A constitutive material law for linear viscoelasticity in the time domain is presented. It does not only allow for anisotropic elastic behavior but also for anisotropic (i.e. direction dependent) relaxation response. Under the assumption of thermo–rheological simple material behavior, the model is capable to account for direction dependent time–temperature-shift functions.

The application is demonstrated for a linear viscoelastic matrix material reinforced by linear viscoelastic continuous fibers. The effective orthotropic linear viscoelastic response of the composite is computed by means of a periodic unit cell approach. These data, evaluated at different temperatures, are used to calibrate the input for the developed material law. Predictions from the latter are compared to the results from the unit cell simulations.

提出了时域线性粘弹性的本构材料定律。它不仅允许各向异性弹性行为，而且允许各向异性（即与方向有关）的松弛响应。在热流变简单材料行为的假设下，该模型能够考虑与方向有关的时温漂移函数。

通过线性粘弹性连续纤维增强的线性粘弹性基质材料的应用得到了证明。复合材料的有效正交各向异性线性粘弹性响应是通过周期晶胞方法计算的。这些在不同温度下评估的数据用于校准已开发材料法则的输入。将后者的预测结果与单位单元模拟的结果进行比较。