Micromechanical Analysis of Fiber-Reinforced Composites with Interfacial Phenomena. 1st Report. Modeling and Analysis of Discontinuous Fiber-Reinforced Composites.

Abstract

The present paper dealts with the mechanical analysis of fiber-reinforced composite material having matrix cracking and/or interface sliding between a fiber and a matrix, say, the problem of a bridging fiber, by the method of micromechanics. In the field of micromechanics, inhomogeneity is generally treated as an inclusion with eigenstrain, and the quivalent inclusion method, Eshelby's method, is applied to simulate the elastic stress disturbance due to the inhomogeneity. However, in the case where there are many kinds of inhomogeneities, the interaction between the inhomogeneities, which were neglected in Eshelby's method, must be taken into consideration. In doing this, the method developed by Taya is usefu1, and the present method is the extension of Taya's method to the analysis of the fiber-reinforced composites with interfacial sliding.