多轴等效应变损伤模型及其在混凝土坝工作性态分析中的应用
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摘要
基于混凝土单轴拉伸应力应变曲线模型和四参数等效应变,给出一种修正的四参数多轴等效应变损伤模型,通过与单轴拉伸、单轴压缩、双向拉伸、双向压缩、双向拉压以及三向压缩这6种受力状态的试验资料进行对比以验证其有效性。采用该多轴等效应变损伤模型对混凝土剪切试验组合受力情况、混凝土重力坝和混凝土拱坝等结构工作性态进行数值分析,得到静力荷载下的结构损伤和应力响应,评价了结构正常工作性能及安全性。结果表明,剪切试验数值模拟结果与试验成果吻合良好,可以对以剪切为主的组合受力情况进行分析,该模型适用于复杂应力状态下的计算;典型重力坝和拱坝损伤分布区域及应力分布规律合理,该模型可以对混凝土坝工作性态及其安全性进行分析。
A modified four-parameter multi-axis equivalent strain damage model is presented based on a typical uniaxial tensile stress-strain curve model and four-parameter equivalent strain. To verify the concrete damage model,test results under six kinds of stress states,including uniaxial tension,uniaxial compression,biaxial tension,biaxial compression,biaxaial tension-compression,triaxial compression are compared with experimental results. With the concrete damage model,this paper numerically analyzed combined force situations of concrete shear tests and working performances of concrete gravity dams and concrete arch dams. The damage and stress distribution of these structures under static loadings are obtained and analyzed. The results showed that the numerical simulation results of shear tests coincide with experimental results. Therefore,the model can analyze the combined force situation with the shear as the main force and the model is suitable for the calculation under complex stress states. In addition,the reasonable damage and stress distribution rules of typical gravity dams and arch dams indicated that the model could analyze the working performance and safety of concrete dams.
A modified four-parameter multi-axis equivalent strain damage model is presented based on a typical uniaxial tensile stress-strain curve model and four-parameter equivalent strain. To verify the concrete damage model,test results under six kinds of stress states,including uniaxial tension,uniaxial compression,biaxial tension,biaxial compression,biaxaial tension-compression,triaxial compression are compared with experimental results. With the concrete damage model,this paper numerically analyzed combined force situations of concrete shear tests and working performances of concrete gravity dams and concrete arch dams. The damage and stress distribution of these structures under static loadings are obtained and analyzed. The results showed that the numerical simulation results of shear tests coincide with experimental results. Therefore,the model can analyze the combined force situation with the shear as the main force and the model is suitable for the calculation under complex stress states. In addition,the reasonable damage and stress distribution rules of typical gravity dams and arch dams indicated that the model could analyze the working performance and safety of concrete dams.
引文
[1]ZHANG Guoxin,LIU Yi,ZHOU Qiujing.Study on real working performance and overload safety factor for high arch dam[J].Science in China:Technological Sciences,2008,51(Sup2):48-59.
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[8]KUPFER H,HILSDORF H K.Behavior of concrete under biaxial stresses[J].ACI Journal,1969,66(8):656-665.
[9]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.
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[11]GHRIB F,TINAWI R.An application of damage mechanics for seismic analysis of concrete gravity dams[J].Earthquake Engng Struct Dyn,1995,24:157-173.
[12]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.
[13]赵兰浩.考虑坝体-库水-地基相互作用的有横缝拱坝地震响应分析[D].南京:河海大学,2006.
[2]DARWIN D,PECKNOLD D A.Nonlinear biaxial stress strain law for concrete[J].Journal of Engineering Mechanics,ASCE,1977,115(2):229-241.
[3]韦未,李同春,姚纬明.建立在应变空间上的混凝土四参数破坏准则[J].水利水电科技进展,2004,24(5):27-29.(WEI Wei,LI Tongchun,YAO Weiming.Fourparameter failure criterion for concrete in strain space[J].Advances in Science and Technology of Water Resources,2004,24(5):27-29.(in Chinese))
[4]MAZARS J,HAMON F,GRANGE S.A new 3D damage model for concrete under monotonic,cyclic and dynamic loadings[J].Materials and Structures,2013,46:1-15.
[5]LABADI Y,HANNACHI N E.Nonlinear damage behavior of concrete structures[J].Canadian Journal of Civil Engineering,2005,32(4):765-774.
[6]丁发兴,余志武.混凝土受拉力学性能统一计算方法[J].华中科技大学学报:城市科学版,2004,21(3):29-34.(DING Faxing,YU Zhiwu.Unified calculation method of mechanical properties of concrete in tension[J].Journal of Huazhong University of Science and Technology:Urban Sciences.2004,21(3):29-34.(in Chinese))
[7]杨木秋,林泓.混凝土单轴受压受拉应力应变全曲线的试验研究[J].水利学报,1992,23(6):60-66.(YANG Muqiu,LIN Hong.Experimental research on stress-strain curves of uniaxial compressive and tension[J].Journal of Hydraulic Engineering,1992,23(6):60-66.(in Chinese))
[8]KUPFER H,HILSDORF H K.Behavior of concrete under biaxial stresses[J].ACI Journal,1969,66(8):656-665.
[9]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.
[10]周秋景,李同春,宫必宁.循环荷载作用下脆性材料剪切性能试验研究[J].岩石力学与工程学报,2007,26(3):573-579.(ZHOU Qiujing,LI Tongchun,GONG Bining.Experimental study on shear behaviors of brittle materials under cyclic loading[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(3):573-579.(in Chinese))
[11]GHRIB F,TINAWI R.An application of damage mechanics for seismic analysis of concrete gravity dams[J].Earthquake Engng Struct Dyn,1995,24:157-173.
[12]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.
[13]赵兰浩.考虑坝体-库水-地基相互作用的有横缝拱坝地震响应分析[D].南京:河海大学,2006.
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