Finite element modelling of the single fibre composite fragmentation test with comparison to experiments

Author:

Cao Yanmei1,Xu Yang2,Harrison Philip1,McCarthy Edward D3,Mulvihill Daniel M1ORCID

Affiliation:

1. James Watt School of Engineering, University of Glasgow, Glasgow, UK

2. School of Mechanical Engineering, Hefei University of Technology, Anhui China

3. School of Engineering, University of Edinburgh, Edinburgh, UK

Abstract

This paper develops a finite element (FE) model of the single fibre fragmentation test designed for direct comparison with experimental results on an E-glass/epoxy system by McCarthy et al. (2015). Interface behaviour is modelled via a cohesive surface, and stochastic Weibull fibre strengths (determined by independent experiments) assigned at random to the elements along the fibre. Predictions from the model agree with experiment for a range of outputs: The evolution of the number of fibre breaks with strain is similar and breaks occur at random locations as required. The model also captures a transition to a Uniform (rather than Weibull) statistical distribution of break locations at later stages of the test consistent with recent experiments. The evolution of the cumulative distribution of fragment lengths is also similar to that of the experiment. In addition, fibre axial stress and interfacial shear stress distributions conform with experimental observation. Correct model predictions of break locations confirm the approach taken on assigning stochastic (Weibull) strengths along the fibre. The effectiveness of the FE model in capturing a number of key aspects of the fragmentation phenomenon suggest its usefulness as a tool in analysing and interpreting fibre fragmentation tests, including back-calculation of interfacial shear strength.

Publisher

SAGE Publications

Subject

Materials Chemistry,Mechanical Engineering,Mechanics of Materials,Ceramics and Composites

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