Effects of Crystallographic Texture on Plastic Flow Localization


Article Preview

In this study, effects of typical texture components observed in rolled aluminum alloy sheets (i.e. Copper, Brass, S, Cube and Goss texture components) on plastic flow localization are studied. The material response is described by a generalized Taylor-type polycrystal model, in which each grain is characterized in terms of an elastic-viscoplastic continuum slip constitutive relation. First, forming limits of thin sheet set by sheet necking are predicted using a Marciniak–Kuczynski (M–K-) type approach. It is shown that only the Cube texture component yields forming limits higher than that for a random texture in the biaxial stretch range. Next, three-dimensional shear band analyses are performed, using a three-dimensional version of M–K-type model, but the overall deformation mode is restricted to a plane strain state. From this simple model analysis, two important quantities regarding shear band formation are obtained: i.e. the critical strain at the onset of shear banding and the corresponding orientation of shear band. It is concluded that the Cube texture component is said to be a shear band free texture, while some texture components exhibit significantly low resistance to shear band formation. Finally, shear band developments in plane strain pure bending of sheet specimens with the typical textures are studied.



Key Engineering Materials (Volumes 340-341)

Edited by:

N. Ohno and T. Uehara




M. Kuroda, "Effects of Crystallographic Texture on Plastic Flow Localization", Key Engineering Materials, Vols. 340-341, pp. 211-216, 2007

Online since:

June 2007




[1] R.J. Asaro and A. Needleman: Acta Metall. 33 (1985) 923-953.

[2] F. Barlat and O. Richmond: Mater. Sci. Eng. 95 (1987) 15.

[3] P.R. Dawson and E.B. Marin: Adv. Appl. Mech. 34 (1998) 77-169.

[4] R.J. Asaro: Acta Metall. 27 (1979) 445-453.

[5] D. Peirce, R.J. Asaro and A. Needleman: Acta Metall. 31 (1983) 1951-(1976).

[6] M. Kuroda and V. Tvergaard: Int. J. Solids Struct. 37 (2000) 5037-5059.

[7] M. Kuroda and V. Tvergaard: J. Mech. Phys. Solids 49 (2001) 1239-1263.

[8] P.D. Wu, S.R. MacEwen, D.J. Lloyd and K.W. Neale: Mater. Sci. Eng. A364 (2004) 182-187.

[9] V. Tvergaard and A. Needleman: Proc. Roy. Soc. Lond. A443 (1993) 547-562.

[10] M. Kuroda and V. Tvergaard: Int. J. Plasticity (2006) (in press).

[11] M. Kuroda and S. Ikawa: Mater. Sci. Eng. A385 (2004) 235-244.