Slip rotations of crystals undergoing constrained plastic deformation have been interpreted by utilizing the concept of grain boundary disinclinations. The plastic deformation of crystals is considered to be caused by the creation and motion of lattice dislocations, and the slip rotations are found to correspond to the creation and motion of grain boundary disinclinations. By using the proposed yield criterion of rotations, the maximum work procedure of Bishop-Hill was developed for analysis of lattice rotations under constrained deformation. The proposed procedure was applied to calculations of lattice rotations of fcc metals deformed by axisymmetric flow, employing the computational technique for optimization problems with nonlinear constraints. The computed results were in reasonable agreement with the experimental ones of tension and compression textures of fcc metals.