Axisymmetric Stress Analysis of a Broken, Debonded Fiber

Abstract

The study of a single broken fiber embedded in an infinite elastic matrix subjected to a uniform far-field strain is presented. The solution, which accounts for the presence of interface debonding in the neighborhood of the fiber fracture, is carried out within the framework of classical elastostatics. The boundary value problem is reduced first to a pair of dual integral equations, and then to a Cauchy singular integral equation which is solved numercially. Results are presented illustrating the dependence of the fiber axial force and the interface shear stress upon the geometrical and material parameters.