A Polycrystalline Analysis of Hexagonal Metal Based on the Homogenized Method

Abstract:

In this study, a three-dimensional finite element formulation for polycrystalline plasticity model based on the homogenization method has been presented. The homogenization method is one of the useful procedures, which can evaluate the homogenized macroscopic material properties with a periodical microstructure, so-called a unit cell. The present study focuses on hexagonal metals such as titanium or magnesium. An assessment of flow stress by the presented method is conducted and it is clarified how the method can reproduce the behavior of hexagonal metal.

• Periodical: Key Engineering Materials (Volumes 340-341)
• Pages: 1049-1054
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.340-341.1049
• Online since: June 2007
• Authors: Yuichi Tadano, Mitsutoshi Kuroda, Hirohisa Noguchi, Kazuyuki Shizawa
• Keywords: Hexagonal Metal, Homogenization Method, Multi-Scale Analysis, Polycrystalline Plasticity

References

[1] P.R. Dawson and E.B. Marin: Adv. Appl. Mech., Vol. 34 (1998), p.77.

[2] D. Peirce, R.J. Asaro and A. Needleman: Acta Metall., Vol. 31 (1983), p. (1951).

[3] R.J. Asaro and A. Needleman: Acta Metall., Vol. 33 (1985), p.923.

[4] F.H. Hosford: Mechanical Behavior of Materials, Cambridge University Press (2005).

[5] N. Ohno, D. Okumura and H. Noguchi: J. Mech. Phys. Solids, Vol. 50 (2002), p.1125.

[3] 5.

[4] 0.

[4] 5.

[5] 0.

[5] 5 2 4 6 8 0. 0.

5.

[1] 0 average standard deviation Number of elements on a side Average of 0. 2% proof stress Standard deviation of 0. 2% proof stress Fig. 7 0. 2% proof stress of HCP material respect to number of elements on a side.

[3] 5.

[4] 0.

[4] 5.

[5] 0.

[5] 5 1 10 100.

0.

5.

[1] 0 average standard deviation Number of grains per element Average of 0. 2% proof stress Standard deviation of 0. 2% proof stress Fig. 8 0. 2% proof stress of HCP material respect to number of grains per element.