Investigation of Inhomogeneous Deformation on Meso-Scale with Crystal Plasticity Finite Element


Article Preview

The influence of crystallographic orientation stability on the inhomogeneous deformation on the meso-scale was numerically simulated with the crystal plasticity finite element. The initial microstructures were introduced into the finite element via intra-granular orientation gradient. The results demonstrated that the average orientation for both stable Goss and meta-stable cube oriented grains changed very little in plane strain compression (PSC). And for stable Goss oriented grain, the orientation gradient increased slightly, but for meta-stable cube oriented grain, the orientation gradient increased dramatically. And in spite of the same Taylor factor for both oriented grains, the dissipated averaged energy for cube oriented grain was higher than for Goss oriented grains, and the distribution width of dissipated work in cube oriented grain was also wider than that in Goss oriented grain. Furthermore, there was also strong energy gradient in PSC of cube oriented grain. Both the orientation gradient and energy gradient favor the nucleation of cube grains during recrystallization.



Materials Science Forum (Volumes 546-549)

Edited by:

Yafang Han et al.




X. M. Zhang et al., "Investigation of Inhomogeneous Deformation on Meso-Scale with Crystal Plasticity Finite Element", Materials Science Forum, Vols. 546-549, pp. 813-818, 2007

Online since:

May 2007




[1] Mao WM and Zhang XM, Quantitative texture analysis of crystalline materials (Metallurgical Industry Press, Beijing 1993).

[2] Barrett CS, Levenson LH. Trans Metall Soc AIME, Vol. 137(1940), p.112.

[3] Beaudoin AJ, Mecking H, Kocks UF. Phil Mag A, Vol. 73(1996), p.1503.

[4] Lee CS, Duggan DJ. Acta Metall Vol. 41(1993), p.2691.

[5] Becker R. Acta Mater Vol. 46(1998), p.1385.

[6] Raabe D, Zhao Z, Park SJ, Roters F, Acta Materialia, Vol. 50 (2002) p.421.

[7] Dillamore IL, Katoh H. Met Sci Vol. 13(1974) p.73.

[8] Raabe D, Becker R. Modelling Simul Mater Sci Eng Vol. 8(2000) p.445.

[9] Hughes DA, Hansen N. Acta Mater Vol. 45(1997), p.3871.

[10] Neumann P. Textures and Microstructures, Vol. 14-18(1991) p.53.

[11] Altmann S. Rotations, quaternions and double groups. (Oxford University Press, Oxford 1998).

[12] Morawiec A. Orientations and rotations. (Springer-Verlag, Berlin 2003).

[13] van Houtte P Texture. Microstructure., Vol. 18(1988) pp.313-350.

[14] Asaro R.J., Acta Metall. Vol. 27 (1979) p.445.

[15] Nemat-Nasser S, J. Appl. Mech. Vol. 50 (1983) p.1114.