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Abstract

Based on the composite cylinders assemblage (CCA) model, an elastic solution to the problem of an imperfectly bonded continuous fiber composite is presented under plain strain condition. A dual series approach based on Airy's stress function is employed to yield an exact solution for the stresses and displacements in the fiber and the surrounding matrix. Bond imperfection due to degraded fiber– matrix interface is modeled by considering the infinitesimally thin layer between the fiber and the matrix, having one-dimensional extensional and shear elements (springs) over the entire interface. Effects of degraded fiber–matrix interface on the stress concentration and displacements in the matrix are studied at different fiber volume fractions. Changes in the stress concentration with change in the stiffness ratio between fiber and matrix materials are also examined.

Keywords

imperfect fiber–matrix bond degraded fiber–matrix interface CCA model elasticity solution stress concentration

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Stress Concentration in the Matrix with Degraded Fiber–Matrix Interfaces

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