Significant progress has been achieved on modeling the influence of plastic anisotropy on forming of polycrystalline metal sheets. In contrast, the effect of crystal orientation on forming of single-crystal sheets has been largely unexplored. In this paper, using a recently developed single crystal criterion, it is shown that the single-crystal orientation has a very strong influence on forming. Results of F.E. simulations of cup drawing and hole expansion are reported. The same set of values of the anisotropy coefficients, which correspond to Al single crystal (with 5% Cu) is used in all simulations. It is predicted that for the {100}〈001〉 orientation four ears develop whereas for the \( \left\{111\right\}\left\langle 1\overline{1}0\right\rangle \) and \( \left\{122\right\}\left\langle 1\overline{1}0\right\rangle \) crystal orientations six, and eight ears form. Moreover, correlations between the location of the ears and the variation of the Lankford coefficients in the plane of the respective single-crystal sheets are established. F.E. analysis of hole expansion also show a strong influence of crystal orientation on the distribution of thickness strains and strain localization.

在模拟塑性各向异性对多晶金属薄板成形的影响方面已经取得了重大进展。相反，在很大程度上未研究晶体取向对单晶片形成的影响。在本文中，使用最新开发的单晶判据，表明单晶取向对成形有很大的影响。报告了杯拔和孔扩展的有限元模拟结果。在所有模拟中均使用与Al单晶（含5％Cu）相对应的一组各向异性系数值。可以预见，对于{100} 〈001〉方向，会出现四只耳朵，而对于\（\ left \ {111 \ right \} \ left \ langle 1 \ overline {1} 0 \ right \ rangle \）和\（\ left \ {122 \ right \} \ left \ langle 1 \ overline {1} 0 \ right \ rangle \）晶体取向为六，八耳。此外，在各个单晶片的平面中，耳朵的位置与兰克福德系数的变化之间建立了相关性。孔扩展的有限元分析也显示了晶体取向对厚度应变分布和应变局部化的强烈影响。