A variational asymptotic micromechanical model for hygrothermoelastic properties of composites
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摘要: 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。Abstract: A micromechanical model was developed for predicting effective hygrothermoelastic properties of composites and local field distributions within the unit cell based on the framework of the variational asymptotic homogenization theory. Starting from the derivation of the hygrothermoelastic free energy functional of composites, the leading variable item in the functional of free energy was asymptotically analyzed by taking advantage of the small ratio of microscale to macroscale. Micromechanical model and the recovery relationships of local field distributions for the hygrothermoelastic problem were obtained and implemented by using finite element method. Comparison with ABAQUS finite element example shows the constructed micromechanical model can predict the effective hygrothermoelastic properties of composites and local field distributions effectively and accurately.
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Key words:
- composites /
- hygrothermoelastic /
- micromechanics /
- variational asymptotic method /
- homogenization
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