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.