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结合混凝土组成特点和破坏特性分析,从细观层次上定义了受拉损伤变量和受剪损伤变量。以材料细观极限破坏应变为基本随机变量,通过引入能量等效应变,得到多轴受力时的随机损伤演化规律。结合作者提出的混凝土确定性多轴弹塑性损伤本构关系,发展了混凝土弹塑性随机损伤本构关系模型,推导给出主方向应力的均值和方差。建议模型中的参数可根据混凝土单轴受力时的应力-应变曲线试验结果,结合随机建模原理和优化算法确定。将分析得出的应力-应变关系与试验结果比较,符合良好。
According to the characteristics of concrete components and failure characteristics, the tensile damage variables and shear damage variables are defined from the meso-level. Taking the material ultimate failure strain as the basic random variable, the law of random damage evolution under multiple axial loads is obtained by introducing the energy equivalent strain. According to the deterministic multi-axial elastic-plastic damage constitutive relationship of concrete proposed by the author, a constitutive model of random elastic damage of concrete is developed and the mean and variance of the principal direction stress are deduced. The parameters in the proposed model can be determined according to the stress-strain curve test results when the concrete is uniaxially stressed, combined with the stochastic modeling principle and the optimization algorithm. The analysis of the stress-strain relationship with the test results, in good agreement.