Abstract

This paper presents a multi-scale-homogenization based on a two-step methodology (micro-meso and meso-macro homogenization) to predict the elastic constants of 3D fiber-reinforced composites (FRC). At each level, the elastic constants were predicted through both analytical and numerical methods to ascertain the accuracy of predicted elastic constants. The predicted elastic constants were compared with experimental data. Both methods predicted the in-plane elastic constants “ E x ” and “ E y ” with good accuracy; however, the analytical method under predicts the shear modulus “ G x y ”. The elastic constants predicted through a multiscale homogenization approach can be used to predict the behavior of 3D-FRC under different loading conditions at the macro-level.

Highlights

  • The use of 3D fiber-reinforced composites (3D-FRC) has been increasing in recent years, thanks to their superior delamination resistance, multi-directional load-bearing capacity and transverse properties [1]

  • Several models have been proposed to predict the elastic constants of these novel 3D fabric architectures

  • The predicted elastic constants of yarns through micro-homogenization is based on idealized hexagonal unit-cell model

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Summary

Introduction

The use of 3D fiber-reinforced composites (3D-FRC) has been increasing in recent years, thanks to their superior delamination resistance, multi-directional load-bearing capacity and transverse properties [1]. The physical testing of these composites is expansive and time-consuming. With developments in computer processing capacity, virtual testing of FRC is one of the main interests among academics and industry in this field. 3D-FRC, the accurate prediction of their elastic constants is a challenging task. Several models have been proposed to predict the elastic constants of these novel 3D fabric architectures. These models are broadly divided into analytical [2,3,4,5] and numerical [4,6] models

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