Some further considerations of the theory of fibre debonding and pull-out from an elastic matrix. Part 2: Non-constant interfacial frictional shear stress

Abstract

Solutions for fibre debonding and pull-out from an elastic matrix have previously been obtained under the condition that the interfacial frictional shear stress is independent of the bond length. However, this condition is not strictly valid. In this paper, an analysis of fibre debonding and pull-out is carried out by considering the dependence of the interfacial frictional shear stress on bond length. The maximum fibre pull-out stress necessary to cause complete debonding and eventual pull-out is determined to be dependent on the fibre-to-matrix elastic modulus ratio, the interfacial shear strength, the interfacial frictional coefficient, the fibre volume fraction and the embedded fibre length. Excellent agreement between the present theoretical analyses and existing experimental results is obtained.