基于变分渐近均匀化理论框架建立表征线性黏弹性聚合物基复合材料有效蠕变响应和宏观应力-应变行为的细观力学模型。从线性黏弹性聚合物基复合材料本构方程中构建能量泛函变分表达式出发,采用变分渐近法求解线性黏弹性聚合物基复合材料的有效蠕变柔度系数,并以此为基础计算聚合物基复合材料的时变和单轴拉伸行为。通过算例验证了构建模型的适用性和准确性。由于所有计算均在时间域内完成,不再需要传统线黏弹性复合材料使用的Laplace转换和反演,计算效率大为提高。 A Meso-Mechanical Model for Characterizing Effective Creep Response and Macro-Stress-Strain Behavior of Linear Viscoelastic Polymer Matrix Composites Based on the Variational Asymptotic Uniformity Theoretical Framework. Starting from the construction of energy functional variational expressions in the constitutive equation of linear viscoelastic polymer matrix composites, the effective creep compliance coefficient of linear viscoelastic polymer matrix composites is solved by using the variational asymptotic method Basic calculations of the time-dependent and uniaxial tensile behavior of polymer-based composites. An example is given to verify the applicability and accuracy of the construction model. Since all the calculations are done in the time domain, the Laplace transformation and inversion used by the traditional linear viscoelastic composite are no longer needed, and the computational efficiency is greatly improved.