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。 关键词:混凝土坝;损伤模型;多轴等效应变;工作性态 中图分类号:TV642 文献标志码:A 文章编号:1006 7647(2015)03 0042 05 A multi鄄axis equivalent strain damage model and its application in analysis of working performance of concrete dams/ / ZHOU Qiujing1 , LI Tongchun2 , ZHANG Guoxin1 (1. State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China; 2. National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210098, China) Abstract: A modified four鄄parameter multi鄄axis equivalent strain damage model is presented based on a typical uniaxial tensile stress鄄strain curve model and four鄄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鄄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. Key words: concrete dam; damage model; multi鄄axis equivalent strain; working performance 混凝土坝的真实工作性态和安全研究一直备受 关注[1] ,在工程建设和科学研究中取得了很多成 果,但仍存在诸多问题,如缺乏简便有效的数值模型 以及模型计算结果未得到广泛认可。 近年来,损伤 力学作为非线性分析的一种有效手段,得到了广泛 应用和发展,但由于混凝土材料自身性质复杂、加载 条件各式各样,适用于实际工程并便于设计人员理 解的模型并不多,已有模型有的参数过多且不易确 定,有的过于简单,同实际情况有较大差异,因此给 出简便合理的损伤模型十分必要。 在实际结构中,混凝土基本是多轴受力,但多轴 受力试验设备要求高,同时量测比较困难,目前成果 不多,现有的一些理论模型比较繁杂,应用不便。 为 利用简单模型对多轴受力情况进行分析,一些研究

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