model for concrete[J].Chinese Jour-nal of Rock Mechanics and Engineering,2004,23(19):3232-3239.[彭向和,杨春和,万玲.一种简化的混凝土损伤本构模型及其应用[J].岩石力学与工程学报,2004,23(19):3232-3239.]
[12]Tao X Y,Phillips D V.Asimplified isotropic damage modelfor concrete under bi-axial stress states[J].Cement andConcrete Composites,2005,27(6):716-726.
[13]Kratzig W B,Polling R.An elasto-plastic damage model forreinforced concrete with minimum number of material param-eters[J].Computers and Structures,2004,82(15/16):1201-1215.
[14]Feng X Q,Yu S W.Micromechanical modeling of tensileresponse of elastic-brittle materials[J].International Journalof Solids and Structures,1995,32(22):3359-3372.
[15]Aifantis E C.Strain gradient interpretation of size effects[J].International Journal of Fracture,1999,95(1/4):299-314.
[16]Peerlings R HJ,Geers M G D,Borst R D,et al.A criticalcomparison of non-local and gradient-enhanced softeningcontinua[J].International Journal and Structures,2001,38:7723-7746.
[17]Yang Lu,Shen Xinpu,Sun Guang.Investigation on the con-stitutive models of elastoplasticity coupled with damage forconcret[J].Journal of Shenyang University of Technology,2005,27(3):321-324.[杨璐,沈新普,孙光.混凝土弹塑性损伤本构理论的研究[J].沈阳工业大学学报,2005,27(3):321-324.]
[18]Shen Xin Pu.Gradient-dependent non-local constitutive for-mulation for thermo-elastic-plasticity coupled with isotropicdamage[J].University of Technology of Troyes,2002(8):88-93.
[19]Yang Lu,Shen Xinpu.A coulomb-plasticity based damagemodel for concrete and its numerical validation[J].Rockand Soil Mechanics,2008,29(12):3318-3322.[杨璐,沈新普.基于Coulomb准则的混凝土塑性损伤本构模型及其数值验证[J].岩土力学,2008,29(12):3318-3322.]
[20]Ding Faxing,Yu Zhiwu.Strength criterion for plain concreteunder multiaxial stress states based on damage poisson’s ra-tio[J].Acta Mechanica Solida Sinica,2007,28(1):13-19.[丁发兴,余志武.基于损伤泊松比的混凝土多轴强度准则[J].固体力学学报,2007,28(1):13-19.]
[21]Wang Zhongqiang,Yu Zhiwu.Concrete damage modelbased on energy loss[J].Journal of Building Materials,2004,7(4):365-369.[王中强,余志武.基于能量损失的混凝土损伤模型[J].建筑材料学报,2004,7(4):365-369.]
[22]Fan Shuli,Chen Jianyun,Fan Wuqiang,et al.Reliability a-nalysis of roller compacted concrete gravity dams subjectedto Earthquake[J].Chinese Journal of Rock Mechanics andEngineering,2008,27(3):564-571.[范书立,陈健云,范武强,等.地震作用下碾压混凝土重力坝的可靠度分析[J].岩石力学与工程学报,2008,27(3):564-571.]
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心