Prediction of Anisotropy of Textured Sheets Based on a New Polycrystal Model

In this paper, the new single crystal yield criterion developed by Cazacu et al. [1] is used to study the effect of the initial texture on the anisotropy in plastic properties of metal sheets. The directional dependence of the yield stresses and Lankford coefficients in uniaxial tension is calculated for polycrystalline sheets with textures described in terms of a Gaussian distribution of misorientations with scatter width increasing from zero (single crystal) to 45º. It is shown that the same fidelity in predictions is obtained for an ideal texture and for textures with misorientation scatter width up to 25º. Furthermore, irrespective of the number of grains in the sample, Lankford coefficients have finite values for all loading orientations. Therefore, using this new single crystal yield criterion for the description of the plastic behavior of the constituent grains, the polycrystalline behavior can be predicted with accuracy, and at a very low computational cost. Most importantly, once the single crystal behavior is known, no additional calibration or macroscopic mechanical tests are needed in order to predict the effect of different texture components on the polycrystalline behavior.