A constitutive equation taking into account the corner formation on the yield surface and the Bauschinger effect is developed. Long tubes subjected to external pressure and axial load under plane strain and generalized plane strain conditions are analyzed in conjunction with the proposed constitutive equation. The influence of axial load, the Bauschinger effect and corner formation, including the corner angle, and the mobility of the corner axis to the direction of stress history upon such global deformation behaviour as maximum pressure, pressure versus displacement relation, and axial strain, are clarified. With regard to local deformation, these effect on the strain rate and strain localization, surface unevenness and shear band formation are investigated.