Inverse identification of fiber/matrix interfacial properties from single fiber micro-Raman or fragmentation test requires an accurate model prediction of stress transfer near a fiber break. The existing models adopt very simplified interfacial constitutive law, and hence the three key interfacial parameters, i.e. interfacial shear strength, fracture energy and frictional stress, cannot be determined simultaneously from the single fiber composite test. In this work we develop an analytical model for stress transfer analysis near a fiber break, in which the three important interfacial parameters are all introduced. The present model is well validated by finite element simulations through comprehensive comparisons of stress profiles in fiber and fiber/matrix interface. As demonstrated by several examples, our model shows a good ability to inversely identify interfacial shear strength, fracture energy and frictional stress simultaneously for both single fiber micro-Raman and fragmentation tests. This unified model is also expected to minimize the error between the interfacial parameters identified by different test methods.

从单纤维微拉曼或碎片测试中反向识别纤维/基质界面特性需要对纤维断裂附近的应力传递进行准确的模型预测。现有模型采用非常简化的界面本构律，因此无法从单纤维复合材料试验中同时确定界面剪切强度、断裂能和摩擦应力这三个关键界面参数。在这项工作中，我们为纤维断裂附近的应力传递分析开发了一个分析模型，其中引入了三个重要的界面参数。通过对纤维和纤维/基质界面中的应力分布进行全面比较，有限元模拟充分验证了当前模型。正如几个例子所证明的那样，我们的模型在单纤维微拉曼和碎裂测试中显示出同时反向识别界面剪切强度、断裂能和摩擦应力的良好能力。这种统一的模型也有望最大限度地减少不同测试方法确定的界面参数之间的误差。