Effect of Interface Roughness on Fiber Push‐Out Stress

A theoretical analysis is given for single‐fiber push‐out with a rough interface whose asperity amplitude can be expressed by a Fourier series that has a good convergence. Based on a three‐cylinder model for the single‐fiber push‐out test, the solutions of the fiber frictional push‐out stress and the relative displacement of the fiber to the matrix at the fiber‐matrix interface are obtained. A new asperity wear model is introduced in the analysis to simulate the degradation of the asperity amplitude during the fiber push‐out process. The interfacial roughness between the fiber and the matrix is found to have a pronounced influence on the fiber sliding behavior.