A shear-lag model is developed for discontinuous fiber-reinforced composites with a membrane-type imperfect interface, across which the displacement vector is continuous but the traction vector suffers a jump that is governed by the generalized Young–Laplace equation. Closed-form expressions are obtained for the stress fields in both the fiber-reinforced region and the pure matrix regions and for the shear stress on the interface from both the fiber and matrix sides. To illustrate the newly developed analytical model, a numerical analysis is provided by directly using the general formulas derived. The numerical results reveal that the fiber aspect ratio and the interface parameter can both have significant effects on the stress distributions in the composite.

中文翻译：

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具有膜型缺陷界面的不连续纤维增强复合材料的剪切滞后模型

剪切滞后模型是为具有膜型不完美界面的不连续纤维增强复合材料开发的，在该界面上位移矢量是连续的，但牵引矢量受到由广义杨-拉普拉斯方程控制的跳跃。获得了纤维增强区域和纯基体区域中的应力场以及来自纤维和基体两侧的界面上的剪切应力的闭合形式表达式。为了说明新开发的分析模型，直接使用导出的一般公式进行数值分析。数值结果表明，纤维纵横比和界面参数都对复合材料中的应力分布有显着影响。