Abstract
Assuming that a unidirectional fiber-reinforced composite having a main crack was fractured by uniform tensile loading, the present authors derived the joint distribution function of fracture stress and fracture location of fibers in the composite from Oh and Finnie′s theory. The expected values of total dissipation energies by debonding and also by fiber pullout were separately obtained by integrating product of each dissipation energy per unit tensile displacement and the joint distribution function within whole spaces of stress and location. These total dissipation energies were given in explicit forms as functions of shape and scale parameters of Weibull distribution of fiber strength, frictional stress and interfacial energy of the fiber/matrix interface, fracture energy of matrix, and elastic properties of fibers and matrix etc. These equations showed that this analysis was a theoretical extension of Sutcu′s one for fiber pullout. Theoretical prediction by this analysis coincided well with experimental results.
