https://doi.org/10.1051/epjam/2022007
Research Article
FFT, DA, and Mori-Tanaka approximation to determine the elastic moduli of three-phase composites with the random inclusions
Faculty of Mechanical Engineering, Hanoi University of Industry, 298 Cau Dien Street, Bac Tu Liem District, Hanoi, Vietnam
* e-mail: nguyenvanluat@haui.edu.vn
Received:
2
May
2021
Accepted:
25
February
2022
Published online: 10 June 2022
In this work, some solutions such as Mori-Tanaka approximation (MTA), Differential approximations (DA), and Fast Fourier transformation method (FFT) were applied to estimate the elastic bulk and shear modulus of three-phase composites in 2D. In which two different sizes of circular inclusions are arranged randomly non-overlapping in a continuous matrix. The numerical solutions using FFT analysis were compared with DA, MTA, and Hashin-Strikman's bounds. The MTA and DA reasonably agreeable solution with the FFT solution shows the effectiveness of the approximation methods, which makes MTA, DA useful with simplicity and ease of application.
Key words: Elastic modulus / Fast Fourier transformation method (FFT) / Mori-Tanaka approximation / differential approximations / composite materials
© V.-L. Nguyen, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
