聚合物基复合材料有效蠕变响应与单轴拉伸行为的细观力学模拟
Effective creep response and uniaxial tension behavior of polymer matrix composites simulated by mesomechanics

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 micromechanics model was developed to characterize the effective creep response and macroscopic stress-strain behavior of linear viscoelastic polymer matrix composites based on variational asymptotic homogenization theory framework. Stated from the energy functional variational expression derived from the constitutive equations of the linear viscoelastic polymer matrix composites, the effective creep compliance coefficients of the linear viscoelastic polymer matrix composites were solved by using the variational asymptotic method. On this basis, the time-dependent and uniaxial tensile behavior of polymer matrix composites were calculated. The applicability and accuracy of the model were verified by numerical examples. Since all calculations were accomplished in the time domain, the Laplace transform and inversion commonly used for linearly viscoelastic composites are not needed in this theory, and the computational efficiency is greatly improved. 国家自然科学基金（11272363）；中央高校基本科研业务费专项资金（106112014CDJZR200017）；重庆市自然科学基金（cstc2016jcyjA0426）