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在空间复杂应力状态下,混凝土损伤表现出强烈的应力方向相关性,隐式梯度公式中标量形式的损伤变量,不能精确描述混凝土在复杂应力状态下失效问题。该文引入空间有效损伤矩阵,构造一种基于隐式梯度公式的各向异性的非局部损伤模型,证明了其率平衡方程在损伤过程中类型保持不变,给出空间应力状态下基于该模型的有限元程序,并将该模型应用于空间复杂应力状态下的混凝土损伤和应变软化的数值模拟。数值计算表明模型对避免软化损伤模拟时的病态网格依赖性和零能量损耗有非常好的效果。
Under complex stress conditions, concrete damage shows a strong correlation between stress and direction. Scalar variables in implicit gradient formulas can not accurately describe the failure of concrete under complex stress conditions. In this paper, an effective damage matrix is introduced to construct an anisotropic nonlocal damage model based on an implicit gradient formula. It is proved that the rate equilibrium equation remains unchanged during the damage process. Based on the model The finite element program is applied to the numerical simulation of concrete damage and strain softening under complex stress state. Numerical calculations show that the model has a very good effect on avoiding morbid grid dependence and zero energy loss in softening damage simulation.