Abstract

In this paper, the homogenization approach was presented to predict the effective mechanical properties of heterogeneous materials such as composite materials. Indeed, the main idea of this approach is to characterize the effective mechanical properties from a microstructural description of the heterogeneous materials and the knowledge of the local behavior of constituents using the homogenization process. It is a very efficient tool which is intensively developed in the field of numerical simulation of heterogeneous materials. Different scheme established from the solution of Eshelby’s inclusion problem are recalled such as Mori-Tanaka scheme, dilute scheme and Voigt and Reuss bounds. Homogenization approach was applied to estimate the effective mechanical properties of tungsten fiber reinforced bulk metallic glass matrix composite. Predicted values were confronted with those obtained by experimental approach from literature. These comparisons show good agreement between the predicted and experimental values. The maximum deviations remain lower than 10.5% using Voigt bound. A parametric study shows that the mechanical properties depend strongly on the shape of inclusions.

Highlights

  • Composite materials are increasingly used in several industrial applications such as aerospace, automotive, shipbuilding and offshore oil [1]

  • Several approaches based on experience and theoretical models were established to predict the mechanical properties of composite materials

  • In the case of the homogeneous traction imposed on the Representative Volume Element (RVE) boundary, we show that: E = ε = S : σ = S : B : Σ = S : B : Σ = Shom : Σ (14)

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Summary

INTRODUCTION

Composite materials are increasingly used in several industrial applications such as aerospace, automotive, shipbuilding and offshore oil [1]. Several approaches based on experience and theoretical models were established to predict the mechanical properties of composite materials. In the last few years, new computational methods were developed to predict the effective properties of composites materials. The homogenization approach is used to predict the effective mechanical properties of heterogeneous materials. This method allows to evaluate the influence of microstructure properties on macro behavior of composite materials. A comparison between the experimental values and estimated values was carried on tungsten fiber reinforced bulk metallic glass matrix composite This composite is the subject of widespread research in recent years [12].

HOMOGENIZATION APPROACH
Eshelby’s tensor of the auxiliary linear elastic problems
APPLICATION OF HOMOGENIZATION APPROACH
Comparison with experimental data
Findings
CONCLUSION

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