Interfacial Slippage of a Unidirectional Fiber Composite Under Longitudinal Shearing

Abstract

Interfacial slippage of a unidirectional fiber composite under longitudinal shearing is analyzed. The finite concentration of fibers has been taken into account by utilizing the composite cylinder model in the formulation of the problem. The resulting mixed boundary value problem leads to a system of dual series equations, which is then reduced to a Fredholm integral equation of the first kind with a logarithmic singularity. The extent of slip region, which depends on the level of applied load along with the distribution of shear tractions at the fiber-matrix interface, is determined by solving the integral equation numerically.