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根据标准线性固体模型构造了一种预测纤维增强复合材料黏弹性行为的模型,推导出该模型的本构方程与松弛模量和蠕变柔量表达式,该模型经有限元仿真验证具有较高的精度。利用该模型研究了纤维几何特性对蠕变柔量和松弛模量的影响。结果表明,复合材料蠕变柔量与纤维比长度呈线性关系,而当纤维比半径增大到临界值后,其变化对材料的松弛模量和蠕变柔量影响减小,该临界值随纤维弹性模量的增大而减小;当纤维模量与基体模量相差较大时,复合材料的增强系数和减柔系数几乎不受时间变化的影响。
According to the standard linear solid model, a model for predicting the viscoelastic behavior of fiber reinforced composites was constructed. The constitutive equation, relaxation modulus and creep compliance were deduced. The model was verified by finite element simulation The accuracy. The effect of fiber geometry on creep compliance and relaxation modulus was studied using this model. The results show that the creep compliance of the composites has a linear relationship with the fiber length. When the fiber radius increases to a critical value, the influence of the change on the relaxation modulus and the creep compliance decreases with the increase of the fiber radius Fiber elastic modulus increases and decreases; when the fiber modulus and the matrix modulus difference is large, the composite reinforced coefficient and softening coefficient almost no time-dependent changes.