ANALYSIS OF THE EFFECT OF INTERFACIAL ROUGHNESS ON FIBER DEBONDING AND SLIDING IN BRITTLE-MATRIX COMPOSITES

Previous analyses of the relation between the force and displacement during fiber sliding (pushing or pulling) are extended to include effects of interfacial roughness. Analytical solutions are obtained for a linear roughness profile over the range of displacements that are smaller than the dominant half-wavelength of the roughness. With the equations expressed in normalized form, a convenient friction parameter, which defines the roles of the friction coefficient and the roughness angle, has been defined. For certain values of the friction parameter, the effect of the roughness negates the Poisson's contraction during fiber pulling, giving solutions that are very close to the response of a system with a constant frictional stress at the interface.