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The major objective of this paper is to reveal a possible effect of the ideal flow condition on springback. The ideal flow theory is in general applicable for perfectly/plastic materials. However, its kinematics equations constitute a closed-form system and are valid for any incompressible material. This fact can be used to extend design solutions based on the perfectly/plastic constitutive law to more realistic laws. In the present paper, several constitutive laws commonly accepted for the modeling of cold metal forming processes are considered to reveal the effect of the ideal flow condition on springback after bending under tension assuming plane strain deformation.