<p>This study experimentally investigated the plastic behavior of AA5083-O sheets under uniaxial tension and compression, tension–compression–tension, and loading–unloading tests. The flow stress under uniaxial compression was higher than that under uniaxial tension, indicating tension–compression asymmetry. In the tension–compression–tension test, the reversal of the loading direction decreased the flow stress, indicating a Bauschinger effect. After tensile prestraining, the unloading stress–strain curves exhibited a slight nonlinearity, and their slopes decreased below the Young’s modulus. A crystal plasticity model incorporating the non-Schmid effect was developed based on our previous model to describe the Bauschinger effect in aluminum alloy sheets (Yoshida K. 2024 International Journal of Solids and Structures, 291:112697). In addition to the resolved shear stress, plastic slip was influenced by the deviatoric stress component normal to the slip plane. The proposed model successfully reproduced the tension–compression asymmetry of flow stress without introducing pressure sensitivity. The reduction in the unloading slope was modeled by introducing a strain-dependent Young’s modulus. The model reasonably reproduced the tension–compression–tension response and approximately represented the overall unloading response. Finally, the model was applied to the springback simulation of L-bending to examine the effects of the crystal plasticity model, particularly its ability to describe the tension–compression asymmetry and unloading behavior. The simulation results showed that improving the accuracy of the crystal plasticity model improved the springback prediction. For the sheet examined in this study, the reduction in the approximated unloading slope had the largest influence among the modeling factors considered.</p>