A method is presented to predict numerically the homogenized viscoelastic behavior of 3D woven composites using only its constituents’ behavior. It is based on elastic homogenizations applied to the Laplace-Carson transform of the time-dependent viscoelastic behavior of the constituents. Two scale changes are necessary: from micro- to meso-scale to obtain the homogenized behavior of the consolidated yarns, and from meso- to macro-scale. The temperature and cure dependent viscoelastic behavior of the matrix is identified from experimental data, using the time-temperature superposition principle with the cure dependent glass transition temperature as reference temperature. The meso-scale representative unit cell of the composite is extracted from X-ray microtomography images. The homogenized viscoelastic behavior is used to calculate the evolution of the apparent moduli of the composite with temperature between $-50°$C and $200°$C. The results are in good agreement with experimental data over the temperature range where the matrix behavior was properly identified.

提出了一种仅使用其成分的行为来数值预测3D编织复合材料的均质粘弹性行为的方法。它基于应用于组分随时间变化的粘弹性行为的Laplace-Carson变换的弹性均质化。必须进行两个尺度的改变：从微观尺度到中尺度以获得固结纱线的均质行为，以及从介观尺度到宏观尺度。使用时间-温度叠加原理，将与固化有关的玻璃化转变温度作为参考温度，从实验数据中确定基质的与温度和固化有关的粘弹性行为。从X射线显微断层摄影图像中提取复合材料的中尺度代表晶胞。$--50°$C和 $200°$C.结果与在正确识别基质行为的温度范围内的实验数据高度吻合。