On a more generalized theory of the pull-out test from an elastic matrix Part I—Theoretical considerations

Abstract

A more generalized form of previous theoretical treatments of the pull-out test of a fiber from an elastic matrix is presented. The main feature in the treatment is that the normal transverse stress is taken into consideration, when the tensile force of the loaded fiber during the pull-out test is calculated. Two cases are treated: the first, where the normal stress is assumed to be constant along the embedded length, and the other where this stress depends on the way the tensile force changes during the pull-out test. Solutions are provided which show that increasing the normal stress brings about higher tensile force and shear stress along greater embedded lengths of the fiber. The calculated shear strength of the interfacial bond is found to depend, among other parameters, on the fiber embedment length, as well as on the normal stress applied.