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用细观力学的分析方法研究了复合材料的宏观等效弹性性能。在严格满足组分相间界面的连续性条件下 ,正确反映了组分相间的相互作用 ,考虑了弹性张量各分量之间的相互关系 ,分析了层合介质的宏观等效弹性性能。进一步用统计平均的思想 ,得到了总体横观各向同性及总体各向同性复合材料的等效弹性性能的解析表达式。与有关的理论及实验结果比较 ,得到了非常满意的结果。
The macroscopic equivalent elastic properties of the composites were studied by micromechanics analysis. Under the condition of satisfying the continuity of the interface between components and phases, the interaction between components and phases is correctly reflected, and the relationship between the components of elastic tensor is considered. The macroscopic equivalent elastic properties of the laminated media are also analyzed. By using the statistical average method, the analytical expressions of the equivalent elastic properties of the general transversely isotropic and the overall isotropic composites are obtained. Compared with the related theoretical and experimental results, we got very satisfied results.