Abstract In this paper, Eshelby's equivalent inclusion theory, Mori-Tanaka method and shear lag theory are used to derive the analytical formula of stress distribution on the fiber. The effective elastic modulus of the equivalent fiber combining the fiber and the interface layer is predicted and analyzed. Moreover, the theoretical expression of stress field on fibers under three-phase structure is proposed, and the factors affecting the stress distribution on the fiber are also discussed. In addition, because the mechanical properties of different interface layers will have an impact on the parameters of the equivalent fiber phase, this study considers the influence of different interface properties on the interface stress ability, and the effect of interface properties on stress transfer is also investigated. It is proved that the effect of interface layer on stress transfer between matrix and fiber can not be neglected.

中文翻译：

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应力分布分析及界面对纤维增强复合材料的影响

摘要 本文利用Eshelby的等效包含理论、Mori-Tanaka方法和剪力滞理论推导了纤维上应力分布的解析公式。预测和分析了结合纤维和界面层的等效纤维的有效弹性模量。此外，提出了三相结构下纤维应力场的理论表达式，并讨论了影响纤维应力分布的因素。此外，由于不同界面层的力学性能都会对等效纤维相的参数产生影响，因此本研究考虑了不同界面属性对界面应力能力的影响，界面属性对应力传递的影响也是调查。