Abstract

One of the most popular micromechanical techniques of determining the local interfacial shear strength (local IFSS, τd) between a fiber and a matrix is the single fiber pull-out test. The τd values are calculated from the characteristic forces determined from the experimental force–displacement curves using a model which relates their values to local interfacial strength parameters. Traditionally, the local IFSS is estimated from the debond force, Fd, which corresponds to the crack initiation and manifests itself by a “kink” in the force–displacement curve. However, for some specimens the kink point is hardly discernible, and the “alternative” method based on the post-debonding force, Fb, and the maximum force reached in the test, Fmax, has been proposed. Since the experimental force–displacement curve includes three characteristic points in which the relationship between the current values of the applied load and the crack length is reliably established, and, at the same time, it is fully determined by only two interfacial parameters, τd and the interfacial frictional stress, τf, several methods for the determination of τd and τf can be proposed. In this paper, we analyzed several theoretical and experimental force–displacement curves for different fiber-reinforced materials (thermoset, thermoplastic and concrete) and compared all seven possible methods of τd and τf calculation. It was shown that the “alternative” method was the most accurate and reliable one, while the traditional approach often yielded the worst results. Therefore, we proposed that the “alternative” method should be preferred for the experimental force–displacement curves analysis.

Highlights

  • The single fiber pull-out test [1,2,3,4] is probably the most popular micromechanical technique for determining the interfacial strength parameters in fiber–matrix systems

  • We proposed a method for local IFSS determination based on other characteristic points of force–displacement curves (Fmax and Fb ), without using the Fd value

  • One important difference is that for real specimens we usually do not have force–crack length curves, and τ d and τ f evaluation is based on solely force–displacement curve

Read more

Summary

Introduction

The single fiber pull-out test [1,2,3,4] is probably the most popular micromechanical technique for determining the interfacial strength parameters in fiber–matrix systems. Materials 2018, 11, 2406 where Fmax is the maximum force registered in the pull-out test, df is the fiber diameter and le is the embedded fiber length This approach is experimentally very simple, and the calculation of τapp requires the knowledge of the fiber diameter, embedded length and the force required for complete fiber pull-out. Much later came the understanding that to the apparent IFSS contributes, except adhesion, interfacial friction between the fiber and the matrix [9,10]. This is due to the mechanism of interfacial debonding. The effects of adhesion and friction can be understood when we consider a force–displacement curve recorded during the pull-out test (Figure 1)

Methods
Results
Conclusion
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call