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基于变分渐近均匀化理论框架建立可预测复合材料有效湿热弹性性能和单胞内局部场分布的细观力学模型。从推导复合材料湿热弹性自由能泛函出发,利用细、宏观尺度比作为小参数对自由能泛函的主导变分项进行渐近分析,得到湿热弹性问题的系列细观力学模型和局部场分布的重构关系,并通过有限元数值方法实现。与ABAQUS有限元算例的对比表明:构建的细观力学模型可有效准确地预测复合材料有效湿热弹性属性和局部场分布。
Based on the theoretical framework of the variational asymptotic homogenization, a mesomechanical model is established to predict the effective wet-hot elastic properties and the intra-cellular local field distribution of the composites. Based on the derivation of the free-energy functional of the composite by means of damp-heat elasticity, a series of mesomechanical models and local field distributions of the damped wet-hot elasticity problem are obtained by using asymptotic analysis of the dominant variational terms of the functional free energy by using small and macroscale ratios as small parameters. Reconstruction relationship, and through the finite element numerical method. The comparison with the ABAQUS finite element analysis shows that the mesomechanical model can predict the effective wet-hot elastic properties and the local field distribution of the composites effectively and accurately.