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。
A visco-elastic model for fiber reinforced composites based on standard linear solid model was developed. Its governing equation as well as the formulae of relaxation modulus and creep compliance was deduced. The finite element method analysis testified that this model has a good accuracy. By virtue of this model, the effects of fiber geometric properties on relaxation modulus and creep compliance of the composite were also investigated. The results reveal that creep compliance of the composite is in a linear relation with fiber-matrix length ratio （FMLR）. When fiber-matrix radius ratio （FMRR） exceeds a critical value, relaxation modulus and creep compliance change only slowly, and the critical value decreases with the increasing elastic modulus of fiber. Moreover, if fiber-matrix modulus ratio is quite large, fiber reinforcement coefficient and compliance-coefficient are time independent.
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