Axisymmetric stress distribution in the single filament pull-out test

Abstract

A method based on assumed stress functions, which satisfy the equilibrium equations in the fiber and matrix, is presented. Using the principle of minimum complementary energy in conjuction with calculus of variations, the complete axisymmetric state of stress in the fiber and matrix is obtained. Comparison with previous results shows excellent agreement for the interfacial shear stress and axial stresses in the fiber and matrix. The radial tensile stress at the fiber-matrix interface due to Poisson's effect has been shown to be greater for the restrained matrix top loading condition. Also, it is suggested that a more accurate interfacial shear distribution may be predicted by including the radial and hoop stresses in the energy formulation.