COMPUTATION OF BOUNDS ELASTIC PROPERTIES OF POLYCRYSTALS BASED ON FAST FOURIER TRANSFORM METHOD

Authors

  • Minh Tan Nguyen Le Quy Don Technical University

DOI:

https://doi.org/10.56651/lqdtu.jst.v14.n05.256

Keywords:

Elastic coefficients, numerical bounds, shape functions, polycrystals, Voronoi, fast Fourier transform

Abstract

The present paper derives numerical bounds of the elastic properties of polycrystals. The homogenized elastic coefficients are computed from Voronoi-type unit cells. The main result of the article detemines the upper and lower bounds for a case of polycrystals made up of cubic single crystals by using the fast Fourier transform method (FFT) based on the shape function. Our method guarantees the exact solutions in comparison to the Moulinec and Suquet’s method within some uncontrolled approximations. The proposed method could be extended to account for other material symmetries such as hexagonal or tetragonal crystals.

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Published

2021-04-28

How to Cite

Nguyen, M. T. (2021). COMPUTATION OF BOUNDS ELASTIC PROPERTIES OF POLYCRYSTALS BASED ON FAST FOURIER TRANSFORM METHOD. Journal of Science and Technique, 14(05). https://doi.org/10.56651/lqdtu.jst.v14.n05.256

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Article