A combined experimental–numerical approach for generating statistically equivalent fibre distributions for high strength laminated composite materials

Analysis of filament arrangements and generation of statistically equivalent composite micro-structures

“…The measurement of 300,000 single filament cross-sections showed a normal distribution of the filament diameter with a mean of 6.97 µm and a standard deviation of 0.39 µm, which is in good agreement with the nominal manufactures' values. The precision of these results is superior to measurement data reported in the literature [5,15,17].The exact determination of the filament cross-sectional shape also allows precise estimation of the entire fibre bundle micro-structure, e.g. the relative filament (centre) positions.…”

“…However, each of these modelling approaches lacks a direct correlation to quantified micro-structures. This limitation is overcome by the modelling approach proposed by Vaughan and McCarthy [5], which uses measured filament distributions.…”

“…This study describes an automated method for determination of parameters to describe the micro-structure of a fibre bundle and statistical analysis of the measured data. In addition, an algorithm is proposed to generate equivalent representative micro-structure models which is adapted from the work of Vaughan and McCarthy [5]. These models can be used to predict reinforcement processing properties, e.g.…”

A three-scale finite element investigation into the effects of tissue mineralisation and lamellar organisation in human cortical and trabecular bone

“…This induces a uniaxial strain state in the RVE from which macroscopic quantities may be found by determining volume averages of resulting microscopic state variables, in this case the local stress and strain fields. In order to evaluate the average stresses ( ij  ) and strains ( ij  ) over the RVE the following relations from Vaughan and McCarthy (2010) were used,…”

The mechanical property prediction of fibre-reinforced composite materials based on a new generating random fibre distributions method

“…Hojo.M studied the local fibre distribution effect on the micro-interface normal stress of unidirectional carbon fibre epoxy laminates under transverse tensile loading and the results showed that the interface normal stress absolute value of fibre irregular distribution increased rapidly when the distance between fibres was less than 0.5μm [5] . Vaughan and McCarthy presented the nearest neighbour algorithm based on test data and its local shape distribution function was equivalent to the fibre distribution of real structure [6] . AR Melro used the hard-core model to generate fibre randomly distribution model which the fibre volume fractions could be up to 65% [7] .…”