Abstract
The recent papers of the authors proposed a new theory to uniquely predict the final orientation of deformation textures in polycrystalline metals. In the proposed theory, rotation vectors and skew-symmetric parts of stress tensor, which were neglected in the classical theory of plasticity, are needed for the description of the crystal rotation behavior of grains and a yield function which determines the onset of rotations is defined in nine-dimensional stress space.
In this paper, it is shown that the proposed form with respect to the yield function of rotations is also established by generalizing the Mises and Hill yield criteria of the classical theory of plasticity, and the proposed yield function is applied to simulate the rolling texture and surface rolling texture formations in fcc metals deformed by {111}⟨110⟩ multiple slip, using the extended maximum work and the extended minimum shear procedures concerning the crystal plasticity. The simulated rolling texture of fcc metals is described as a continuous distribution of orientation between near {123}⟨211⟩ and {4, 4, 11}⟨11, 11, 8⟩ and is essentially similar to the pure metal type texture. And the simulated surface rolling texture consists mainly of the {001}⟨110⟩ orientation with minor components of {111}⟨110⟩.
