Abstract: A non-orthogonal constitutive model, previously developed by the authors to characterize the anisotropic material behavior of woven composite fabrics under large deformation, which results from the angle change between warp and weft yarns, was validated by a hemispherical stamping simulation of a square plain woven composite fabric at room temperature. As a comparison, the forming is simulated by using a corresponding orthotropic constitutive model. The simulation results show that the non-orthogonal constitutive model brings out almost the same boundary profile as that in the experiment and shear angles are in the experimental standard deviation range. While quite large discrepancy is found in the case with orthogonal constitutive model. The proposed non-orthogonal model is better than the orthogonal model in characterizing the anisotropic material behavior of woven composites under large shear deformation.