基于能量的混凝土单轴受压塑性损伤本构模型

英文篇名：A plastic-damage uniaxial compression constitutive of concrete
中文刊名：土木工程学报
英文刊名：China Civil Engineering Journal
作者：李祚华 ; 李安 ; 滕军
英文作者：Li Zuohua1 ; 2 Li An1 ; 2 Teng Jun1 ; 2(1.Harbin Institute of Technology Shenzhen Graduate School ; Shenzhen 518055 ; China ; 2.Shenzhen Key Lab of Urban & Civil Engineering Disaster Prevention & Reduction ; Shenzhen 518055 ; China)
中文关键词：混凝土 ; 本构模型 ; 单轴 ; 损伤本构 ; 塑性自由能
英文关键词：concrete ; constitutive model ; uniaxial compression ; damage constitutive ; plastic Helmholtz free energy
出版日期：2012-08-15
机构：哈尔滨工业大学深圳研究生院;深圳市城市与土木工程防灾减灾重点实验室;
年：2012
期：S2
出版单位：土木工程学报

摘要

基于不可逆热力学理论及连续介质损伤力学理论,考虑材料的塑性变形与损伤变量之间的耦合关系,认为混凝土材料的塑性Helmholtz自由能与弹性Helmholtz自由能间存在某种内变量函数关系,以此重新定义损伤能量释放率的表达式,并给出内变量函数的具体表达式。参考Weibull分布曲线的形状,建立了损伤能量释放率与损伤变量的关系,推导单轴受压混凝土的损伤演化方程。根据混凝土材料单轴受压下的塑性特征,给出材料塑性变形关系的经验公式,从而建立完整的单轴受压混凝土的塑性损伤本构模型。通过与混凝土的单轴受压试验结果进行对比分析,验证所建模型的有效性,结果表明所建模型能较真实地反映混凝土的非线性行为和损伤演化过程。
Based on Irreversible Thermodynamic Theory and continuum damage mechanics,accounting the coupling relation of plastic stain and damage,an internal variable function was supposed between the plastic Helmholtz energy and the elastic Helmholtz energy.The expression of plastic Helmholtz energy was confirmed by proposing an expression of the internal function.Accounting the shape of Weibull distribution,the damage evolution equation of uniaxial compression concrete was deduced by establishing the relation of damage variable and damage energy dissipation rate,which was redefined by the new expression of plastic Helmholtz energy.And an empirical expression of plastic strain was given based on the plastic characteristic of the material.Uniaxial compression test results were used for verification of the model,which can reflect well the nonlinear feature and damage evolution of concrete.

引文

[1]Loland K E.Continuous damage model for load-responseestimation of concrete[J].Cement and ConcreteResearch,1980,10(3):395-402
    [2]Mazars J,Lemaitre J.Application of continuous damagemechanics to strain and fracture behavior of concrete[M].Evanston,USA:Springer,1984:375-378
    [3]Krajcinovic D.Constitutive equations for damaging materials[J].Journal of Applied Mechanics,1983(50):355-360
    [4]楼志文.损伤力学基础[M].西安:西安交通大学出版社,1991
    [5]Chow C L,Wang J.Anisotropic theory of continuum damagemechanics for ductile fracture[J].Engineering FractureMechanics,1987,27(5):547-558
    [6]李祚华.高层钢筋混凝土结构损伤模型及地震损伤描述[D].哈尔滨:哈尔滨工业大学,2010
    [7]高峰,谢和平,赵鹏.Weibull模量和岩石强度的分形性质[J].科学通报,1993,38(15):1435-1438
    [8]徐世烺,赵国藩.混凝土断裂韧度的概率模型研究[J].土木工程学报,1988,21(4):9-23
    [9]董毓利,谢和平,赵鹏.砼受压全过程损伤的实验研究[J].实验力学,1995,10(2):95-102
    [10]丁发兴,余志武,欧进萍.混凝土单轴受力损伤本构模型[J].长安大学学报:自然科学版,2008,28(4):70-73
    [11]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(2):216-221
    [12]过镇海,张秀琴.混凝土在反复荷载作用下的应力-应变全曲线[J].冶金建筑,1981(9):14-17
    [13]Sima J F,Roca P,Molins C.Cyclic constitutive model forconcrete[J].Engineering Structures,2008,30(3):695-706
    [14]过镇海.混凝土的强度和变形试验基础和本构关系[M].北京:清华大学出版社,1997:230