In this paper, the effect of two stages of cyclic expansion-extrusion (CEE) process on fiber crystallographic textures of pure copper is investigated using crystal plasticity finite element method. In the first approach, the expansion and extrusion stages are idealized by equi-biaxial tension and equi-biaxial compression, respectively. Through the second approach, the real strain history of the extrusion stage is captured by embedding a polycrystalline aggregate in the billet. The simulated results illustrate the effect of the expansion stage and redundant shear strain during the extrusion stage on the inverse pole figure maps after a pass of CEE process. Also, the published results confirm the reliability of the predicted fiber textures which acknowledge the accuracy of the second approach for a complete pass of the CEE technique to understand the role of shear strain on the fiber texture.