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Micromechanical Analysis of Heterogeneous Composites using Hybrid Trefftz FEM and Hybrid Fundamental Solution Based FEM

Published online by Cambridge University Press:  08 August 2013

C. Y. Cao ,
Q.-H. Qin  and
A. B. Yu
C. Y. Cao
Affiliation:
Research School of Engineering, Australian National University, Canberra, ACT 0200, Australia
Q.-H. Qin*
Affiliation:
Research School of Engineering, Australian National University, Canberra, ACT 0200, Australia
A. B. Yu
Affiliation:
School of Materials Science and Engineering, University of New South Wales, Sydney, NSW 2052, Australia
*
*[email protected]
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Abstract

In this paper, a new algorithm is developed based on the homogenization method integrating with the newly developed Hybrid Treffe FEM (HT-FEM) and Hybrid Fundamental Solution based FEM (HFS-FEM). The algorithm can be used to evaluate effective elastic properties of heterogeneous composites. The representative volume element (RVE) of fiber reinforced composites with periodic boundary conditions is introduced and used in our numerical analysis. The proposed algorithm is assessed through two numerical examples with different mesh density and element geometry and used to investigate the effect of fiber volume fraction, fiber shape and configuration on the effective properties of composites. It is found that the proposed algorithm is insensitive to element geometry and mesh density compared with the traditional FEM (e.g. ABAQUS). The numerical results indicate that the HT-FEM and HFS-FEM are promising in micromechanical modeling of heterogeneous materials containing inclusions of various shapes and distributions. They are potential to be used for future application in multiscale simulation.

Keywords

MicromechanicsRepresentative volume element (RVE)HT-FEMHFS-FEMFinite element method (FEM)Heterogeneous composite materialsEffective property
Type
Research Article
Information
Journal of Mechanics , Volume 29 , Issue 4 , December 2013 , pp. 661 - 674
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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