Some further considerations of the theory of fibre debonding and pull-out from an elastic matrix. Part 1: Constant interfacial frictional shear stress

Abstract

In this paper, some further considerations of the theory of fibre debonding and pull-out from an elastic matrix are performed. The form of the fibre tensile stress and of the interfacial shear stress distribution along the embedded fibre length is determined and its dependence on fibre and matrix elastic properties, fibre volume fraction and embedded fibre length is shown for each case. According to this theory, the fibre/matrix interface can start to debond from the loaded fibre end and/or the embedded fibre end. The maximum fibre pull-out stress necessary to cause complete debonding and eventual pull-out is determined and its dependence on fibre and matrix elastic properties, fibre volume fraction, embedded fibre length and the ratio between the frictional shear stress and the interfacial shear strength is described in detail. This theory can be used to determine easily the shear strength of the interfacial bond and the inferfacial frictional shear stress.