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基于单胞解析模型,建立一种从复合材料细观组分到宏观层合板的渐进损伤分析模型。根据连续介质力学和均匀化方法构建细-宏观关联矩阵,通过该矩阵将细观组分材料的弹性和损伤性能传递到宏观复合材料中。该模型只需给出纤维和基体的材料属性及纤维体积含量无需层合板的弹性和强度参数,通过组分材料的损伤失效判据确定其是否损伤,如果发生损伤则用损伤因子折算成相应的刚度衰减。通过用户材料子程序UMAT及VUMAT将单胞解析模型以及损伤理论嵌入到有限元软件ABAQUS中,对开孔复合材料层合板的渐进损伤过程进行模拟,预测了层合板强度。结果表明:预报的强度与试验值吻合较好,验证了该方法的有效性。
Based on the single cell analytical model, a progressive damage analysis model from the composite microstructure to the macroscopic laminate was established. According to the continuum mechanics and homogenization method, a fine-macroscopic correlation matrix is constructed, through which the elasticity and damage properties of the mesostructured materials are transferred to the macroscopic composite material. The model only needs to give the material properties and fiber volume content of fiber and matrix without the elastic and strength parameters of the laminate. Whether the material is damaged is determined by the damage failure criterion of the component materials. If the damage occurs, the damage factor is converted into the corresponding Decay in stiffness. Through the material subroutines UMAT and VUMAT, the cell analysis model and the damage theory are embedded into the finite element software ABAQUS. The gradual damage process of the perforated composite laminates is simulated and the strength of the laminate is predicted. The results show that the prediction strength is in good agreement with the experimental value, which verifies the effectiveness of the method.