基于理想界面的均匀化方法

评述了分析单向纤维增强复合材料及纺织复合材料宏观等效弹性性能的有代表性的力学模型,指出了各力学模型的特点.针对经典力学模型分析结构复杂的纺织复合材料的力学性能的局限性,直接从组分相的本构方程出发,分别将应力、应变张量在相间界面分解成互相正交的2个部分:面内分量和面外分量. 在理想界面条件下,考虑了纤维与基体的相互作用,建立了基于理想界面的均匀化方法.选取CCA模型分析了单向纤维增强复合材料的弹性性能,得到了满意的结果.

Perfect Interface Based Method for Homogenization

Several representative micro mechanical models for the analysis of the effective elastic properties of unidirectional fiber reinforced composites and textile composites are briefly reviewed, and their characteristics are pointed out. In view of the limitations of the classical mechanical models for the prediction of the overall elastic behaviors of textile composites, a more generalized method is established. According to the fact that the in plane components of strain tensor and the out of plane components of stress tensor are continuous across a perfect interface, interactions between phases are considered, and the perfect interface based formulas for homogenization are derived. This method has been applied to determine the effective elastic modulus of a unidirectional fiber reinforced composite, and satisfactory results are obtained.