The Rules for the Lattice Rotation Accompanying Slip as Derived From a Self-Consistent Model

The rules for the lattice rotation during rolling (planestrain) deformation of fcc polycrystals are studied with aviscoplastic self-consistent model. Very high values of theratesensitivity exponent are used in order to establish Sachs-typeconditions with large local deviations from the macroscopicstrain. The lattice rotation depends on the grain shape. Forequiaxed grains the lattice rotation follows the MA rule, which isthe one normally used in solid mechanics. For elongated and flatgrains the lattice rotation follows a different rule, the PSArule. In the standard version the model performs a transition fromMA to PSA with increasing strain. There is avery clear differencebetween the textures resulting from the two different rules. MAleads to a copper-type texture, and PSA leads to a brass-typetexture.