Interpreting the single fiber fragmentation test with numerical simulations

Meer, F.P. van der; Raijmaekers, S.; Rocha, I.B.C.M.

doi:10.1016/j.compositesa.2019.01.002

Cited by 14 publications

(13 citation statements)

References 34 publications

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“…With values for τ sh , G IIc and the cohesive zone length l cz , the interface strength X sh can be estimated through a finite element model with a one-dimensional fiber with slip degrees of freedom embedded in a periodic resin slice (the reader is referred to [28] for details on the model formulation). From Fig.…”

Section: Single-fiber Fragmentation Testsmentioning

confidence: 99%

A combined experimental/numerical investigation on hygrothermal aging of fiber-reinforced composites

Rocha

Meer

Raijmaekers

et al. 2019

European Journal of Mechanics - A/Solids

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Section: Single-fiber Fragmentation Testsmentioning

confidence: 99%

A combined experimental/numerical investigation on hygrothermal aging of fiber-reinforced composites

Rocha

Meer

Raijmaekers

et al. 2019

European Journal of Mechanics - A/Solids

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“…This, of course, implies that the FE model is not yet fully predictive, but the difficulties in obtaining accurate experimental values for some of the input parameters (especially fracture energies) are well known and were also present in previous modelling attempts. [21][22][23][24] However, once the model is confirmed to be representative of the experiment (e.g., in terms of number of breaks at saturation), it can be used to study many aspects of the problem (i.e., stress distributions, fibre break statistics etc.). The value (for the critical fracture energy of the interface) arrived at by enforcing agreement of number of breaks at saturation was 2.9 J/m 2 (Table 3) which is within the experimental range of values determined in Varna et al 51…”

Section: Interface Behaviourmentioning

confidence: 99%

“…These contributions, however, did not incorporate the stochastic distribution of fibre strengths along the fibre as is evident from each new break occurring at the centre of fibre fragments (which is contrary to the random break locations that occur experimentally). FE models that have included the key stochastic (Weibull) distribution of fibre strengths along the length of the embedded fibre include van der Meer et al 24 and Nishikawa et al 25 and these models also included matrix plasticity. However, the modelling results in 24 and 25 (and those in 22,23 ) were not compared to equivalent SFFT experiments to determine how well the models capture certain key behaviour such as evolution of the distribution of fibre break locations and distribution of fragment lengths during the test (Budiman et al 21 were concerned only with the first break so did not use their model to study break evolution).…”

Section: Introductionmentioning

confidence: 99%

“…FE models that have included the key stochastic (Weibull) distribution of fibre strengths along the length of the embedded fibre include van der Meer et al 24 and Nishikawa et al 25 and these models also included matrix plasticity. However, the modelling results in 24 and 25 (and those in 22,23 ) were not compared to equivalent SFFT experiments to determine how well the models capture certain key behaviour such as evolution of the distribution of fibre break locations and distribution of fragment lengths during the test (Budiman et al 21 were concerned only with the first break so did not use their model to study break evolution). In fact, there has been some disagreement concerning the fragment length distributions that have been observed at saturation.…”

Section: Introductionmentioning

confidence: 99%

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

Cao

Yang

Harrison

et al. 2022

Journal of Composite Materials

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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.

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“…The finite element model created was a 2-D planar model of a short section of the fibre and the surrounding matrix, and it was assumed that the fibre and matrix are perfectly bonded. Van der Meer et al [5] have presented a numerical investigation into one of the tests that has been proposed for measuring interfacial properties between fibre and matrix. They have introduced a new cohesive zone model with friction, as well as an original numerical framework for modelling embedded fibres.…”

Section: Introductionmentioning

confidence: 99%

Evaluation and Analysis of Fracture Modes in Single Composite Basalt/Epoxy Fibres by Photoelastic Method and Single Fibre Fragmentation Test

et al. 2022

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In this work, the suitability of basalt fibres for uni-directional composite material applications, and adhesion between the fibres and the matrix they are embedded in have been investigated. A single fibre fragmentation test was carried out on 13μm diameter basalt fibres embedded in a dog-bone epoxy matrix. Photoelastic analysis was used to observe different fracture mechanisms in a single fibre composite sample and fibre breaks during testing. A theoretical model based on a Griffith's fracture mechanics approach was used to determine the fibre-matrix interfacial shear strength, which is a measurement of the level of adhesion between the fibre and the matrix. It was also used to predict the fibre fragment axial stress and the fragment interfacial shear stress, both as functions of axial position on the fibre. A finite element model was developed to simulate the fibre fracture process, and the redistribution of stresses in the fibre and the local region surrounding a fibre break.The developed experimental procedure was successful in that stress-induced 2 birefringence was observed in the tested samples, as well as the characteristic shear stress light fringes that occur in the regions surrounding fibre fractures. Also, there were some similarities between the finite element model results and the theoretical predictions. The critical fibre length, 𝑙 c was measured as 0.752 mm, whereas this value was calculated 0.6708 mm from finite element predicted interfacial shear stress distribution for fibre fragment. A combination of all three types of failure modes was recorded across the samples that were tested, while only a single failure mode was observed in the finite element model. According to the theoretical model, for a given set of parameters and constant stress with only the fibre length varying, the axial stress in the fibre reduces as the fibre gets smaller.

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Interpreting the single fiber fragmentation test with numerical simulations

Cited by 14 publications

References 34 publications

A combined experimental/numerical investigation on hygrothermal aging of fiber-reinforced composites

A combined experimental/numerical investigation on hygrothermal aging of fiber-reinforced composites

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

Evaluation and Analysis of Fracture Modes in Single Composite Basalt/Epoxy Fibres by Photoelastic Method and Single Fibre Fragmentation Test

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